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insens350 [35]
2 years ago
7

1. Employees of a landscaping company built a retaining wall with area 23(3/8) sq ft. They used brick to make the top portion of

the wall, which is 8(1/2) feet. What is the total height of the wall? Write an equation to represent the situation. Then solve. Part 2: If the area of the brick portion of the wall is 15(7/12), what fraction of the wall is brick? Write an equation to show your work.
Mathematics
1 answer:
FrozenT [24]2 years ago
4 0

Answer:

a. h = A/w = 2 ³/₄ ft

b. A'/A = 2/3

Step-by-step explanation:

a. What is the total height of the wall? Write an equation to represent the situation. Then solve.

The wall is a rectangle and its area is A = wh where w = width and h = height of wall.

Making h subject of the formula,

h = A/w

Now, Since the area of the retaining wall, A is 23 ³/₈ ft² and its width is the length of the portion of the wall which is brick w is 8 ¹/₂ ft, then

h = A/w

= 23 ³/₈ ft² ÷ 8 ¹/₂ ft

= 187/8 ft² ÷ 17/2 ft

= 187/8 ft² × 2/17 ft

= 187/4 ft² × 1/17 ft

= 187/68 ft

= 2 ³/₄ ft

b. If the area of the brick portion of the wall is 15(7/12), what fraction of the wall is brick? Write an equation to show your work.

Since the area of the brick portion of the wall is A' = 15 ⁷/₁₂ ft²  and the total are of the retaining wall is A =  23 ³/₈ ft²

The fraction of the wall that is brick = A'/A

= 15 ⁷/₁₂ ft² ÷ 23 ³/₈ ft²

= 187/12 ÷ 187/8

= 187/12 × 8/187

= 8/12

= 2/3

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Maggie’s brother is three years younger than twice her age. The sum of their ages is 24. How old is maggie?
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Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. I
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Answer:

Time = 11\frac{2}{3}\ min

Step-by-step explanation:

Given

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Security\ B = 1\ mins, 40\ secs

Required

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Security\ A = 2\ mins+ 20\ secs

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Security\ A = 2\frac{1}{3}\ min

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Security\ B = 1\ mins+ 40\ secs

Security\ B = 1\ mins+ \frac{40}{60}\ min

Security\ B = 1\frac{2}{3}\ min

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In the above lists, the common time is:

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maw [93]
7/9-1/3 or 7/9-3/9= 4/9 is the answer
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