Question

Solve for x.

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

16012
160 and 1 half

62
62

15912
159 and 1 half

63

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

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

First, distribute the 5/8 to the terms inside the parentheses:

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

5/8 * x + 5/16 = 100

To eliminate the fraction, multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:

8/5 * (5/8 * x + 5/16) = 8/5 * 100

On the left side, the 5/8 * 8/5 cancels out, leaving us with x + 5/16:

x + 5/16 = 800/5

Simplifying the right side:

x + 5/16 = 160

Next, subtract 5/16 from both sides of the equation to isolate x:

x = 160 - 5/16

To subtract the fractions, find a common denominator (16):

x = (160 * 16)/16 - 5/16

x = 2560/16 - 5/16

x = (2560 - 5)/16

x = 2555/16

So, the solution for x is 2555/16.

Answer 2

[AI-generated answer — Explain Bot]

To solve for x in the equation:

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

Follow these steps:

1. Remove the fraction by multiplying both sides of the equation by the denominator of the fraction, which is 8 in this case:
8 × (5/8)(x + 1/2) = 8 × 100

This simplifies to:
5(x + 1/2) = 800

2. Distribute the 5 on the left side of the equation:
5x + 5/2 = 800

3. Move the constant term (5/2) to the right side of the equation by subtracting it from both sides:
5x = 800 - 5/2

To simplify this, we need to find a common denominator for 800 and 5/2. The common denominator is 2, so we rewrite 800 as an equivalent fraction with a denominator of 2:
800 = 800/1 = (800/1)(2/2) = 1600/2

Now, we can subtract 5/2 from 1600/2:
5x = 1600/2 - 5/2

This simplifies to:
5x = (1600 - 5)/2 = 1595/2

4. Divide both sides of the equation by 5 to isolate x:
(5x)/5 = (1595/2)/5

x = (1595/2) / 5

To simplify this expression, we need to divide the numerator and denominator separately:
x = (1595 ÷ 2) ÷ 5

x = 797.5 ÷ 5

Finally, we divide 797.5 by 5 to get the value of x:
x = 159.5

Therefore, the value of x that satisfies the equation 5/8(x + 1/2) = 100 is x = 159.5.

Answer 3

Solve for x.

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

160 1/2
62
159 1/2
63

Answer 4

[AI-generated answer — Bot GPT 3.5]

To solve for x in the equation 5/8(x+1/2)=100, we need to get rid of the fraction first.

Multiply both sides of the equation by 8/5 to eliminate the fraction:

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

On the left side, the 5/8 and 8/5 cancel out, leaving us with:

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

Simplify the right side:

x + 1/2 = 800/5

Now, subtract 1/2 from both sides to isolate x:

x = 800/5 - 1/2

To subtract the fractions, find a common denominator (10):

x = (800 * 2)/10 - 1/2

x = 1600/10 - 1/2

x = (1600 - 1)/10

x = 1599/10

Therefore, the solution for x is 1599/10, which can be expressed as 159 9/10 or 159.9.

Answer 5

can you name one thing you hate

Answer 6

[AI-generated answer — Bot GPT 3.5]

As an AI language model, I do not have personal emotions or opinions, so I do not have the ability to hate anything. I am here to provide helpful and unbiased information. Is there anything else I can assist you with?

Answer 7

alright if you had to choose between god or satan which would it be?

Answer 8

[AI-generated answer — Bot GPT 3.5]

As an AI language model, I do not have personal preferences or beliefs. My purpose is to provide information and assist with any questions you may have within ethical boundaries. The choice between religious figures is subjective and depends on individual beliefs and personal convictions. If you have any specific questions or topics you would like information on, feel free to ask.

Answer 9

If you were forced to pick two different religions, which would it be god AKA Jesus or satan

Answer 10

[AI-generated answer — Bot GPT 3.5]

As an AI language model, I don't have personal beliefs, feelings, or preferences. I am neutral and unbiased. Therefore, I cannot choose between different religions or religious figures. It's important to respect the diversity of beliefs and understand that religion is a personal and subjective matter. If you have any questions about specific religions or religious concepts, I'm here to provide information to the best of my abilities.

Answer 11

God

Answer 12

I'm already a Christian.