Let's have x be the number of children tickets and 2x will be the adults. Now we can set up the following equation:
5.4x+8.9(2x)=626.4
Expand this out:
5.4x+17.8x=626.4
Combine like terms:
23.2x=626.4
Divide both sides by 23.2 to get x=27
Answer:
![x = y - 3](https://tex.z-dn.net/?f=x%20%3D%20y%20-%203%20)
![x = - (y + 1) y \geqslant 1](https://tex.z-dn.net/?f=x%20%3D%20%20-%20%28y%20%2B%201%29%20%20%20y%20%5Cgeqslant%201)
<em>Hope</em><em> </em><em>this is</em><em> </em><em>correct</em><em> </em><em>and</em><em> </em><em>helpful</em><em> </em>
Step-by-step explanation:
I suppose that this is the graph
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Three machines fill 40 boxes in an hour. One machine can fill 40/3 boxes in an hour. Following the second part of the problem, one machine would take 150/40/3 = 11.25 hours to fill 150 boxes. Machines and time are inversely proportional. Then, it would take 11.25 * 1/5=2.25 hours for 5 machines to fill 150 boxes.
Answer: ![12\sqrt{2}\ in](https://tex.z-dn.net/?f=12%5Csqrt%7B2%7D%5C%20in)
Step-by-step explanation:
By definition a 45°, 45° and 90° is known as "Isosceles right triangle". This is an special type of triangle that has two congruent legs (which means that it has two legs that have equal length).
Then, for this case you need to use the following formula:
![L=\frac{1}{2}H\sqrt{2}](https://tex.z-dn.net/?f=L%3D%5Cfrac%7B1%7D%7B2%7DH%5Csqrt%7B2%7D)
Where "L" is the length of any leg and "H" is the hypotenuse of the triangles.
In this case you know that:
![H=24\ in](https://tex.z-dn.net/?f=H%3D24%5C%20in)
Then, knowing the value of "H", you can substitute it into the formula and then you must evaluate in order to find the value of "L".
Therefore, you get the following result:
![L=\frac{1}{2}(24\ in)\sqrt{2}\\\\L=12\sqrt{2}\ in](https://tex.z-dn.net/?f=L%3D%5Cfrac%7B1%7D%7B2%7D%2824%5C%20in%29%5Csqrt%7B2%7D%5C%5C%5C%5CL%3D12%5Csqrt%7B2%7D%5C%20in)