1 stick of butter :))))))))))))))
Answer:
x = 2
Step-by-step explanation:
8x + 5 = 3x + 15
8x - 3x + 5 = 3x - 3x + 15
5x + 5 = 15
5x + 5 - 5 = 15 - 5
5x = 10
5x / 5 = 10 / 5
x = 2
Problem 1
<h3>Answer:
104 cubic inches</h3>
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Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
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Problem 2
<h3>Answer: 650 square inches</h3>
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Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
Table #1:
Using the first two points (2,1) and (5,3)
You get (x-2)/3 = (y-1)/2
But then the 3rd point (8,7) does not work, so this is not linear.
Table #2
Using the first two points (1,10) and (2,13)
You get x-1 = (y-10) /3
But then the 3rd point (3,18) does not work so this is also not linear.
Table #3
Using the first two points (2,1) and (4,6)
You get x-2 /2 = y-1 /5
And all the other points will work with this, which makes this table linear.
Rewrite the equation to get y = 5/2x-4
