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3 years ago

Mike is 4 3/4 feet tall. His brother is 3 7/12 feet tall. How much taller is mike than his brother.

Mathematics

1 answer:

vlabodo [156]3 years ago

5 0

he is 1 and a half feet taller

hope this helps! :

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What is the slope intercept form

Gwar [14]

y=mx+b

m is the slope

b is the y-intercept

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3 years ago

6. A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and fall

inn [45]

Answer:

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term and $q$ is the common ratio.

A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.

This means that:

$q = 0.7, a_1 = 25*0.7 = 17.5$

Then

$a_n = a_1q^{n-1}$

$a_n = 17.5(0.7)^{n-1}$

First 5 terms:

$a_1 = 17.5$

$a_2 = 17.5(0.7)^{2-1} = 12.25$

$a_3 = 17.5(0.7)^{3-1} = 8.58$

$a_4 = 17.5(0.7)^{4-1} = 6$

$a_5 = 17.5(0.7)^{5-1} = 4.2$

Find the total distance the ball has travelled after it hits the ground the 5th time.

$T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53$

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

8 0

3 years ago

Sophia did push-ups every day for 7 days. Each day after the first day, she did 5 more push-ups than the day before. In total sh

Dafna1 [17]

Answer:

Push- ups on last day = 40

Step-by-step explanation:

According to given conditions:

Let push-ups on:

1st day = x

2nd day = x + 5

3rd day = x + 10

4th day = x + 15

5th day = x + 20

6th day = x + 25

7th day = x + 30

Now total push ups = adding all

x + x + 5 + x + 10 + x + 15 + x + 20 + x+ 25 + 30 + x = 175

By adding same terms:

7x + 105 = 175

Subtracting 105 from both sides

7x + 105 - 105 = 175 - 105

7x = 70

Dividing both sides by 7 we get:

x = 70/7

x = 10

Now calculating push-ups on days:

1st day = x = 10

2nd day = x + 5 = 10 + 5 = 15

3rd day = x + 10 = 10 + 10 = 20

4th day = x + 15 = 10 + 15 = 25

5th day = x + 20 = 10 + 20 = 30

6th day = x + 25 = 10 + 25 = 35

7th day = x + 30 = 10 + 30 = 40

So number of push-ups on 7th (last) day is 40.

I hope it will help you!

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3 years ago

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Answer:

Step-by-step explanation:

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Hoochie [10]

Answer:

Yeah it is correct

Step-by-step explanation:

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