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2 years ago

15

Solve for x: one over four (4x + 15) = 24

2 answers:

jenyasd209 [6]2 years ago

8 0

So the first step to solving this problem is to distribute the $\frac{1}{4}$
to what's inside the parenthesis. This means multiply $\frac{1}{4}$ by 4x and 15.
After that, this is what you shoud have.
$\frac{4x}{4}$ + $\frac{15}{4}$ = 24
This should be simplified
1x = 24 - $\frac{15}{4}$

$\frac{15}{4}$ is equal to 3.75
x = 20.25
20.25 is equal to $\frac{81}{4}$

Serjik [45]2 years ago

4 0

The answer is 3) 81/4

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On the checkerboard, 4/10 of the pieces left are red. What fraction of the pieces left are black? Write the equation.

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The fraction of black pieces left is $\frac{6}{10}$

Step-by-step explanation:

Given as :

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So, The fraction of black pieces left = x = 1 - $\frac{4}{10}$

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The price of 1 kg of silver on 1st January 2010 was $607

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2 years ago

Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

natka813 [3]

ANSWER

$( \frac{2}{3} , \frac{1}{5} )$

EXPLANATION

The first equation is

$\frac{1}{2} x - \frac{3}{4} y = \frac{11}{60} ...(1)$

The second equation is

$\frac{2}{5} x + \frac{1}{6} y = \frac{3}{10} ...(2)$

We want to eliminate y, so we multiply the first equation by

$\frac{4}{5}$

$\frac{4}{5} \times \frac{1}{2} x - \frac{4}{5} \times \frac{3}{4} y = \frac{11}{60} \times \frac{4}{5}$

$\frac{2}{5} x - \frac{3}{5} y = \frac{11}{75} ...(3)$

We now subtract equation (3) from (2)

$(\frac{2}{3} x - \frac{2}{3} x )+ ( \frac{1}{6} y - - \frac{3}{5}y ) =( \frac{3}{10} - \frac{11}{75} )$

$\frac{1}{6} y + \frac{3}{5}y =\frac{3}{10} - \frac{11}{75}$

$\frac{23}{30}y = \frac{23}{150}$

Multiply both sides by

$\frac{30}{23}$

$\implies \: \frac{30}{23} \times \frac{23}{30}y= \frac{23}{150} \times \frac{30}{23}$

$\implies \: y = \frac{1}{5}$

Substitute into the first equation to solve for x .

$\frac{1}{2} x - \frac{3}{4} \times \frac{1}{5} = \frac{11}{60}$

Multiply to obtain

$\frac{1}{2} x - \frac{3}{20} = \frac{11}{60}$

$\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}$

$\frac{1}{2} x = \frac{1}{3}$

Multiply both sides by 2.

$2 \times \frac{1}{2} x =2 \times \frac{1}{3}$

$x = \frac{2}{3}$

The solution is

$( \frac{2}{3} , \frac{1}{5} )$

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