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
chubhunter [2.5K]
2 years ago
8

Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a

set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. The system of equations models the total costs for each.
y = 7.5x

y = 5.5x + 10

1. Substitute: 7.5x = 5.5x + 10

How many classes could Anna take so that the total cost for the month would be the same?

classes

What is the total monthly cost when it is the same for both gyms?
Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0

The number of classes Anna can take so the total cost for the month will be the same is 5.

The monthly cost would be  $37.50.

<h3>When would the total cost be the same?</h3>

When the monthly cost is equal, both equations would be equal: 7.5x = 5.5x + 10

In order to determine the value of x, take the following steps:

  • Combine similar terms: 7.5x - 5.5x = 10
  • Add similar terms: 2x = 10
  • Divide both sides by 2 : 10 /2 = 5

Monthly cost when the cost is the same: 7.5 x 5 = $37.50

To learn more about cost, please check: brainly.com/question/25711114

#SPJ1

You might be interested in
What is standard form for this equation?
Sauron [17]

y−y1=m(x−x1)=
Slope intercept form: y=2/3x−16/3
6 0
3 years ago
Read 2 more answers
NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t
Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t^2+121t+283

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

h(t)=0\implies-4.9t^2+121t+283=0

Using the quadratic formula, the solution for our problem is

\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

h^{\prime}(t)=-9.8t+121

The root is

-9.8t+121=0\implies t=\frac{121}{9.8}=12.347

Then, the maximum height is

h(12.347)=1029.99

1029.99 meters above sea level.

6 0
1 year ago
The Morris family bought 3 crates of eggs last week. Each crate had 18 eggs. Since then, they have eaten 25 of the eggs. How man
zzz [600]

Answer:

29

Step-by-step explanation:

3 x 8 = 54 - 25 = 29

5 0
3 years ago
Amrita bought a new delivery van for $32,500. The value of this van depreciates at a rate of 12% each year. Write a function f(x
FrozenT [24]

Answer:

The function, f(x) to model the value of the van can be expressed as follows;

f(x) = 32,500 \times \left(0.88\right)^x

Step-by-step explanation:

From the question, we have;

The amount at which Amrita bought the new delivery van, PV = $32,500

The annual rate of depreciation of the van, r = -12% per year

The Future Value, f(x), of the van after x years of ownership can be given according to the following formula

f(x) = PV \cdot \left(1 + \dfrac{r}{100} \right)^x

Therefore, the function, f(x) to model the value of the van after 'x' years of ownership can be expressed as follows;

f(x) = 32,500 \cdot \left(1 - \dfrac{12}{100} \right)^x = 32,500 \cdot \left(0.88\right)^x

8 0
3 years ago
F(x) = 2/x, g(x) = |x| -1 <br><br><br> What is the domain of (fog) (x)?<br><br> will mark brainliest
brilliants [131]

Answer:

x≠-1,1

Step-by-step explanation:

f(g(x)) is a composition where g(x) is is substituted for x in f(x).

Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.

|x|-1=0

|x|=1

x=1,-1

3 0
3 years ago
Other questions:
  • Hello! This is my first question ever. I am in AP Calculus and am working on a redo. I know the correct answer but don't know ho
    10·1 answer
  • Which of the following expressions is correct?
    6·1 answer
  • In 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,
    12·1 answer
  • Decompose 35×10 to get an answer of 350
    8·2 answers
  • Which matrix represents the system of equations shown below?<br> 8x-3y = 9<br> 2x + 5y = -7
    6·2 answers
  • Evaluate the expression for 2x+3 for x = 7
    6·1 answer
  • Describe each
    8·1 answer
  • Find the value of xxx in the isosceles triangle shown below. Choose 1 answer:
    13·1 answer
  • 2 1 Add the expressions 4- b +-a and a +-6-7. What is the simplified sum? 3 4 2 6 14 5 Q+b-3 6 3 1 b-3 2 4 3 5. a+2b-3 4 6 5 1 -
    7·1 answer
  • A rectangular pool is 10 meters wide and 16 meters long.What is the area of the pool? What is asked?What are given?What is/are t
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!