5) Solve for x,
107 + 44
8x -23

To start off, lets label this triangle ABC where A is the top right vertical, the top left verticle is B, and the bottom one is C. Now lets label the 2 points of intersection from the line segment 8x-23 D and E where the left intersection is E and the right is D.

Notice how CE and AE have an arc and that AC was split to get AE and CE. The 2 arcs show us that the intersection E is located at half the line segment.

This is the same on the other line segment BC. So if E and D are half of those line segments then the line segment ED must be half of the parallel segment above it. Because this is true, 2(8x-23)=10x+44

Now we have an equation and we can solve:

2(8x-23)=10x+44

16x-46=10x+44

6x-46=44

6x=90

x=15

Step-by-step explanation:

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200