Answer:
choice 3) 11,488.21 cm³
Step-by-step explanation:
r= 28/2 = 14
volume = 4/3πr3 = 4/3(3.14)(14³) = 11,488.21 cm³
Answer:12
Step-by-step explanation:
60 times 20 = 1200 1200 divided by 100 = 12
Answer:
(-9, -3)
Step-by-step explanation:
x = -3
y = -5
(x – 6, y + 2)
x = -3 - 6 = -9
y = -5 + 2 = -3
(-9, -3)
Answer:
No solution
Step-by-step explanation:
To eliminate is to get rid of one of the variables.
You can choose to either add each term in the equations or subtract each term in the equation.
For a variable to be eliminated, there must one pair that have the same constant with it. Each equation already has the same constant with a variable.
Try adding them.
. y - x = 15
<u>+ y - x = 5</u>
2y - 2x = 20 No variables were eliminated.
Try subtracting.
. y - x = 15
<u>- y - x = 5</u>
0y - 0x = 10 All variables were eliminated.
. 0 = 10 This is false.
This system of equations cannot be solved.
Graphically, these two lines would have the same slope and are parallel. The solution to a system is same as the point of intersection. Parallel lines never meet, never intersect, therefore there is no solution.
Answer:
The tank will empty in 4 hours.
Step-by-step explanation:
Since a barrel contains 56 liters of kerosene, and it has two taps, one tap that draws 500 ml every 6 minutes and after first 5 liters are drawn from the barrel, the second tap also starts, and it draws 1 liter in every 5 minutes, to determine how many hours will be taken in all to empty the tank, the following calculation must be performed:
0.5 x X = 5
X = 5 / 0.5
X = 10
10 x 6 = 60
1 hour = 51 liters
1 hour 30 minutes = 51 - (1 x 6) - (0.5 x 5) = 42.5
2 hours = 42.5 - (1 x 6) - (0.5 x 5) = 34
2 hours 30 minutes = 34 - (1 x 6) - (0.5 x 5) = 25.5
3 hours = 25.5 - (1 x 6) - (0.5 x 5) = 17
3 hours 30 minutes = 17 - (1 x 6) - (0.5 x 5) = 8.5
4 hours = 8.5 - (1 x 6) - (0.5 x 5) = 0
Therefore, the tank will empty in 4 hours.
