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Gre4nikov [31]
3 years ago
9

At one gym there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the gy

m costs $22. After how many months will the cost of both gyms be the same?
Mathematics
2 answers:
o-na [289]3 years ago
7 0

Answer:

after 6 months

Step-by-step explanation:

12 + 20(6) = 132

22(6) = 132

they are equal

melomori [17]3 years ago
5 0

Answer:

Step-by-step explanation:  Answer: it will take 6 months for both gyms to cost the same.

Step-by-step explanation:

Let m represent the number of months that it will take for the cost of both gyms be the same.

At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. This means that the total cost for m months is

12 + 20m

At another gym, each month at the gym costs $22. This means that the total cost for m months is 22m

For both costs to be the same, the number of months would be

12 + 20m = 22m

22m - 20m = 12

2m = 12

m = 12/2 = 6

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La dirección del Colegio Montes y los padres de familia están organizando un viaje cultural a Guanajuato para los alumnos de seg
notsponge [240]

Answer:

x + y = 47 (eqn 1)

x + 2y = 79 (eqn 2)

Solving the simultaneous equation,

The hotel has 15 single rooms and 32 double rooms.

Step-by-step explanation:

English Translation

The management of Colegio Montes and the parents are organizing a cultural trip to Guanajuato for second grade students and their teachers. Students will sleep in double rooms and teachers in singles. The hotel has double rooms (2 beds) and single rooms (1 bed), totaling 47 rooms and 79 beds. To confirm if they can be accommodated, they want to know how many rooms there are of each type. If "x" denotes single rooms and "y" denotes double rooms, Write the system of equations that represents the situation: Equation that represents the number of rooms (1) Equation that represents the number of beds (2)

Solution

The number of single rooms = x

The number of double rooms = y

The number of beds in single rooms = x

The number of beds in double rooms = 2y

Total number of rooms = 47

Total number of beds = 79

Sum of single and double rooms = Total number of rooms

x + y = 47 (eqn 1)

Sum of the beds in the single rooms and the beds in the double rooms = Total number of beds

x + 2y = 79 (eqn 2)

Writing the equations together

x + y = 47 (eqn 1)

x + 2y = 79 (eqn 2)

Solving the equations simultaneously,

x = 15, y = 32

Hence, the hotel has 15 single rooms and 32 double rooms.

Hope this Helps!!!

6 0
2 years ago
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $j fare
Ipatiy [6.2K]

Total  friends = 3

fare = $ J

She also paid $5 tip

So there is J amount of money splitted into 3 friends.

That means you divide J/3 .

After Angela also  pays additional tip of $5.

That means you also add 5.

So the expression for how much Angela pay in total is: J/3 + 5

3 0
3 years ago
2/3 - 4x + 7/2 = -9x + 5/6 need help asap please!
fiasKO [112]

Answer:

X= Negative 2/3 or -0.6

Step-by-step explanation:

here you go

3 0
3 years ago
How do i solve for the x????
Tpy6a [65]
You could try and multiply I believe so .
5 0
2 years ago
Read 2 more answers
Can someone help me please? Use the linear combination method to solve the system of equations. Pretty please show your work and
Pavel [41]

Answer:

  (x, y) = (4, -3)

Step-by-step explanation:

  • x-3y=13
  • 2x+4y=-4

First of all, look at the given equations. Here, we see that the second equation has coefficients that all have a factor of 2. If we divide that out, we get an equation that has an x-coefficient of 1, matching the x-coefficient in the first equation.

Here is the reduced second equation:

  x +2y = -2

Now, if we subtract one equation from the other, the variable x will be eliminated. We want to choose that subtraction wisely.

We note that the y-coefficient in the first equation is less than that in the second equation. If we subtract the first equation from the second, the result will have a positive y-coefficient:

  (x +2y) -(x -3y) = (-2) -(13)

  5y = -15 . . . . . . . . . . . . . . . . simplify. Note that the x-variable is eliminated, which is the purpose of this exercise.

  y = -3 . . . . . . . divide by 5

We can use this value in the reduced second equation to find the value of x:

  x +2(-3) = -2

  x = 4 . . . . . . . . . add 6 and simplify

The solution is (x, y) = (4, -3).

_____

I find a graphing calculator provides an easy and reliable check of the answer.

_____

<em>Comment on linear combination</em>

This method is often called "elimination," because the purpose of combining the equations in a particular way is to eliminate one of the variables. This requires you look at the coefficients of the variables and devise a plan to combine them so the resulting coefficient for one of the variables is zero.

In the worst case, you can combine ...

  • ax +by = c
  • dx +ey = f

by multiplying the second equation by <em>a</em> and the first by <em>-d</em>:

  a(dx +ey) -d(ax +by) = a( f) -d(c)

  y(ae -bd) = fa -cd . . . . . . simplify; x is eliminated

This sort of approach results in a formula for the solution known as Cramer's Rule.

  y = (fa-cd)/(ae-bd)

The corresponding solution for x is ...

  x = (ce-bf)/(ae-bd)

__

The point of looking at the equations first is that you can often choose which variable to eliminate and what multiplier to use to minimize the amount of arithmetic involved—as we did above.

5 0
3 years ago
Read 2 more answers
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