Answers
Answer: x = 37
Explanation: If two parallel lines are cut by a transversal,
then alternate interior angles are congruent.
So we can say that 3x + 4 = 115.
Subtracting 4 from both sides, we have 3x = 111.
Dividing both sides by 3, we find that x = 37.
So the value of x is 37.
Related Questions
∠A and ∠B are vertical angles with m∠A=x and m∠B=3x−60 .
What is m∠A ?
Enter your answer in the box.
Answers
-3x -3x
____________
-2x = -60
-2x / -2 = -60 / -2
x=30
and m∠A = x , m∠B = 3x -60
So,
x = 3x -60
Now we solve this equation for x,
3x - x = 60
2x = 60
x = 30
Thus, the m∠A = 30 And m∠B = 3 (30) - 60 = 90 - 60 = 30
As, they are equal so, m∠A and m∠B is 30.
Johnathan is baking several loaves of bread to sell in his bakery. He used 9 cups of water and 12 cups of whole wheat flour. How much water was used per cup of flour?
Answers
14. During a paint sale, a hardware store sold 33 gallons of flat paint and 57 gallons of high-gloss paint. What's the ratio of gallons of high-gloss sold to the total gallons sold? A. 33 : 90 B. 57 : 90 C. 57 : 33 D. 33 : 57
Answers
The ratio of gallons of high-gloss sold to the total gallons sold is,
D. 33 : 57
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Given, The hardware store sold 33 gallons of flat paint and 57 gallons of high-gloss paint.
Therefore, The ratio of flat paint : high-gloss paint = 33 : 57.
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A student has passed 60 percent of the 20 quizzes he has written so far successfully. if the student writes 50 quizzes during the year, and passes 80 percent of the remaining quizzes successfully, what would his average percentile be?answer:
Answers
His average percentile is 72%
A student passed 60 percent out of 20 quizzes50 quizzes in a year and passed 80 percent of the remaining quizzesThe success rate for all his quizzes for the entire year is unknown.Further ExplanationA student passed 60 percent out of 20 quizzes, which can be expressed as
[tex]\frac{60}{100}[/tex] x [tex]20[/tex]
[tex]60[/tex] x [tex]\frac{20}{100}[/tex]
[tex]\frac{1200}{100}[/tex]
[tex]12[/tex]
Therefore the remaining quizzes will be:
[tex]50[/tex] - [tex]20[/tex]
[tex]30[/tex] quizzes
Also, we have to determine the 80% of 30 quizzes, which can also be expressed as
[tex]\frac{80}{100}[/tex] x [tex]30[/tex]
[tex]80[/tex] x [tex]\frac{30}{100}[/tex]
[tex]\frac{2400}{100}[/tex]
[tex]24[/tex]
To find the total remaining quizzes, then we have to add both value together
Therefore, we have
[tex]30[/tex] + [tex]24[/tex]
[tex]36[/tex]
Thus, the total remaining quizzes is 36.
Now, if the student writes 50 quizzes during the year, his average percentile would be:
[tex]\frac{36}{50}[/tex] x [tex]100%[/tex]
[tex]0.72[/tex] x [tex]100%[/tex]
[tex]72%[/tex]
Therefore, his average percentile is 72%
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A student has successfully passed 60 percent of the 20 quizzes he has written so far https://brainly.com/question/10199310A student has successfully passed 60 percent of the 20 quizzes he has written so far https://brainly.com/question/6687439KEYWORDS:
quizzesstudentspercentagesuccess year entire yearFind slope of the line that passes through the points
(-2,-1) and (4,5)
Answers
What is the value of x, when -25(x - 4) = -55(x - 10)?
A) x = 5
B) x = -5
C) x = 81
8
D) x = 15
Answers
[tex] -25(x - 4) = -55(x - 10)\\\\-25x+100=-55x+550\ \ \ |-100\\\\-25x=-55x+450\ \ \ \ |+55x\\\\30x=450\ \ \ |:30\\\\x=15 [/tex]
Answer: D) x = 15
The table below shows the typical hours worked by employees at a company. A salaried employee makes $78,000 per year. Hourly employees get paid $26 per hour, but get $39 per hour for each hour over 40 hours.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
8
8.5
9.5
10
8
3
Which of the payment options would you recommend to a new employee?
Answers
The recommended method of pay must be salaried because, salaried employee will get more money than hourly paid employee per week.
Further explanation:
Given:
The salary of an employee is [tex]\$\ 78,000[/tex].
The hourly employee get paid is [tex]\$26\text{ /hour}[/tex] and after [tex]40[/tex] hour the employee get [tex]\$39\text{ /hour}[/tex].
Calculation:
The number of week in a year is [tex]52[/tex].
Therefore the salary of the employee per week can be obtained as follows:
[tex]\begin{aligned}\text{Salary per week}&=\dfrac{78000}{52}\\&=15000\end{aligned}[/tex]
The salary of the employ per week is [tex]\bf \$\ 1,500[/tex].
The number of hours worked by the hourly paid employee in the week is [tex]47\text{ hours}[/tex] since the sum of all the hours of the week is [tex]47[/tex].
The hourly paid employee works extra [tex]7\text{ hours}[/tex] per week.
The amount earned by hourly paid employee can be obtained as follows:
[tex]\begin{aligned}\text{Amount earned}&=(26\cdot 40)+(7\cdot 39)\\&=1040+273\\&=1313\end{aligned}[/tex]
Therefore, the dollars earned by the hourly paid employ per week is [tex]\$\1,313[/tex]
Since, the salaried employee make more money than and hourly paid employee per week.
Therefore, the highly recommended method of pay for new employee must be salaried.
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Linear Equation
Keywords: Employee, $26, hourly, 40 hours, $78,000, Salaried, per year, hours, payment ,working hours, hourly, hourly paid employee, more money.
The payment options would you recommend to a new employee is $1150.
The salary of $67,000, when divided by 52 weeks, results in a weekly payment of $1288.
For standard hourly employees working 44 hours per week, the breakdown is as follows: 40 regular hours at $25 per hour amounting to $1000, with an additional 4 hours of overtime at $37.50 per hour, totaling $150.
This computation reflects a fair compensation structure that considers both regular working hours and overtime, ensuring equitable remuneration for employees based on their hourly rates and the hours worked beyond the standard weekly timeframe.
Consequently, the total weekly compensation for hourly employees is $1150.
Joe painted 1/4 of a bedroom in 1/2 a day. How many days will it take for Joe to paint one bedroom?
Answers
Final answer:
Joe painted a quarter of a bedroom in half a day, so it would take him 2 days to paint the entire bedroom.
Explanation:
If Joe painted ¼ of a bedroom in ½ a day, we can determine that to paint the entire bedroom, it would take four times as long since a full bedroom is four times as much as one quarter. Multiplying ½ day by 4, we get:
½ day * 4 = 2 days
Therefore, it will take Joe 2 days to paint the whole bedroom. Understanding the proportionality between the fraction of work completed and the time required enables accurate estimation of the total time needed for a task.
This logical approach simplifies complex problems and aids in efficient planning and resource management.
What is the smallest degree of rotation that will map a regular 15-gon onto itself?
Enter your answer in the box.
Answers
The correct answer is:
24°.
Explanation:
To find the degrees of rotational symmetry, you divide 360° by the order of symmetry.
For a regular 15-gon, the order of symmetry is 15 (there are 15 vertices that the polygon can be turned to and be mapped onto itself).
This means the degrees of symmetry would be
360/15 = 24°.
Answer:
24
Step-by-step explanation:
The radius of a cylinder is increased from 9 to 9.03 inches. if the height remains constrant at 12 inches. Estimate the change in volume
Answers
V = πr²h
where V is the volume, r is the radius, and h is the height
Substituting the known values,
V₁ = π(9 in)²(12 in) = 3053.63 in³
2. Do the same for the cylinder with the increased radius,
V₂ = π(9.03 in)²(12 in) = 3074.02 in³
3. Lastly, determine the difference between the two volumes through the equation,
d = V₂ - V₁
Substituting the known values,
d = 3074.02 in³ - 3053.63 in³
d = 20.39 in³
Number 5555555555555
Answers
Nick and his cousin Sara have the same birthday, but Nick is is eight years older than Sarah. Let the variable x represents nicks age and y represents Sara’s age. Which graph represents the relationship between nicks age and Sara’s age
Answers
y = Sara's age
Nick is 8 years older than Sara, therefore
y = x - 8
A graph of y versus x is shown below.
the length of a Rectangle is 6 cm more than the width. the area is 11cm2 find the length and width
Answers
lets call width w, then length will be w+6 since area is 11 then
w(w+6)=11
w^2+6w-11=0
since our answer can't be negative because width can't be negative our answer would be
(about 5.9) and since length was 6 more than width
then length is
(about 11.9)
I hope this helped!
Mr. Battles raised all of his students' scores on a recent exam by 5 points. What effect did this have on the mean and standard deviation of the scores?
Answers
The standard deviation will also go up.
hope this helps
The answer is The mean increased by 5 points, but the standard deviation remained the same.
describe a real life representation of the following 12/140 = 0.09
Answers
12/140 = .085 which rounds to .09. Multiply by 100 to get 9%
After 8 years, what is the total amount of a compound interest investment of$25,000 at 3% interest compounded quarterly?
Answers
Your question: After 8 years, what is the total amount of a compound interest investment of $25,000 at 3% interest compounded quarterly?
Answer: $31,752.78
Good luck mate. Remember to look through notes and so-forth.
the answer is this :3
If m <5=42, what is m <4?
A.42
B.48
C.128
D.138
Answers
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
(x – 3)2 + (y – 5)2 = 6
(x – 3)2 + (y – 5)2 = 36
(x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36
Answers
[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]
where (h, k) is the center of a circle and r is its radius. So, we have:
[tex] (x +3)^{2} + (y +5)^{2} = 36[/tex]
The answer is the last one.
Answer:
Option D. (x + 3)² + (y + 5)² = 36
Step-by-step explanation:
We have to find the equation of a circle given with a center at (-3, -5) and radius of 6.
Since the standard equation of a circle is
[tex](x -h)^{2}+(y-k)^{2}=r^{2}[/tex]
where (h, k) is the center and r is the radius.
Now we form an equation of a circle given with center (-3, -5) and radius = 6 units.
(x + 3)² + (y + 5)² = 6²
(x + 3)² + (y + 5)² = 36
Therefore Option D is the answer.
Consider △LNM below. Which statements are true for triangle LNM? Check all that apply. (Pick more than one!)
[] The side opposite ∠L is NM.
[] The side opposite ∠N is ML.
[] The hypotenuse is NM.
[] The hypotenuse is LN.
[] The side adjacent ∠L is NM.
[] The side adjacent ∠N is ML.
Answers
Answer:
A,B,D ON EDGE. ASSIGNMENT
The statements that are true for triangle LMN are the 1st, 2nd and fourth options. That is
[] The side opposite ∠L is NM.
[] The side opposite ∠N is ML.
[] The hypotenuse is LN.
The question as well as the accurate diagram is shown in the attachment below.
To determine which statements are true for triangle LNM, we will observe each of the options one after the other.
For the first option - [] The side opposite ∠L is NMIn the diagram, the side opposite angle L is side NM
∴ The statement "The side opposite ∠L is NM" is true
For the second option - [] The side opposite ∠N is MLIn the diagram, the side opposite angle N is side ML
∴ The statement "The side opposite ∠N is ML" is true
For the third option - [] The hypotenuse is NMIn a right triangle, the hypotenuse is the longest side. It is the side opposite the right angle.
In the diagram, NM is not the side opposite the right angle. LN is the side opposite the right angle.
∴ The statement "The hypotenuse is NM" is not true
For the fourth option - [] The hypotenuse is LNAs stated above, LN is the side opposite the right angle. That is, LN is the hypotenuse.
∴ The statement "The hypotenuse is LN" is true
For the fifth option -[] The side adjacent ∠L is NMThe side adjacent an angle is the side next to it.
In the diagram, side NM is not adjacent to angle L, it is opposite to angle L.
∴ The statement "The side adjacent ∠L is NM" is not true
For the sixth option - [] The side adjacent ∠N is MLIn the diagram, side ML is not adjacent to angle N, it is opposite to angle N.
∴ The statement "The side adjacent ∠N is ML" is not true
Hence, the statements that are true for triangle LMN are the 1st, 2nd and fourth options. That is
[] The side opposite ∠L is NM.
[] The side opposite ∠N is ML.
[] The hypotenuse is LN.
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A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New York and 1 intermediate stops on the way back to Chicago. Suppose you make a graph on the altitude of the plane for one day, whit time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?
Answers
Answer:
7
Step-by-step explanation:
The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.
Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.
Next, when the plane lands in New York the altitude will touch the horizontal axis.
Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.
Lastly the altitude will touch the axis when plane lands back in Chicago.
So, cumulatively the altitude will touch the horizontal axis seven times.
The altitude vs time graph for the plane's journey will touch the horizontal axis 6 times - at each landing during the round trip from Chicago to New York and back.
Explanation:The graph of the plane's altitude versus time will touch the horizontal axis each time the plane lands. The plane lands at the 3 intermediate stops on the way to New York, once in New York, at the 1 intermediate stop on the way back, and once back in Chicago. This totals up to 6 times. Skyward journeys will create upward curves on the graph while the landings create points where the graph touches the horizontal axis (indicating an altitude of 0 at landing).
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please please please help!!! Find the quotient and express the answer in scientific notation.
302 divided by (9.1 x 10^4)
A) 3.32 x 10^-4
B) 3.32 x 10^-3
C) 3.32 x 10^4
D) 3.32 x 10^3
Answers
= (3.02 x 10^2) / (9.1 x 10^4)
= 0.332 x 10^-2
= 3.32 x 10^-3
answer
B) 3.32 x 10^-3
The quotient of the expression in scientific notation will be
⇒ 3.32 × 10³
Option D is true.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ 302 divided by (9.1 x 10⁴)
Now,
Solve the expression as;
⇒ 302 divided by (9.1 x 10⁴)
Divide as;
⇒ 302 ÷ (9.1 x 10⁴)
⇒ 302 / 9.1 × 10⁴
⇒ 33.20 × 10⁻⁴
⇒ 3.32 × 10⁻⁴⁺¹
⇒ 3.32 × 10⁻³
Thus, The quotient of the expression in scientific notation will be
⇒ 3.32 × 10³
Option D is true.
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Cole had 3/4 hour of free time before dinner. He spent 2/3 of the time playing guitar. How long did he spend playing guitar? Please help me! I have seen some previous people asking questions but I am not sure if they are correct.
Answers
The domain of a function is?
A.The set of all points on the function.
B.The set of all first elements of the function.
C.The set of all second elements of the function.
Answers
Answer:
The correct option is B) the set of all first elements of the function.
Step-by-step explanation:
Consider the provided information.
Domain: Domain is the set of all values which a function can take or the domain is the set of all first elements of ordered pairs.
For example:
The domain of the polynomial function is the set of all real numbers.
Consider the another example:
A = {(green,mark), (yellow,Kyle), (blue,Elaine)}
The domain is {green,yellow,blue}
Therefore, the correct option is B) the set of all first elements of the function.
Hello! I'm in seventh grade and I just started Algebra and I do not know what "simplifying the expression" means. Could someone please explain it? Thanks in advance.
Answers
Answer:
To diminish a portion to its most minimal terms by dropping to the least regular factor for both numerator and denominator or to gather a mathematical articulation by gathering and joining comparative terms. Working on makes an algebric articulation effectively reasonable and resolvable.
Step-by-step explanation:
To simplify any algebraic expression, the following are the basic rules and steps:
1. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
2. Use the exponent rule to remove grouping if the terms are containing exponents.
3. Combine the like terms by addition or subtraction.
4. Combine the constants.
If a(x) = 3x + 1 and b(x)= √x-4 , what is the domain of (b*a)(x)
Answers
b(x) = √(x-4)
Therefore
[tex](b \circ a) (x) = \sqrt{3x+1-4} =\sqrt{3x-3} [/tex]
This composition of functions is only defined as a real number when x≥0.
Therefore its domain is x = [1,∞]
Answer: [1,∞]
Answer: The correct option is C. The domain of [tex](b\circ a)(x)[/tex] is [tex][0,\infty)[/tex].
Explanation:
It is given that,
[tex]a(x)=3x+1[/tex]
[tex]b(x)=\sqrt{x-4}[/tex]
First we have to find the composite function [tex](b\circ a)(x)[/tex].
[tex](b\circ a)(x)=b(a(x))[/tex]
[tex](b\circ a)(x)=b(3x+1)[/tex]
[tex](b\circ a)(x)=\sqrt{3x+1-4}[/tex]
[tex](b\circ a)(x)=\sqrt{3x-3}[/tex]
We know that a root function is defined for only positive values therefore the composite function is defined if,
[tex]3x-3\geq 0[/tex]
[tex]3x\geq 3[/tex]
[tex]x\geq 1[/tex]
The function is defined for all the values of x which are greater than or equal to 1. Therefore the domain of [tex](b\circ a)(x)[/tex] is [tex][0,\infty)[/tex] and option C is correct.
Find two consecutive integers whose sum is 73. Which of the following equations could be used to solve the problem?
a:2x = 73
b: 2x + 1 = 73
c;2x + 2 = 73
d:x2 + 1= 73
Answers
2x = 72
x = 36
the 2 integers are 36 and 37
Its b
Answer:
b: 2x + 1 = 73
Step-by-step explanation:
Let x be the smaller integer,
Then the larger integer consecutive to x is x + 1,
Sum of these integers = x + x + 1 = 2x + 1
According to the question,
The sum is 73
⇒ 2x + 1 = 73
Which is the required equation that could be used to solve the problem.
Option 'b' is correct.
how do you do this?
fg-9h=10j solve for g
Answers
It should be noted that when g is made the subject of the formula in fg - 9h = 10j, g will be g = (10j - 9h) / f.
How to illustrate the information?It should be noted that an equation is used to show the relationship that exist between the variables that are illustrated.
Based on the information, it should be noted that we want to make g the subject of the formula. This will be illustrated as:
fg - 9h = 10j
Add 9 h to both sides
fg - 9h + 9h = 10j - 9h.
fg = 10j - 9h.
Divide through by f
fg / f = (10j - 9h) / f
g = (10j - 9h) / f
In this case, it should be noted that when g is made the subject of the formula in fg - 9h = 10j, g will be g = (10j - 9h) / f.
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To solve for g in the equation fg - 9h = 10j, add 9h to both sides and then divide by f, resulting in g = (9h + 10j)/f.
To solve the equation fg - 9h = 10j for g, you need to isolate g on one side of the equation. This can be achieved by performing the following steps:
Add 9h to both sides to get fg = 9h + 10j.Divide both sides by f to get g = (9h + 10j)/f.By following these steps, g is isolated and the equation is solved for g. Remember to apply the order of operations correctly when substituting any given values for f, h, and j.
What is the algebraic expression for the difference of 17 and 5 times a number?
Answers
the difference of 17 ( 17 -
5 times a number 5n
17 - 5n
Solve for x. x−2.7≥10.3 Enter your answer, as an inequality, in the box.
Answers
Joe wants to saw a wooden plank into 3/4 -meter pieces. The length of the wooden plank is 15/4meters. How many 3/4 -meter pieces can Joe saw from the wooden plank?
Answers
Answer:
5 is your answer
Step-by-step explanation: