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Varvara68 [4.7K]
3 years ago
12

The salesperson earn $172 in COMMISSION last week. How much money, in dollars, did he have in SALES last week?

Mathematics
1 answer:
g100num [7]3 years ago
8 0
We know that the total amount of sales last week was $3,640, so 100% of sales is $3,640. We also  know that the commission earned last week is $172, so we need to find what percentage of $3,640 is $172. To do that we are going to establish a proportion as follows:
\frac{3640---\ \textgreater \ 100}{172---\ \textgreater \ x}
\frac{100}{172} = \frac{100}{x}
Now we just solve for x:
x= \frac{(172)(100)}{3640}
x=4.73

We can conclude that our sales person has a commission of 4.73% over the total amount of sells per week. Since the commission of the last week was $172, the total sales was $3640 because the 4.73% of $3640 is $172.
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ANSWER

Average \: Weight =  7 \frac{1}{8}  \: bushels


EXPLANATION

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We convert all the mixed numbers to improper fraction to obtain,


Average \: Weight =  \frac{ \frac{33}{4}  +  \frac{13}{2} + \frac{53}{8}  }{3}


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This implies that,

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Step-by-step explanation:

<h2><u>Given :-</u></h2>

(√3-√2)/(√3+√2)

<h2><u>To find :-</u></h2>

Rationalised form = ?

<h2><u>Solution:-</u></h2>

Given that

(√3-√2)/(√3+√2)

The denominator = √3+√2

The Rationalising factor of √3+√2 is √3-√2

On Rationalising the denominator then

=> [(√3-√2)/(√3+√2)]×[(√3-√2)/(√3-√2)]

=> [(√3-√2)(√3-√2)]×[(√3+√2)(√3-√2)]

=> (√3-√2)²/[(√3+√2)(√3-√2)]

=> (√3-√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3-√2)²/(3-2)

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Since , (a-b)² = a²-2ab+b²

Where , a = √3 and b = √2

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Hence, the denominator is rationalised.

<h2><u>Answer</u><u>:</u></h2>

Rationalised form of (√3-√2)/(√3+√2) is 5 - 2√6.

<h2><u>U</u><u>sed </u><u>formulae:</u><u>-</u></h2>
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  • (a-b)² = a²-2ab+b²
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