Answer:
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- <em>It takes</em><u> 2.5 minutes </u><em>to fill the tank.</em>
Explanation:
The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:
- Net rate = rate of filling - rate of leaking
- Net rate = 5 liters/minute - 1 liter/minute
- Net rate = 4 liters/minute
Thus, consiedering the tank is empty at the beginning, the time is:
- Time = Volume of the tank / net rate of filling
- Time = 10 liters / (4liters/minute)
- Time = 2.5 minutes ← answer
Answer:
(2) angle1 = 139, angle2 = 41, angle4 = 41, angle5 = 139, angle6 = 41, angle7 = 139, angle8 = 41
(3) angle1 = 150, angle2 = 30, angle4 = 30, angle5 = 150, angle6 = 30, angle7 = 150, angle8 = 30
Step-by-step explanation:
All angle are either equal to each other or supplementary. I use corresponding angles and vertical angles to prove each of the above.
For number 3, angle 3 and angle 8 are supplementary, so they add up to 180:
8x +70 + (4x - 10) = 180
12x + 60 = 180
12x = 120
x = 10
So if x = 10, then 8x + 70 = 8(10) + 70 = 150
That means all angles are either 150 or 30 for number 3.
Answer:
C. 9x + 224.36 ≥ 759.84
Step-by-step explanation:
If each team member raises x dollars, the 9 team members will have raised 9x dollars. That amount added to the amount they already have must equal or exceed the amount required:
9x + 224.36 ≥ 759.84 . . . . matches selection C
Let x represent some number
Sum of 3 and twice some number = 3 +2x
Five times the sum of 3 and twice some number: 5(3+2x)
5(3+2x)=70
15+10x=70
Subtract 15 from both sides to have 10x by itself
10x=55
Divide 10 on both sides to get x by itself
x=55/10
x=5.5
Hope this helped
Answer:
7.7%
Step-by-step explanation:
