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muminat
3 years ago
8

peter has 6/7 of a stack of baseball cards left. If he is planning on splitting what he has left into stacks that are each 3/28

of a pack of cards, how man stacks can he make?
Mathematics
2 answers:
SSSSS [86.1K]3 years ago
5 0

Answer:

8

Step-by-step explanation:

DIA [1.3K]3 years ago
3 0
<h3>Answer:  8</h3>

=======================================================

Work Shown:

Let's say there are 28 cards in a full stack.

6/7 = 24/28 after multiplying top and bottom by 4

Since he has 24/28 of a stack left, this means he has 24 cards left.

He wants to arrange the remaining cards into piles so that each pile consists of 3/28 of a full stack. In other words, he wants each pile to have 3 cards.

So this must mean he will get 24/3 = 8 piles

(8 piles)*(3 cards per pile) = 8*3 = 24 cards total

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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
-2x-2y=-8<br> -4x-8y=-20
Citrus2011 [14]

Answer:

-2x-2y=-8

-4x-8y=-20

From the 1st eqn

Dividing through by 2

you have

-x-y=-4

Multiply through by -(minus)

x+y=4

x=4-y

Substitute into eqn 2

-4x-8y=-20

-4(4-y)-8y=-20

-16 + 4y - 8y = -20

-4y = -20 +16

-4y = -4

y= 1

Substitute into any of the other eqn's to get x

x= 4-y

x= 4-1

x=3

8 0
3 years ago
Approximate the value of √22 to the nearest hundreth
Alona [7]
√ 22 = to the nearest hundredth is 4.69 
5 0
3 years ago
Read 2 more answers
Rewrite 3/8 with the denominator of 24
Ksivusya [100]

Answer:

9/24

Step-by-step explanation:

3/8

24 ÷ 8 = 3

3 x 3 = 9

9/24

Check:

9/24 = 0.375

3/8 = 0.375

7 0
3 years ago
Read 2 more answers
Kim made soup which contains 75 total ounces of beans. the soup has two kinds of beans, black and red. there are 4 times as many
Oksanka [162]
The answer would be 15 because 15 * 4 is 60 so the remaining amount would the amount of red beans there are in the soup
5 0
3 years ago
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