MATHEMATICS HIGH SCHOOL

A prism with a volume of 360 yd³ is scaled down to a volume of 45 yd³.What is the scale factor?

Enter your answer, as a decimal or a fraction in simplest form, in the box.

Answers

Answer 1

Answer:

Answer: The scale factor is 0.125.

Step-by-step explanation:

Given: The volume of the prism= $360\ yd^3$

The scaled volume of the prism= $45\ yd^3$

We know that when we scaled a shape by a scale factor k, then we multiply k to the dimension of the original shape.

So, to find the scale factor k, we need to the divide the scaled volume by the volume of prism , we get

$k=\frac{\text{scaled volume of the prism}}{\text{volume of the prism}}=(45)/(360)=(1)/(8)=0.125$

Hence, the scale factor k = 0.125

Answer 2

Answer: 45/360 and reduce
45/360 =15/120 = 5/40 = 1/8

The scale factor is 1/8

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ALGEBRA HELP !!!!! Which of the following is the simplest form of this expression? —photo attached

55.04 is what percent of 21.5

Answers

The number 55.04 is 256 % of 256 percentage of the number 21.5

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage be represented as A

Let the first number be represented as p

Now , the value of p = 55.04

Now , the second number is q = 21.5

Now , the percentage of the number 55.04 of 21.50 is given by

p = A % of 21.5

p = ( A / 100 ) x 21.5

Multiply by 100 on both sides , we get

5504 = 21.5A

Divide by 21.5 on both sides , we get

A = 5504 / 21.5

A = 256 %

Therefore , the value of A is 256 %

Hence , the percentage is 256 %

To learn more about percentage click :

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256% is definitely the answer

Every week, Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.Part A
Write an equation that can be used to determine the number of hours, h, Hector works given the number of weeks, W.
Enter your equation in the space provided

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Enter your equation in the space provided.

Answers

Answer:

A). h = 20 w

B). m = 10.5h

Step-by-step explanation:

Part (A).

Let the total number of hours Hector worked = h

And total number of weeks worked by Hector = w

Therefore, number of hours Hector worked in a week = $(h)/(w)$

Since, total number of hours worked in a week = 20

Equation will be,

20 = $(h)/(w)$

h = 20w

Part (B).

Per hour earning of Hector = $\frac{\text{Total earning}}{\text{Number of hours worked}}=(210)/(20)$

$(m)/(h)=10.5$

m = 10.5h

What is 10 more than 39

Answers

Answer:

Step-by-step explanation:

10 more than means 10 greater than = + 10

So you simply add 10 to 39

39 + 10 = 49

49 because 30+10=40 and then you add the 9 so therefor it would be 49

1. Y = x + 6
Y = 2x
A) (6, 12)
B) (-12, -6)
C) (-6,-12)
D) (2,4)

Answers

the answer is a, if x = 6 and y = 12, you get 6+6=12 and 2*6=12
Hope this helps!

Alicia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space, as shown below:(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

Based on the sample space, what is the probability of getting a total of 7?

4 over 36
5 over 36
6 over 36
8 over 36

Answers

i think the answer is 8/36 but i am not sure

A bottle of lotion is shaped like a cylinder with a radius of 3 cm and a height of 12 cm. The empty tube inside the cylinder has a radius of 0.5 cm and is the same height as the bottle.Express your answer to one decimal place.