Answer:
100 liters of 10% solution is used and 20 liters of 40% solution is used
Step-by-step explanation:
Let "X" amount of 10% solution is used. Then the amount of 40% solution used is equal to 120-X
Now
10% of X + 40% of (120-X) = 15% of 120
On solving the above equation, we get
liters
Amount of 40% solution used = 120 -X = 120-100 = 20 liters
100 liters of 10% solution is used and 20 liters of 40% solution is used
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
no
Step-by-step explanation:
If you mean
27^4 - 9^5·3^9 = -1161730026
it has no factors of 5, so cannot be divisible by 25.
__
If you mean ...
(27^4 -9^5)/3^9 = ((3^3)^4 -(3^2)^5)/3^9 = 3^10(3^2 -1)/3^9 = 3(9-1) = 24
it is not divisible by 25, either.
Answer:
the answer is B
Step-by-step explanation:
^^
"of" means multiply
So 65% * 40
65% is the same as 0.65 (% means divide by 100).
0.65 * 40 = 26
26 games
