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marissa [1.9K]
3 years ago
12

A sphere has a radius of 12 centimeters.

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0
The volume is 7238.23cm^{3}
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An athlete knows that when she jogs along her neighborhood​ greenway, she can complete the route in 10 minutes. It takes 20 minu
IgorLugansk [536]

Answer:

10 miles per hour.

Step-by-step explanation:

Let x represent athlete's walking speed.

We have been given that her jogging rate is 5 mph faster than her walking​ rate, so athlete's jogging speed would be x+5 miles per hour.

\text{Distance}=\text{Rate}\cdot \text{Time}

10 minutes = 1/6 hour.

20 minutes = 1/3 hour

While walking, we will get D_{\text{walking}}=x\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{3}\text{hour}

D_{\text{walking}}=\frac{x}{3}

While jogging, we will get D_{\text{jogging}}=(x+5)\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{6}\text{hour}

D_{\text{jogging}}= \frac{(x+5)}{6}

Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

\frac{x}{3}=\frac{x+5}{6}

Cross multiply:

6x=3x+15

6x-3x=15

3x=15

\frac{3x}{3}=\frac{15}{3}\\\\x=5

Therefore, athlete's walking speed is 5 miles per hour.

Jogging speed: x+5\Rightarrow 5+5=10

Therefore, athlete's jogging speed is 10 miles per hour.

3 0
3 years ago
The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:
I am Lyosha [343]

Answer:

$4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need help fast I appreciate it fam
Vanyuwa [196]

I think the answer is 12.9

5 0
2 years ago
PLEASE HELP WILL MARK YOU BRAINLIEST !!!!! D; I SWEARR
Setler79 [48]

Whattttttt!!!!!!!!!!!!!!!!!

7 0
3 years ago
Use the elimination method to solve the system of equations. Choose the correct ordered pair.
Phoenix [80]
For this problem I would change:

2x + 3y = 25 into

-2x - 3y = -25

Then, I would add up both equations by lining them up top of another.

5x + 3y = 31
+ -2x - 3y = -25

3x = 6
x = 2

Now that you have x, solve for y.

5x + 3y = 31

5(2) + 3y = 31

10 + 3y = 31

3y = 21

y = 7

So, x is 2 and y is 7.

Check to see if the values are correct by plugging them into the other equation.

2x + 3y = 25

2(2) + 3(7) = 25

4 + 21 = 25

25 = 25

Since the values are correct, the solution to this problem is A (2, 7).


7 0
3 years ago
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