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Marina CMI [18]
3 years ago
6

A water park charges $5 for entry into the park and an additional $2 for each of the big waterslides. Steven spent $17 on his vi

sit to the water park. Which equation can be used to find the number of big waterslides, x, that Steven went on?
a. 5 + 2x = 17
b. 5x + 2 = 17
c. 5x + 2x = 17
d. 5 + 2 = 17x
Mathematics
1 answer:
igomit [66]3 years ago
4 0
5 is a constant - you pay $5 before you go on any of the waterslides.
let the number of waterslides Steven went on = x

5 +2x =17  ($5 plus $2 per waterslide ride = 17)

Answer a is correct.
By the way, Steven went on 6 waterslide rides.
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Answer:

What is the question?

Step-by-step explanation:

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Levart [38]

Answer:

Part 1:

The solution set of the system of equations is x = 1, y = 1

Part 2:

The solution set is x = 1, y = 1

Part 3:

The similarity of the system of equations in Parts 1 and 2 is that they have the same solution set

The difference of the system of equations in Parts 1 and 2 is that they are arranged differently

Step-by-step explanation:

Part 1:

The system of equation is given as follows;

2·x + y = 3...(1)

x = 2·y - 1...(2)

The above system of equations can be written in terms of the variable, y, as follows;

For equation (1), we have;

y = 3 - 2·x

For equation (2), we have;

y = (x + 1)/2

From the attached graph created with Microsoft Excel, we have;

The solution set (the point of intersection) of the system of equations is x = 1, y = 1

To accurately find the common solution, we have;

(x + 1)/2 = 3 - 2·x

x + 1 = 2·(3 - 2·x) = 6 - 4·x

x + 1 = 6 - 4·x

x + 4·x = 6 - 1

5·x = 5

x = 5/5 = 1

x = 1

Therefore, y = 3 - 2·x = 3 - 2× 1 = 1, at the common solution

Part 2:

y = -2x + 3

x - 2y = -1

∴ x = 2y -1

y = -2(2y -1) + 3

y = -4y + 2 + 3

5y = 5

y = 1

x = 2y - 1 = 2 - 1 = 1

x = 1

The solution set is x = 1, y = 1

Part 3

The system of equations are similar in terms of their solution

The system of equations are different in terms of their arrangement

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