Answer:
2 meters.
Step-by-step explanation:
We know that a cube of sidelength L has a volume:
V = L^3
Here, we know that the volume of water that the cube can hold is:
(1000/125) m^3
Then the volume of our cube is exactly that:
V = (1000/125) m^3
Then we have the equation:
L^3 = (1000/125) m^3
Which we can solve for L
L = ∛((1000/125) m^3 ) = (∛1000/∛125) m
Where we used that:
∛(a/b) = ∛a/∛b
Solving the cubic roots, we get:
L = (10/5) m = 2m
The length of the side of the water tank is 2 meters.
Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
For # 9, the answer is 4 pants and 11 shirts, see in the comments for my explanation
1). not a -27
2). -8x = -96 (x = 12)
3). y = -150
