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lianna [129]
2 years ago
10

Lauren is running in a marathon to raise money for her favorite charity. The total distance of the marathon is 12.5 miles. So fa

r she has run 1/10 of the marathon. How far has lauren run?
Mathematics
1 answer:
kirill [66]2 years ago
3 0
Hi! So when you are dividing or multiplying a decimal by 10, it becomes a lot easier than it looks. If you divide by 10, you move the decimal to the left one space. If you multiply the decimal by 10, you move the decimal to the right one space. Because you are diving 12.5 by 10, you move the decimal to the left one space, which then becomes 1.25. So, Lauren has run 1.25 miles. If you want to double check, you can multiply 1.25 by 10, which comes out to 12.5. Your answer is 1.25! Hope this helps!!
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A bullet is shot straight upward with an initial speed of 925 ft/s. The height of the bullet after t seconds is modeled by the f
never [62]

Answer:

462 ft/s  

Step-by-step explanation:

The height of the bullet is modeled by:

h(t) = -16t² + 925t------------------------------------ (1)

The speed of the bullet is modeled by the first derivative of equation (1)

dh/dt= -32t + 925------------------------------------ (2)

At maximum height,  dh/dt = 0

0 = -32t  + 925

32t = 925

  t  =   925/32

     =   28.91 seconds

This means that the total time to reach maximum height is 28.91 seconds

Substituting into equation (1) we can calculate the maximum  height:

h = -16 (28.91)² +925 (28.91)

  =   -13,372.61 + 26,742.675

  =  13,367.065 ‬ft

Average speed =  Total distance/ Total time

                         =    13,367.065/28.91

                         =  462.368

                         ≈ 462 ft/s  

7 0
2 years ago
In 2.5 hours, Mr. Castelli drives a distance of 125 miles. He wants to know his average driving speed in meters per minute. Comp
xeze [42]
Okay. So we'll start off by talking about miles per hour. Me. Castelli drove 125 miles in 2.5 hours. Divide 125 and 2.5 hours and you see that he drove 50 miles (81 kilometers) in one hour. 1,000 meters are in 1 meter, and 1,000 * 81 = 81,000. So he drives 81,000 meters in 1 hour. To find meters per minute, you divide 81,000 by 60, and you'll get 1,350 meters per minute. Here it is written for you to understand it better:
Miles per hour: 50
Kilometers per hour: 81
Meters per hour: 81,000
Meters per minute: 1,350
3 0
2 years ago
A recipe calls for 1 part beans to 1½ parts rice. If 1½ parts of beans are used, how much rice should be used?
marshall27 [118]

Answer:

2.

Step-by-step explanation:

The answer is 2 because if it is 1 1/2 for rice and 1 for beans then you add 1/2 to beans you should also add 1/2 to rice which would equal 2 because 2 halves make a whole.

7 0
2 years ago
A large ice chest holds 62 liters of water. A smaller chest holds 4/5 as much water
dedylja [7]

Answer:

Step-by-step explanation:

Since a large ice chest holds the water = 62 liters

And smaller chest holds the water = \frac{4}{5} of the larger ice chest

                                                         = \frac{4}{5}\times 62

                                                         = \frac{248}{5} liters

Therefore, fraction that represents the amount of ice water in the smaller ice chest will have 0 in the first box, 248 in the numerator and 5 in the denominator.

0\frac{248}{5}

6 0
2 years ago
Which table represents a direct variation function?
Anika [276]
The third table
Explanation:
6/4 = 1.5 , 9/6 = 1.5 , 12/8 = 1.5
3 0
2 years ago
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