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JulijaS [17]
4 years ago
12

Given that 3x-y : x+2y = 2 : 5, Determine the ratio x:y

Mathematics
1 answer:
N76 [4]4 years ago
7 0

Answer:

x : y = 9 : 13

Step-by-step explanation:

Given that

3x - y : x + 2y = 2 : 5

Express the ratio in fractional form, that is

\frac{3x-y}{x+2y} = \frac{2}{5} ( cross- multiply )

5(3x - y) = 2(x + 2y) ← distribute parenthesis on both sides )

15x - 5y = 2x + 4y ( subtract 2x from both sides )

13x - 5y = 4y ( add 5y to both sides )

13x = 9y ( divide both sides by 13 )

x = \frac{9}{13} y ( divide both sides by y )

\frac{x}{y} = \frac{9}{13} , that is

x : y = 9 : 13

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Answer:

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Step-by-step explanation:

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3 years ago
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What is the solution of the following systems of equations? y = 1/2x <br> y = -x -3
SVEN [57.7K]

Answer:

<em>x = -2,  y = -1</em>

Step-by-step explanation:

<u>System of Equations</u>

Solve the system:

y = 1/2x

y = -x - 3

Multiplying the first equation by 2:

2y = x

Substituting x in the second equation:

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3 years ago
When using substitution to solve this system of equations, what is the result of the first step x=6y+3
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3 years ago
Mae has a number cube with 6 sides that are numbered 1 through 6. What is the probability that Mae will roll an odd number?
Stels [109]

Answer:

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<u></u>P(E)  = \frac{3}{6}<u></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that Mae has a number cube with 6 sides that are numbered 1 through 6.</em>

<em>n(S) = { 1,2,3,4,5,6,} = 6</em>

<em>Let 'E ' be the event of odd numbers</em>

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<u></u>P(E) = \frac{n(E)}{n(S)} = \frac{3}{6}<u></u>

<u></u>P(E)  = \frac{3}{6}<u></u>

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3 years ago
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Sliva [168]

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3 years ago
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