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Mars2501 [29]
3 years ago
11

Choose all values of a that make the following equation true: 3/4 = a/36.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
4 0

9514 1404 393

Answer:

  B, D

Step-by-step explanation:

The equation can be solved by multiplying by 36.

  3/4 = a/36

  a = 36(3/4) = 108/4 = 27

The listed values that make the equation true are 27 and 108/4.

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The drawing plan for an art studio shows a rectangle that is 17.2 inches by 6 inches. The scale in the plan is 2 in.: 5 ft. Find
Norma-Jean [14]

Answer:

The length is 43 feet, the width is 15 feet, and the area is 645 square feet

Step-by-step explanation:

Let us solve the question

∵ The drawing plan shows a rectangle that is 17.2 inches by 6 inches

∴ The drawing length = 17.2 inches

∴ The drawing width = 6 inches

∵ The scale in the plan is 2 in.: 5 ft

→ By using the ratio method

→  inches: feet

→  2         : 5

→  17.2     : L

→  6         : W

→ By using the cross multiplication

∵ 2 × L = 17.2 × 5

∴ 2L = 86

→ Divide both sides by 2

∴ L = 43 feet

∴ The actual length is 43 feet

→ By using the cross multiplication

∵ 2 × W = 6 × 5

∴ 2W = 30

→ Divide both sides by 2

∴ W = 15 feet

∴ The actual width is 15 feet

∵ The area of the rectangle is A = L × W

∵ L = 43 feet

∵ W = 15 feet

→ Substitute them in the rule of the area

∴ A = 43 × 15

∴ A = 645 feet²

∴ The actual area is 645 square feet

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Hope this is helpful :)

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