Answer:
He have to eat each piece in [tex]\frac{1}{3} \ minute.[/tex]
Step-by-step explanation:
Given:
Brian claims that he can eat a pie that is divided into six equal pieces In two minutes.
If he can eat the whole pie in two minutes.
Now, to find the time he have to eat for each piece.
So, to solve by using unitary method:
If Brian can eat 6 pieces in = 2 minutes.
Then, he can eat 1 piece in = [tex]\frac{2}{6}[/tex] [tex]=\frac{1}{3} \ minute.[/tex]
Therefore, he have to eat each piece in [tex]\frac{1}{3} \ minute.[/tex]
Final answer:
Brian has 20 seconds to eat each of the six equal pieces of the pie if he eats the whole pie in two minutes.
Explanation:
If Brian can eat an entire pie divided into six equal pieces in two minutes, we calculate the time taken to eat each piece by dividing the total time by the number of pieces. So, it is a simple division problem: we divide 2 minutes by 6 pieces to find out how long Brian has to eat each piece.
To find the time for each piece, we perform the calculation: 2 minutes ÷ 6 pieces = 0.333 minutes per piece. Since there are 60 seconds in a minute, to convert this to seconds, we multiply by 60.
Therefore: 0.333 minutes × 60 seconds = 20 seconds per piece. So, Brian has 20 seconds to eat each piece of pie.
Branson and his sister Beatrice combined their allowance of $7 each, so they could buy a movie for $12. They bought $1 containers of fruit salad with the remaining money and split the containers evenly between them. How many containers of fruit salad did they each get?
Answer:
Step-by-step explanation:
Branson and his sister Beatrice combined their allowance of $7 each. This means that the total amount they had is 7 + 7 = $14
They bought a movie for $12. The amount that they have left is
14 - 12 = $2
They bought $1 containers of fruit salad with the remaining money and split the containers evenly between them. This means that the number of containers that they bought is
2/1 = 2
If they split the containers evenly between themselves, then each person would get
2/2 = 1 container of fruit salad
Please I am really Confused If you can help that would be great!
Answer:
The answer to your question is Ariel is correct, x = 27 ft
Step-by-step explanation:
Data
angle = Ф = 47°
Adjacent side = 25
Opposite side = x
Process
1.- To solve this problem, we must use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is tangent.
tan Ф = Opposite side / Adjacent side
- Solve for Opposite side
Opposite side (x) = Adjacent side x tan Ф
-Substitution
x = 25 tan 47
x = 25 (1.0724)
-Result
x = 26.8 ≈ 27 ft
Ariel is correct
Answer:
Incorrect angle; 23 feet
Step-by-step explanation:
She has marked the angle incorrectly
Angle of depression is marked between the line of sight and the hypotenuse
The angle she should use is:
90 - 47 = 43
tan(43) = x/25
x = 25tan(43)
x = 23.31287715
The Cole family owns an above-ground circular swimming pool that has walls made of aluminum. Find the length of aluminum surrounding the pool if the radius is 14 feet.
Answer:
Therefore the length of aluminum surrounding the pool is 88 feet.
Step-by-step explanation:
Circle:
The line is drawn from the center to the arc is the radius of the circle.The value of diameter of a circle is 2 times of the value of radius.The formula of area of a circle = [tex]\pi r^2[/tex] The formula of circumference of a circle [tex]= 2\pi r[/tex].Given that the circular swimming pool has walls made of aluminum.
To find out the length of the of aluminum, we need to find out the circumference of the pool.
The radius of the circular pool is = 14 feet.
Therefore the circumference of the pool is =[tex]2\pi r^2[/tex]
[tex]=2\times \frac{22}{7} \times 14[/tex] feet
=88 feet
Therefore the length of aluminum surrounding the pool is 88 feet.
An airplane pilot fell 370 m after jumping without his parachute opening. He landed in a snowbank, creating a crater 1.5 m deep, but survived with only minor injuries. Assume that the pilot's mass was 84 kg and his terminal velocity was 50 m/s.estimate
Answer:
he ded
Step-by-step explanation:
\neq \lim_{n \to \infty} a_n \pi \left \{ {{y=2} \atop {x=2}} \right. \leq \neq \beta \beta \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \geq \leq \leq \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \beta x_{12 \lim_{n \to\neq \lim_{n \to \infty} a_n \pi \left \{ {{y=2} \atop {x=2}} \right. \leq \neq \beta \beta \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \geq \leq \leq \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \beta x_{12 \lim_{n \to\neq \lim_{n \to \infty} a_n \pi \left \{ {{y=2} \atop {x=2}} \right. \leq \neq \beta \beta \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \geq \leq \leq \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \beta x_{12 \lim_{n \to\neq \lim_{n \to \infty} a_n \pi \left \{ {{y=2} \atop {x=2}} \right. \leq \neq \beta \beta \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \geq \leq \leq \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \beta x_{12 \lim_{n \to\neq \lim_{n \to \infty} a_n \pi \left \{ {{y=2} \atop {x=2}} \right. \leq \neq \beta \beta \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \geq \leq \leq \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \beta x_{12 \lim_{n \to\neq \lim_{n \to \infty} a_n \pi \left \{ {{y=2} \atop {x=2}} \right. \leq \neq \beta \beta \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \geq \leq \leq \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \beta x_{12 \lim_{n \to\neq \lim_{n \to \infty} a_n \pi \left \{ {{y=2} \atop {x=2}} \right. \leq \neq \beta \beta \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \geq \leq \leq \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \beta x_{12 \lim_{n \tohe no alive because ⇆ω⇆π⊂∴∨α∈\neq \lim_{n \to \infty} a_n \pi \left \{ {{y=2} \atop {x=2}} \right. \leq \neq \beta \beta \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \geq \leq \leq \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \beta x_{12 \lim_{n \to[tex]\neq \lim_{n \to \infty} a_n \pi \left \{ {{y=2} \atop {x=2}} \right. \leq \neq \beta \beta \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \geq \leq \leq \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \beta x_{12 \lim_{n \to[/tex]
please look at this multiple choice. thanks!!!!
Step-by-step explanation:
[tex]y = - 2x + 3[/tex]
The slope of the above line = -2
slope of the line perpendicular to the above line = 1/2
If it passes through point (4,-3) , it's equation
[tex] \frac{y - ( - 3)}{x - 4} = \frac{1}{2} [/tex]
[tex] \frac{y + 3}{x - 4} = \frac{1}{2} [/tex]
[tex]2(y + 3) = x - 4[/tex]
[tex]2y + 6 = x - 4[/tex]
[tex]x - 4 - 2y - 6 = 0[/tex]
[tex]x - 2y - 10 = 0[/tex]
A = 1, B = -2 and C = -10
A+B+C= 1+(-2)+(-10)
= 1-2-10
= 1-12
= -11
Answer:
A = 1, B = -2 and C = -10
Step-by-step explanation:
An aircraft departs an airport in the mountain standard time zone at 1515 MST for a 2-hour 30-minute flight to an airport located in the Pacific standard time zone. What is the estimated time of arrival at the destination airport
The flight departing at 3:15 PM MST, after 2 hours and 30 minutes, arrives at an estimated time of 4:45 PM PST considering that PST is one hour behind MST.
Explanation:The subject of this question revolves around time conversion between different standard global time zones. The departure time is 15:15 or 3:15 PM Mountain Standard Time (MST). A flight taking 2 hours and 30 minutes is added onto this original departure time. Therefore, in MST, the arrival time would be 17:45 or 5:45 PM MST. However, we must consider the time difference to Pacific Standard Time (PST) which is one hour behind MST. This means, to reflect PST, we subtract one hour from the MST arrival time, giving us an estimated arrival time of 16:45 or 4:45 PM PST.
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What is the missing reason for the seventh statement?
a. CPCTC
b. AA postulate
c. All right triangles are similar.
d. Transitive property of similarity.
Answer:
b. AA postulate
Step-by-step explanation:
0. An airplane rises vertically 1000 feet over a horizontal distance of 1 mile. What is the
angle of elevation of the airplane's path? (***you need to know how many feet are in 1
mile)
TAN
Answer:
10.7°
Step-by-step explanation:
1 mile = 5280 feet
Tan(X) = 1000/5280 = 25/132
X = (tan^-1)(25/132)
X = 10.72444854
Answer:
Step-by-step explanation:
The movement of the forms a right angle triangle with the ground. The vertical distance which the plane moves represents the opposite side of the right angle triangle. The horizontal distance covered by the plane represents the adjacent side of the right angle triangle.
1 mile = 5280 feet
To determine the angle of elevation, θ, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan θ = 1000/5280 = 0.189
θ = Tan^-1(0.189)
θ = 10.7°
Vicky has 2 jobs offers for teaching. She just finished her Master’s Degree in mathematics education.
A. She can work at Southside High School as a teacher with a base salary of $43,600 per year. She will also coach JV softball which will add another $900 to her annual salary. The contract suggests the school will be expecting her 190 days but she will be provided with 10 sick days. So, she must actually work a minimum of 180 days (any less and her salary will be reduced). Each day will consist of 8 working hours. With this school she will be provided with free life insurance for $15,000 of coverage. Her health & dental or medical premiums are $78/month. Finally, the school system would require her to automatically invest 5% of his her monthly income for retirement.
B. She can work at Central Tech College as a math instructor. She will be paid $900 for each credit hour she teaches. During the course of her first year of teaching, she would teach a total of 50 credit hours. The college expects she will work a minimum of 170 days (any less and the salary would be reduced) and 8 hours each day. At the college she will have to pay $3 per month for a life insurance policy of $25,000. Her health & dental or medical premiums are $85 per month. Finally, the company would require her to automatically invest $200 per month for retirement.
What is Vicky's Gross Monthly Income for the job at Southside High School?
Answer:
I have a feeling its B
Step-by-step explanation:
Vicky's Gross Monthly Income for the job at Southside High School is $3708.33.
What is Gross Income?Gross income of an individual is the income he/she receives before deduction and taxes.
Given that,
Base salary per year = $43,600
Income for coaching JC softball = $900
Free life insurance coverage = $15,000
Health & dental or medical premiums = $78/month
Gross income is the income an employee receives before all the deductions.
Insurance premiums are deducted from the base salary. So it is not included in gross income.
Annual Gross income = $43,600 + $900 = $44,500
Monthly Gross Income = $44,500 / 12 = $3708.33
Hence the monthly gross income is $3708.33.
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If you are given the graph of h(x)=log6x, how could you graph m(x)=log6(x+3)?
Translate each point of the graph of h(x) 3 units up.
Translate each point of the graph of h(x) 3 units down.
Translate each point of the graph of h(x) 3 units right.
Translate each point of the graph of h(x) 3 units left.
Answer: last option.
Step-by-step explanation:
There are several transformations for a function f(x). Some of them are shown below:
1. If [tex]f(x)+k[/tex], then the function is translated "k" units up.
2. If [tex]f(x)-k[/tex], then the function is translated "k" units down.
3. If [tex]f(x+k)[/tex], then the function is translated "k" units left.
4. If [tex]f(x-k)[/tex], then the function is translated "k" units right.
In this case you have the following function:
[tex]h(x)=log_6x[/tex]
And the function m(x) is obtained by transformating the function h(x). This function is:
[tex]m(x)=log_6(x+3)[/tex]
Then, based on the transformatios shown before, you can identify that:
[tex]m(x)=h(x+3)[/tex]
Therefore, you can determine that you could graph the function [tex]m(x)=log_6(x+3)[/tex] by translating each point of the graph of the function h(x) 3 units left.
Hannah is making calzones to sell her restaurant she starts with nine cans of tomato sauce and then use is 9/10 of the cans for her first batch of calzones how many cans of tomato sauce does Hannah use for the first batch of calzones
Answer:
About 8 cans.
Step-by-step explanation:
Given:
She starts with nine cans of tomato sauce.
Then use is 9/10 of the cans for her first batch of calzones
To find:
How many cans of tomato sauce does Hannah use for the first batch of calzones ?
Solution:
She starts with number of cans = 9
Then use is [tex]\frac{9}{10}[/tex] of the cans.
Now, we will find number of cans used for the first batch of calzones by multiplying number of cans she starts with by fraction of cans she used for the first batch of calzones .
[tex]\frac{9}{10} of 9 cans = \frac{9}{10} \times9\\\frac{81}{10} = 8.1[/tex]
Therefore, number of cans used for the first batch of calzones is about 8 cans.
Which construction of parallel lines is justified by the theorem "when two lines are intersected by a transversal and the corresponding angles are congruent the lines are parallel?"
Answer:
c
Step-by-step explanation:
I think you missed attaching the photo, please see my attachment.
And the correct answer is C,
When you look at where the arc meets the parallel lines, if you create a seam between two points, you get a straight line parallel to the horizontal lines so it makes the corresponding angles are congruent.
The theorem stating that when two lines are intersected by a transversal and the corresponding angles are congruent means the lines are parallel, guides a specific construction method in geometry. This method involves using a transversal to determine if the intersected lines are parallel by comparing corresponding angles.
The theorem 'when two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel' justifies a particular construction of parallel lines in geometry.
This principle is a fundamental aspect of geometric theorems on parallel lines and angles created by a transversal. To construct parallel lines using this theorem, one might follow these steps:
Identify or draw a transversal that intersects two lines.
Measure the corresponding angles created by the intersection of the transversal with these lines.
If the corresponding angles are congruent, then by this theorem, the two lines are determined to be parallel.
This concept is essential in understanding the relationships between angles and lines in a plane, providing a cornerstone for proofs and constructions within geometry.
Everett and marie are going to make fruit bars for their family reunion they want to make 4 times the amount the recipe makes if the recipe calls for 2/3 cup of oil, how much oil will they need?
will give brainliest if correct!!1
Triangle PQR is formed by the three squares A, B, and C: A right triangle PQR is shown. On the side PQ of this triangle is a square. Inside the square is written Square A, Area equal to 9 square units. On the side QR of this triangle is another square. Inside the square is written Square B, Area equal to 16 square units. On the side PR of this triangle is another square. Inside the square is written Square C, Area equal to 25 square units. Which statement best explains the relationship between the sides of triangle PQR?
Answer:
PR² = PQ² + QR²
Step-by-step explanation:
Since the triangle PQR is a right triangle, according Pythagorean theorem:
The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.So:
PR² = PQ² + QR²as
25 = 9 + 16Answer:
PR² = PQ² + QR²
Step-by-step explanation:
Taylerbarne can you help me learn to find percentages. Please ASAP!
Sure, what do you need help finding?
Answer:
to find a percentage of a number u multiply/divide 100
Simplify. Identify any x-values for which the expression is undefined. HELP ASAP!!
The required simplified expression is x +6 / x - 4, and the expression is not defined for x ≠ -2, 4. Option B is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression.
= x ² + 8x + 12 / x² - 2x -8
= (x + 6)(x + 2) / (x + 2)(x - 4)
Since, if we put x = -2 and x = 4, the expression will we undefined.
And,
= x + 6 / x -4
Thus, the required simplified expression is x +6 / x - 4, and the expression is not defined for x ≠ -2, 4. Option B is correct.
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40. What is the system of inequalities associated with the following graph?
Answer:
The bottom answer
Step-by-step explanation:
Jim and Stephanie just got married and are thinking about changing their health care insurance plans to be more affordable. Currently, both Jim and Stephanie are insured through their own employers. Jim’s employer pays 42% of his $378 monthly premium. His insurance plan will also pay for 23% of the $345 premium for additional beneficiaries. Stephanie’s employer pays 35% of her $298 monthly premium but offers to pay an extra 10% of her premium for each beneficiary Stephanie adds to her plan. Her employer would then pay 30% of the $349 premium for each additional beneficiary. Insurance Jim's Employer Beneficiary Monthly Premium Employer Contribution Jim $378 42% Additional (each) $345 23% Stephanie's Employer Beneficiary Monthly Premium Employer Contribution Stephanie $298 35% (+10% for each additional beneficiary) Additional (each) $349 30% Which would be the most economical way for the couple to purchase health insurance? a. They should both add each other to their plans. b. Stephanie should add Jim to her health care plan. c. Jim should add Stephanie to his health care plan. d. They should each purchase a plan from their own employer. Please select the best answer from the choices provided A B C D
Answer:
Option B is correct.
Stephanie should add Jim to her health care plan.
Step-by-step explanation:
Let's take the options one by one.
Option 1
If Jim's employers insure him and his wife.
Jim’s employer pays 42% of his $378 monthly premium. His insurance plan will also pay for 23% of the $345 premium for additional beneficiaries.
It means Jim will pay (0.58 of $378) for himself plus (0.73 of $345) for his wife.
Amount Jim pays = (0.58 × 378) + (0.73 × 345) = $471.09
Option 2
If Stephanie's employers insure both of them.
Stephanie’s employer pays 35% of her $298 monthly premium but offers to pay an extra 10% of her premium for each beneficiary Stephanie adds to her plan. Her employer would then pay 30% of the $349 premium for each additional beneficiary.
It means Stephanie would pay (0.65 of $298) she'll pay for herself plus (0.70 of $349) she'll pay for her husband minus (10% of $298) that her company wants to pay out of the insurance fee of any of her additional beneficiary.
Amount Stephanie will pay = (0.65 × 298) + (0.70 × 349) - (0.10 × 298) = $408.2
Option 3
If each of them does an insurance plan with their respective employers
Jim’s employer pays 42% of his $378 monthly premium.
Stephanie’s employer pays 35% of her $298 monthly premium
Jim would pay (0.58 × $378) for himself = $219.24
Stephanie would pay (0.65 × $298) for herself = $193.7
Total they would pay in this option = $219.24 + $193.7 = $412.94
Of all the three options, the option that minimizes their expenses is when Stephanie insures herself and Jim with her employers for a total cost of $408.2 compared to a total cost of $471.09 if Jim insures the two of them with his employers or $412.94 if they respectively insure each other with their respective employers.
Hope this Helps!!!
Insurance is termed as the process of safeguarding against financial loss. It's a type of risk management that's used mostly to protect against the danger of a speculative or unpredictable loss.
An insurer, an insurance company, an insurance carrier, an underwriter is a business that sells insurance.
The correct answer is option B. Stephanie should add Jim to her health care plan.
The evaluation of each and every option is as follows:
Option 1
If Jim and his wife are covered by Jim's employer's insurance.
Jim's $378 monthly premium is covered by his company to the tune of 42 percent. Additional beneficiaries will be covered by 23 percent of his insurance plan's $345 cost.
Jim will have to pay 0.58 of $378 for himself and 0.73 of $345 for his wife.
Jim's payment = = $471.09
Option 2
If both of them are protected by Stephanie's company's insurance.
Stephanie's company pays 35% of her $298 monthly premium, but she has the choice of paying a further 10% of her discount for each beneficiary she adds to her plan. For each new beneficiary, her employer would pay 30% of the $349 payment.
Stephanie would pay (0.65 of $298) for herself plus (0.70 of $349) for her husband, minus (10 percent of $298) that her firm wants to pay out of any of her extra recipients' insurance payments.
Stephanie will pay $408.2 by multiplying (0.65 298) by (0.70 349) by (0.10 298).
Option 3
If they both join an insurance plan via their companies, Jim's employer will cover 42 percent of his $378 monthly payment.
Stephanie's $298 monthly charge is compensated by the business to the tune of 35%.
For himself, Jim would pay [tex](0.58 \times \$378)[/tex]= $219.24
Stephanie would pay (0.65 $298) for herself = $193.7 The total cost of this option would be $219.24 + $193.7 = $412.94.
Stephanie ensures herself and Jim with her employers for a total cost of $408.2, against a total cost of $471.09 if Jim insures the two of them with his employers or $412.94 if they insure each other with their respective jobs.
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The variable z is directly proportional to x. When x is 10, z has the value 140.
What is the value of z when x = 20?
Answer: z = 280
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable causes an increase in the value of the other variable. Also, a decrease in the value of one variable causes an decrease in the value of the other variable.
The variable z is directly proportional to x. If we introduce a constant of variation, the expression would be
z = kx
When x is 10, z has the value 140. It means that
140 = 10k
k = 140/10
k = 14
The equation becomes
z = 14x
the value of z when x = 20 is
z = 14 × 20
z = 280
30 60 90 triangles (quick answers please)
1) EF = 2 and DF = 4
2) KL = 4√3 and JL = 8
3) ST = 6 and RS = 6√3
4) PQ = 4.5√3 and RQ = 4.5
Step-by-step explanation:
Rules for special triangles 30°,60°,90° :
The length of the side opposite to 30° is a.The length of the side opposite to 60° is a√3.The length of the side opposite to 90° is 2a.1) DE = 2√3 is opposite to 60°
⇒ 2√3 = a√3
⇒ a = 2
EF = a which is opposite to 30°.
⇒ EF = 2
DF = 2a which is opposite to 90°.
⇒ DF = 4
2) KJ = 4 is opposite to 30°
⇒ a = 4
KL = a√3 which is opposite to 60°.
⇒ KL = 4√3
JL = 2a which is opposite to 90°.
⇒ JL = 8
3) RT = 12 is opposite to 90°
⇒ 2a = 12
⇒ a = 6
ST = a which is opposite to 30°.
⇒ ST = 6
RS = a√3 which is opposite to 60°.
⇒ RS = 6√3
4) PR = 9 is opposite to 90°
⇒ 2a = 9
⇒ a = 4.5
PQ = a√3 which is opposite to 60°.
⇒ PQ = 4.5√3
RQ = a which is opposite to 30°.
⇒ RQ = 4.5
The output of a plant is 4335 pounds of ball bearings per week (five days). If each ball bearing weighs 0.0113 g, how many ball bearings does the plant make in a single day
Answer:
The plant makes 34,802,178 ball bearings in a single day
Step-by-step explanation:
The total output of a plant in a 5-day week is 4335 pounds
Each ball bearing weighs 0.0113g
We are to calculate the number of ball bearings made per day
First, we ensure both mass are in the same unit
Now 1 pound =453.5924 grams
4335 pounds=453.5924 X 4335 =1966323.054 grams
Number of bearings made in a week therefore
= 1966323.054 /0.0113=174010889.7
≈174010890 (to the nearest whole number)
Since there are 5 days in a week of production,
Daily Production=174010890/5
=34802178
The plant makes 34,802,178 ball bearings in a single da
The formula A=6 2/3 relates the surface area A, in square units, of a cube to the volume V, in cubic units. What is the volume, in cubic inches, of a cube with surface area 486 in2
Answer:
This is the volume of cube V = 729 [tex]in^{3}[/tex]
Step-by-step explanation:
Surface area of cube = 486 [tex]in^{2}[/tex]
Surface area of the cube is given by A = 6 × [tex]a^{2}[/tex]
⇒ 6 × [tex]a^{2}[/tex] = 486
⇒ [tex]a^{2}[/tex] = 81
⇒ a = 9 in
This is the value of side of the cube. so volume of the cube is given by
⇒ V = [tex]a^{3}[/tex]
Put the value of a in above formula w get,
⇒ V = [tex]9^{3}[/tex]
⇒ V = 729 [tex]in^{3}[/tex]
This is the volume of cube
To find the volume of a cube with a surface area of 486 in², calculate the side length using the formula A=6s², leading to a side length of 9 inches, and then calculate the volume as V=s³, resulting in 729 cubic inches.
The volume of a cube with a given surface area using the formula A=6s², where A is the surface area and s is the side length of the cube. First, find the side length by dividing the given surface area by 6, then take the square root. After finding the side length, calculate the volume using the formula V=s³.
Given the surface area A=486 in², the side length s can be found as follows:
Calculate the side length: s = √(A/6) = √(486/6) = √81 = 9 inches.Calculate the volume: V = s³ = 9³ = 729 cubic inches.Match the answers on the left with their properly rounded answers.a. 264.34928 rounded to the nearest tenth b. 264.34928 rounded to the nearest thousandth c. 265.34928 rounded to the nearest one d. 264.34928 rounded to the nearest hundreds e. 265.34928 rounded to the nearest tens f. 264.34928 rounded to the nearest hundredths
Answer: a) 264.3, b) 264.349, c) 265, d) 300, e) 260, f) 264.35.
Step-by-step explanation:
Since we have given that
264.34928 rounded to the nearest tenth.
So, it becomes [tex]264.3[/tex]
264.34928 rounded to the nearest thousandths.
So, it becomes [tex]264.349[/tex]
264.34928 rounded to the nearest one.
So, it becomes [tex]265[/tex]
264.34928 rounded to the nearest hundreds.
So, it becomes [tex]300[/tex]
264.34928 rounded to the nearest tens.
So,it becomes [tex]260[/tex]
264.34928 rounded to the nearest hundredths.
So, it becomes [tex]264.35[/tex]
Hence, a) 264.3, b) 264.349, c) 265, d) 300, e) 260, f) 264.35.
a. 264.34928 rounded to the nearest tenth = 264.3
b. 264.34928 rounded to the nearest thousandth = 264.349
c. 265.34928 rounded to the nearest one = 265
d. 264.34928 rounded to the nearest hundred = 264.35
e. 265.34928 rounded to the nearest ten = 265.3
f. 264.34928 rounded to the nearest hundredth = 264.35
Here are the answers matched with their properly rounded values along with explanations:
a. 264.34928 rounded to the nearest tenth: 264.3
Explanation: The tenths digit is 4, and the digit immediately to the right of it is 9, which is greater than or equal to 5. So, you round up to 264.3.
b. 264.34928 rounded to the nearest thousandth: 264.349
Explanation: The thousandths digit is 9, which is greater than or equal to 5. So, you round up to 264.349.
c. 265.34928 rounded to the nearest one: 265
Explanation: The nearest one for 265.34928 is simply 265 because it is already a whole number.
d. 264.34928 rounded to the nearest hundred: 264.35
Explanation: The hundredths digit is 4, and the digit immediately to the right of it is 9, which is greater than or equal to 5. So, you round up to 264.35.
e. 265.34928 rounded to the nearest tens: 270
Explanation: The tens digit is 6, and the digit immediately to the right of it is 5 or greater. So, you round up to 270.
f. 264.34928 rounded to the nearest hundredth: 264.35
Explanation: The hundredths digit is 4, and the digit immediately to the right of it is 9, which is greater than or equal to 5. So, you round up to 264.35.
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What is the area of a circle whose radius is 6ft? (Use Π)
Question 4 options:
6 Π ft2
9 Π ft2
36 Π ft2
72 Π ft2
Answer:
36 π square feet
Step-by-step explanation:
so the formula for area of a circle is πr^2
so the radius is 6, which we can just plug in
π(6)^2
36π
so option 3
The tallest living man at one time had a height of 259 cm. The shortest living man at that time had a height of 65.6 cm. Heights of men at that time had a mean of 172.27 cm and a standard deviation of 8.82 cm. Which of these two men had the height that was more extreme?
Answer:
Therefore the shortest man of 65.6 cm was more extreme.
Step-by-step explanation:
A z-test is a statistic test. It is used to determine whether two population mean are different when the variances of the population are known and the sample size large.
[tex]z=\frac{x- \mu}{\sigma}[/tex]
z= the standarized z score
x = the height of sample
μ = mean = 172.27 cm
σ = standard deviation = 8.82 cm
For tallest
x = 259
[tex]z= \frac{259-172.27}{8.82}[/tex]
≈9.83
For shortest
x= 65.6
[tex]z= \frac{65.6-172.27}{8.82}[/tex]
≈ - 12.09
The most extreme value has a z score that the furthest from 0.
Since -12.09 is further from 0 than 9.83.
Therefore the shortest man of 65.6 cm was more extreme.
George is a fast worker. He can mop 50 ft2 in 1 minute. The court is shaped like a rectangle. It is 95 ft long by 50 ft wide. How many minutes will it take George to mop the gym floor?
a.) 95 minutes
b.) 3958.3 minutes
c.) 4,750 minutes
d.) 190 minutes
A. 95 95x50=4750 then you divide 4750 by 50 and you get your answer
To find how long George will take to mop the floor, calculate the area of the court (95 ft x 50 ft = 4,750 ft²) and divide it by his mopping rate (50 ft²/min). The calculation shows it will take George 95 minutes to mop the floor.
Explanation:To determine how long it will take George to mop the gym floor, we first calculate the area of the rectangular court.
Multiplying the length by the width gives us the total area that needs to be mopped:
Area = length × widthArea = 95 ft × 50 ftArea = 4,750 ft²Now, since George can mop 50 ft² in 1 minute, we divide the total area by the rate at which George can mop:
Time = total area / mopping rateTime = 4,750 ft² / 50 ft² per minuteTime = 95 minutesTherefore, it will take George 95 minutes to mop the gym floor, which corresponds to option (a).
24p
8
–
36p
6
+
36p
2
Answer:
24p8 - 36p6 + 36p2 = 48p
Step-by-step explanation:
I hope this helps!
The vertex of this parabola is at (-5, -2). When the x-value is -4, the
y-value is 2. What is the coefficient of the squared expression in the parabola's equation?
A 1
B 4
C -1
D 5
Answer:
The answer to your question is letter A
Step-by-step explanation:
Data
Vertex = (-5, -2)
Point = (-4, 2)
This is a vertical parabola the opens upwards.
The equation is
(x - h)² = 4p(y - k)
Substitution
(-4 + 5)² = 4p (2 + 2)
Simplification
1² = 4p(4)
1 = 16p
p = 1/16
Equation of the parabola
(x + 5)² = 4/16(y + 2)
x² + 10x + 25 = 1/4y + 1/2
Conclusion
The coefficient of the squared expression is 1
William has 3 jars of marbles to share equally with his brother the first jar holds 12 marbles the second jar holds 21 marbles the last jar holds 17 marbles write an expression using parentheses to show how many marbles each boy will get.
Answer:
Each boy will get 25 marbles.
Step-by-step explanation:
Given:
William has 3 jars of marbles to share equally with his brother the first jar holds 12 marbles the second jar holds 21 marbles the last jar holds 17 marbles.
Now, to write an expression using parentheses to find number of marbles each boy get.
Let the number of marbles each boy get be [tex]x.[/tex]
Total number of boys = 2.
Number of marbles first jar holds = 12.
Second jar holds = 21.
And third jar holds = 17.
As given, William shares marbles equally with his brother.
Now, we write the expression to find the number of marbles each boy get:
[tex]x=\frac{(12+21+17)}{2}[/tex]
[tex]x=\frac{12}{2} +\frac{21}{2} +\frac{17}{2}[/tex]
[tex]x=6+10.5+8.5[/tex]
[tex]x=25.[/tex]
Therefore, each boy will get 25 marbles.
A watercolor painting is 20 inches long by 9 inches wide. Raymond makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat
The mat adds 3 inches to each side, so the length would be 3+20 = 23 inches. The width would become 3 + 9 = 12 inches.Area = Length x width:
23 x 12 = 276 square inches