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3 years ago

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .

2 answers:

8 0

The volume of the original prism is calculated by multiplying the area of the base by the height,
volume = (8 cm²)(6 cm) = 48 cm³
By the word dilated we mean to say that the dimensions of the new prism is 5/4 times that of the original solid. If we let x be the volume of the new solid,
x / 48 cm³ = (5/4)³
The value of x from the equation above is equal to 93.75 cm³.

hjlf3 years ago

5 0

Answer:

93.75 cm cubed

Step-by-step explanation:

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3 years ago

Pete has 3 dollars less than what Linda has. If together has 81 dollars how much does each person have?

Makovka662 [10]

Answer:

Pete: 39, Linda: 42

Step-by-step explanation:

Suppose Pete has x dollars. If he has 3 dollars less than Linda, then Linda has 3+x dollars. Together, they have 81 dollars:

x+3+x=81

2x+3=81

2x=78

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Since Pete has x dollars, and x=39, he has $39.

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3 years ago

5/8 -0.5 evaluate each expression. Write answer as a decimal

gregori [183]

Answer:

0.125

Step-by-step explanation:

0.5 =1/2

Now

5/8 - 1/2

5/8 - 1*4/2*4

5/8-4/8

(5-4)/8

1/8

0.125

6 0

3 years ago

Write the sentences as proportion. Twelve hundredths is to three as twenty-four hundredths is to eight

ValentinkaMS [17]

Answer:

see the explanation

Step-by-step explanation:

Remember that

A proportion is the ratio (quotient) between two numbers

Twelve hundredths to three is ----> $\frac{0.12}{3}$

Twenty-four hundredths to eight ----> $\frac{0.24}{8}$

therefore

Twelve hundredths is to three as twenty-four hundredths is to eight

$\frac{0.12}{3}=\frac{0.24}{8}$

Note The proportion is not true

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3 years ago