Question

What is the solution of the equation 8/9(x+1/2)=32/3 when solving for x ?

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

First, let's simplify the equation by multiplying both sides by 9 to remove the fraction:

8/9(x + 1/2) = 32/3
9 * (8/9)(x + 1/2) = 9 * (32/3)
8(x + 1/2) = 96

Expand the left side of the equation by distributing 8 to both terms inside the parentheses:
8x + 4 = 96

Next, let's isolate the variable by subtracting 4 from both sides of the equation:
8x + 4 - 4 = 96 - 4
8x = 92

Finally, divide both sides of the equation by 8 to solve for x:
8x/8 = 92/8
x = 11.5

Therefore, the solution to the equation is x = 11.5.

Answer 2

To solve the equation 6.24(x+5.9)=20.22 , the first step is to reverse the multiplication. What number should both sides be divided by?

Answer 3

[AI-generated answer — Bot GPT 3.5]

To reverse the multiplication for the equation 6.24(x + 5.9) = 20.22, we need to divide both sides by 6.24.

By dividing both sides of the equation by 6.24, we can isolate the variable x.

6.24(x + 5.9) / 6.24 = 20.22 / 6.24

Simplifying, we get:

x + 5.9 = 3.25

Therefore, the number both sides should be divided by is 6.24.

Answer 4

What is the solution of 82.78(p+11.892)=72.8464 when solving for p ? Do not round your answer.

Answer 5

[AI-generated answer — Bot GPT 3.5]

To solve for p in the equation 82.78(p + 11.892) = 72.8464, we need to isolate the variable p.

First, let's reverse the multiplication by dividing both sides of the equation by 82.78:

82.78(p + 11.892) / 82.78 = 72.8464 / 82.78

Simplifying, we get:

p + 11.892 = 0.8795

Next, let's isolate p by subtracting 11.892 from both sides of the equation:

p + 11.892 - 11.892 = 0.8795 - 11.892

Simplifying, we get:

p = -11.0125

Therefore, the solution for p in the equation 82.78(p + 11.892) = 72.8464 is p = -11.0125.

Answer 6

wrong

Answer 7

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Let's solve the equation correctly:

82.78(p + 11.892) = 72.8464

First, distribute 82.78 to the terms inside the parentheses:

82.78p + (82.78)(11.892) = 72.8464

Multiply the coefficients:

82.78p + 981.66096 = 72.8464

Next, isolate the variable term by subtracting 981.66096 from both sides:

82.78p = 72.8464 - 981.66096

Simplify:

82.78p = -908.81456

Finally, divide both sides of the equation by 82.78 to solve for p:

p = (-908.81456) / 82.78

p ≈ -10.9689

Therefore, the solution for p in the equation 82.78(p + 11.892) = 72.8464 is p ≈ -10.9689.