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OverLord2011 [107]
4 years ago
7

Patsy delivers free samples of candles. She earns $35.50 per day and $0.75 for each sample she delivers. Tomorrow, Patsy wants t

o earn more than $160. Right and solve an inequality to determine the number of samples (n) Patsy must deliver to earn more than $160.
Mathematics
1 answer:
ycow [4]4 years ago
6 0
160 < 0.75x + 35.50
Subtract 35.59 from both sides to get:
124.50 < 0.75x
Divide both sides by 0.75 to get:
166 < x

She must deliver 166 samples to get $160
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<h3>Answer: 920</h3>

=================================================

Explanation:

The front face is a triangle with area of base*height/2 = 15*8/2 = 60 square feet.

The back face is identical to the front face, so we have another 60 square feet.

The left rectangular wall is 20 ft by 8 ft tall. Its area is 20*8 = 160 ft^2

The right slanted rectangular face is 20 ft by 17 ft. Its area is 20*17 = 340 ft^2

Lastly, the bottom rectangle floor is 15 ft by 20 ft to give an area of 15*20 = 300 ft^2

------------------

To summarize so far

  • Front face = 60 ft^2
  • Back face = 60 ft^2
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  • Right slanted face = 340 ft^2
  • Bottom floor = 300 ft^2

Add up those areas to get the overall surface area.

60+60+160+340+300 = 920

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