1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adelina 88 [10]
3 years ago
15

Anna plans a business model to compete with two video stores, where she hopes to draw in customers from one store but not lose m

oney on the deal.
Movie Mania charges a subscription fee of $30 and an additional $5 per movie, x. Movie Time charges a subscription fee of $25 and an additional $6 per movie, x.

Based on this information, which system of inequalities could be used to determine how many movies need to be rented for a customer on Anna’s plan, y, to pay her more than they would at Movie Time, but less than they would at Movie Mania?
Mathematics
2 answers:
babymother [125]3 years ago
4 0
Let x be the number of movies, m(x) be how much Movie Mania charges and t(x) be how much Movie Time charges and a(x) be Anna's plan.

<span>Movie Mania charges a subscription fee of $30 and an additional $5 per movie
</span>
m(x)=30+5x 

<span>Movie Time charges a subscription fee of $25 and an additional $6 per movie

</span>t(x)=25+6x 

<span>How many movies need to be rented for a customer on Anna’s plan, y, to pay her more than they would at Movie Time, but less than they would at Movie Mania?

That's 

</span>t(y) < a(y) < m(y) 

Expanding it out,

25+6y< a(y) < 30+5y 
  
Is there any room there?

25+6y  <  30+5y

y < 5

There's no possible plan that will do what Anna wants for 5 or more movies, because in that domain Movie Time costs more than Movie Mania.  She can squeeze in there between 1 and 4 movies.

I write the answer as:

25+6y< a(y) < 30+5y 

shepuryov [24]3 years ago
4 0

Answer:

The person below is right but they just explained it alittle oddly so I'll clarify for them because it is correct :)

y<5x+30/x

y>6x+25/x

Step-by-step explanation:


You might be interested in
In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.
Alona [7]

Answer:

f(x) = x^3 +5x^2-4x-20

Step-by-step explanation:

Given

Zeros: -5,-2,2

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

f(x) = (x - a)(x - b)(x - c)

So, we have:

Zeros: -5,-2,2

f(x) = (x - (-5))(x - (-2))(x - 2)

Open the inner brackets

f(x) = (x +5)(x +2)(x - 2)

Expand the difference of two squares

f(x) = (x +5)(x^2 - 4)

Expand

f(x) = x^3 +5x^2-4x-20

4 0
3 years ago
You need a loan of $135,000 to buy a home. Calculate your monthly payment and total closing costs for each choice below. Briefly
Ahat [919]
You need to multiply the four numbers and then takeway
6 0
3 years ago
84/12 = 28/x 1. x=4 2. X=28
yan [13]

Answer:

x = 4

Step-by-step explanation:

We can use cross products to solve

84/12 = 28/x

84 * x = 12 *28

Divide each side by 84

84x/84 = 12*28/84

x =4

5 0
3 years ago
At which x value will f(x)=3x+3 exceed g(x)=3x+10
Anvisha [2.4K]
We write an inequality:

f(x) > g(x)

3^x + 3 > 3x + 10

3^x > 3x + 7

This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.  3x+7 is a linear function while 3^x is an exponential one (with limit zero as x approaches - \infty).  We see that 3^x = 3x+7 at approximately x=2.4 and x=-2.3.

Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at x=2.42, -2.31.  By observing our graph, we see that f(x) > g(x) when x > 2.42 or x < -2.31.
3 0
3 years ago
Read 2 more answers
If you sleep 33% in a day, how many hours is that?
strojnjashka [21]
We know that
one day is equal to 24 hrs
so
33 % of the day is equal to
(\frac{33}{100} )*24 \\ =7.92 hrs

the answer is
7.92 hrs
5 0
3 years ago
Read 2 more answers
Other questions:
  • Translate the following phrase to a mathematical expression. Then, evaluate the expression for n = 5.
    12·1 answer
  • Point B is between points A and C. If AB = 3x -1, BC=9x+8, and AC=139, find the measure of BC
    5·1 answer
  • 7th grade math question please help me?!
    11·1 answer
  • A train ride covers a distance of 3 miles in 20 minutes what is the speed for the ride in miles per minute?
    10·1 answer
  • William had $45 dollars to spend on Vegetables. After buying 6 watermelons , he had $25.50 left .how much did each watermelons c
    10·1 answer
  • 202.01 has __________ significant figures * 1 point
    6·1 answer
  • Which expression best represents the product of quantities a, b, and H?
    12·1 answer
  • In the equation 9x2 - 4 = (px - t)(px + t), p and t are constants. What is the value of p + t?
    13·1 answer
  • Use the elimination method to solve the system of equations. Choose the correct ordered pair.
    8·1 answer
  • (repost) Help Please I will Give brainliest If Correct!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!