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2 years ago

13

Perry designed the murals by drawing small sketches first. His sketch for a mural measures 5 inches wide by 7 in. tall. If he wa

nts to paint it on a wall that’s 45 feet wide, how tall must it be to stay in proportion?

1 answer:

Harlamova29_29 [7]2 years ago

5 0

Answer:

90

Step-by-step explanation:

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Billy has a gallon of paint. He us going to pour it into a paint tray that measures 10 inches wide, 14 inches long and 4cm deep.

erica [24]

Answer:

Tray will overflow with $10.53\ \text{inch}^3$ of paint.

Step-by-step explanation:

Dimensions the tray is 10 inch by 14 inch by 4 cm

$1\ \text{cm}=\dfrac{1}{2.54}\ \text{inch}$

$4\ \text{cm}=\dfrac{4}{2.54}\ \text{inch}$

Volume the tray can hold is

$10\times 14\times \dfrac{4}{2.54}\ \text{in}^3$

$1\ \text{inch}^3=\dfrac{1}{231}\ \text{gallon}$

The volume of paint Billy has is $1\ \text{gallon}$

Difference in the volume of paint and volume of tray in cubic inches is

$\left(1-\dfrac{10\times14\times\dfrac{4}{2.54}}{231}\right)231=10.53\ \text{inch}^3$

The tray will overflow with $10.53\ \text{inch}^3$ of paint.

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