Answer:
5
Step-by-step explanation:
If their average is 6 and there are three numbers in total, the total sum of the three numbers would be:
6×3 = 18
You know that two of them is 6 and 7, so you can find the last number easily.
18-6-7 = 5
Total capacity = sum of the individual production capacities.
Here,
Total capacity = sum of f(m) = (m + 4)^2 + 100 and g(m) = (m + 12)^2 − 50.
Then f(m) + g(m) = (m + 4)^2 + 100 + (m + 12)^2 − 50.
We must expand the binomial squares in order to combine like terms:
m^2 + 8 m + 16 + 100
+m^2 + 24m + 144 - 50
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Then f(m) + g(m) = 2m^2 + 32m + 160 + 50
f(m) + g(m) = 2m^2 + 32m + 210, where m is the number of
minutes during which the two machines operate.
Answer:
Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units.
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x+5y=12
3x+4y=11
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3(2x+5y)=3(12)
-2(3x+4y)=-2(11)
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6x+15y=36
-6x-8y=-22
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7y=14
y=14/7=2
2x+5(2)=12
2x+10=12
2x=12-10=2
x=2/2=1
x=1, y=2. (1, 2)
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I just provided you an example of a system of equations and I already solved it for you.
Answer:
702 kilometers per hour.
Step-by-step explanation:
3,510 divided by 5 = 702.
Since 5 is the number of hours it took to travel 3,510 kilometers, and we need to find the kilometers per hour, simply divide 3,510 by 5.