Solve for X ???????????

Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wit

valkas [14]

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Step-by-step explanation:

Jan spends part of her year as a member of a gym.

She then finds a better deal at another gym so she cancels her membership with the first gym after x months
She spends the rest of the year, y months, with the second gym
The membership to the first gym costs $75 per month, while the membership for the second gym costs $45 per month
She ended up spending a total of $780 over the course of the year

We need to find how much time she spent at each gym

∵ She spent x months in the 1st gym

∵ She spent y months in the 2nd gym

∵ Her course is a year

- There are 12 months in a year

∴ x + y = 12 ⇒ (1)

∵ The membership to the first gym costs $75 per month

∵ The membership to the second gym costs $45 per month

∵ She ended up spending a total of $780 over the course

∴ 75x + 45y = 780 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -45 to eliminate y

∵ -45x - 45y = -540 ⇒ (3)

- Add equations (2) and (3)

∴ 30x = 240

- Divide both sides by 30

∴ x = 8

- Substitute the value of x in equation (1) to find y

∵ 8 + y = 12

- Subtract 8 from both sides

∴ y = 4

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

4 0

3 years ago

A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredien

joja [24]

Answer:

a. 5 represents the number of calories that come from other ingredients.

b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.

c. <em>c = 5.5</em>

Step-by-step explanation:

We are given the equation:

$4c + 5 = 27$

Where $c$ represents the grams of carbohydrates

27 is the total number of calories that are received by the granola bite.

4 is the number of calories from 1 gram of carbohydrates and

5 is the number of calories that are received from other ingredients.

Answer of Part a:

5 is the number of calories that are received from other ingredients.

Part b:

Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.

So, LHS becomes:

4 \times 8 + 5 = 37 $\neq RHS\ i.e.\ 27$

4 \times 3 + 5 = 17 $\neq RHS\ i.e.\ 27$

So, Priya is correct that neither 8 or 3 could be solution.

Part c:

$4c + 5 = 27\\\Rightarrow 4c = 22\\\Rightarrow \bold{c = 5.5}$

So, solution to the equation is: <em>c = 5.5</em>

8 0

3 years ago

Help: The equation is in the screenshot

Svetllana [295]

The graph of the function shows that function f(x) => ∞ as x = -∞ and f(x) =>-∞ as x = ∞. Option c is correct.

<h3>What is a graph?</h3>

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The curve of the function in the 2 quadrants is increasing when x tends to -∞ and in the quadrant, the curve f(x) is decreasing to -∞ as x tends to ∞.

Thus, the graph of the function shows that function f(x) => ∞ as x = -∞ and f(x) =>-∞ as x = ∞. Option c is correct.

Learn more about graphs here:

brainly.com/question/16608196

#SPJ1

8 0

2 years ago

suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A samp

Tema [17]

Answer:

3.33% per hour

Step-by-step explanation:

Use the A=Pe^rt equation. A is the end amount, so it's 1892. P is the original amount, 1700. E is a constant, around 2.72. R is the growth constant. T is the time that passed, 3 hours. You can substitute the givens into the equation and get 1892=1700e^(3r). Divide by 1700 to isolate the e. This leaves you with 1892/1700=e^(3r). Do the natural log of each side cancel the e and bring the exponent down. This leaves you with ln(1892/1700)=3r. Divide by 3 to isolate r. ln(1892/1700) is .1. .1/3 is .03333. Multiply by 100 to get a percent. 3.33 percent is your final answer.

8 0

3 years ago

Find the length of the arc.Round your answer to the nearest tenth

FrozenT [24]

Find the circumference:

Circumference = 2 x pi x radius

Circumference = 2 x 3.14 x 9 = 56.52 inches

the arc length is 45 degrees/360 degrees of the circumference.

Marc length = 56.52 x 45/360 = 7.065 inches

Rounded to the nearest tenth = 7.1 inches

6 0

2 years ago