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3 years ago

An athlete runs 8 miles in 50 minutes on a treadmill. At this rate, how long will it take the athlete to run 9 miles? *

Mathematics

2 answers:

I am Lyosha [343]3 years ago

8 0

Answer:

50 minutes = 50/60 hours = 0.8333333333 hours

8 miles / 0.8333333333 hours = 9.60 miles per hour

9 miles / 9.60 miles per hour =

0.9375 hours = 56.25 minutes

Step-by-step explanation:

wel3 years ago

4 0

Answer:

It would take 56 minutes for the athlete to run 9 miles.

Step-by-step explanation:

If an athlete runs 8 miles in 50 minutes, he is doing that in 5/6 or 0.83 of an hour. Therefore, using crossed multiplication, we can know the speed in miles per hour in which he was running:

0.83 = 8

1 = X

8 x 1 / 0.83 = 9.63

As he ran at 9.63 miles/h, we can use another crossed multiplication to know how much time would take him to run 9 miles:

9.63 = 1

9 = X

9 x 1 / 9.63 = 0.934/1 of an hour

0.934 x 60 = 56

It would take 56 minutes for the athlete to run 9 miles.

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Louise, Tammy, Delores, and Sheryl score 78 points total in the tennis matches they play. They score a consecutive number of poi

irga5000 [103]

$\huge\boxed{18\ \text{points}}$

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with $x$ , $x+1$ , $x+2$ , and $x+3$ respectively since each one is 1 point more than the last.

Add all of these values up and set it all equal to $78$ .

$x+x+1+x+2+x+3=78$

Now, simplify.

$4x+6=78$

Subtract $6$ on both sides.

$\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}$

Divide both sides by $4$ .

$\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}$

Since Louise's score is $x$ , the answer is $18$ .

<h3>Double-checking</h3>

To verify our answer, add the point totals $18$ , $19$ , $20$ , and $21$ .

This equals $78$ , so we can be sure the answer is correct.

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2 years ago

How does the graph of y=-3√2x-4 compare to the graph of y=-3√x-4?

kifflom [539]

Assuming the graph is y=-3(√2x)-4 and y=-3√(x-4) the transformation would be:

The graph is compressed horizontally by a factor of 2
x=1/2x'
y=-3(√2x)-4
y=-3(√x')-4 

moved left 4
x=x'-4
y=-3(√x)-4
y=-3(√x'-4)-4

moved down 4
y=y'-4
y=-3(√x-4)-4
y'-4=-3(√x'-4)-4
y'=-3(√x'-4)-4 +4
y'=-3(√x'-4)

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3 years ago

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3 years ago

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Can 12,18,30 be a right triangle

ASHA 777 [7]

Answer:

Step-by-step explanation:

A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple. The simplest Pythagorean triple is the set “3, 4, 5.” These numbers are the lengths of the sides of a “3-4-5” Pythagorean right triangle. The list below contains all of the Pythagorean triples in which no number is greater than 50.

3, 4, 5

5, 12, 13 6, 8, 10

7, 24, 25 8, 15, 17 9, 12, 15 9, 40, 41 10, 24, 26 12, 16, 20 12, 35, 37

14, 48, 50 15, 20, 25 15, 36, 39 16, 30, 34 18, 24, 30 20, 21, 29 21, 28, 35 24, 32, 40 27, 36, 45 30, 40, 50

Example Problems

Find the length of the missing side.

13 25 x7

12 x

From the list above, the missing From the list above, the missing side is “5” side is “24”

Show why the set “6,8,10” is a Pythagorean triple.

c2 = a2 + b2 102 =82 +62 100 = 64 + 36 100 = 100

Since the Pythagorean equation is satisfied, the set “6,8,10” is a Pythagorean triple.

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3 years ago

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Bubbles bakery has 24 oatmeal cookies, 36 vanilla bean cookies, 42 chocolate chip cookies. What is the greatest common factor bu

STatiana [176]

Answer:6

Step-by-step explanation:

We have three groups of cookies as follows:

24 oatmeal

36 vanilla bean

42 chocolate chip

If we breack down into factors we get

24 2 24 = 2³ * 3 36 2 36 = 2²*3³ 42 2 42 = 2*3*7

12 2 18 2 21 3

6 2 9 3 7 7

3 3 3 3 1

1 1

Fom where we can get that biggest common factor is 6

24 ÷ 6 = 4

36 ÷ 6 = 6

42 ÷ 6 = 7

Then Bakery will have 4 groups of oatmeal cookies, 6 of vanilla bean, and 7 chocolate chip

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