Michael has a points card for a movie theater. He receives 70 rewards points just for signing up. He earns 8.5 points for each visit to the movie theater. He needs at least 165 points for a free movie ticket. What is the least number of visits he needs to make in order to earn a free movie ticket?

Answer

The true least number of visits is the lowest whole number above 11.176470..., which is 12.

Step-by-step explanation:

points per visit, # of visits + sign-up points ≥ free tickets points

8.5 (points per visit)  

70 (# of visits)

165 (free ticket points)

8.5v ≥ 70 + 165

70 + 8.5v ≥ 165

8.5v ≥ 165 -70

8.5v/8.5v ≥ 95/8.5

v ≥ 11.1764705882

The true least number of visits is the lowest whole number above 11.176470..., which is 12.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

4.5%

step-by-step explanation: