Ellie is going to a carnival that has games and rides. Each game costs $2.50 and each ride costs $3.50. How much would Ellie have to pay if she wanted to play 5 games and go on 7 rides? How much would Ellie have to pay if she wanted to play xx games and go on yy rides?5 games and 7 rides:

Answers

Answer 1
Answer:

1 game (x) = 2.50

1 ride (y) = 3.50

5x + 7y

5(2.50) + 7(3.50)

12.50 + 24.50

37

Ellie would have to pay $37 to play 5 games and go on 7 rides.

Hope this helps!! :)

Answer 2
Answer:

Answer:

$37

Step-by-step explanation:

You are given the prices of the games and the rides.

First you find the games. Since there are 5 games, you do 2.50 * 5. This gives you 12.5. She would have to have $12.50 to spend.

Next, you do the rides. There are 7 rides, each for 3.50, so you do 3.50 * 7, giving you 24.50. She would have to have $24.50 to spend on rides.

Now the question asks how much she would have to pay to do both. This means you add your values:

12.5 + 24.5 = $37.


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Two lines, C and D, are represented by the equations given below:Line C: y = x + 12
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why?


(4, 14), because one of the lines passes through this point
(4, 14), because the point lies between the two axes
(5, 17), because both lines pass through this point
(5, 17), because the point does not lie on any axis

Answers

Bought lines need to pass same point, so:

x+12 = y    =    y = 3x+2
x+12=3x+2     |-2
x+10=3x         |-x
10=2x             |/2
5=x
x+12 = y   => 5+12 = y =>y = 17

(x,y) => (5,17)

Answer:

5,17

Step-by-step explanation:

The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the last step.9x2 +54x = 7

9(x2 + 6x) = 7

9(x2 + 6x + 9) = 7 +.?

Answers

Completing the square is done as follows:

1. Write the equation in a way that the constants are in the right side while the terms with x are on the left. 
9x2 +54x = 7

2. Make sure that the coefficient of the x^2 term is 1.
9(x2 + 6x) = 7

3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
9(x2 + 6x + 9) = 7 + 81

9(x+3)^2 = 88

Answer:

? = 81

Step-by-step explanation:

The sum of two numbers is 83 and one of the number is x. what is the other number?

Answers

The other number is (83 - x).
x+y=83\n \boxed{y=83-x}

-18 - 14= whats the answer help

Answers

Answer:

-32 :) is the answer just think about it as your adding the sum of these numbers then putting a negative in front of it.

Step-by-step explanation:

The work of a student to solve a set of equations is shown:Equation 1: m = 8 + 2n
Equation 2: 3m = 4 + 4n



Step 1:
−3(m) = −3(8 + 2n) [Equation 1 is multiplied by −3.]
3m = 4 + 4n [Equation 2]

Step 2:
−3m = −24 − 6n [Equation 1 in Step 1 is simplified.]
3m = 4 + 4n [Equation 2]

Step 3:
−3m + 3m = −24 − 6n + 4n [Equations in Step 2 are added.]

Step 4:
0 = −24 − 2n

Step 5:
n = −12


In which step did the student first make an error?

Step 4

Step 3

Step 2

Step 1

Answers

Answer:

Step 3

Step-by-step explanation:

Hello

the student made a mistake in the step number 3.

let´s see

in the step number 1 he multiplied by -3 in order to add this new equation with  equiation 2 and then eliminate the terms with m

Step one

-3(m)=-3(8+2n)

-3m= -24 - 6 n,  it is ok

in step two he simplified, he did it well.

in the step 3  he added the equations

 -3m = -24-6n

  3m = 4   +4n

_____________

    0   = -20-2n

he did not add properly -24+4, here , he made his first mistake.

step 4 is already wrong

continuing..to find n

0= -20-2n

20=-2n

n=-10

Have a great day

 

I think the student first made an error on step 1 because why is it multiplied by -3. To be more precise, where did the student get the -3 from?

5p-14=8p+4 step by step

Answers

5p-14=8p+4\n 3p=-18\n p=-6
5p-14=8p+4\ \ \ \ |add\ 14\ on\ both\ sides\n\n5p=8p+18\ \ \ \ |substract\ 8p\ from\ both\ sides\n\n-3p=18\ \ \ \ |divide\ both\ sides\ by\ (-3)\n\np=-6