Josh has a rewards card for a movie theater. - he receives 15 points for becoming a rewards card holder. - he earns 3.5 points for each visit to the movie theatre. - he needs at least 55 points to earn a free movie ticket. which inequality can josh use to determine x, the minimum number of visits he needs to earn his firs free movie ticket?

a 3.5x+15≥553.5x+15\ge553.5x+15≥55

b 3.5+15x≥553.5+15x\ge553.5+15x≥55

c 3.5+15x ≤ 553.5+15x\ \le\ 553.5+15x ≤ 55

d 3.5x+15 ≤ 553.5x+15\ \le\ 553.5x+15 ≤ 55

Option A. 3.5x + 15 ≥ 55

Step-by-step explanation:

Points Rosh received for becoming a member = 15

Points Rosh received for visiting the moving theater = 3.5

Total points needed for a free movie ticket = 55

For each visit he receives 3.5 points, so for x visits he will receive 3.5x points.

Total points = Points received on becoming a member + Points received on x visits

So,

Total Points = 15 + 3.5x

These points must be at least 55 for a free movie ticket. At least means equal to or greater than. So the total points must be equal to or greater than 55 in order to earn a free movie ticket. This can be expressed as:

3.5x + 15 ≥ 55

So, option A gives the correct answer

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.

to find the perimeter, you add up all the lengths of the sides. in this case you would have to add up 18+22+40+80 which equals 160.