Answer:
Tim needs to finish 59/90
Step-by-step explanation:
Add together what Evan Claire and Jaya ran
9/10 + 7/9+ 2/3
The common denominator is 90
9/10 (9/9) +7/9 *10/10 + 2/3 *30/30
81/90 + 70/90 + 60/90
211/90
We need 3 km = 3 *90/90 = 270 /90
270/90 - 211/90 = 59/90
Answer:
D one solution.
Step-by-step explanation:
It's linear. It is going to have at most 1 solution
8 + x/6 = x/6 - 4 + 5x/12 Subtract x/6 from both sides
8 = -4 + 5x/12 Add 4 to both sides
8+4 = 5x / 12 Combine
12 = 5x / 12 Multiply both sides by 12
12 * 12 = 5x * 12 / 12 Cancel
144 = 5x Divide by 5
144/5 = 5x/5
28.8 = x
Problem 44
The term "bisect" means "cut in half".
Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.
angle ABD = angle DBC
x+15 = 4x-45
15+45 = 4x-x
60 = 3x
3x = 60
x = 60/3
x = 20
<h3>Answer: x = 20</h3>
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Problem 45
We use the same idea as the previous problem
angle ABD = angle DBC
2x+35 = 5x-22
35+22 = 5x-2x
57 = 3x
3x = 57
x = 57/3
x = 19
<h3>Answer: x = 19</h3>
Answer:
Step-by-step explanation:
y=2x²-6x+3
y=2x+3
2x²-6x+3=2x+3
2x²-6x+3-2x-3=0
2x²-8x=0
2x(x-4)=0
x=0,4
y=0+3=3
and y=2(4)+3=11
so solutions are (0,3) and (4,11)
We subtract 32 and 24 from 1219 and we get the answer. 1219-32-24=1163. 1,163 books were left.