Answer:
The old fish tank hold <u>18.84 cubic feet</u> of water.
Step-by-step explanation:
Given:
An old fish tank in the form of a circular cylinder and it is 2 feet in diameter and 6 feet tall.
Now, to find the cubic feet of water the fish tank hold.
Dimensions of old fish tank are:
<em>Diameter is 2 feet so. we find the radius first.</em>
Radius (
) = 
Height (
) = 
Now, to get the cubic feet off water the tank hold we put formula:
<u><em>(Taking the value of π as 3.14.)</em></u>

Therefore, the old fish tank hold 18.84 cubic feet of water.
Answer:
When the absolute value of the scale factor is less than one, a compression occurs. When the absolute value of the scale factor is equal to one, neither an expansion nor a compression occurs.
Step-by-step explanation:
:)
Answer:
Part A
The number of cups of blue paint that Lara mixed with each cup of red paint is 3 cups of blue paint
Part B
1/3 cup of red paint is added to 1 cup of blue paint
Part C
The unit price per cup of blue paint is $8 per cup of blue paint
Step-by-step explanation:
The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3: 1
Part A: Write a sentence to describe the number of cups of blue paint that Lara mixed with each cup of red paint (4 points)
The ratio is
Blue paint : Red paint
= 3 : 1
Hence,
The number of cups of blue paint that Lara mixed with each cup of red paint is 3 cups of blue paint
Part B: How many cups of red paint should Lara add to each cup of blue paint to make the shade of purple? Explain your reasoning (4 points)
From Part A , we know that
3 cups of blue paint = 1 cup of red paint
1 cup of blue paint = y
Cross Multiply
3 × y = 1 × 1
y = 1/3
Hence, 1/3 cup of red paint is added to 1 cup of blue paint
Part C: I Lara purchased 6 cups of blue paint for $48, what is the unit price per cup of blue paint? (2 points)
6 cups of blue paint = $48
1 cup of blue paint = x
6 × x = $48 × 1
x = $48/6
x = $8
Answer:
Step-by-step explanation:
1) $399 = 84% of the original amount
Divide both sides by 84 to get what one percent would be
$4.75 = 1%
Then multiply both sides to get one hundred percent [the original price]
$475 =100%
Use this method to do the second question
$450.50 = 85%
Divide by 85
$5.30 = 1%
Multiply by 100
$530 = original price