Solve for x. 5/8(x+1/2)=100 (1 point) Responses 160 1/2 160 and 1 half 62 62 159 1/2 159 and 1 half 63

Answer 1

To solve for x, we will first simplify the equation:

5/8(x+1/2) = 100

To get rid of the fraction, we can multiply both sides of the equation by 8:

8 * 5/8(x+1/2) = 8 * 100

On the left side, the 8 in the numerator cancels out with the 8 in the denominator:

5(x+1/2) = 8 * 100

Next, distribute the 5 to both terms inside the parentheses:

5x + 5/2 = 800

Subtract 5/2 from both sides:

5x = 800 - 5/2

To simplify 800 - 5/2, we can find a common denominator:

800 = 800/1 and 5/2 = 5 * 1/2 = 5/2

So, the equation becomes:

5x = 800 - 5/2

To subtract fractions, we need a common denominator, which in this case is 2:

800 = 800/1 and 5/2 = 10/2

So, the equation becomes:

5x = 800 - 10/2

Which simplifies to:

5x = 800 - 5

Now, subtract 5 from 800:

5x = 795

Finally, divide both sides of the equation by 5 to solve for x:

5x/5 = 795/5

x = 159

Therefore, the solution to the equation is x = 159.

Answer 2

Solve for w.

0.7(w+1.2)=2.1
(1 point)
Responses

-0.9
-0.9

1.8
1.8

4.2
4.2

0.9

Answer 3

To solve for w, we need to isolate w on one side of the equation.

0.7(w+1.2) = 2.1

Let's begin by distributing 0.7 to both terms inside the parentheses:

0.7w + 0.7 * 1.2 = 2.1

Simplifying the expression:

0.7w + 0.84 = 2.1

Next, subtract 0.84 from both sides of the equation:

0.7w = 2.1 - 0.84

0.7w = 1.26

To solve for w, we need to divide both sides of the equation by 0.7:

(0.7w)/0.7 = 1.26/0.7

w = 1.8

Therefore, the solution to the equation is w = 1.8.