Answer:
168/(x² +7x)
Step-by-step explanation:
The height of each window is 14/(x+7), and the width of each window is 12/x. The area of each window is the product of its height ans width:
area = (14/(x+7))(12/x) = 168/(x(x +7))
area = 168/(x² +7x)
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<em>Comment on the problem</em>
There is not enough information given to determine suitable values for x. If x is 42, each window is a square 3 3/7 inches on a side.
X² <span>+ 11x = -28
to find the solution of this polynomial, it'll be easiest to try and factor it. the first thing you need to do is move everything to one side:
</span>x² + 11x = -28 ... add 28
x² + 11x + 28 = 0 ... factor
(x + 7)(x + 4) = 0 ... now set both of your factors equal to zero and solve for x
x + 7 = 0
x = -7
x + 4 = 0
x = -4
The question is a little confusing, so bare with me.
The part that throws me off is the "same number of girls and boys". Does each individual group need the same amount of girls to boys, or does each group need the same amount of girls and boys as the other groups? I'm assuming it's the latter, as "all of the children are in a group, but I'll solve it both ways.
The first way, there can only be twelve groups. A boy and a girl in each group so it's equal, and 24 boys sit out.
The second way, the answer is 16. Each group will have two boys and one girl. So each group will have three kids. 12 plus 36 is 48, and 48 divided by 3 is 16.
Hope this helped, and feel free to ask more questions.
The line below are parallel so they have same slopes
If the green line has a slope of -1/2, the slope of the red line is also - 1/2
Answer
-1/2
Answer:
Step-by-step explanation:
Let b represent the number of beams.
Let c represent the number of connector plates.
Each aluminum piece is either a beam, which weighs 100 kg, or a connector plate, which weighs 2 kg. The total weight of b beams and c connector plates would be
100b + 2c
The boat must carry aluminum pieces for a construction project that weighs, in total, no more than 50,000 kilograms. Therefore, the equation becomes
100b + 2c ≤ 50000
