One expression could be three x to the power of two. Let me know if that's right :)
4x / 5 = 1 / 3 ( 2x - 15 )
4x / 5= ( 2x - 15 ) / 3
4x × 3 = 5 ( 2x - 15 )
12x = 10x - 75
12x - 10x = - 75
2x = - 75
x = - 75 / 2
x = - 37.5
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
<h3>Exact
Answer: (160/3)pi</h3><h3>Approximate Answer: 167.47</h3>
The approximate answer results when you use pi = 3.14, and this approximate answer is rounded to two decimal places
note that (160/3)pi is the same as 160pi/3
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Work Shown:
r = radius = 4
h = height = 10
V = volume of cone
V = (1/3)pi*r^2*h
V = (1/3)pi*4^2*10
V = (160/3)pi exact answer
V = (160/3)*3.14
V = 167.46666....
V = 167.47 approximate answer rounded to two decimal places
