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HACTEHA [7]
3 years ago
12

Working together, it takes two computers 15 minutes to send out a company's email. If it takes the slower computer 60 minutes to

do the job on its own, how long will it take the faster computer to do the job on its own? Do not do any rounding.
Mathematics
1 answer:
Sliva [168]3 years ago
6 0
<span>Let x = time (minutes) it takes for the faster computer to do the job alone
then
12(1/30 + 1/x) = 1
</span><span><span>multiplying both sides by 30x:
12(x + 30) = 30x
12x + 360 = 30x
360 = 18x
20 minutes = x
</span><span>
</span></span>
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What is the value of x?<br> A. 3<br> B. 9<br> C. 15<br> D. 30
ra1l [238]

Answer:

<em>C. 15</em>

Step-by-step explanation:

Assuming that these segments formed from each parallel line are proportional, x/5 = x-6/3.

Now cross multiply by multiplying each denominator by the opposite numerator, this is so the denominators or bottom numbers of each fraction will cancel.

x/5 = x–6/3 → (3)(x/5) = (3)(x–6/3) → 3x/5 = x–6 →

(5)(3x/5) = (5)(x–6) → 3x = 5(x–6) → 3x = 5x – 30.

The last step is to do the basic algebra to find x:

3x = 5x – 30

–5x –5x

[5x will cancel when you subtract both sides by 5x]

-2x = -30

(-1) (-1)

[2 negatives make a positive when -1 is multiplied by an expression with a negative coefficient]

2x = 30

÷2 ÷2

[divide both sides by 2 to simplify 2x to x]

x = 15

_____

You can also check that both sides are proportional because

5 → x

x = 15

5 → 15

3 → x – 6

x = 15

3 → 9

5 × <u>3</u> = 15

3 × <u>3</u> = 9

7 0
3 years ago
A is directly proportional to b
KonstantinChe [14]

Answer:

a = kb

Step-by-step explanation:

"a is directly proportional to b" is expressed as a = kb, where k is the "constant of proportionality."

8 0
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kicyunya [14]
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kicyunya [14]

Answer:

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Step-by-step explanation:

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6 0
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The sum of two numbers is 55. The larger number is 19 more than the smaller number. What are the numbers?
n200080 [17]

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Step-by-step explanation:

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