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ale4655 [162]
3 years ago
12

If Alex and Brandon work together, they will finish cleaning the school in 15 hours. Working alone, Brandon can finish the same

job in 20 hours. How long will it take Alex to do the job by himself?
Mathematics
1 answer:
andriy [413]3 years ago
3 0

Answer:

Alex can do the job in 60 days alone.

Step-by-step explanation:

Alex and Brandon working together, they can finish the job of cleaning the school in 15 hours. Brandon alone in 20 hours can finish the job.

So, Brandon can complete \frac{1}{20} part of the job in one hour.

Let, Alex alone can finish the same job in x hours.

So, Alex can complete \frac{1}{x} part of the job in one hour.

So, working together they do (\frac{1}{20} + \frac{1}{x}) = \frac{x + 20}{20x} part of the whole job in one hour.

Hence, from the conditions given we can write

\frac{x + 20}{20x} = \frac{1}{15}

⇒ 15x + 300 = 20x

⇒ 5x = 300

⇒ x = 60 days.

Therefore, Alex can do the job in 60 days alone. (Answer)

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PSYCHO15rus [73]

Answer:

  60°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...

  Tan = Opposite/Adjacent

For our angle of elevation α, this means ...

  tan(α) = 125/72

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The angle of elevation is about 60°.

5 0
3 years ago
what is the total weight of the italian Sandwhich?write the amount as a fraction in simplest form,meat:0.35,vegie:0.15,sauce:0.0
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The total weight of the Italian sandwich in its simplest fraction is 3/5.

meat      : 0.35  in fraction 35/100
veggies : 0.15 in fraction 15/100
sauce    : 0.05 in fraction 5/100
bread     : 0.05 in fraction 5/100

Total weight = 35/100 + 15/100 + 5/100 + 5/100
                    = (35 + 15 + 5 + 5) / 100
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To simplify the fraction:

60/100 ⇒ 60 ÷ 10 = 6 ; 100 ÷ 10 = 10 ⇒ 6/10
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7 0
3 years ago
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lara31 [8.8K]
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How do you simplify the radical √144 ?
SVETLANKA909090 [29]

Answer:

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Step-by-step explanation:

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One concept that we must remember when completing the square is that

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So, going back to the function, we have

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Answer: f(x) = (x + 7)² - 9
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