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san4es73 [151]
3 years ago
15

Running at an average rate of 4 meters per second, a sprinter ran to the end of a track. The sprinter then jogged back to the st

arting point at an average rate of 2 meters per second. The total time for the sprint and the jog back was 2 minutes 6 seconds. Find the length of the track.
Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0
<h2>Length of track is 168 meter</h2>

Step-by-step explanation:

Let l be the length of track.

Running speed = 4 m/s

Jogging speed = 2 m/s

Total time taken = 2 minutes 6 seconds. = 126 seconds

That is

            \frac{l}{4}+\frac{l}{2}=126\\\\0.75l=126\\\\l=168m

Length of track is 168 meter

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xxMikexx [17]
You need to find the amount subject to withholding, subtracting from the weekly salary the amount for one withholding allowance for weekly salaries, which is 77.90$:

830 - 77.90 = 752.1 $.

Then, look in the Fed Tax tables (
http://www.opers.ok.gov/Websites/opers/images/pdfs/2016-Fed-Tax-Tables.pdf ) for a married person with a weekly payroll.

You previously found an amount of  752.1 which is greater than 521 but less than 1613$: therefore the income tax to withhold is 35.70$ + 15% of excess over $521.

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The total amount of income tax that will be withheld is 70.37$
4 0
3 years ago
5a(-3b)(-2a^2b^3)<br> what is the answer to this question?
zhannawk [14.2K]

Answer:

(3•5•2a3b4)

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 -15ab • (0 -  (2a2 • b3))

Step  2  :

Multiplying exponential expressions :

2.1    a1 multiplied by a2 = a(1 + 2) = a3

Multiplying exponential expressions :

2.2    b1 multiplied by b3 = b(1 + 3) = b4

3 0
4 years ago
Please answer this question for 30 points and brainliest!
Alexxandr [17]

Answer:

a. y=8-x

Step-by-step explanation:


5 0
3 years ago
The ratio 5:1/7 has a unit rate of 35 true or false
saveliy_v [14]

Answer:

True

Step-by-step explanation:

To find the unit rate, what we do is to divide the preceding value in the ratio by the succeeding value in the ratio.

Thus, we have;

5 divided by 1/7

= 5 * 7/1

= 35

This is the unit rate of the given ratio

3 0
4 years ago
Please help WILL MARK AS BRAINEST IF COREECT
iogann1982 [59]
D(-2,5)
C(-2,-3)
E(8,5)
F(8,-3)
A(2,5)
B(8,1)
C(-2,-3)

AD= 4 units
DC= 8 units
AE = 6 units
EB = 4 units
BF = 4 units
CF = 10 units

ADC = 16 sq units
AEB = 12 sq units
BFC = 20 sq units

90 -16 -12 -20 = 42 sq units

Hope this is the right answer ☺
4 0
3 years ago
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