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2 years ago

What is the solution to the following equation? 5(2x –6) + 20 = 10

Mathematics

2 answers:

Igoryamba2 years ago

3 0

Answer:

Step-by-step explanation:

Simplifying

5(2x + -6) + 20 = 10

Reorder the terms:

5(-6 + 2x) + 20 = 10

(-6 * 5 + 2x * 5) + 20 = 10

(-30 + 10x) + 20 = 10

Reorder the terms:

-30 + 20 + 10x = 10

Combine like terms: -30 + 20 = -10

-10 + 10x = 10

Solving

-10 + 10x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 10x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 10x = 10 + 10

10x = 10 + 10

Combine like terms: 10 + 10 = 20

10x = 20

Divide each side by '10'.

x = 2

Simplifying

x = 2

OlgaM077 [116]2 years ago

3 0

Answer:

x=2

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2x−6)+20=10

Step 1: Simplify both sides of the equation.

5(2x−6)+20=10

(5)(2x)+(5)(−6)+20=10(Distribute)

10x+−30+20=10

(10x)+(−30+20)=10(Combine Like Terms)

10x+−10=10

10x−10=10

Step 2: Add 10 to both sides.

10x−10+10=10+10

10x=20

Step 3: Divide both sides by 10.

10x

x=2

Answer:

x=2

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Mama L [17]

Answer:

4x²√4√6√x⁶√x

Step-by-step explanation:

4x²√(24x⁷)

The above expression can be simplified as follow:

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Recall

√(MN) = √M × √N = √M√N

Thus,

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But:

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4x²√24√x⁷ = 4x²√4√6√x⁶√x

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2 years ago

A research center poll showed that 83% of people believe that it is morally wrong to not report all income on tax returns. What

Marat540 [252]

The answer is .17 you subtract 1-.83

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2 years ago

Given: 1; -5; -13 ; -23 ; ...<br><br> Derive a formula for the nth term in the pattern.

mylen [45]

Answer:

f(n) = -n^2 -3n +5

Step-by-step explanation:

Suppose the formula is ...

f(n) = an^2 +bn +c

Then we have ...

f(1) = 1 = a(1^2) +b(1) +c

f(2) = -5 = a(2^2) +b(2) +c

f(3) = -13 = a(3^2) +b(3) +c

Here's a way to solve these equations.

Subtract the first equation from the second:

-6 = 3a +b . . . . . 4th equation

Subtract the second equation from the third:

-8 = 5a +b . . . . . 5th equation

Subtract the fourth equation from the fifth:

-2 = 2a

a = -1

Then substituting into the 4th equation to find b, we have ...

-6 = 3(-1) +b

-3 = b

and ...

1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation

5 = c

The formula is ...

f(n) = -n^2 -3n +5

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cpi%20%20x%5E%7B2%7D%20" id="TexFormula1" title=" \pi x^{2} " alt=" \pi x^{2} " align="

ANEK [815]

The formule is about area of a circle.

$\pi x^{2} = a$

We need to solve the equation for x. Where x is the radius of the circle.

In order to solve it for x, we need isolate it for x on left side.

So, first we need to get rid pi from left side.

On dividing both sides by pi, we get

$\frac{\pi x^2}\pi}=\frac{a}{\pi}$

$x^2=\frac{a}{\pi}$

Taking square root on both sides, we get

$\sqrt{x^2}=\sqrt{\frac{a}{\pi}}$

$x=\sqrt{\frac{a}{\pi}}$

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2 years ago

An adult ticket to a museum costs 3$ more than a children’s ticket. When 200 adult tickets and 100 children tickets are sold, th

antiseptic1488 [7]

The cost of children’s ticket is $ 5

<h3><u>Solution:</u></h3>

Let "c" be the cost of one children ticket

Let "a" be the cost of one adult ticket

Given that adult ticket to a museum costs 3$ more than a children’s ticket

<em>Cost of one adult ticket = 3 + cost of one children ticket</em>

a = 3 + c ------ eqn 1

<em><u>Given that 200 adult tickets and 100 children tickets are sold, the total revenue is $2100</u></em>

200 adult tickets x cost of one adult ticket + 100 children tickets x cost of one children ticket = 2100

$200 \times a + 100 \times c = 2100$

200a + 100c = 2100 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "c"</u></em>

Substitute eqn 1 in eqn 2

200(3 + c) + 100c = 2100

600 + 200c + 100c = 2100

600 + 300c = 2100

300c = 1500

Thus the cost of children’s ticket is $ 5

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2 years ago