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Tatiana [17]
3 years ago
7

a jogger runs 4 miles per hour faster downhill than uphill. if the jogger can run 5 miles downhill in the same time that it take

s to run 3 miles uphill, find the rate in each direction
Mathematics
2 answers:
Serga [27]3 years ago
8 0

Answer: the rate uphill is 6 mph.

The rate downhill is 10 mph

Step-by-step explanation:

Let x represent the rate at which the jogger ran uphill.

The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph

Time = distance/speed

if the jogger can runs 5 miles downhill, then the time taken to run downhill is

5/(x + 4)

At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is

3/x

Since the time is the same, it means that

5/(x + 4) = 3/x

Cross multiplying, it becomes

5 × x = 3(x + 4)

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 12/2

x = 6

The rate downhill is 6 + 4 = 10 mph

Crazy boy [7]3 years ago
7 0

Answer:

Downhill: 10 miles/hour

Uphill: 6 miles/hour

Step-by-step explanation:

(5/t) - (3/t) = 4

2/t = 4

t = ½

Downhill: 5/½ = 10 miles/hour

Uphill: 3/½ = 6 miles/hour

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What is 0.4 divided by 5.12 in long division
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Start by mult. both 0.4 and 5.12 by 100.  What is 40 divided by 512?

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8 0
3 years ago
Is the binomial a factor of the polynomial function?
olchik [2.2K]

Answer:

YES

NO

NO

Step-by-step explanation:

The given polynomial is: $ f(x) =  x^3 + 4x^2 - 25x - 100 $

(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.

To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.

∴ f(5) = 5³ + 4(5)² - 25(5) - 100

        = 125 + 100 - 125 - 100

        = 225 - 225

        = 0

We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.

Now, to check (x + 2) is a factor.

i.e., to check x = - 2 satisfies f(x) or not.

f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100

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Therefore, (x  + 2) is not a factor of f(x).

To check (x - 4) is a factor.

∴ f(4) = 4³ + 4(4)² - 25(4) - 100

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Therefore, (x - 4) is not a factor of f(x).

7 0
3 years ago
The speed of light is estimated at 186,000 miles per second rounded to the nearest thousand miles per second.
Sedbober [7]

It was rounding to the nearest THOUSAND.


We are looking at the thousands place, keep that in mind.


Remember: everything 5 and above is rounded up, everything below 5 is rounded down.


186,789 is above 500, it is rounded to 187,000


186,899 is above 500, it is rounded to 187,000


185,990 is above 500, it is rounded to 186,000


and 185,190 is below 500, it is rounded to 185,000


Only one matches the criteria of the question:


185,990 is above 500, it is rounded to 186,000


therefore the answer is 185,990 miles per second



Have a fantastic day!


Read more on Brainly.com - brainly.com/question/10945335#readmore

8 0
3 years ago
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