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Fofino [41]
3 years ago
15

Simplify the expression 49

2} " alt=" \frac{1}{2} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
dimaraw [331]3 years ago
8 0
To convert a mixed fraction into an improper fraction:

a\frac{b}{c} =\frac{(a\cdot c)+b}{c}

49 \frac{1}{2} = \frac{(49\cdot 2)+1}{2} = \frac{98 +1}{2} = \boxed{\bf{\frac{99}{2}}}
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mike charges 100 dollars service charge plus 65 dollars per hour.  

amy charges 40 dollars service charge plus 80 dollars per hour.  

the cost to repair from mike is 100 + 65 * x.  

the cost to repair from amy is 40 + 80 * x.  

let x = 3 and you get:  

the cost to repair from mike is 100 + 65 * 3 = 295 dollars.  

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3 years ago
Use the data below.
LuckyWell [14K]

Step-by-step explanation:

mean = sum of all data points / number of data points

(22+16+18+14+16+34+20)/7 = 140/7 = 20

median is the number, where half of the data points are smaller, and the other half are larger.

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2 years ago
If 3 workers can paint a room in 2 hours, then approximately how long does it take 4 workers to paint the same room? Assume the
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It takes 1.5 hours for 4 workers to paint the same room

<em><u>Solution:</u></em>

Given that 3 workers can paint a room in 2 hours

To find: Time taken for 4 workers to paint the same room

Assume the time needed to paint the room is inversely proportional to the number of worker

time $ \propto \frac{1}{\text { number of workers }}\\\\time =k \times \frac{1}{\text { number of workers }}

Where, "k" is the constant of proportionality

<em><u>3 workers can paint a room in 2 hours</u></em>

Substitute number of workers = 3 and time = 2 hours

time =k \times \frac{1}{\text { number of workers }}\\\\2 = k \times \frac{1}{3}\\\\k = 6

Therefore,

\text {time}=6 \times \frac{1}{\text { number of workers }}

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Thus it takes 1.5 hours for 4 workers to paint the same room

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xeze [42]

Answer:

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