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Eddi Din [679]
3 years ago
13

Athletes use jump rope as a way to warm up before exercise. If an athlete jumps 350 times in 8 minutes, what is their average ra

te of jumps per minute?
Mathematics
1 answer:
OLga [1]3 years ago
5 0

Answer:

about 44 jumps per minute

Step-by-step explanation:

350/8=43.75

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Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b
Ede4ka [16]

Answer:

  • <u>After 1.7 hours</u>

Explanation:

<u>1. Calculate the average speed of train B</u>

  • 60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

<u>2. Build a table</u>

When the two trains meet:

Train     Average speed     Distance       time (distance/average speed)

                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

<u>3. Write the equation</u>

The time, when the two trains meet, is the same for both trains:

                  \dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles

<u>4. Calculate the time:</u>

  • x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

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3 years ago
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Answer:

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Step-by-step explanation:

8 0
3 years ago
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Which of the following is the solution to the differentiable equation dy/dx=4x/y, where Y(2)=-2
aliya0001 [1]

First we'll substitute \frac{dy}{dx} with y'

y'=\frac{4x}{y}

Then we can separate this.

yy'=4x

Then we'll solve this.

yy'=4x: \frac{y^2}{2}=2x^2+c_1

\frac{y^2}{2}=2x^2-6

y=2\sqrt{x^2-3},y=-2\sqrt{x^2-3}

Then we'll plug in to find the extraneous solutions (if any)

y=-2\sqrt{x^2-3}

7 0
3 years ago
Least to greatest 1.3, -3/2, -1.2, 1 1/2
lbvjy [14]
1. -3/2
2. -1/2
3. 1.3
4. 1 1/2
5 0
3 years ago
(143(5) + 67)5-----------Anybody???:)
Vikentia [17]
<span>(143(5) + 67)5
Multiply 143 by 5
(715 + 67)5
Add the numbers inside the parenthesis(715 and 67).
(782)5
Multiply 782 by 5.
Final Answer: 3,910</span>
6 0
3 years ago
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