Ellie has a points card for a movie theater. She receives 50 rewards points just for signing up. She earns 10.5 points for each visit to the movie theater. She needs at least 190 points for a free movie ticket. What is the least number of visits she needs to make in order to earn a free movie ticket?

14 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Signup rewards = 50 points

Each visit reward = 10.5

Total points needed = 190

Let, number of visits = x

So, we can calculate number of visits by using following formula,

50 + (10.5 × X) = 190

10.5X = 190 - 50

10.5X = 140

X = 140 ÷ 10.5

X = 13.33 or 14 visits.

Hence, she needs to make 14 visits in order to earn a free movie ticket.

hi! i think the answer is 1/2 : )

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb