Slove 3/4(5x-3)+8=17. Show your work

1 answer:

3 0

So first you would simplify 3/4(5x-3) to 3(5x-3)/4
So it would be 3(5x-3)/4+8=17
2. Subtract 8 from both sides
3(5x-3)/4=17-8
3. Then simplify 17-8 to 9
3(5x-3)/4=9
4. Multiply both sides by 4
3(5x-3)=9x4
5. Simplify 9x4 to 36
3(5x-3)=36
6. Divide both sides by 3
5x-3=36/3
Simplify 36/3 to 12
5x-3=12
8. Add 3 to both sides
5x=12+3
9. Simplify 12+3 to 15
5x=15
10. Divide both sides by 5
X=15/5
Simplify 15/5 to 3
X=3
So your answer is x=3

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Bill and Mary Ann went to the Viola bakery. Bill bought 5 pies and 7 donuts for $12.65. Mary Ann bought 6 of each for $12.30.

sweet [91]

Answer:

Pies=$0.85

Donuts= $1.20

Step-by-step explanation:

In the equation let p stand for the number of pies and d stand for the number of donuts.

To solve this set up 2 equations, one representing bill and the other representing Mary Ann.

Bill's equation is 5p+7d=$12.65.
Mary Ann's equation is 6p+6d=$12.30

Then solve using a system of equations. Systems of equations can be solved using elimination or substitution. I will use substitution. Solve bill's equation for p. This gives you $p=\frac{12.65-7d}{5}$ . Then, you can substitute that into Mary Ann's equation. This looks like $6\cdot \frac{12.65-7d}{5}+6d=12.3$ . Solve for d. Once you solve d=1.20. Finally, substitute 1.20 back into either Bill's or Mary Ann's for d and solve for p. No matter which equation you use p=0.85.