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zubka84 [21]
2 years ago
10

Blanca jogged 8 days last month. She jogged 1.25 miles on each of these days and burned 140 calories per mile while jogging.

Mathematics
1 answer:
Marat540 [252]2 years ago
6 0
Answer: 1,400 calories



Bianca jogged 1.25 miles per day for 8 days. so 1.25*8 would equal 10 miles.

Since she jogged 10 miles and burned 140 calories per mile, if we multiply 10*140, we would get 1,400.

So last month, she lost 1,400 calories.
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sergejj [24]
Take the whole and multiply it by the percentage

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660 * .4 = 264
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A plane flies 640 mi with the wind in the same time that it takes to fly 440 mi against the wind. If this plane flies at the rat
777dan777 [17]

Answer:

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3 years ago
2m = 1 + m what do I need to do to solve
devlian [24]

So all you need to do is subtract m from both sides.

Then you have your answer

m = 1

I hope this helps

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4 0
2 years ago
Read 2 more answers
4. a) A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If t
Klio2033 [76]

First part of question:

Find the general term that represents the situation in terms of k.

The general term for geometric series is:

a_{n}=a_{1}r^{n-1}

a_{1} = the first term of the series

r = the geometric ratio

a_{1} would represent the height at which the ball is first dropped. Therefore:

a_{1} = k

We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:

r=\frac{3}{4}

Our general term would be:

a_{n}=a_{1}r^{n-1}

a_{n}=k(\frac{3}{4}) ^{n-1}

Second part of question:

If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.

k represents the initial height:

k = 235\ ft

n represents the number of times the ball bounces:

n = 6

Plugging this back into our general term of the geometric series:

a_{n}=k(\frac{3}{4}) ^{n-1}

a_{n}=235(\frac{3}{4}) ^{6-1}

a_{n}=235(\frac{3}{4}) ^{5}

a_{n}=55.8\ ft

a_{n} represents the highest height of the ball after 6 bounces.

Third part of question:

If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time. ​

This would be easier to solve if we have a general term for the <em>sum </em>of a geometric series, which is:

S_{n}=\frac{a_{1}(1-r^{n})}{1-r}

We already know these variables:

a_{1}= k = 235\ ft

r=\frac{3}{4}

n = 12

Therefore:

S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{1-\frac{3}{4} }

S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{\frac{1}{4} }

S_{n}=(4)(235)(1-\frac{3}{4} ^{12})

S_{n}=910.22\ ft

8 0
2 years ago
13.27 = t - 24.45
Alika [10]

Answer:

=

3

7

.

7

2

Step-by-step explanation:

Add

2

4

.

4

5

24.45

24.45

to both sides of the equation

1

3

.

2

7

=

−

2

4

.

4

5

1

3

.

2

7

+

2

4

.

4

5

=

−

2

4

.

4

5

+

2

4

.

4

5

4 0
2 years ago
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