Let's do this step by step:
Subtract both sides by 7
-2|x-4|= -10
Divide each side by -2
|x-4|= 5
Now since this is an absolute value equation, you will have two answers. This means you make the equation both positive and negative.
X-4= 5and -(x-4)= 5
Solve for x for both
X-4= 5: add four on both sides
X= 9
-x+ 4= 5: subtract 4 and divide by -1
X= -1
So your answer is: X= -1 , 9

4 0

4 years ago

Michelle had a birthday party. She bought a bag of candy with 96 Starbursts, 72 Hershey's, and 68 Reese's. She wants to use all

Artist 52 [7]

Answer:

4 goody bags.

Step-by-step explanation:

We have been given that Michelle bought a bag of candy with 96 Starbursts, 72 Hershey's, and 68 Reese's.

To find the largest number of goody bags with the same amount of Starbursts, Hershey's and Reese's in each bag, we need to find the greatest common factor of 96, 72 and 68.

Factors of 96 are: 1, 2, 3, 4, 24, 32, 48, 96.

Factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

Factors of 68 are: 1, 2, 4, 17, 34, 68.

We can see that greatest common factor of 96, 72 and 68 is 4, therefore, the largest number of bags that Michelle can make with 96 Starbursts, 72 Hershey's, and 68 Reese's is 4 bags.

3 0

3 years ago