Answer:
Step-by-step explanation:
Answer:
(-17)/20
Step-by-step explanation:
Simplify the following:
-7/10 + 2/8 + 1/10 - 4/8
The gcd of 2 and 8 is 2, so 2/8 = (2×1)/(2×4) = 2/2×1/4 = 1/4:
-7/10 + 1/4 + 1/10 - 4/8
The gcd of -4 and 8 is 4, so (-4)/8 = (4 (-1))/(4×2) = 4/4×(-1)/2 = (-1)/2:
-7/10 + 1/4 + 1/10 + -1/2
Put -7/10 + 1/4 + 1/10 - 1/2 over the common denominator 20. -7/10 + 1/4 + 1/10 - 1/2 = (2 (-7))/20 + 5/20 + 2/20 - 10/20:
(2 (-7))/20 + 5/20 + 2/20 - 10/20
2 (-7) = -14:
(-14)/20 + 5/20 + 2/20 - 10/20
-14/20 + 5/20 + 2/20 - 10/20 = (-14 + 5 + 2 - 10)/20:
(-14 + 5 + 2 - 10)/20
-14 + 5 + 2 - 10 = (5 + 2) - (14 + 10):
((5 + 2) - (14 + 10))/20
5 + 2 = 7:
(7 - (14 + 10))/20
| 1 | 4
+ | 1 | 0
| 2 | 4:
(7 - 24)/20
7 - 24 = -(24 - 7):
(-(24 - 7))/20
| 1 | 14
| 2 | 4
- | | 7
| 1 | 7:
Answer: (-17)/20
Answer:
x = 2/5
Step-by-step explanation:
Given:
7 + 5x = 3(y-2)
Rearrange this equation such that x is expressed in terms of y
7 + 5x = 3(y-2) (expand right side)
7 + 5x = y(3)-2(3)
7 + 5x = 3y-6 (subtract 7 from both sides)
5x = 3y - 6 - 7
5x = 3y - 13
we are given the y-value of the coordinate pair (? , 5)
simply substitute y=5 into the equation above
5x = 3y - 13
5x = 3(5) - 13
5x = 15 - 13
5x = 2 (divide both sides 5)
x = 2/5
Answer:
Average rate of picking = 12.5 quarts per hour
Step-by-step explanation:
Given:
Total time taken = 1:00 PM to 3:00 PM = 2 hour
Amount of strawberries = 28 quarts
Amount of strawberries (already) = 3 quarts
Find:
Average rate of picking
Computation:
Average rate of picking = (28 - 3) / 2
Average rate of picking = 25 / 2
Average rate of picking = 12.5 quarts per hour
