Basically we want to know how many times 5/8 goes into 5 1/4.
5 1/4 ÷ 5/8 = 21/4 ÷ 5/8 = 21/4 × 8/5 = 42/5 = 8.4 bags
Since we cannot have a fraction of a bag, he can fill 8 bags completely.
answer: 8 bags
Shea bought 13.5 pounds of corn
c = pounds of corn
b = pounds of beans
Here’s what we know:
c(0.99) + b(0.45) = 18.09
c + b = 24
Solve the second equation for c in terms of b
c = 24-b
Substitute that expression for c in our first equation to get a numerical solution for b:
0.99 (24-b) + 0.45b = 18.09
23.76 - 0.99b + 0.45b = 18.09
-0.54b = -5.67
b = 10.5
Substitute that value to get a numerical value for c:
c = 24 - b
c = 24 - 10.5
c = 13.5
Check the math:
0.99(13.5) + 0.45(10.5) =
13.365 + 4.725 = 18.09
If X is between P and Q, then PQ is the whole line segment and XQ and XP are line segments that add up to PQ. Therefore, you can make an equation where XQ and XP add up to PQ.
XQ + XP = PQ
(3k) + (7k - 2) = 6k + 18
Combine like terms.
10k - 2 = 6k + 18
Add 2 to both sides.
10k = 6k + 20
Subtract 6k from both sides.
4k = 20
Divide both sides by 4.
k = 5
Plug 5 for k into XP.
XP = 7(5) - 2 ⇒ 35 - 2
XP = 33
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➷ Adjacent angles total to 180 degrees
15x + 1 + 13x + 3 + 64 = 180
28x + 68 = 180
Subtract 68 from both sides:
18x = 112
Divide both sides by 28:
x = 4
Substitute this value back in:
15(4) + 1 = 61
Angle VTS = 61 degrees
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Answer:
Darnell can read 1,715 words in 7 minutes
Step by step Explanation:
1. I need to find out how many words he reads in 1 minute. Divide 735 by 3, my answer is 245
245
______
3)735
6 bring down the 3 to make 13
-_____
1 3
12 bring down the 5 to make 15
-______
1 5
15
___________
0
2. multiply 735 by 2 cause he reads 735 words in 3 minutes and we are tryna find out how many words he reads in 7 minutes. 3×2=6, so 735+735 (735×2) equals 1470
3. Add 245, for that extra minute that we missed. my answer is 1,715 words in 7 minutes
