(25 points) Can someone please solve this I just need to see how its solved to understand
Answers
x = total amount of students in 8th Grade.
we know only one-thrid of the class went, so (1/3)x or x/3 went.
we also know 5 coaches went too, and that the total amount of that is 41.
[tex]\bf \stackrel{\textit{one third of all students}}{\cfrac{1}{3}x}+\stackrel{\textit{coaches}}{5}=\stackrel{\textit{total}}{41}\implies \cfrac{x}{3}+5=41\implies \cfrac{x}{3}=41-5 \\\\\\ \cfrac{x}{3}=36\implies x=3(36)\implies x=108[/tex]
now, to verify, well, what do you get for (108/3) + 5?
Related Questions
Solve the right triangle shown in the figure
Answers
Answer:
Option B
Step-by-step explanation:
step 1
Find the measure of angle A
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
∠A+∠B+∠C=180°
substitute the given values
∠A+23.4°+90°=180°
∠A+23.4°+90°=180°-113.4°=66.6°
step 2
Find the length of side BC (a)
Applying the law of sines
c/sin(C)=a/sin(A)
3.3/sin(90)=a/sin(66.6)
a=3.3*sin(66.6)/sin(90)
a=3.0 mm
step 3
Find the length side AC (b)
Applying the law of sines
c/sin(C)=b/sin(B)
3.3/sin(90)=b/sin(23.4)
b=3.3*sin(23.4)/sin(90)
b=1.3 mm
Sara sells beaded necklaces she makes a profit of 4 dollars pn every neclace she sells which table represents the profit sara makes
Answers
if you multiply the number of necklaces sold by 4 for all 4 values in the first column of the table then you should get the value in the second column of the table
Table {4} represents the correct function that represents the profit function.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that Sara sells beaded necklaces she makes a profit of 4 dollars every necklace she sells.
Assume that she sells {x} necklaces in total. So, we can write the function for Sara's profit as -
y = 4x
We can see that table {4} is represented by the profit function.
Therefore, table {4} represents the correct function that represents the profit function.
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Which equation can be used to solve for b?
b = (8)tan(30o)
b = 8/tan(30o)
b = (8)sin(30o)
b = 8/sin(30o)
Answers
Answer:
b=(8) tan (30°)
Step-by-step explanation:
We can use trigonometric ratios to solve a right triangle if the length of one side and an acute angle is known.
In the provided figure the side b is opposite the acute angle BCA while a is adjacent.
Therefore we can use the tangent to find the value of b.
Tan 30 =b/a
Tan 30 =b/8ft
b=(8) tan 30°
Answer:
A. (8)tan(30)
Step-by-step explanation:
If its 10/16 what is answer as a decimal
Answers
Answer:
0.625 is a decimal and 62.5/100 or 62.5% is the percentage for 10/16.
Step-by-step explanation:
Please mark brainliest and have a great day!
[tex]\text{Hey there!}[/tex]
[tex]\frac{10}{16}=10\div16= 0.625[/tex]
[tex]\boxed{\boxed{\text{Answer: 0.625}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
find the volume of the sphere centered at O length of CO is 4.5 cm
Answers
Answer:
V=4/3 πr3
I belive it is.
Answer:
V=121.5pi cm^2
Step-by-step explanation:
V=(4/3)*pi*r^3
V=(4/3)*pi*91.125
V=121.5pi cm^2
1 + x = 7 − 2x solve the equation
Answers
Answer:
x = 2
Step-by-step explanation:
Given
1 + x = 7 - 2x ( add 2x to both sides )
1 + 3x = 7 ( subtract 1 from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
Martha will be entering high school in a couple of years. Which steps should she take to ensure she has money to pay for college? Check all that apply
Answers
Martha should start planning early for her college expenses by seeking advice from school counselors, creating a budget, and researching financial aid such as grants, scholarships, and loans. She should be proactive in understanding the costs associated with her post-graduation lifestyle and utilize tools like the Reality Check to create a comprehensive plan.
Martha can take several important steps to ensure she has money to pay for college, which she should start thinking about as she enters high school. These steps include:
Starting to plan early: Speak with school counselors and the college's financial aid office to learn about grants, scholarships, and prepaid tuition or education savings plans such as 529 plans.Creating a budget to track expenses and income, cutting unnecessary spending, and exploring ways to save more effectively for college expenses.Researching various forms of financial aid, including college grants, scholarships, and loans. Filling out important forms such as the FAFSA (Free Application for Federal Student Aid) to get in line for student loans and other financial aid.Additionally, she should consider exploring different post-secondary options like college, trade schools, or military service, all of which can influence the type and amount of financial planning needed.
Talking to parents and using resources like the Jumpstart Coalition's Reality Check will help Martha gain insights into the cost of her desired lifestyle post-graduation and plan accordingly to ensure she can afford her education and future expenses.
Choose the correct description of the graph of the compound inequality (1 point)
x − 3 < −11 or x + 5 greater than or equal to 14.
A)A number line with a closed circle on −8, shading to the left, and an open circle on 9, shading to the right
B)A number line with an open circle on −8, a closed circle on 9, and shading in between
C)A number line with an open circle on −8, shading to the left, and a closed circle on 9, shading to the right
D)A number line with a closed circle on −8, an open circle on 9, and shading in between
Answers
Heyyyyyyy
C is the answer
I had the same ques
L m a o
Answer:
C) A number line with an open circle on −8, shading to the left, and a closed circle on 9, shading to the right
Step-by-step explanation:
Given compound inequality,
x − 3 < −11 or x + 5 greater than or equal to 14.
⇒ x − 3 < −11 or x + 5 ≥ 14.
⇒ x < - 11 + 3 or x ≥ 14 - 5
⇒ x < -8 or x ≥ 9
Thus, the possible values of x are all real numbers less than -8 excluding -8 and all real numbers greater than 9 including 9,
That is, x ∈ (-∞, -8 ) ∪ [ 9, ∞ )
In the number line the numbers are arranged in ascending order from left to right also in the interval the excluded number is represented by open circle and included number is represented by closed circle.
Hence, correct option is,
A number line with an open circle on −8, shading to the left, and a closed circle on 9, shading to the right
The domain of a function is representative of which one of the following
characteristics of the function?
A. all possible outputs of the function
B. all possible F(x) values of the function
c. all possible (x, y) coordinates
D. all possible inputs of the function
Answers
Answer:
D. all possible inputs of the function
Step-by-step explanation:
Lets look at the options one by one
A. all possible outputs of the function
This is not the correct option because the possible outputs are range of the function
B. all possible F(x) values of the function
Not correct because the f(x) values are the output of the function.
c. all possible (x, y) coordinates
This is also not correct because domain only consists of all the values of independent variable that make the function produce some output
D. all possible inputs of the function
This is the correct answer because domain is the set of all values of independent variable for which the function is not undefined ..
The formula V = πr2h gives the volume of a cylinder with radius r and height h. Solve the formula for r. Show your work.
Answers
First divide both sides by pi and h
V / pi h = r squared
Square root both sides.
The square root of v /pi times h = r
Answer:
[tex]r = \sqrt{\frac{V}{\pi h}}[/tex]
Step-by-step explanation:
The formula to calculate the volume is:
[tex]V = \pi r^{2} h[/tex]
Where r is the radius and h the height of the cylinder.
We need to isolate r. First step is to move pi and h, they can go to the other side dividing.
[tex]V = \pi r^{2} h\\ \pi r^{2} h = V\\ \pi r^{2} =\frac{V}{h}\\r^{2} =\frac{V}{\pi h}[/tex]
Second step, as radius is with an exponent of two, we can use square root.
[tex]r^{2} =\frac{V}{\pi h}\\\sqrt{r^{2}} = \sqrt{\frac{V}{\pi h}}[/tex]
Finally, we can isolate radius - r
[tex]r = \sqrt{\frac{V}{\pi h}}[/tex]
Identify the law illustrated by: 4(3x-7) is equivalent to 12x-28.
Answers
Answer:
Distributive law of multiplication
Step-by-step explanation:
Answer:
Step-by-step explanation
A: No it is not the inverse law of multiplication which has something to do with division.
B: is your answer.
C: It is not the commutative Law. An example of that would be a*b =b*a
D: Identity of multiplication is 1.
What is the result when the number 25 is decreased by 20%?
Answers
Answer:
20
Step-by-step explanation:
100% - 20% = 80%.
80% of 25 = 25 x 0.8 = 20
When the number 25 is decreased by 20%, the result is 20.
Explanation:To find the result when the number $25 is decreased by 20%, we need to calculate 20% of 25 and subtract that from 25.
20% of 25 is (20/100) x 25 = 5.
Subtracting 5 from 25, we get the result as 20.
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1/2 , 5/16 , 30/64 , 3/8 , 9/12 in order from least to greatest
Answers
1/2, 3/8, 5/16, 9/12, and 30/64. Hope this helped!
Answer: 1/2, 9/12, 3/8, 5/16, 15/32
Step-by-step explanation:
(divide 3) 9/12 (divide 3)
=3/4
(divide 2)30/64 (divide 2)
=15/32
8x=2y+5
3x=y+7
what is the solution ?
Answers
Answer: (4.5, 6.5) is your solution
Step-by-step explanation:
You need either the x term or the y term to be the same in both equations so you can eliminate them...
8x=2y+5
6x=2y+14
Now you can subtract the two equations...
2x=9
Divide 9 by 2....
x=4.5 or 4 1/2
Plug in x into one of the original equations to find y...
13.5=y+7
Subtract 7 from 13.5...
6.5=y
What is the value of b for the following circle in general form?
x^2+y^2+ax+by+c=0
Answers
Answer:
a = -2 and b=4 and c = -4
Step-by-step explanation:
the center is : A(1 ; -2)
B(1 ; 1) in this circle so ; AB= r ( ridus)...r =3
note :
an equation of the circle Center at the A(1,-2) and ridus : r is :
(x-1)² +(y+2)² = 3²
x²-2x+1 +y²+4y +4-9 =0
x²+y² -2x+4y -4 = 0 so : a = -2 and b=4 and c = -4
Solve for z :2x+6yz=2xz+2y
Answers
Answer:
z = [tex]\frac{y-x}{3y-x}[/tex]
Step-by-step explanation:
2x+6yz=2xz+2y (rearrange so that z is on one side)
6yz - 2xz = 2y - 2x (divide both sides by 2)
3yz - xz = y - x (factor our z from LHS)
z (3y - x) = y - x
z = [tex]\frac{y-x}{3y-x}[/tex]
Which is the best first step when solving the following system of equations? X+y=3 4x-y=7
Answers
Answer:
Add the two equations together to eliminate y
Step-by-step explanation:
X+y=3
4x-y=7
I would use elimination since one equation has +y and one equation has -y
Add the two equations together
X+y=3
4x-y=7
-------------------
5x = 10
A sprinkler sprays over a distance of 40 feet and rotates through an angle of 80. Find the area watered by the sprinkler.
Answers
The area watered by the sprinkler is 1117.0 sq. feet. The sprinkler sprays in a circular direction with an angle of 80° and a radius of 40 feet.
What is the area of a circle?The area of the circle is πr². If an angle of rotation is θ then the area is calculated by [θ/360]×πr². Where r is the radius.Calculation:Given that,
The sprinkler sprays over a distance of 40 feet i.e., r = 40 feet
The sprinkler rotates at an angle of 80°
So, the area watered by the sprinkler is
= [tex]\frac{80}{360}[/tex] × π × r²
= 0.22 × π × (40)²
= 1117.0 sq. feet
Therefore, the area is 1117.0 sq. feet.
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The area watered by the sprinkler is approximately [tex]\(286.48\)[/tex] square feet, calculated from [tex]\(A = \frac{8100}{9\pi}\).[/tex]
Step 1:
Recognize that the sprinkler's watered area forms a sector of a circle.
Step 2:
Calculate the radius [tex](\(r\))[/tex] of the circle using the formula for the arc length: [tex]\(s = r\theta\)[/tex], where [tex]\(s\)[/tex] is the arc length and [tex]\(\theta\)[/tex] is the angle in radians.
Step 3:
Convert the given angle of 80 degrees to radians: [tex]\(80^\circ \times \frac{\pi}{180} = \frac{4\pi}{9}\)[/tex] radians.
Step 4:
Substitute the given arc length [tex]\(s = 40\)[/tex] feet and angle [tex]\(\theta = \frac{4\pi}{9}\)[/tex] into the formula to find [tex]\(r\): \(40 = r \times \frac{4\pi}{9}\).[/tex]
Step 5:
Solve for [tex]\(r\): \(r = \frac{40 \times 9}{4\pi} = \frac{90}{\pi}\)[/tex] feet.
Step 6:
Calculate the area [tex](\(A\))[/tex] of the sector using the formula: [tex]\(A = \frac{1}{2} r^2 \theta\).[/tex]
Step 7:
Substitute the values of [tex]\(r\)[/tex] and [tex]\(\theta\)[/tex] into the formula: [tex]\(A = \frac{1}{2} \times \left(\frac{90}{\pi}\right)^2 \times \frac{4\pi}{9}\)[/tex].
Step 8:
Simplify the expression to find the area: [tex]\(A = \frac{8100}{9\pi} \approx 286.48\)[/tex] square feet.
Therefore, the area watered by the sprinkler is approximately [tex]\(286.48\)[/tex] square feet.
A roller coaster can take 162 passengers around the track in 9
minutes. The roller coaster operates at a constant rate.
How many passengers can the roller coaster take around the track per minute?
Answers
Answer: 18 people per minute
Step-by-step explanation: 162 divide by 9 equals 18
To find the answer, divide 162 by 9, since you divide 9 by 9 to get 1 minute.
162/9=18
The roller coaster takes 18 passengers around the track per minute.
Hope this helps!
Calculate the monthly finance charge if the average daily balance is $20, the daily periodic rate is 0.05%, and the number of days in the cycle is 30.
Answers
Answer:
$ 0.30
Step-by-step explanation:
Given:
Average daily balance = $20
Daily period rate = 0.05%
Number of days in a cycle = 30 days
The formula to calculate the monthly Finance Charge is:
Monthly finance charge = Balance x APR x (Number of days)/365
We are given the Daily period Rate which is calculated as:
Daily period rate = APR/365
Therefore, we can write the above equation as:
Monthly finance charge = Balance x Daily Periodic Rate x Number of days
Using the given values, we get:
Monthly finance charge = 20 x 0.0005 x 30 = $ 0.30
Therefore, the monthly finance charge would be $ 0.30
Answer:
The answer is $0.30 or 30 cents
Step-by-step explanation:
From the question Given, we recall the following statement
The monthly finance charge if the average daily balance =$20
The daily periodic rate is =0.05%
The number of days in the cycle is =30
We solve for the monthly finance charge
We apply the monthly Finance Charge formula:
Monthly finance charge = Balance x APR x (Number of days)/365
Thus,
20 x 0.05% = 0.01
0.01 x 30 days = 0.30
Therefore the monthly finance charge is = $0.30 or 30cents or 30¢
Martha is training for a duathlon, which includes biking and running. She knows that yesterday she covered a total distance of over 55.5 miles in more than than 4.5 hours of training. Martha runs at a speed of 6 mph and bikes at a rate of 15.5 mph.
Answers
Answer:
Distance: 6x + 15.5y > 55.5
Time: x + y > 4.5
Step-by-step explanation:
We are given that Martha is training for a duathlon and she covered a total distance of over 55.5 miles in more than than 4.5 hours of training.
Also, she runs at a speed of 6 mph and bikes at a rate of 15.5 mph.
We are to write inequalities representing the distance she traveled and the total time she spent training.
Distance: 6x + 15.5y > 55.5
(formula for distance = speed x time so speeds for running and biking are multiplied by their number of hours)
Time: x + y > 4.5
(she trained for more than 4.5 hours, x hours for running and y hours for biking.
what is the area of a triangle with a base of 7 cm and a hight of 4 cm
Answers
Answer:
14 cm²
Step-by-step explanation:
Using the formula given to calculate the area
with b = 7 and h = 4, then
A = [tex]\frac{1}{2}[/tex] × 7 × 4 = 0.5 × 28 = 14 cm²
Take 4a - 3b + 2c from 2a - 3b + 4c.
-2a + 2c
-2a - 2c
2a + 2c
2a - 2c
Answers
=2a-3b+4c-4a+3b-2c
=-2a+2c
Answer:
Option 1 [tex]-2a+2c[/tex]
Step-by-step explanation:
To find : Take [tex]4a - 3b + 2c[/tex] from [tex]2a - 3b + 4c[/tex].
Solution :
The equation [tex]4a - 3b + 2c[/tex] ....(1)
[tex]2a - 3b + 4c[/tex] ....(2)
Taking (1) from (2) means subtracting equitation (2) from (1),
i.e [tex]=(2a - 3b + 4c)-(4a - 3b + 2c)[/tex]
[tex]=2a - 3b + 4c-4a+3b-2c[/tex]
[tex]=-2a+2c[/tex]
So, Taking [tex]4a - 3b + 2c[/tex] from [tex]2a - 3b + 4c[/tex] is [tex]-2a+2c[/tex]
Therefore, Option 1 is correct.
which equation is in quadratic form?
a)4(x-2)^2+3x-2+1=0
b)8x^5+4x^3+1=0
c)10x^8+7x^4+1=0
d)9x^16+6x^4+1=0
Answers
A bag contains 8 red, 4 blue, and yellow marbles.
Answers
[tex]|\Omega|=16\cdot15=240\\|A|=4\cdot3=12\\\\P(A)=\dfrac{12}{240}=\dfrac{1}{20}=5\%[/tex]
A board that is 2/3 of a yard long needs to be cut into four equal pieces. What will the length of each piece be? yd 2 yd yd yd
Answers
Answer:
Step-by-step explanation:
2/3 yard 2 yd
--------------- = ---------------- = 1/6 yd / piece
4 pieces 12 pieces
Alternatively: Use inches:
24 inches
------------------ = 6 inches/piece = 1/6 yd / piece
4 pieces
5x+3=23 what’s is x?
Answers
Answer:
x=4
Step-by-step explanation:
First of all subtract 3 from both sides.
5x+3−3=23−3
5x=20
Then divide both sides by 5.
5x/5=20/5
x=4
The solution to the equation 5x + 3 = 23 is x = 4.
Given is an equation 5x + 3 = 23, we need to solve the equation for the value of x,
To solve the equation 5x + 3 = 23 for the value of x, we'll go through the following steps:
Step 1: Subtract 3 from both sides of the equation to isolate the term with x on the left side:
5x + 3 - 3 = 23 - 3
5x = 20
Step 2: Divide both sides of the equation by 5 to solve for x:
(5x)/5 = 20/5
x = 4
Therefore, the solution to the equation 5x + 3 = 23 is x = 4.
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A jar contains 10 blue marbles, 6 red marbles, and 3 yellow marbles. Cindy picks two marbles at random, without replacement.
Which product gives the probability that both of Cindy's choices be red marbles?
A) 6/19 × 5/19
B) 6/19 × 6/19
C) 6/19 × 5/18
D) 6/19 × 6/18
Answers
========================================================
Explanation:
There are 6 red marbles out of 10+6+3 = 19 total. So 6/19 is the probability of picking one red marble. If that marble is not replaced, then we have 6-1 = 5 red marbles left out of 19-1 = 18 total. The probability of picking another red is 5/18
We have 6/19 as the probability of picking red the first time, then 5/18 as the probability of picking another red marble. The first marble is not put back, and that marble is not replaced.
--------------------------
In terms of math notation, we can say
A = event of picking red on the first selection
B = event of picking red on the second selection
P(A) = 6/19
P(B|A) = 5/18
P(A and B) = P(A)*P(B|A)
P(A and B) = 6/19 * 5/18
What is a fade out transition? A. A scrolling transition B. A transition that happens in the middle of a frame C. A transition that happens as a frame appears D. A transition that happens as a frame disappears
Answers
Answer:
It's between C and D. I would say it's D.
Step-by-step explanation:
Hope my answer has helped you!
By: Syrenity Holford
Find the greatest possible error for each measurement 10 1/8 oz
Answers
The greatest possible error for a measurement of 10 1/8 oz is ± 1/16 oz, considering that 1/8 oz is the smallest visible increment on the measuring scale.
Explanation:The greatest possible error in a measurement refers to the smallest unit that the measuring instrument can discern. In the case of the measurement 10 1/8 oz, we consider the precision of the measuring tool used.
If the smallest division the scale can measure to is 1/8 oz, then the greatest possible error in this case would be ± 1/16 oz. This is because 1/8 oz is the smallest increment visible on the scale, and the actual measurement could be halfway between two increments.
The concept of greatest possible error is critical in determining the accuracy and precision of a measurement. It helps to understand how reliable a given measurement is.
For example, when taking several measurements of the same quantity, like the weight of grocery items, there is often a small variation. This variation is a normal part of measuring and can be due to the limitations of the measuring tool or the person taking the measurement.
Final answer:
The greatest possible error for the measurement of 10 1/8 oz is +/- 1/16 oz, which accounts for the uncertainty of the least precise digit in the measurement.
Explanation:
When considering the greatest possible error for a measurement, it's important to understand that this refers to the uncertainty associated with the least precise digit of the measurement. For a measurement like 10 1/8 ounces, if we are using a standard measuring device that has graduations for every 1/8 of an ounce, then the greatest possible error is half of the smallest unit measured, which in this case is 1/16 of an ounce.
The reason for this is because when a measurement falls between two lines or markings, the measurer must estimate the value to the nearest possible marking. If the measurement is exactly on a line, or marking, there is no need to estimate, but if it is not, then the convention is to record the number to the nearest marking and recognize that there's a potential error up to half the distance to the next marking. So, for the given measurement of 10 1/8 ounces, the greatest possible error would be +/- 1/16 of an ounce.