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3 years ago

Find the value of n 1/4(2n +6) = 4

Mathematics

2 answers:

Sophie [7]3 years ago

4 0

Answer:

n= 5

Step-by-step explanation:

Hello! So to find the value of n, we just multiply 1/4 by the numbers inside the parentheses and then solve for n by dividing. Let's do it!

1/4 (2n + 6) = 4

0.5n + 1.5 = 4

0.5n = 4 - 1.5

0.5n = 2.5

n = 2.5 / 0.5

n = 5

Hope that helps, let me know if you have questions! :)

MissTica3 years ago

3 0

Answer:

n=5

Step-by-step explanation:

1/4(2n +6) = 4

Multiply each side by 4

4*1/4(2n +6) = 4*4

(2n +6) = 16

Subtract 6 from each side

2n+6-6 = 16-6

2n = 10

Divide each side by 2

2n/2 = 10/2

n =5

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3 years ago

Which ordered pair is a solution to the system of linear equations One-half x minus three-fourths y = StartFraction 11 Over 60 E

s344n2d4d5 [400]

Answer:

$\left(\dfrac{2}{3},\dfrac{1}{5}\right)$

Step-by-step explanation:

Given the system of two equations:

$\left\{\begin{array}{l}\dfrac{1}{2}x-\dfrac{3}{4}y=\dfrac{11}{60}\\ \\\dfrac{2}{5}x+\dfrac{1}{6}y=\dfrac{3}{10}\end{array}\right.$

Multiply the first equation and the second equation by 60 to get rid of fractions:

$\left\{\begin{array}{l}30x-45y=11\\ \\24x+10y=18\end{array}\right.$

Now multiply the first equation by 4 and the second equation by 5:

$\left\{\begin{array}{l}120x-180y=44\\ \\120x+50y=90\end{array}\right.$

Subtract them:

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Substitute it into the first equation:

$30x-45\cdot \dfrac{1}{5}=11\\ \\30x-9=11\\ \\30x=11+9\\ \\30x=20\\ \\x=\dfrac{2}{3}$

The solution is $\left(\dfrac{2}{3},\dfrac{1}{5}\right)$

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Genrish500 [490]

Answer:

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