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katrin2010 [14]
3 years ago
13

The equation below could be used to solve which of the following problems?

Mathematics
2 answers:
o-na [289]3 years ago
6 0
For these problems, translate key words to operators in an equation:
"is" refers to an equal sign.
"of" refers to multiplication.
letters or variables refer to "what number"

25 = (.65)*w    ------->  25 is 65% of what number
Rina8888 [55]3 years ago
5 0
The answer is A. Twenty-five is 65% of what number?
Why? This is due to how if you multiply 'w'(the number) by 0.65(65%) then you get 25. This indicates that whatever the number is, if it is multiplied by 65% it equals 25. Thus concluding that 25 is 65% of the unknown number.

I hope that helps, have a great rest of your day! ^ ^
{-Ghostgate-}
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Joint-Serve Prosthetics spends 43% of its total expenses for payroll. It increased its total expenses when it spent $250,000 for
Leni [432]
Answer: $2,150,000

Explanation: Let

T = Total expenses of Joint-Serve

Then, before the company acquired robotic assemblers, the expenses allocated for payroll is given by

Expenses for Payroll = 43% of Total Expenses
Expenses for Payroll = 0.43T     (1)
(Because 43% = 0.43)

Because the total expenses increased by $250,000 after spending for robotic assemblers, the total expenses = T + 250,000

So, the payroll expense is now calculated as

Expenses for Payroll = 38% of Total Expenses
Expenses for Payroll = 0.38(T + 250,000)     (2)
(Because 38% = 0.38 and total expenses = T + 250,000)

By comparing equations (1) and (2),

0.43T = 0.38(T + 250,000)&#10;\\ 0.43T = 0.38T + 0.38(250,000)&#10;\\ 0.43T = 0.38T + 95,000&#10;\\ 0.43T - 0.38T = 95,000&#10;\\  \frac{0.05T}{0.05}  =  \frac{95,000}{0.05} &#10;\\ \boxed{T = \$ 1,900,000}

Thus, the total expense before the purchase of robotic assemblers is T = $ 1,900,000. Therefore, the total expense after purchasing the robotic assemblers is T + 250,000 = 1,900,000 + 250,000 = $2,150,000  
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3 years ago
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