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kirza4 [7]
3 years ago
14

Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint t

he room and put in new flooring. The new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. The bed cost $558.49, and the cost of the dresser represented 1/4 of the total amount Charlotte spent on furniture.
For the flooring, Charlotte has decided to put new carpet in the bedroom. She has calculated that the carpet itself will cost $427.35, and the labor to install the carpet will cost $212.52. There is also a $75 fee covering the cost of other flooring supplies, tools, and materials.

1. What percent of the flooring bill will go towards the cost of labor? Round your answer to the nearest percent.

2. If Charlotte spent 25% more on furniture than she will on flooring, how much did she spend on furniture to the nearest cent?

3. What percent of the total furniture cost did Charlotte spend on the nightstand? Round your answer to the nearest percent.
Mathematics
1 answer:
Leto [7]3 years ago
5 0
1) 30% - 212.52/(427.25+212.52+75)

2) 893.59

Total amount spent on Flooring (427.25+212.52+75) = 714.87

Amount spent on furniture = 714.87 * 1.25= 893.59

3) 13%

(893.59-558.49-893.59/4)/893.59

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No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.

<h3>When are Two Lines Proven to be Parallel to each other?</h3>

Two lines that are cut across by a transversal can be proven to be parallel to each other if:

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  • The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].
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