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katrin2010 [14]
4 years ago
6

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times t

he first. What are the numbers?
Which three expressions could be used to represent the numbers?

Mathematics
2 answers:
alexdok [17]4 years ago
3 0
Let the three numbers be x, y and z respectively, then
x + y + z = 62 . . . (1)
y = x - 4 . . . (2)
z = 4x . . . (3)

The above three expressions could be used to represent the numbers.

Solving the three equations, putting (2) and (3) into (1) gives
x + x - 4 + 4x = 62
6x - 4 = 62
6x = 62 + 4 = 66
x = 66/6 = 11
x = 11.
y = 11 - 4 = 7
z = 4(11) = 44

x = 11, y = 7, z = 44.
blsea [12.9K]4 years ago
3 0
I hope this helps you

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avanturin [10]

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7 0
3 years ago
A flag is 2 feet by 3 feet. I want to enlarge the flag so that the longest side is 15 feet. How long should the shorter side of
kondor19780726 [428]

Answer:

10 feet

Step-by-step explanation:

Given

Dimension = 2 feet by 3 feet

Required

Determine the length of the short side if the longer side is scaled to 15 feet

Represent the before and after enlargement as a ratio:

Before Enlargement

Ratio = 2 ft : 3ft

After Enlargement

Ratio = x : 15 ft

Where x represents the length of the shorter side

Since they're both proportional, their ratio must be equal.

So, we have:

2 : 3 = x : 15

Convert ratio to fraction

⅔ = x/15

Multiply both sides by 15

15 * ⅔ = 15 * x/15

15 * ⅔ = x

30/3 = x

10 = x

x = 10

Hence, the length of the shorter side must be 10 feet

4 0
3 years ago
PLEASE, I NEED HELP!!!!!!
Rasek [7]
Okay so you're correct answer in this situation would be A but it could alsobe C
3 0
4 years ago
<img src="https://tex.z-dn.net/?f=5%20%5Csqrt%7B20%7D%20" id="TexFormula1" title="5 \sqrt{20} " alt="5 \sqrt{20} " align="absmid
SOVA2 [1]

Answer:

Step-by-step explanation:

=5\sqrt{20}

=5\sqrt{2^{2}*5 }

=5\sqrt{2x^{2} }  \sqrt{5}

=5 * 2\sqrt{5}

=10\sqrt{5}

3 0
3 years ago
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