This can be treated as a proportion problem.
Larger solid:
Surface area = 1,372 cm²
Volume = 1,801 cm³
Smaller solid:
Surface area = 1,008cm²
Volume = ?
1,372 / 1,801 = 1008 / x
1,372 * x = 1,801 * 1008
1,372x = 1,815,408
x = 1,815,408 / 1,372
x = 1,323.18
The volume of the smaller solid is 1,323.18 cm³
Answer:
Jenna had 25 quarters and 15 dimes.
Step-by-step explanation:
Let Q = the number of quarters and D = the number of dimes.
Then:
1) Q+D = 40 "One week she had 40 coins, all of them dimes and quarters...."
2) 0.25Q+0.1D = $7.75 "...she had a total of $7.75."
Rewrite equation 1) as: D = 40-Q and substitute into equation 2).
2a) 0.25Q+0.1(40-Q) = 7.75 Simplify the left side.
2b) 0.25Q+4-0.1Q = $7.75 Subtract 4 from both sides.
2c) 0.25Q-0.1Q = 3.75 Combine the like-terms on the left side.
2d) 0.15Q = 7.75 Divide both sides by 0.15
2e) Q = 25 and:
D = 40-Q
D = 40-25
D = 15
Jenna had 25 quarters and 15 dimes.
A) 859.32/8= 107.415=108 tickets
B) 980.68/8= 122.585=123 tickets
I think the answer could be A but I'm not so sure because at first Kayla has 6 boxes with x amount of books in the boxes with four left over so the equation would be 6x+4= number of books. So if she then replaces the now five boxes with x amount of books in them and adds four books to each of the five boxes you get 5x+4=number of books so it all equals out to the same number of books on both sides of the equal sign for 6x+4=5x+4
