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zmey [24]
3 years ago
11

A runner runs 4 laps on the track in 8 min. If he keeps the same pace, how long will it take him to run 12.5 laps?

Mathematics
1 answer:
stiv31 [10]3 years ago
5 0

Answer:

25 minutes

Step-by-step explanation:

he runs 4 laps in 8 minutes

so he runs 1 lap is 8/4 = 2 minutes

Therefore he rub 12.5 laps in 2 * 12.5 = 25 minutes

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On picture day, 3 times as many girls wore dresses rather than pants. If there are 12 girls in the class, how many wore a dress?
katrin2010 [14]

Answer:

36

Step-by-step explanation:

3 * 12 = 36

if there are 12 girls and 3 times more wore dress then 3 times 12 is 36.

3 0
2 years ago
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jada is using a computer’s random number generator to produce 6 random whole numbers between 1 and 100 so she can use a random s
nikdorinn [45]

Step-by-step explanation:

The random numbers are selected randomly. Just because they happen to be 6 numbers in a row does not mean that they were not. If she is confident in the random number generator, which can be assumed, then the random numbers were still randomly selected and can be used. To regenerate would be a mistake because Jada is then picking and choosing which random numbers are chosen, defeating the purpose of a random number generator

7 0
3 years ago
Please solve them I really need help
Ugo [173]

Answer:

Answers are below

Step-by-step explanation:

12) No because the scale factor is not the same between the two rectangles

13) Yes. TUV is congruent to XYZ. The scale factor is 3/4.

14) Yes. I used SAS to see whether or not the triangles were similar. PQR is congruent to UVW.

15) Yes. I used 14) Yes. I used SAS to see whether or not the triangles were similar. DGH is congruent to FEH.

8 0
3 years ago
The ratio of money in Terry's bank account to Faye's bank account was 3:5.
inn [45]

Answer:

<em>Terry had £780 initially and Faye had £1300</em>

Step-by-step explanation:

<u>System of Equations</u>

We'll call the following variables:

x = Terry's balance in his bank account

y = Faye's balance in her bank account

The initial relation between them is:

\frac{x}{y}=\frac{3}{5}

Cross-multiplying:

5x = 3y        [1]

If Terry put £220 in his account he had x+220 and if Faye withdrew £300 from her account, she had y-300. Both quantities are equal, thus

x + 220 = y - 300

Subtracting 220:

x = y - 520         [2]

Substituting in [1]

5(y - 520) = 3y

Multiplying:

5y - 2600 = 3y

Adding 2600 and subtracting 3y:

2y = 2600

Dividing by 2:

y = 1300

From [2]:

x = 1300 - 520

x = 780

Terry had £780 initially and Faye had £1300

7 0
3 years ago
write an equation of the line passing through the pair of points or state that the slope is undefined. (-3,5) and (3,-7)
AveGali [126]

Step-by-step explanation:

equation of a line = y-y1=m(x-x1)

but we have to find the slope

so slope=<u>y</u><u>2</u><u>-</u><u>y</u><u>1</u><u> </u><u> </u><u> </u><u> </u> = -<u>7-5</u>

x2-x1. 3--3

<u>-12</u>

6

<u>-2</u>

1. =-2

y-5=-2(x-3)

y-5=-2x+6

y=-2x+6-5

y=2x+1

7 0
3 years ago
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