The volume of a box like this is found by multiplying the length times the width times the height. We are told that the length is 8 more inches than the width, so the width is w and the length is w + 8. If we cut away 3 square inches from each corner, the height when we fold up those corners is going to be 3. The volume is given as 27, so our formula looks like this:

. When we do that multiplication, we have

. We need to solve for w so we can then solve for h. Move the 27 over and set the quadratic equal to 0.

. We can then factor out a 3 to make the job easier:

. Now we can factor to solve for w. The 2 numbers that add up to 8 and multiply to -9 are 9 and -1. So (w+9) = 0, (w-1) = 0, or 3 = 0. Of course 3 doesn't equal 0, so that's out. w + 9 = 0 so w = -9. w - 1 = 0 so w = 1. There are 2 things in math that can never EVER be negative and those are time and distance/length. So -9 is out. That means that w = 1. But don't forget that there was 6 inches cut off each side, so the width is 1 + 3 + 3 which is 7. The length is w + 8 which means that the length is 7 + 8 or 15. Those are the dimensions of the rectangle before it was cut.
Answer:
x = 12
y = 11
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Step-by-step explanation:

Answer:
3 values of postivity is Optimistim, Kindness, and an open mind/Growth mind set.
Step-by-step explanation:
Answer:
1) 144 seconds
2) 12
3) 24
Step-by-step explanation:
1) First off how many times can 15 dived into 90? 6! So we know it <em>can</em> go into 90 and that it's by 6. Next is to add 24 (seconds) 6 times. This will lead you too 144. So 144 seconds is your awnser
2) All you have to do is dived 72÷6. Which gives you the amount of each pack .
3) You take the total of step number two and 288 earsers and dived. so 288÷12=24
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Answer:
Jenny Question Answer: 4 over 50
Jake Question Answer: 20 beads are red
Step-by-step explanation:
Jenny: She pulled a purple tile 4 times when there is 50 tiles in the bag
Jake: 6 of the 15 beads are red. 6/15 = 2/5 = 40% are red. Take the percent times the total number of beads. 40 * 50 = 20.
20 of the beads are red
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