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
Answer: 24
Step-by-step explanation:
Should be 24 if I did the math correctly, I am very sorry if it is wrong.
Answer:
The answer is B.
Step-by-step explanation:
Simply you change 6 3/4 into decimal form which is 6.75 then you divide it by the amount which is 3/4= .75
divide 6.75 by .75 equals 9
i hope this helps
-9 will be the answer to the problem
Answer:
C.
0.10(20,000) + 0.18(30,000) + 0.27(x − 50,000)
Step-by-step explanation:
Let's take this one step at a time. First, the $20000 dollars is taxed by 10% = .10 as a decimal. So the first term is
<u>.10(20000) </u>
Next, we have to add on the second term, wherein the next $30000 is taxed by .18. So the second term is
.10(20000) <u>+ .18(30000)</u>
Then, we have to take whatever's left, whatever we haven't yet taxed, and tax it at a 27% rate. This means x-50000, not x, because we're taking whatever's over the initial 50000 that we've already taxed.
0.10(20,000) + 0.18(30,000) <u>+ 0.27(x − 50,000) </u>
