Solve. Start Fraction 3 over 2 End Fractionx – 4 = 16
(1 point)
Responses
x = 20
x = 20
x = 13 start fraction 1 over 3 end fraction
x = 13 Image with alt text: start fraction 1 over 3 end fraction
x = 15 start fraction 1 over 3 end fraction
x = 15 Image with alt text: start fraction 1 over 3 end fraction
30
To solve the equation, we need to isolate x on one side of the equation.
Starting with the given equation:
(3/2)x - 4 = 16
First, let's add 4 to both sides of the equation to get rid of the -4:
(3/2)x - 4 + 4 = 16 + 4
(3/2)x = 20
Next, we need to get rid of the fraction (3/2) by multiplying both sides of the equation by the reciprocal of (3/2), which is (2/3):
(2/3)(3/2)x = (2/3)(20)
x = 40/3
Simplifying the right side:
x = 13 1/3
Therefore, the solution is:
x = 13 1/3
Use the given equation to find the solution to the following problem.
The equation 9.95 + 0.30s = c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs.
(1 point)
Responses
c = $9.95
c = $9.95
c = $20.45
c = $20.45
c = $35.00
c = $35.00
c = $114.45
To solve the equation, start by isolating the variable "x."
Step 1: Add 4 to both sides of the equation.
Start Fraction 3/2 End Fractionx - 4 + 4 = 16 + 4
Simplifying gives:
Start Fraction 3/2 End Fractionx = 20
Step 2: To solve for "x," divide both sides of the equation by 3/2.
Start Fraction Start Fraction 3/2 End Fraction x End Fraction Start Fraction Start Fraction 3/2 End Fraction Start Fraction 2/3 End Fraction End Fraction = 20 Start Fraction 2/3 End Fraction
Simplifying gives:
x = 20 * (2/3)
x = 40/3
Therefore, the solution to the equation is x = 40/3 or x = 13 1/3.
To solve the equation `3/2 * x - 4 = 16`, you can follow these steps:
Step 1: Add 4 to both sides of the equation to isolate the fraction term:
`3/2 * x - 4 + 4 = 16 + 4` becomes `3/2 * x = 20`.
Step 2: Multiply both sides of the equation by the reciprocal of the fraction coefficient (2/3 in this case) to get rid of the fraction:
`(2/3) * (3/2) * x = (2/3) * 20` becomes `x = 40/3` or `x = 13 (1/3)`.
Therefore, the answer to the equation is `x = 13 (1/3)`.