Answer:Factor by grouping.
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(
x
−
4
)
(
3
x
+
1
)
x
−
4
Reduce the expression by cancelling the common factors.
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3
x
+
1
Step-by-step explanation:
Answer
so there are 7 singing acts and 5 comedy acts.
Step-by-step explanation:
Let x= number of singing acts.
Let y= number of comedy acts.
We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.
We solve x+y=12
Y=-x+12
We know y=-x+12, so we will substitute that for the y in the second equation.
1. Substitute 5x+3(-x+12)=50
2. Distribute 5x-3x+36=50
3. Solve 2x+36=50
2x=14
X=7
Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.
5(7)+3y=50
35+3y=50
3y=15
Y=5
34 ÷ 8 = 4 (remainder 2)
4 2/8 = 4 1/4
So another name for 34/8 as a mixed number is 4 1/4. I hope this helps!
You need to find the area of the total rectangle, and subtract the area of the green rectangle from it. Therefore the solution is 12x10 - 8x6. This equals 72; part (C) of the question.
Therefore the solution is 72 units square; part (C).
