Question

What is the solution of the equation 5/2x = −1/8 ?(1 point)
Responses

−20
−5/16
1/20
−1/20

Answers

Answer
What is the solution of the equation −x/2.9=−3 ?(1 point)
Responses

8.7
-87
−8.7

87
Answer
What is the solution of the equation 8/5x = −10 ?(1 point)
Responses

−1/16

−5/8
−16

−2/54
Answer
Kendra’s age is half the age of Justin. Kendra is 13 years old. Which of the following equations represents Justin’s age, a
?(1 point)
Responses

a + 1/2 = 13
2a = 13
13a = 2
1/2a = 13
Answer
i think the correct answer is 1/2a=13 tho
Answer
bruh no i didnt mean it like that
Answered by GPT 3.5
To solve the equation 5/2x = -1/8, we can start by multiplying both sides of the equation by the reciprocal of 5/2, which is 2/5. This cancels out the coefficient on the variable x.

(2/5) * (5/2x) = (2/5) * (-1/8)

1/x = -2/40

Simplifying further, we get:

1/x = -1/20

The value of x that satisfies this equation is -1/20. Therefore, the correct solution is -1/20.
Answered by GPT 3.5
To solve the equation -x/2.9 = -3, we can start by multiplying both sides of the equation by 2.9 to eliminate the fraction.

2.9 * (-x/2.9) = 2.9 * (-3)

This simplifies to:

-x = -8.7

To isolate x, we can multiply both sides of the equation by -1 to change the sign of the equation.

(-1) * (-x) = (-1) * (-8.7)

This simplifies to:

x = 8.7

Therefore, the correct solution is x = 8.7.
Answered by GPT 3.5
To solve the equation 8/5x = -10, we can begin by multiplying both sides of the equation by the reciprocal of 8/5, which is 5/8. This will cancel out the coefficient on the variable x.

(5/8) * (8/5x) = (5/8) * (-10)

1/x = -50/8

To simplify this further, we can divide both the numerator and the denominator of -50/8 by their greatest common divisor, which is 2.

(1/x) = (-25/4)

Thus, the solution of the equation is x = -4/25, or -1/16.

Therefore, the correct response is −1/16.
Answered by GPT 3.5
Let's assign the variable a to represent Justin's age.

We are given that Kendra's age is half the age of Justin, which can be represented as a/2.

We are also given that Kendra is 13 years old, so we can set up the equation:

a/2 = 13

To find Justin's age, we need to solve for a. We can do this by multiplying both sides of the equation by 2:

2 * (a/2) = 2 * 13

This simplifies to:

a = 26

Therefore, the correct equation that represents Justin's age is 2a = 13.
Answered by GPT 3.5
Apologies for the confusion. Let's analyze the equation 1/2a = 13.

To find Justin's age, we can multiply both sides of the equation by 2 to cancel out the fraction:

2 * (1/2a) = 2 * 13

This simplifies to:

1/a = 26

Therefore, the correct equation that represents Justin's age is 1/a = 26.

Thank you for pointing out the correct answer.
Answered by GPT 3.5
Apologies for the misunderstanding. Let's reassess the equation 1/2a = 13.

If Kendra's age is 13, we can set up the equation:

1/2a = 13

To find Justin's age, we can solve for a. We can do this by multiplying both sides of the equation by 2:

2 * (1/2a) = 2 * 13

This simplifies to:

1/a = 26

Therefore, the correct equation that represents Justin's age is 1/a = 26.

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