PLEASE HELP 15. There are 24 more students in the seventh grade class than the number g in the eighth grade class. The seventh grade class has 160 students. Write and solve an equation to find the number of students in the eighth grade class.

16. You rent a canoe for $5 per hour. Your cost before the tax is added is $12.50. Write and solve an equation to find the number of hours that you rented the canoe.

17. The cost (in dollars) of making n birthday cakes is represented by
C = 24n + 35
How many birthday cakes are made when the cost is $395?

15. equation: g+24=160, and the answer is g=136

16. equation: 5d=12.50, answer is d=3.5 hours

17. 15 cakes are made when the cost is $395

Step-by-step explanation:

15: You know that there are 160 students in 7th grade. This would be on one side of the equal sign. You know that there are 24 more students in the 7th grade class than the 8th grade class. And we know that g represents the number of students in the 8th grade class. So you set up your equation as g+24=160. You would subtract 24 from both sides: g+24-24=160-24, which gives you g=136.

16: You spend $5 an hour, so, on one side, you will have 5. On the other you will have $12.50. We will let d represent dollars, and it will go with the 5 to give us 5d. The equation is 5d=12.50. From there, you will divide 5 from both sides: 5d/5=12.50/5, which gives you d=3.5.

17:  So, we have the equation, and we just plug in what we know. So, $395=24n+35. From there, we will subtract 35 from both sides. That would give us $395=24n and we will divide 24 from both sides to give us n=15 cakes.

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.