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antiseptic1488 [7]
3 years ago
8

Employees at a hardware store are receiving pay raises. Dan’s hourly pay rate is increasing from $12 to $14. Kathy’s hourly pay

rate is increasing from $13 to $15.
Part A
Complete the proportions that can be used to find the percent change, x, in Dan’s and Kathy’s pay rates.
Part B
Which statement is true
The amount of change in pay rates is greater for Kathy than for Dan.
The amount of change in pay rates is greater for Dan than for Kathy.
The percent change in pay rates is greater for Kathy than for Dan.
The percent change in pay rates is greater for Dan than for Kathy.
Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

For Part A:Change in Dan's increase is 1.6666666667 percent from his original pay and Kathy's is 1.53846153846 percent increase

For part B: The change in pay rates is greater for Dan than Kathy

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A water trough has two congruent isosceles trapezoids as ends and two congruent rectangles as sides. The exterior surface area o
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Answer:

Part a) The exterior surface area is equal to 160\ ft^{2}

Part b) The volume is equal to 240\ ft^{3}

Part c) The volume water left in the trough will be 84\ ft^{3}

Step-by-step explanation:

Part a) we know that

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<em>Find the area of two trapezoids</em>

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120\ ft^{2}+40\ ft^{2}=160\ ft^{2}

Part b) Find the volume

we know that

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V=BL

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we have

B=20\ ft^{2}\\ L=12\ ft

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V=20(12)=240\ ft^{3}

Part c)

step 1

Calculate the area of the trapezoid for h=2 ft (the half)

the length of the midsegment of the trapezoid is (8+2)/2=5 ft

A=\frac{1}{2}(5+2)(2)=7\ ft^{2}

step 2

Find the volume

The volume is equal to

V=BL

where

B is the area of the trapezoidal face

L is the length of the trough

we have

B=7\ ft^{2}\\ L=12\ ft

substitute

V=7(12)=84\ ft^{3}

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