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Fittoniya [83]
4 years ago
5

Write the proportion and solve:

Mathematics
2 answers:
masya89 [10]4 years ago
8 0

Answer:

810 minutes

13 hours 30 minutes

Step-by-step explanation:

Let the unknown value be x

5\:miles = 45 \: minutes\\90\:miles = x\:minutes

Sole the proportion for x ; Cross Multiply

5\times \:x =90 \times 45\\\\5x\: = 4050

Divide both sides of the equation by 5

\frac{5x}{5} = \frac{4050}{5} \\\\x = 810 \:minutes =\\13 \:hours \:30\:minutes

Crazy boy [7]4 years ago
7 0

Answer:

810 minutes

Step-by-step explanation:

90÷5=18

18×45=810

It will take him 810 mins.

I hope this helped!!

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arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

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f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

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This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!


8 0
3 years ago
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