Answer:
- large: 40 lbs
- small: 20 lbs
Step-by-step explanation:
A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.
Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...
L + S = 60 . . . . . . combined weight is 60 lbs
70L +60S = 4000 . . . . weight of boxes in the truck
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We can solve this by substituting for s in the second equation.
70L +60(60 -L) = 4000
10L = 400 . . . . . . . . . subtract 3600, simplify
L = 40
S = 60 -L = 20
A large box weighs 40 pounds; a small box weighs 20 pounds.
Find the rate of travel; it's distance divided by time:
252 miles
-------------- = 56 mph (answer)
4.5 hrs
It is 180 because it rotates
Answer:
JL = 70
Step-by-step explanation:
Since K is the midpoint of JL then JK = KL and
JL = JK + KL = 9x - 1 + 2x + 27 = 11x + 26
solve for x using JK = KL
9x - 1 = 2x + 27 ( subtract 2x from both sides )
7x - 1 = 27 ( add 1 to both sides )
7x = 28 ( divide both sides by 7 )
x = 4, hence
JL = 11x + 26 = (11 × 4 ) + 26 = 44 + 26 = 70
5.000or just 5
Hope this helps
