Answer:
(C) x^3+11x^2+34x+24
Step-by-step explanation:
The volume of a rectangular prism is V=lwh
x+4=L
x+1=W
x+6=H
Thus:
(x+4)(x+1)(x+6)
(x^2+5x+4)(x+6)
x^3+5x^2+4x+6x^2+30x+24
x^3+11x^2+34x+24
Therefore, the correct answer is (C) x^3+11x^2+34x+24
Answer:
D. All three chose a valid first step toward solving the equation.
Step-by-step explanation:
Aaron, Blaine, and Cruz are solving the equation 4/7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the equation by 7/4 . Blaine started by using the distributive property to multiply 4/7 by both 7 and −n. Cruz started by dividing both sides of the equation by 4/7 .
Which of the following is true?
A. Blaine and Cruz made an error in picking their first steps.
B. Cruz made an error in picking his first step.
C. All three made an error because the right side equals -1.
D. All three chose a valid first step toward solving the equation.
Given:
4/7(7 - n) = -1
Aaron:
4/7(7 - n) = -1
Multiple both sides by 7/4
4/7(7 - n) * 7/4 = -1 * 7/4
7 - n = -7/4
- n = -7/4 - 7
- n = (-7-28)/4
- n = -35/4
n = 35/4
Blaine:
4/7(7 - n) = -1
4/7(7 - n) × 7 = -1 × 7
4(7 - n) = -7
28 - 4n = -7
-4n = -7 - 28
- 4n = - 35
n = -35/-4
n = 35/4
Cruz:
4/7(7 - n) = -1
Divide both sides by 4/7
4/7(7 - n) ÷ 4/7 = -1 ÷ 4/7
4/7(7 - n) × 7/4 = -1 × 7/4
7 - n = -7/4
- n = (-7-28)/4
- n = -35/4
n = 35/4
D. All three chose a valid first step toward solving the equation.
East= 45 x 22 = 990 students
west= 42 x 23 = 996 students
996 - 990 = 6 students
990 - 996 = -6 students
There are 6 more students at West school than East school. There are -6 more students at East school than West school.
Hope it helps!
Answer:
7/8
Step-by-step explanation:
