Answer:
Width is 14 ft, length is 28 ft
Step-by-step explanation:
We know that the length is twice as long as the width. This can be represented by L=2W.
The equation to solve this is 84=W+W+L+L. We can replace both the L variables with 2W, since that is what L equals.
84=W+W+2W+2W. We simplifiy to get 84=6W. We divide 84 by 6 and get W=14.
Now that we know the width, finding the length is easier. L=2(14). L=28 ft.
To check our math we can do 28+28+14+14. 56+28=84 ft.
Therefore, the width is 14 ft and the length is 28 ft.
Answer:
1 5/8 too short
Step-by-step explanation:
The cable on the truck is 18 and 3/8 ... to complete the fraction into a whole number we would need 5 more parts in order to complete the entire 8 parts of the fraction. This would make the cable a whole 19 feet. Since Ryan needs 20 ft, this would leave us needing 1 more foot. Therefore, the cable in the truck is
1 5/8 too short
Answer:
Well, how many were left over? Mrs. Adams has a muffin factory and made 1 million muffins. Carl ate 2/5 or 40% or 400,000 muffins, and John ate 25. 599,975 muffins were shipped for sale. That meets the stated requirements.
Hence, we have to guess there were supposed to be no muffins left over.
In that case, Mrs. Adams baked 125/3 muffins, Carl ate 2/5 of them = 50/3, leaving 75/3 = 25 for John.
Step-by-step explanation:
x muffins baked, 2/5 eaten by Carl, 3/5 left to be eaten by John, who ate 25 before running out.
3/5 x = 25
x = 25 × 5/3 = 125/3 = 41 + 2/3
Or, Start with x muffins. Carl ate 2/5 x, leaving 3/5 x. John ate 25 with zero left over. So 3/5 x = 25.
(x - 2/5 x) - 25 = 0
3/5 x = 25
x = (5/3) × 25 = 125/3.
Arrange the factors of the product so that when added you get the sum:
1. The factors of 15 are 3 and 5 or 1 and 15. You are looking for the pair that is two apart, which are 3 and 5. Because they add up to be negative 2, 5 must be negative, so the two numbers you get are 3 and -5. The rest can be solved similarly:
2. (Out of 1 and 32, 2 and 16, and 4 and 8, only 4 and 8 works) -8+4=-4, -8*4=-32
3. (Out of 1 and 14, and 2 and 7, only 2 and 7 works) -7+2=-5, -7*2=-14
4. (Out of 1 and 24, 2 and 12, 3 and 8, and 4 and 6, only 3 and 8 works) -3+8=5, -3*8=-24.
