The freshman spirit club took a trip to the state fair .There were 59 students and 6 chaperones, and the total admission cost for the group was 508$.Student tickets cost 2$ more than the chaperone tickets.Write an equation to represent the cost of a student ticket

Answers

Answer 1

Answer:

Step-by-step explanation:

First you determine the variables x and y as:

x: the value for student tickets

y: the value for chaperone tickets.

Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:

x= y +2

On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:

59x + 6y = 508

Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:

[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]

Solving for x, the price of a student ticket:

Rearranging  the first equation,

y = x - 2

Replacing in the second equation and solving for x:

59*x + 6*(x -2)=508

59*x + 6*x -12=508

65*x -12=508

65*x= 508 +12

65*x= 520

[tex]x=\frac{520}{65}[/tex]

x=8

The cost of a student ticket is 8$


Related Questions

What would be the best first step in solving 0.05x + 0.01 = 0.025? Explain.

Answers

Answer:

Step-by-step explanation:

it would be to subract 0.01 from 0.025 because you want to get the x by itself

The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease

Answers

Answer: 50%

Step-by-step explanation: math

Please help a girl out!! :(( im really confused and it would mean a lot if someone helped!

Answers

Answer:

$7.69

Step-by-step explanation:

2.48+2.48+2.48= $7.44

then add 0.25 which is

$7.69

please help, i need it done soon

Answers

Answer:

Point C i think is: (33/8, 0)

Step-by-step explanation:

I hope this helps -w-

If f(x) = 10x + 3 what is the value of x when f(x) =19

Answers

Answer:

x =  1/ 10 y +  −3 /10

Step-by-step explanation:

Let's solve for x.

y = 10x + 3

Step 1: Flip the equation.

10x + 3 = y

Step 2: Add -3 to both sides.

10x + 3 + −3 = y + −3

10x = y −3

Step 3: Divide both sides by 10.

10/10x  =  y −3/ 10

x =  1 /10 y +  −3 /10

Therefore the answer is

x =  1/ 10 y +  −3 /10

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Hope This Helps!

1) Gracie has a piece of wood that is 5 feet long to use for two projects. She uses 2 feet of the wood on her first project. Which statement describes how a number line can be used to find the length of wood Gracie has remaining for her second project? * Start at 5 and then move left 2 Start at 5 and then move right 2 Start at 2 and then move left 5 Start at 2 and then move right 5

Answers

Answer:

Start at 5 and then move left 2

Step-by-step explanation:

Given:

Length of a piece of wood with Gracie = 5 feets

Length of a piece of wood used on the first project = 2 feets

To find: statement that describes how a number line can be used to find the length of wood Gracie has remaining for her second project

Solution:

The statement that describes how a number line can be used to find the length of wood Gracie has remaining for her second project is

Start at 5 and then move left 2

In this way [tex]5-2=3[/tex]

That is Gracie has now 3 feets of wood available that can be used for her second project.

Using the concept of a number line, the number of wood grace has left would be Start at 5 and then move left 2

Using the concept of a number line :

Positive values are to the right of 0 ; hence, the initial amount of wood grace has is +5

Using two feets from the initial length, then we would Subtract 2 from the the initial value ;

To perform subtraction on a number line, we count to the left ;

Therefore, the correct statement is Start at 5 and then move left 2

Learn more : https://brainly.com/question/18109354

Which of the following forms a proportion?
5/9 = 14/18 3/5 = 21/35 6/12 = 18/34 1/8 = 2/24

Answers

Answer:

3/5 = 21/35

Step-by-step explanation:

if you reduce 21/35 it is 3/5 so it is the same thing

You should not schedule _____ tasks for the same day.


yearly

daily

weekly

monthly

Answers

Answer:

B. Daily

Step-by-step explanation:

It makes more sense to put "daily" because of "the same day."

Daily means doing something everyday.

You should not schedule daily tasks for the same day.

Answer:

I just took the test.

It is weekly.

Segment FB is graphed on the coordinate plane where Fis (- 7, - 4) and B is (5, 2) . If point A is graphed of the way from F to B , where is point A located ? 3/4 of the way from F to B, where is point A located?​

Answers

Answer:

Step-by-step explanation:

7, 1

1/3 minus 1/6 equals to???

Answers

Answer:

1/6

Step-by-step explanation:

In order to add or subtract fractions you have to have the same denominator for both factions. you do this through finding the Lowest Common Denominator (LCD) In this case it's six because both 3 and 6 (the denominators) can go into 6. So turn 1/3 into a fraction with 6 as the denominator through multiplying both the top and bottom of the fraction by 2

1/3 * 2/2 = 1*2/3*2 = 2/6

Then you can straightforwardly subtract

2/6 - 1/6 = 1/6

and Slope
Which point-slope equation represents a line that passes through (3,-2) with a slope of - 4?
5
Oy-3=-=(x + 2)
Oy-2 = (x-3)
Oy+2=-(-3)
Oy+3 = (x + 2)

Answers

Answer: y+2=-4/5(x-3)

Step-by-step explanation:

The equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is a slope of a line and a point passing by it, we need to find the equation of the line,

So, the general equation of the line is :-

y = mx + c

where, m is the slope, and the c is the y-intercept.

Put the value of the slope given, in the equation,

y = -4x+c

Now, for find the value of c, just put the values of the x and y from the point in the equation,

-2 = -4(3) + c

c = -2+12

c = 10

Now, we get the value of the c,

So, the equation is y = -4x+10

Hence, the equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

Learn more about equation, click;

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On Tuesday, a local hamburger shop sold a combined total of 435 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday?

Answers

Answer:

870?

Step-by-step explanation:

Answer:

217.5

Step-by-step explanation:

435 divided by 2 don't really know how else to explain

Determine the height of the triangle if the area is 24 square inches and the base is 12 inches.

Answers

Answer:

4

Step-by-step explanation:

We use 1/2base times height to find the area and since we already have an area we just do 24= 6h then we divide 6 on both sides and height equals 4

Answer: 6 inches

Step 1: Subtract 12 because 12 iches is the base.

24 - 12 = 2

Step 2: Divide 12 by 2 because triangles have two equal sides.

12 ÷ 2 = 6

Answer = 6

Tanner is cutting a 23-inch board into 2.25-inch sections. How many whole sections will he end up with?

11
12
10
13

Answers

C, 10

23/2.25 = 10.22 (10 whole sections)

hope this helps :)

Evaluate 2√2/(√2-√3)

Answers

Answer:
4-2√6
Explanation:

Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?

Answers

Answer:

8 gallons left

Step-by-step explanation:

0.75 times 4=3

11-3=8

hope this helps :)

change 84cm into mm​

Answers

840mm would be the correct answer

Answer:

840mm

Step-by-step explanation:

There are 10mm in 1cm, so all you have to do is multiply 84 by 10, which is 840. 84cm=840mm

Have a great day...I hope this helped you :3

You have $50 in your bank account. You withdraw $60 from your bank account. What is your new balance?

Answers

Answer:

you would not be able to withdraw $60

Step-by-step explanation:

$50 is less than $60

Answer:

$-10 (you wouldn't be able to withdraw 60, only 50 or less.)

Step-by-step explanation:

You have $50 and you withdraw $60 from your bank account, if you did that, you would've had -10 dollars in your bank account.

And you wouldn't be able to withdraw 60, only 50 or less.

(~ ̄▽ ̄)~Hope this helps!

solving equations with variables on both side! due today​

Answers

Answer:

x=5

Step-by-step explanation:

2-3x = -x-8

Add 3x to each side

2-3x+3x= -x+3x-8

2 = 2x-8

Add 8 to each side

2+8 = 2x-8+8

10 =2x

Divide by 2

10/2 =2x/2

5 =x

Find the product

(-4)(-9)(-2)​

Answers

Answer:

-72

Step-by-step explanation:

(-4)(-9)(-2)=

36(-2)=

-72

How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?

Answers

67 miles i believe should be right

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg

Answers

Answer:

V₂ = 450 cm³

Step-by-step explanation:

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.

[tex]V\propto \dfrac{1}{P}[/tex]

If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg

We need to find a new volume. Using the above concept,

[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]

So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters

What is an equation of the line that passes through the points
(0,8) and
(−8,−4)? Put your answer in fully reduced form.

Answers

I guess ,

y+4 = 1.5 (x+ 8)
y+4 = 1.5x + 12
1.5x - y = -12+4


1.5x - y = -8

Answer:

Answer given in the photo

HELP PLEASE!!! Show how you got the answer as well!

Answers

Answer:

2 ans is 7 2x_4+2x_7=17

Find 1/20 of 180 dollars

Answers

9, since 1/20 can be represented as 0.05, and 0.05 x 180 = 9


Hope it helps!

Answer:

9

Step-by-step explanation:

180÷20=9.

Could I please have BRAINLIEST?

how to do this question plz ​

Answers

She would buy 8 3-pack cartons and 2 singular cartons. You multiply the prices for each (.9x8 + 2(0.38)), she would spend $7.96.

Translate this into an equation.
The product of Greg's height and 5 is 90.
use g to represent Greg's height.

Answers

Answer:

g times 5 equals 90

Step-by-step explanation:

Answer:

g5 = 90

Step-by-step explanation:

if Greg's height is and 5 is the product of 90 that means you have to multiply g and 5 together to equal 90.

Find the total distance from Mercury to Earth. HELP!

Answers

Answer:

5.67*10^7

Step-by-step explanation:

Since the distance from mercury to venus is 30,700,000, and the distance from venus to earth is 26,000,000, we can simply add these together to find the distance from mercury to earth:

 30,700,000

+26,000,000

__________

 56,700,000

Now, to convert it to scientific form, just multiply 10^7 (which is the number of digits-1) and 5.67. Therefore, the answer is 5.67*10^7

What 98 x 8 divided by 2 and what is this game called

Answers

Answer:

392 and Overwatch I think

Step-by-step explanation:

Answer:

392 and overwatch, the other guy deleted his answer soo imma hop in here and put the answer.

Step-by-step explanation:

Please help asap!! I'll give you brainliest!!

What is the slope of the function, represented by the table of values below?

Answers

Answer:

-4

Step-by-step explanation:

To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.

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