Answer:
Width is 12 inches and height is 4 inches.
Step-by-step explanation:
Let the width of the piece of cardboard be = w inches
Then length is = 
inches
As given, 4 inch squares are cut from each corner;
So, the width is = 
inches
Length is = 
inches
When we are folding the cut portion, that gives the height as = 4 inches
The volume is given by : length x width x height
And volume is given as 256 cubic inches
So, 
=> 
=> 
=> 
or 
=> 
=> 
We get , 
; w = -8(neglect the negative value)
; w = 12 inches
And length = 
inches
Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches
We can check by putting these values in equation :
=> 
=> 
Answer
33,33 and 22
Step-by-step explanation:
1) change 65% to a decimal = .65
2) .65 • 60 = 37.2 questions need to be right
3) since she got 42 correct, that is greater than 37.2, so she passed.
OR
1) 42/60 = 0.7
2) 0.7 to a percent = 70%
3) since she got a 70% on the test, she passed.
Remove parenthesis on m-2 because you don't need to distribute ( you have an invisible 1, but it won't change the values bc it's a one) Combine your like terms on the side you removed the parenthesis. m-2-5 -> m-7. Now on the other side distribute the 2 to the terms in the parenthesis. once you've done that your equation should look like this 8- 2m +8. now lets look at th full equation. m-7=8-2m+8 move the -2m to the other side, by adding. you now have an equation like this 3m- 7=16. move the -7 to the other side by adding. 3m=23. divide 23 by 3. you're answer should be m= 23/3
its best to leave your answer as a fraction.
Hope this helped. (:
