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Ad libitum [116K]
3 years ago
15

Three-tenths of the total volume, v, of water in a bucket spills. Which statement explains why 3/10x and 0.3x can each find the

volume of the water that spilled? The fraction 310 is equivalent to the decimal 0.03. Therefore, 310x can be rewritten as 0.03x. The expressions are not equivalent. Multiplying by 3/10 is the same as multiplying by 30%. Multiplying by 3 is the same as multiplying by 30%.
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

Answer:

Answer: Multiplying by 3/10 is the same as multiplyinjg by 30%

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Zack has been planting young trees in his garden. The maple tree that is 42 inches tall is growing 1 inch per month, whereas the
kolezko [41]

In 16 months, two trees will be of same height

The trees will be of 58 inches tall

<em><u>Solution:</u></em>

Let "x" be the number of months

<em><u>The maple tree that is 42 inches tall is growing 1 inch per month</u></em>

Thus, equation for maple tree is given as:

Maple tree : 42 + 1 inch (number of months)

Maple tree : 42 + x ------- eqn 1

<em><u>The oak tree that is 10 inches tall is growing 3 inches per month</u></em>

Thus, equation for oak tree is given as:

Oak tree : 10 + 3 inch (number of months)

Oak tree : 10 + 3x -------- eqn 1

<em><u>For two two trees to be equal in height, equate eqn 1 and eqn 2</u></em>

42 + x = 10 + 3x\\\\3x - x = 42 - 10\\\\2x = 32\\\\x = 16

Thus, in 16 months, two trees will be of same height

<em><u>What will that height be?</u></em>

Substitute x = 16 in any one eqn

10+3x = 10 + 3(16) = 10+48 = 58

Thus the trees will be of 58 inches tall

3 0
4 years ago
There are 27 red or blue marbles in a bag. The number of red marbles is five less than three times the number of blue marbles. H
sveticcg [70]

The number of red marbles in the bag is 19 and the number of blue marbles is 8.

<u>Explanation:</u>

Let R be the number of red marbles

Let B be the number of blue marbles

According to the question,

R + B = 27 (Total number of marbles is 27 )                 -1

R = 3B - 5 (Number of red marbles is 5 less than 3 times the number of blue marbles )

Substitute the right half of the second equation for R in the first equation

3B - 5 + B = 27

Add 5 to each side and combine the Bs

4B = 32

Divide both sides by 4

B = 8

Use this value of B in the first equation

R + 8 = 27

R = 19

Therefore, number of red marbles in the bag is 19 and the number of blue marbles is 8.

7 0
3 years ago
What is 299,864 times 5?
irakobra [83]

Answer:

1,498,420

Step-by-step explanation:

6 0
3 years ago
If heat is released from water, what phase change occurs? A) gas to solid B) solid to gas C) liquid to solid D) solid to liquid
nikitadnepr [17]
D. maybe sorry not that good at science
3 0
4 years ago
Read 2 more answers
Homer is giving some cookies to each of
Stells [14]

Answer:

7 cookies

Step-by-step explanation:

We have 3 brothers

First , Second, Third

Let the total number cookies be represented by A

1 cookie = 1

Working backwards, we start from the third brother

If we work backwards

It means he gave everything away

We start from the youngest

He was given 1/2 of what was left and 1/2 a cookie

This means,

1/2 + 1/2 = 1

The second brother

He got half of what is left and 1/2 a cookies

Half of what is left from brother

= What the youngest brother got + 1/2 + 1/2 a cookie

= 1 + 1/2 + 1/2

= 1.5 + 1/2

= 2 cookies

For the first brother

He got 1/2 of the cookies + 1/2 cookie

= 1.5 × 2 + 1/2 + 1/2 cookies

= 3 1/2 + 1/2

= 4 cookies

The first brother got 4 cookies

The second brother got 2 cookies

The third broth got 1 cookies

3 0
3 years ago
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