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3241004551 [841]
1 year ago
9

at a sale a desk is being sold for 24% of the regular price. the sale price is $182.40 what is the regular price

Mathematics
1 answer:
san4es73 [151]1 year ago
8 0

at a sale a desk is being sold for 24% of the regular price. the sale price is $182.40 what is the regular price​

we have that

24% ------> represent $182.40

so

Applying proportion

Find out the 100%

Let

x ----> the regular price

182.40/24=x/100

solve for x

x=(182.40)*(100)/24

x=$760

therefore

<h2>The regular price is $760</h2>
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zmey [24]

Answer:

Part 1) The inequality that represent this situation is 5(x+7)^{2} \geq1,050  or  5x^{2}+70x+245 \geq1,050

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ---->  the width of Andrew's tablet

we know that

L=5W ------> equation A

W=x+7 ----> equation B

The area of the television is

A=LW -----> equation C

Substitute equation A and equation B in equation C

A=5(x+7)(x+7)

A=5(x+7)^{2}

5(x+7)^{2} \geq1,050

5(x^{2}+14x+49) \geq1,050

5x^{2}+70x+245 \geq1,050 ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

5(8+7)^{2} \geq1,050

5(15)^{2} \geq1,050

1,125 \geq1,050 -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

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