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so is how I would solve this is one corner at a time. Since these are all triangles you will solve the area of a corner and divide it by 2. Then you will have the area of a corner.
(7.5 x 5) /2= 18.75
(7.5 x 14) /2=52.5
Mirror this on the other side because they are the same on the other side and then add them all together
(18.75 x 2) + (52.5 x 2) = 142.5
Answer is A
142.5
Answer:
15/7
Step-by-step explanation:
15/7
15 of 7 is the same as 15 out of 7, or 15/7
<em>I hope this helps! :)</em>
Let a, b, and c be the times each pump will fill the tank when working alone.
Therefore, in 1 hour;
1/a +1/b = 1/(6/5) = 5/6 ---- (1)
1/a+1/c = 1/(3/2) = 2/3 ---- (2)
1/b+1/c = 1/(2) = 1/2 ---- (3)
From equation (1)
1/a = 5/6-1/b
Substituting for 1/a in eqn (2)
5/6-1/b+1/c = 2/3
-1/b +1/c = -1/6 => 1/c = 1/b - 1/6 --- (4)
Using eqn (4) in eqn (3)
1/b+1/b-1/6 = 1/2
2/b-1/6 = 1/2
2/b =1/2+1/6 = 2/3
1/b = 1/3
Then,
1/c = 1/3 - 1/6 = 1/6
1/a = 5/6 - 1/3 = 1/2
This means, in 1 hour and with all the pumps working together, the tank will be filled to;
1/a+1/b+1/c = 1/2+1/3+1/6 = 1 (filled fully).
Therefore, it will take 1 hour to fill the tank when all pumps are working together.
Answer:
y = -2x - 8
Step-by-step explanation:
The slope is -2 and the y-intercept is (0,-8).
Plug into the slope-intercept equation: y = mx + b.
10/3 = x / 12.....$ 10 to 3 lbs = $ x to 12 lbs
cross multiply
3x = 120
x = 120/3
x = 40....so it is gonna cost Sylvia $ 40 for the meat.
she plans on making 50 burgers......40 ($ worth of meat) / 50 (burgers) =
0.8....so for each burger, the meat will cost 0.80 or 80 cents <==