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prohojiy [21]
3 years ago
7

A runner can jog at a rate of 4 miles per hour uphill. Downhill, he can run 3 miles in the same time it takes him to run 2 miles

uphill. How long would it take to run 2 miles uphill and then 3 miles downhill?
what is the most important variable?
Mathematics
2 answers:
densk [106]3 years ago
6 0
The answer to this question is very intriguing but I would have to say it is unsolvable. have a good day

olga nikolaevna [1]3 years ago
3 0
The most important variable is 4 miles per hour up hill. Down hill he can run 3 miles in the same time it takes time to run uphill.  up hill 4 miles  1 hour  so 2 miles up hill is 1/2 hour.  Down hill he can run 3 miles in the same time it takes time to run up hill..  2 miles up hill - 1/2 hour.  So 1/2 hr up and 1/2 hr down = 1 hour. 
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Manny bought a brand new car for $29,750. The car depreciates in value by 12% each year. Find the value of the car after 6 years
Arte-miy333 [17]

Answer: $13,846.02

Step-by-step explanation:

The car cost $29,750 when it was first bought.

It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.

To find the value of the car in the 6th year, you can use the compound interest formula:

= Value of car * ( 1 - rate) ^ no. of years

= 29,750 * ( 1 - 12%)⁶

= ‭13,816.021581824‬

= $13,846.02

6 0
2 years ago
Solve for w, where w is a real number.
Ber [7]

Answer:

w= 9

Step-by-step explanation:

\sqrt{ - 4w + 61}  = w - 4

Square both sides:

-4w +61= (w -4)²

\boxed{(a - b)^{2}  = a^2 -2ab + b^2 }

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

w² -4w -45= 0

Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

6 0
2 years ago
Read 2 more answers
Help pls asap I really need help this is confusing
KATRIN_1 [288]
The page is black?? Sorry couldn’t help
6 0
3 years ago
A security light is being installed outside a loading dock. The light must be placed at a 65° angle so that it illuminates a par
jeka57 [31]

Answer: False

Step-by-step explanation: I believe it would be false. Using the law of sines with the side lengths of 113.29 feet and 125 feet, and the corresponding angels of 25 and 65 degrees, the angle of the light is about 58.29. I believe this would make it false as the angle is incorrect.

3 0
3 years ago
3 times what divided by 4 equals 24
MissTica
3*x/4=24
3*x= 24*4
3x=96
3x/3=96/3
x=32
6 0
3 years ago
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