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erik [133]
2 years ago
5

PLEASEHELP!!!!!!

Mathematics
2 answers:
pantera1 [17]2 years ago
5 0

Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

v_2 = v_1 + 4.

The first runner's speed is 4/5 of the speed of the second runner, hence:

v_1 = \frac{4}{5}v_2

v_1 = \frac{4}{5}(v_1 + 4)

\frac{1}{5}v_1 = \frac{16}{5}

v_1 = 16

v_2 = 16 + 4 = 20

Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at brainly.com/question/24863377

anastassius [24]2 years ago
4 0

Answer:

Using proportions, it is found that the speed of the runners are of 16 mphand of 20 mph.What is a proportion?A proportion is a fraction of a total amount.After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:.The first runner's speed is 4/5 of the speed of the second runner, hence:Hence, the speed of the runners are of 16 mph and of 20 mph.

Step-by-step explanation:

You might be interested in
DBE is obtained by enlarging ABC. If the area of ABC is 3 square units, what is the area of DBE?
Amanda [17]

Answer:

The area of DBE = 27 square units

Step-by-step explanation:

Area of ABC = 3 square units

In the figure, we can see that ABC was enlarged so that BDE is formed where side BD = 6 and AB was = 2

Hence ABC was enlarged 3 times its size.

We know by formula that:

Area of ABC = 1/2(base x perpendicular)

3 = 1/2(2 x p)

=> p = 3

As ABC was enlarged 3 times its size, the perpendicular of BDE must be 3*p

= 3*3 = 9

AREA OF DBE = 1/2(base*perp)

= 1/2(6*9)

= 27 square units

8 0
3 years ago
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer
valentina_108 [34]

Answer:

The Integer is -17

Step-by-step explanation:

This is because you must subtract the cost of the shoes from her account

28 - 45 is equal to negative 17

4 0
3 years ago
Find two numbers that multiply to make the 1st number and add to make the 2nd number. Multiply -42; Add 1 _____, and _____
dedylja [7]

Answer:

  -6 and 7

Step-by-step explanation:

It is useful to look at the factor pairs of -42.

  -42 = -1(42) = -2(21) = -3(14) = -6(7)

Sums of these factor pairs are 41, 19, 11, 1.

You want the last pair of factors: -6 and 7.

5 0
2 years ago
Find the value of x 3x+1=x+9​
Ann [662]

Answer:

X = 4

Step-by-step explanation:

you just gotta subtract 1 from both sides in order to find what x equals. and from there you subtract x from both sides, any letter has an invisible 1 in front, so then you divide 2 from both sides. and you get x = 4

5 0
2 years ago
The sum of a students three scores is 217. If the first is 30 points more than the the second, and the sum of the first two is 1
nekit [7.7K]

Answer:

First score is 90

Step-by-step explanation:

Let A represent the first score

Let B represent the second score

Let C represent the third score

A+B+C=217 equation 1

If the first score A is 30 points more than the second,B

A=B-30  equation 2

Lastly,sum of A&B is 16 more than 2C

A+B=2C+16 equation 3

From equation 1

A+B=217-C equation 4

substitute for A+B in equation 3

217-C=2C+16

217-16=2C+C

201=3C

C=67

substituting C in equation 4

A+B=217-67

A+B=150

if the first score more than the first,then the first 90 while second 60 since A+B=150

3 0
2 years ago
Read 2 more answers
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