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enot [183]
3 years ago
8

It took Gustavo 5 hours to drive to a job interview. On the way home, he was able to increase his average speed by 20mph and mak

e the return drive in only 3 hours. Find his average speed on the return drive.
Mathematics
1 answer:
Alik [6]3 years ago
8 0
<h2>Answer:</h2>

His average speed on the return drive is:

                             50 mph

<h2>Step-by-step explanation:</h2>

Let d be the distance from home to the place of his job interview.

Let s be the average speed when he drive to his job interview.

Now, it is given that:

It took Gustavo 5 hours to drive to a job interview.

We know that distance is the product of speed and time.

i.e.

Distance=Speed\times Time

Hence, we have:

d=5s--------(1)

Also,

On the way home, he was able to increase his average speed by 20 mph and make the return drive in only 3 hours.

His average speed back home is: s+20

and his time is: 3 hours

Hence, we have:

d=3(s+20)\\\\i.e.\\\\d=3s+60----------(2)

From equation (1) and equation (2) we have:

5s=3s+60\\\\i.e.\\\\5s-3s=60\\\\2s=60\\\\s=\dfrac{60}{2}\\\\s=30\ mph

Hence, his average speed on the return drive is: s+20

                                                                              = 30+20

                                                                             = 50 mph

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Solve this equation<br> 3x^2 − 16x = x^2 − 30
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3x^2-16x=x^2-30

-x^2        -x^2

2x^2-16x=-30

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2x^2-16x+30=0

2x-6=0 or x-5=0

x=3    or x=5

A. 3,5

If you need an explanation, I can provide one. Hope it helped! If it didn't tell me what went wrong or what confused you.

3 0
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If y varies directly as x and y=35 when x=7, find y when x=11
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3 years ago
-2/3 minus (-4/6)= <br>​
lina2011 [118]

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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Jack is at the zoo looking up at a monkey
sasho [114]

The height of the pole at which the monkey is at the top is 10.2 feet.

<h3>Trigonometric ratio</h3>

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Let h represent the height of the pole, hence using trigonometric ratio:

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The height of the pole at which the monkey is at the top is 10.2 feet.

Find out more on Trigonometric ratio at: brainly.com/question/4326804

4 0
2 years ago
NEED HELP ASAP
Alisiya [41]

Answer:

Divide, 16.

Step-by-step explanation:

So, lets look at the unit scale.

For every 16 ounces, there are 1 pound.

To convert ounces to pounds, the number must be divide by 16, since there are 16 ounces in one pound.

The first fill in box answer is division.

Next we must ifnd the actual amount of pounds.

We know that the box weights 96 ounces.

Now lets divide this by ounces per pound, and see what we get:

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=

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This is the answer to the second fill in question.

Hope this helps!

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