Answer:
152 cubic units
Step-by-step explanation:
Volume of a cube = L³ where;
L is the side length of a cube
For the cube of side length of 3 units
Volume of the cube = 3³
Volume of the cube = 27 cubic units
For the cube of side length of 5 units
Volume of the cube = 5³
Volume of the cube = 125 cubic units
Total volume the ice can make = (125 + 27)cubic units
Total volume the ice can make = 152 cubic units
24.6667
round it, it'll be 25
Answer:
-3
Step-by-step explanation:
Since the two lines are parallel, the slopes will be the same.
If they drive an average of 60 miles per hour the last day it will take them 2.5 hours.
4 hours at 60 miles per hour = 4*60 = 240 miles
6 hours at 65 miles per hour = 6*65 = 390 miles
This is a total of 630 miles. There are 780-630=150 miles left; if they average 60 miles per hour, that would be 150/60 = 2.5 hours.
Answer:
The length of the shorter part of the wire is 24 centimeters.
Step-by-step explanation:
Let 
the total length of the piece of wire, where 
and 
are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are 
and 
. From statement we find that the sum of the areas of the two squares (
), measured in square centimeters, is represented by the following expression:
(1)
And we expand this polynomial below:
(2)
If we know that 
and 
, then the length of the shorter part of the wire is:
By the Quadratic Formula, we determine the roots associated with the polynomial:
, 
The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.
