Answer:
Step 3
Step-by-step explanation:
Given

Required:
Determine the first step where she made mistake
Her Step 1:
--- This is correct because she solved the bracket first
Her Step 2:
--- This is correct because she solved 3^2 as 9
Her Step 3:
--- This is incorrect because 23 * 4 is not equivalent to 9 * 4
Hence, her first mistake is in step 3.
The correct expression would have been

Then

Answer:
x = 10
Step-by-step explanation:
Solve for x:
-8 (8 - x) = (4 (x + 10))/5
Multiply both sides by 5:
-8×5 (8 - x) = (5×4 (x + 10))/5
(5×4 (x + 10))/5 = 5/5×4 (x + 10) = 4 (x + 10):
-8×5 (8 - x) = 4 (x + 10)
5 (-8) = -40:
-40 (8 - x) = 4 (x + 10)
Expand out terms of the left hand side:
40 x - 320 = 4 (x + 10)
Expand out terms of the right hand side:
40 x - 320 = 4 x + 40
Subtract 4 x from both sides:
(40 x - 4 x) - 320 = (4 x - 4 x) + 40
40 x - 4 x = 36 x:
36 x - 320 = (4 x - 4 x) + 40
4 x - 4 x = 0:
36 x - 320 = 40
Add 320 to both sides:
36 x + (320 - 320) = 320 + 40
320 - 320 = 0:
36 x = 40 + 320
40 + 320 = 360:
36 x = 360
Divide both sides of 36 x = 360 by 36:
(36 x)/36 = 360/36
36/36 = 1:
x = 360/36
The gcd of 360 and 36 is 36, so 360/36 = (36×10)/(36×1) = 36/36×10 = 10:
Answer: x = 10
Let the side of the cube=a
So the volume will be=V=a³
Then surface area of the cube will be=6a²=
= 
The above expression showing surface area as a function of Volume. (Answer)
Answer:
D. 2 1/6
Step-by-step explanation:
To visualize the problem easier, start by converting all the fractions to improper fractions, this will allow you to just add the denominators and simplify the question:
1/6, 5/6, 1 3/6 —> 1/6, 5/6, 9/6
Now that the sequence is rewritten, you can simply add 4 to the numerator, which equals 13/6.
Rewrite this again by finding how many times 6 goes into 13, and use the remainder as the numerator of the new fraction, which will end up as 2 1/6.