For this type of problems, we try to work with the rate of production per unit time.
Let
x=rate of production of old machine (parts/hour)
x+2=rate of production of new machine (parts/hour)
"the new machine finished a certain job in 7 hours while the old one needed 8 hours to produce the same number of engine parts. "
means
7(x+2) = 8x
Solve for x
8x-7x=14
x=14 parts/hour (rate of old machine)
x+2=16 parts/hour (rate of new machine)
Check: 7(14+2)=112, 8(14)=112 ✔
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324.
I believe it is asking for x so I will be finding the value of x.
X = 4, work is shown below:
−2x=−3x+12−2x
Step 1: Simplify both sides of the equation.
−2x=−3x+12−2x
−2x=−3x+12+−2x
−2x=(−3x+−2x)+(12)(Combine Like Terms)
−2x=−5x+12
−2x=−5x+12
Step 2: Add 5x to both sides.
−2x+<u>5x</u>=−5x+12+<u>5x</u>
3x=12
Step 3: Divide both sides by 3.
3x/3 =1 2/3
x=4
I think the answer might be A
Not 5.8 IT'S 5/8
plz help me because I still have other homework
