Answer:
B) 3x^3 + 24x^2
Step-by-step explanation:
The volume of a pyramid is 1/3 the product of the base area and the height. The base is square, so its area is the square of the side dimension.
V = (1/3)(3x)^2(x+8) = 3x^2(x +8)
V = 3x^3 +24x . . . . . matches B
Answer:
60 gallons
Step-by-step explanation:
We can create a ratio for this. If we consider 2 as the 1 in the ratio, we have a ratio of 1 : 2.5. Therefore, we just need to multiply 24 by 2.5, which equals 60.
Answer:
62 and 64
Step-by-step explanation:
Let x be the first number
Let y be the 2nd number
Given,
x + 2 = y (Consecutive even numbers)
x - y = -2 (rearranged) - Equation 1
x + y = 126 - Equation 2
Now we can solve for x and y to find the 2 numbers by using substitution method in solving simultaneous equations.
x = y-2 (rearranged equation 1)
Now we substitute equation 1 into equation 2.
y - 2 + y = 126
2y - 2 = 126
2y = 126 + 2
2y = 128
y = 128 / 2
= 64
Now we will substitute y into equation 1.
x - 64 = -2
x = -2 + 64
= 62
Therefore the 2 numbers are 62 and 64.
Answer:
Its the first option.
Step-by-step explanation:
120 is not a perfect square.
Its close to one though - 121 is a perfect square ( 11 * 11 = 121).