Green's Gym charges a one-time application fee of $50 plus $30 per session for a personal trainer. Breakout Gym charges an annual fee of $250 plus $10 for each session with a trainer. For how many sessions is the cost of the two plans the same? Write and solve an equation to represent this problem. Make sure to create a let statement: Example: Let s = number of gym sessions.

10 sessions

Step-by-step explanation:

let s be the number of gym session

and let y be the cost

the cost can be represented as

y=ms+c

given data

Green's Gym

c=$50

m=$30

y=30s+501

Breakout Gym

c=$250

m=$10

y=10s+2502

equating 1 and 2 we can find s, which is the number of session

30s+50=10s+250

30s-10s=250-50

20s=200

s=200/20

s=10

     therefore the number of session is 10

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!