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icang [17]
3 years ago
13

What value for n makes the equation true? 8n - 2 = 2

Mathematics
2 answers:
andrew-mc [135]3 years ago
6 0

Answer:

\boxed {\tt n=\frac{1}{2}}

Step-by-step explanation:

We are given the equation

8n-2=2

We want to solve for n, therefore we must isolate n on one side of the equation.

2 is being subtracted from 8n. The inverse of subtraction is addition. Add 2 to both sides of the equation.

8n-2+2=2+2

8n=2+2

8n=4

n is being multiplied by 8. The inverse of multiplication is division. Divide both sides of the equation by 8.

\frac{8n}{8}=\frac{4}{8}

n=\frac{4}{8}

n=\frac{1}{2}

The value of n that makes the equation true is <u>1/2</u>.

kiruha [24]3 years ago
3 0

Answer:

n = 1/2

Step-by-step explanation:

The answer is 1/2

I hope this helps you

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10) x=<span>2<span>y</span></span>
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5 0
4 years ago
Tower one, a cube with a hexagonal prism measures 15.6cm. Tower two, a cube with a cylinder measures 18.3cm. Tower 3, a hexagona
lina2011 [118]

Answer:

Tower 4 = 23.9cm

Step-by-step explanation:

Given

Tower one = 15.6 cm

Tower two = 18.3 cm

Tower 3 = 13.9 cm.

Required:

Height of the 4th tower

Represent a cube by X; a cylinder by Y and a hexagonal prism by Z

Tower one, a cube with a hexagonal prism = X + Z = 15.6

Tower two, a cube with a cylinder = X + Y = 18.3

Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9

X + Z = 15.6 ----- Equation 1

X + Y = 18.3 ----- Equation 2

Z + Y = 13.9 ----- Equation 3

Subtract equation 1 from 2

(X + Y = 18.3) - (X + Z = 15.6)

X - X + Y - Z = 18.3 -15.6

Y - Z = 18.3 -15.6

Y - Z = 2.7 ---- Equation 4

Add Equation 4 to Equation 3

(Y - Z = 2.7) + (Z + Y = 13.9)

Y + Y - Z + Z = 2.7+ 13.9

2Y  = 2.7+ 13.9

2Y  = 16.6

Divide both sides by 2

\frac{2Y}{2}  = \frac{16.6}{2}

Y  = \frac{16.6}{2}

Y  = 8.3cm

Substitute Y  = 8.3cm in Equation 2 and 3

X + Y = 18.3 ----- Equation 2

X + 8.3 = 18.3

Subtract 8.3 from both sides

X + 8.3 - 8.3 = 18.3 - 8.3

X = 18.3 - 8.3

X = 10cm

Z + Y = 13.9 ----- Equation 3

Z + 8.3 = 13.9

Subtract 8.3 from both sides

Z + 8.3 - 8.3 = 13.9 - 8.3

Z = 13.9 - 8.3

Z = 5.6cm

So, we have that

X = 10cm

Y  = 8.3cm

Z = 5.6cm

The question states that the 4th tower is made up of the three shapes;

This implies that;

Tower 4 = X + Y + Z

Tower 4 = 10cm + 8.3cm + 5.6cm

Tower 4 = 23.9cm

The height of the 4th tower is 23.9cm

8 0
3 years ago
Select the solutions of the equation. <br> 2x2-3x-5=0
meriva

Using the Quadratic formula

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5 0
3 years ago
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What is the m∠ACB in the circle shown below?
GuDViN [60]

Question:

What is the m∠ACB in the circle shown below?

Answer:

45

Step-by-step explanation:

So we know it is <u><em>less than a right angle</em></u> and it is not a obtuse angle it is less than 90 degrees. 45 is less, 90 is equal(<em>not what we are looking for</em>) , 120, is greater, and 180 is greater which leaves us to our answer 45.

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3 years ago
Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the
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Answer:

in steps

Step-by-step explanation:

DE // BC

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∴ ΔADE similar to ΔABC

AB/AD = AC/AE

(AD + DB) / AD = (AE + EC) / AE

AD/AD + DB/AD = AE/AE + EC/AE

1 + DB/AD = 1 + EC/AE

DB/AD = EC/AE    (AD/DB = AE/EC)

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