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Marat540 [252]
3 years ago
12

Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a

group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim?
Mathematics
1 answer:
n200080 [17]3 years ago
5 0

Complete question :

Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim? Prax ran 6 miles in 57 minutes. Jose ran 5 miles in 45.5 minutes. Sandy ran 7 miles in 66.5 minutes. Zynep ran 3 miles in 27 minutes

Answer:

Prax and sandy

Step-by-step explanation:

Given that:

Jim's pace = 4 miles in 38 minutes

Jim's rate = Distance covered / time.

Rate = 4 / 38 = 0.1052631 miles /min

Prax ran 6 miles in 57 minutes:

Prax rate : 6miles / 57 mins = 0.1052631

Jose ran 5 miles in 45.5 minutes:

Jose's rate = 5 miles / 45.5 = 0.1098901 miles /

minute

Sandy ran 7 miles in 66.5 minutes:

Sandy's rate = 7 / 66.5 = 0.1052631 miles / minutes

Zynep ran 3 miles in 27 minutes:

Zynep's rate : 3 / 27 = 0.1111111 miles / minutes

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ycow [4]

Answer:

5/2

Step-by-step explanation:

When you are finding the slope of a parallel line, the other line always has the same slope as the first line but different y intercept.

3 0
3 years ago
Conan O'Brien hosts the Conan show and Andy Richter, his sidekick, writes for it. Conan needs 4 hours to rehearse and host a goo
andrew-mc [135]

Answer:

C

Step-by-step explanation:

1. Conan needs 4 hours to rehearse and host a good show.  Andy needs 10 hours to do the same. So, Cohan needs 6 hours less than Andy to  rehearse and host a good show. This means Cohan has an absolute advantage in the production of show hosting.

2. Conan writes one usable joke in an hour,  Andy needs 2 hours to do the same. So, Cohan has an absolute advantage in the production of joke writing.

Thus, Cohan has an absolute advantage in the production of both show hosting and joke writing.

Correct option is option C.

4 0
3 years ago
It costs $23.50 to enter an amusement park and $0.25 to ride a ride. You have $24. Write an equation that represents the number
wlad13 [49]
The equation is 24=23.50+0.25r
8 0
3 years ago
I NEED HELP RIGHT NOW <br> PLEASE HELP
MatroZZZ [7]
Q1)
11 * 260 / 4 = 715

answer
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Q2)
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6 0
3 years ago
a circle is inscribed in a square. the circumference of the circle is increading at a constant rate of 6 inches per second. As t
Burka [1]

Answer:

The rate at which Perimeter of the square is increasing is \frac{24}{\pi} \ in/secs.

Step-by-step explanation:

Given:

Circumference of the circle = 2\pi r

Rate of change of in circumference = 6 in/secs

We need to find the rate at which the perimeter of the square is increasing

Solution:

Now we know that;

\frac{d(2\pi r)}{dt} =6\\\\2\pi\frac{dr}{dt}=6\\\\\frac{dr}{dt}=\frac{6}{2\pi}\\\\\frac{dr}{dt}=\frac{3}{\pi}

Now we know that;

side of the square= diameter of the circle

side of the square = 2r

Now Perimeter of the square is given by 4 times length of the side.

P=4\times 2r =8r

Now we need to find the rate at which Perimeter is increasing so we will find the derivative of perimeter.

\frac{dP}{dt}= \frac{d(8r)}{dt}\\\\\frac{dP}{dt}= 8\times\frac{dr}{dt}

But \frac{dr}{dt} =\frac{3}{\pi}

So we get;

\frac{dP}{dt}= 8\times\frac{3}{\pi}\\\\\frac{dP}{dt}= \frac{24}{\pi}\  in/sec

Hence The rate at which Perimeter of the square is increasing is \frac{24}{\pi} \ in/secs.

5 0
4 years ago
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