ANSWER
4375 unit cubes
EXPLANATION
The volume of a right rectangular prism is given by;

We substitute the given dimension to obtain,

The volume of the unit cube with edge lengths

is

To find the number of unit cubes that can fit inside the prism, we divide the volume of the rectangular prism by the volume of the unit cube.


Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70 
From there
x * (2x - 4) = 70
- 4x = 70
- 4x - 70 = 0
- 2x - 35 = 0
Now we have a quadratic equation, which is a
+ bx + c = 0, where a
0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D =
- 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are
and
=
= -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
=
= 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
Answer:
-3
2
5
Step-by-step explanation:
Answer:
6 is the integer which is equivalent to 9 and 3 halves
Step-by-step explanation:
we have to find the integer which is equivalent to 9 and 3 halves
Rule of halves means the restatement of meaning of median. Therefore, we have to find the median of these two integers 9 and 3.
Median of 9 and 3 is 
Hence, 6 is the integer which is equivalent to 9 and 3 halves
Numerator 6x - 18 = 6(x - 3)
Denominator x^2 - 5x + 6 = (x - 3)( x - 2)