Mathematics: Ce blueprint for a house shows the height of the house to be er inch? 8 inches. the actual house is 21 3 feet tall, what is the unit rate in feet

220 cups. 218 rounded to nearest ten is 220....

Ce blueprint for a house shows the height of

Ответ:

melanie7152

15.01.2022

Mathematics

The unit rate in feet per inch is 6.32 feet.

Step-by-step explanation:

There are mistakes in questions so the correct question is below:

A blueprint for a house shows the height of the house to be 3 3/8 inches. The actual house is 21 1/3 feet tall. What is the unit rate in feet per inch?

Now, to find the unit rate in feet per inch.

Height of the house in blueprint = $3\frac{3}{8}\ inches=\frac{27}{8}\ inches.$

The actual height of the house = $21\frac{1}{3}\ feet=\frac{64}{3}\ feet.$

As:

1 feet = 12 inches.

So, to get the actual height of the house in inches we multiply the actual height of the house by 12:

$\frac{64}{3}\times 12$

$=\frac{768}{3}$

$=256\ inches.$

The actual height of the house in inches = 256 inches.

Now, to get the unit rate in feet we divide the actual height of the house in inches by height of the house in blueprint:

The actual height of the house in inches ÷ Height of the house in blueprint.

$256\ inches\div \frac{27}{8}\ inches$

As we change the division into multiplication the fraction changes into reciprocal.

= $256\times \frac{8}{27}$

$=\frac{2048}{27}$

Now, by using conversion factor:

As, 1 inch = $\frac{1}{12}\ feet$

So, $\frac{2048}{27}\ inches$

= $\frac{2048}{27} \times \frac{1}{12}$

$=\frac{2048}{324} \\=6.32\ feet.$

Therefore, the unit rate in feet per inch is 6.32 feet.

0,0(0 оценок)

Ce
blueprint for a house shows the height of the house to be
er inch?
8 inches. the actual house is 21 3 feet tall, what is the unit rate in feet

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question