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Alina [70]
3 years ago
5

Streaming movies from Company A costs $3 per movie plus a monthly fee of $9. Streaming movies from Company B costs $4 per movie

with no monthly fee. The monthly cost to stream movies depends on the number of movies, m streamed. Which inequality represents the situation when the monthly cost at Company A is less than the monthly cost at Company B?
A) 3m + 4 > 9m
B) 3m + 9 < 4m
C) 3m + 9 > 4m
D) 3m + 4 < 9m
Mathematics
2 answers:
wariber [46]3 years ago
6 0
The answer is letter B
Angelina_Jolie [31]3 years ago
4 0

Answer: B) 3m + 9 < 4m

Step-by-step explanation:

Hi, to answer this question we have to write an equation for the total cost of each case using the information given:

Company A: To obtain the total cost at company A we have to multiply the number of movies streamed (m ) by the cost of each movie (3) and add the monthly fee(9)

A=3 m+ 9

Where m is the number of movies streamed.

Company B:  

B= 4m  

If the monthly cost at Company A is less than the monthly cost at Company B, it means that the cost at company B Is more than the cost at company A.

3m+9 <4m

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Step-by-step explanation: Using the place value chart, we can see that the decimal 0.32 is thirty-two hundredths so we can write 0.32 as 32/100.

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Step-by-step explanation:

  1. First we need to find the distance for the first segment using the formula for distance D=\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}. Let's say (x_{1},y_{1}) is (0, 0) and (x_{2},y_{2}) is (33, 56). This gets us that the length of this segment is 65 miles.
  2. Next, we need to find the distance for the second segment. Using the same formula for distance  D=\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}, we can say (x_{1},y_{1}) is now (33, 56) and (x_{2},y_{2}) is now (23, 32). This gets us that the length of this segment is 26 miles.
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