The required inequality is 
<em><u>Solution:</u></em>
Given that,
Cost of 1 cap = $ 5
Cost of 1 t-shirt = $ 10
Let "x" be the number of caps sold
Let "y" be the number of t-shirts sold
The drama club needs to raise at least $500.00 for the trip
Based on this information, we can frame a inequality as:
number of caps sold x cost of 1 cap + number of shirts sold x cost of 1 shirt 
500
Which means,
Here we used "greater than or equal to" symbol , because club needs to raise at least $ 500
They can raise 500 or more than $ 500 also
Thus the required inequality is
The reason you can only compare the numerators is because the denominators are the same- leaving little comparison to really make. The numerators will determine which fraction is greater or smaller.
Ex. 4/5 or 3/5
which is greater? Which is smaller?
It can be seen that the denominators are the same, now finally comparing the numerators will answer both questions.
please vote my answer brainliest. thanks!
I'm pretty sure that the answer is 13/40
This problem is about adding up the surface area of all of the surfaces he will paint and then dividing it by 200 to find how many gallons he will need to buy. Since he won't paint his roof, we need to find the surface area of every square foot that he will paint. So to do this it is just doing the area formula A=L*W for rectangles, and A=1/2*H*W, for the triangles. So he will paint 2 triangular spaces, the front and the back, plus he will paint 4 rectangular walls. So let's do the very front section first. When looking straight at the front u see a rectangle and a triangle. So let's find the area of both. The rectangle we need to plug in the length, or in other words the height, which is 8 feet. The width is 12 ft. So what is 8 times 12? It is 96 sq. ft. So 96 square feet is the front rectangle. There is another rectangle on the back of the shed that's the same dimensions that he will paint, so instead of doing that again we can just multiply 96 sq ft by 2, which is 192 sq ft. Now let's do the 2 triangles he will paint. Both of the triangles are the same exact dimensions, so what we do is plug the numbers in, the height is 4 ft. So it looks like 1/2 * 4 ft * 12 ft. 1/2 of 4 is 2, so multiply 2 by 12, which equals 24. So one of the triangles has 24 sq ft, but since there is another one on the back side that he will paint, we multiply that by 2 to save time. This will equal 48 sq ft. Now all we have to do is the other two walls on the sides. This is the same formula, A= L*W. so length is the same as the other 2 rectangles because they are the same height, so the length is 8 ft. And the width is 20 ft. What is 20 times 8? 20 times 8 is 160 sq ft. Since there is another wall just like that on the other side, we multiply that by 2 to get 320 sq ft. Now we add all of it up. 320+ 48+ 192= 560 sq ft. So he will paint 560 sq ft. What is 560 divided by 200? It will be 2.8, so he will have to buy 2.8 gallons of paint. Since you can't buy 2.8 gallons of paint, he will really buy 3 gallons, so he will have some left over. Since 1 gallon cost $48, we will need to multiply 48 by 3, to give us 144. So he will spend $144 on paint to paint his shed. I hope this helps
Answer:
The graph approaches –3 as x approaches infinity. Option a is correct.
Step-by-step explanation:
The given function is
We have to find value of function as x approaches infinity. Take limit both sides as x approaches to infinity.
Taking x common from the denominator.
Cancel out common factor x.
Apply limits.
Therefore the graph approaches –3 as x approaches infinity.
