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Alekssandra [29.7K]
3 years ago
12

an advertisement claims that a 5-pound box of detergent will wash 20 loads of laundry. a 5-pound box costs $3.50. a 15-pound box

costs $10.00. how much will you save per load if you buy the 15-pound box? round to the nearest tenth of a cent
Mathematics
1 answer:
worty [1.4K]3 years ago
3 0
A 5 pound box of detergent costs $0.175 per load ($3.50÷20). 
One load of laundry takes 0.25 pounds of detergent (5÷20). This means a 15 pound box can wash 60 loads of laundry (15÷0.25).
A 15 pound box costs about $0.167 per load ($10÷60).
Using a 15 pound box, you will save $<span>0.008 per load ($0.175-$0.167).</span>
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3 years ago
Rationalize the denominator of the fraction: √5/√8 - √3
Lana71 [14]

Answer:

Step-by-step explanation:

Remark

The editor must have brackets put around the denominator when there are 2 terms.

That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.

To rationalize the denominator, you must multiply numerator and denominator by the conjugate  (√8 + √3).

Solution

√5 *  (√8 - √3) /  ( (√8 - √3) *  (√8 + √3)  )  

I don't think there is any point in removing the brackets in the numerator. Just leave it.

The denominator is a different matter.

denominator = ( (√8 - √3) *  (√8 + √3)  )

√8 * √8 = 8

√8 * √3 = √24

- √3 * √8 = - √24

-√3 * √3 = - 3

Take a close look at the 2 middle terms. They cancel out because one of them is plus and the other minus.

What you are left with is 8 - 3 = 5

So the final answer is

√5 *  (√8 - √3)

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

5

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2 years ago
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