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blsea [12.9K]
3 years ago
13

One number is five less than a second number. Three times the first is 14 more than 4 times the second. Find the numbers.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Answer:

Second number = -29

First number  = -34

Step-by-step explanation:

Second number = x

First number  = x - 5

3*(x-5) = 4x + 14

3x - 3*5 = 4x + 14

3x - 15  = 4x + 14

      -15 =  4x +14 - 3x

      -15 = x + 14

-14 - 15 = x

x = -29

Second number = -29

First number  = -29 - 5 = -34

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Caroline, Colin & Sarah share some money.
Alex787 [66]

Caroline, Colin & Sarah share some money.Caroline will get \dfrac{2}{3}  when Caroline, Colin & Sarah share some money.

<h3>What is the ratio?</h3>

The ratio defined as the sharing of the two or three things or it represent that one thing or number is how many times to the other.

One part is excluded in the problem. That part is:

"Caroline gets \dfrac{1}{9} of the money."

If Caroline gets 1/9th, then remaining is:

1-\dfrac{1}{9}=\dfrac{8}{9}

Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...

8/9th in 4 parts means, each part is:

\dfrac{\dfrac{8}{9}}{4}=\dfrac{2}{9}

We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:

3\times \dfrac{2}{9}=\dfrac{6}{9}=\dfrac{2}{3}

Colin gets  \dfrac{2}{3} money when three of them share money.

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8 0
2 years ago
Find the value of ‘x’
Karolina [17]

Answer:

x=30

Step-by-step explanation:

the midpoint is half the top + the bottom so;

1/2 (27 + 33) = x

1/2 (60) = x

30 = x

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5 0
3 years ago
Use the associative property to identify which expression is equal to (54)(12)(2x).
kirill115 [55]
Answer is (2x)(12)(54)
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3 years ago
Solve.<br> -|-10|+ (-3) + |5|=<br> A. -18<br> B-8<br> C. 8<br> D. 12<br> E18
hram777 [196]

Answer:

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2 years ago
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