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solmaris [256]
3 years ago
7

Solve the following equation for N 1/5 (N+3)+4=3/10 (2N-2) n = ________

Mathematics
1 answer:
postnew [5]3 years ago
8 0

Answer:

n = 13

Step-by-step explanation:

1/5(n + 3) + 4 = 3/10(2n - 2)

~Simplify both sides

1/5n + 3/5 + 4 = 3/5n - 3/5

~Combine like terms

1/5n + 23/5 = 3/5n - 3/5

~Subtract 23/5 to both sides

1/5n = 3/5n - 26/5

~Multiply 5 to both sides

n = 3n - 26

~Subtract 3n to both sides

-2n = -26

~Divide -2 to both sides

n = 13

Best of Luck!

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The volume of a cube is 27 in^3 How long is each side ? Show and explain your work for full credit.
nikklg [1K]

Answer:

a = 3 inch

Step-by-step explanation:

Given that,

The volume of a cube is 27 cubic inches.

We need to find the side of the cube.

We know that, the formula for the volume of the cube is given by :

V=a^3

a is the side of the cube

a=(V)^{1/3}

Put V = 27

so,

a=(27)^{1/3}\\\\a=(3\times 3\times 3)^{1/3}\\\\a=3\ \text{inch}

So, the side of each side of a cube is 3 inches.

4 0
3 years ago
Solve the system of equations given below
LuckyWell [14K]

-5(y-15=3x) = -5y+75=-15x

add 15x to both sides and subtract 75 to both sides

-5y+15x=-75

5y-2x=-3

13x=-78

divide 13 to both sides

x=-6

y-15=3(-6)

y-15=-18

add 15 to both sides

y=-3

so the answer is  (-6,-3)

I hope that this helped you sweetie :)



3 0
3 years ago
A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 12 mugs mugs with coffee, how many quarts of cof
Marianna [84]
1 quart = 32 fluid ounces
16 is half of 32 so 1 quart fills 2 mugs meaning that she needs 6 quarts of coffee
6 0
3 years ago
What is 1/7 divided by ? = 14
user100 [1]
First you multiply the numbers you do have to get the number your looking for 1/7•14=2 and 2divided by 1/7=14 so 2 would be your answer
4 0
3 years ago
What does a=? b=? Angle B=?
Kobotan [32]

Answer:

If you were solving the right triangle, it would be:

m∠A = 46°

m∠B = 44°

m∠C = 90°

AB = 32

BC ≈ 23

AC ≈ 24

Step-by-step explanation:

To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:

m∠A = 46° (given)

m∠B = x

m∠C = 90° (given)

180 - (46 + 90) = x

180 - 136 = x

44 = x

m∠B = 44°

To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.

Recall that:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

So:

sin46 = BC/32

BC = 32 (sin46)

BC ≈ 23

tan46 = BC/AC

AC = BC/tan46

AC = (23.01887361...) (tan46)

AC ≈ 24

5 0
2 years ago
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