Which of the following should be done to both sides of the equation −6x=48 to solve the value of x ?(1 point) Responses multiply by −6 multiply by negative 6 divide by −6 divide by negative 6 add 6 add 6 divide by 6
To solve the equation −6x=48 and find the value of x, both sides of the equation should be divided by -6.
So, the correct response is "divide by negative 6."
Which of the following should be done to both sides of the equation x12=6 to solve the value of x ?(1 point) Responses multiply by 12 multiply by 12 multiply by 6 multiply by 6 multiply by −12 multiply by negative 12 divide by 12
To solve the equation x12=6 and find the value of x, both sides of the equation should be divided by 12.
So, the correct response is "divide by 12."
What is the solution of the equation 5/2x = −1/8 ?(1 point)
Responses 120 Start Fraction 1 over 20 End Fraction −20 negative 20 −5/16 negative Start Fraction 5 over 16 End Fraction −1/20
To solve the equation 5/2x = −1/8, we need to isolate x.
First, we can multiply both sides of the equation by the reciprocal of 5/2, which is 2/5.
(5/2x) * (2/5) = (−1/8) * (2/5)
Simplifying, we have:
x = (−1/8) * (2/5) / (5/2)
x = (−1/8) * (2/5) * (2/5) / (5/2)
x = (−2/40) / (5/2)
x = −2/40 * 2/5 * 2/5 / 5/2
x = −4/200 / 5/2
x = −4/200 * 2/5 * 2/5 div 5/2
x = −4/200 * 2/5 * 2/5 * 2/5
x = −32/500
Simplifying further, the solution of the equation 5/2x = −1/8 is:
x = −32/500
So, the correct response is "-32/500" or "-16/250" (either fraction is acceptable).
What is the solution of the equation 5/2x = −1/8 ?
Responses
1/20 Start Fraction 1 over 20 End Fraction
−20 negative 20
−5/16 negative Start Fraction 5 over 16 End Fraction
−1/20
Apologies for the mistake in the previous response.
To solve the equation 5/2x = −1/8, we need to isolate x. We can do this by multiplying both sides of the equation by the reciprocal of 5/2, which is 2/5.
(5/2x) * (2/5) = (−1/8) * (2/5)
x = (−1/8) * (2/5) / (5/2)
Simplifying, we have:
x = (−1/8) * (2/5) * (2/5) / (5/2)
x = (−2/40) / (5/2)
x = (−2/40) * (2/5) * (2/5) / (5/2)
x = (−2/40) * (4/25) / (5/2)
x = (−8/100) * (2/5) * (2/5) / (5/2)
x = (−8/100) * (4/25) / (5/2)
x = (−32/250)
So, the correct response is "-32/250".
What is the solution of the equation 5/2x = −1/8 ?
Responses Pick 1 answer choice from here
A 1/20 Start Fraction 1 over 20 End Fraction
B −20 negative 20
C −5/16 negative Start Fraction 5 over 16 End Fraction
D −1/20
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:
(5/2x) * (2/5) = (-1/8) * (2/5)
This simplifies to:
x = -1/8 * 2/5
To multiply fractions, we multiply the numerators together and the denominators together:
x = (-1 * 2) / (8 * 5)
x = -2/40
Simplifying the fraction, we can divide both the numerator and denominator by 2:
x = -1/20
Therefore, the solution to the equation 5/2x = -1/8 is x = -1/20.
So, the correct response is A) 1/20.
What is the solution of the equation −x2.9=−3 ?(1 point)
Responses
A−87 negative
B 87
C 8.7
D −8.7