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.
Simplify Radicals of √200
Rewrite 200 as 10² *2
Factor 100 out of 200
√100(2)
Rewrite 100 as 10²
Pull terms out from under the radical.
10√2
The result can be written in both exact and decimal forms.
Exact Form
10√2 is your Answer
Decimal Form
14.14213562....
Answer:
6) 9216π
8) 24
Step-by-step explanation:
6)
V= 2/3πr³
r = 48/2 = 24
V = 2/3π24³
V = 9216π
8)
V = 4/3πr³
2304π = 4/3πr³
r³= (2304π)/4/3π
r³= 1728
![\sqrt[3]{r^3} =\sqrt[3]{1728}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Br%5E3%7D%20%3D%5Csqrt%5B3%5D%7B1728%7D)
r = 12
D = 2r
D = 2 x 12 = 24
Answer:
b. 3
Step-by-step explanation:
