Step-by-step explanation:
1.) Begin by converting 2 yards into feet.
There are 6 feet in two yards, and 3 feet in one.
2.) Now that we have converted that, we can compare each length better.
3.) Take 6 feet and divide it by 10.80. You will get 0.55, or 55 cents.
4.) Now, take 12 feet and divide it by 24.60. You will get 0.48, or 48 cents.
5.) When you divide these numbers, you are seeing how many cents per foot of twine.
6.) Now, compare .55 and .48, or subtract the two. That will be 7 cents, or 0.07.
The difference is 7 cents, and 12 feet of twine for $24.60 is the better deal, as it costs less for more.
Answer:
D. -5, -3
Step-by-step explanation:
-10 / 1/2 = -5
-6 / 1/2 = -3
also / means divided
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Answer:
Step-by-step explanation:
If you can mow a lawn in 2 hours, then you get 1/2 of the job done in 1 hour.
If your friend can mow the same lawn in 3 hours, then he can get 1/3 of the job done in 1 hour.
The equation for the time it would take for both of you to do the job together, then, is

where x is the number of hours it takes for both of you to do this job. Get rid of the denominators to solve for x. Do this by multiplying everything by the LCD, which is 6x.
which simplifies to
3x + 2x = 6 and
5x = 6
x = 6/5 or 1 1/5 hours
Answer:
- a = 1.11
- B = 105.4°
- c = 2.95
Step-by-step explanation:
B = 180 -A -C = 105.4 . . . . sum of angles in a triangle is 180°
__
The missing side lengths can be found from the Law of Sines:
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 2.46·sin(21.2°)/sin(53.4°) ≈ 1.11
Likewise, ...
b = c·sin(B)/sin(C) = 2.46·sin(105.4°)/sin(53.4°) ≈ 2.95