student tickets for the football game cost $12 each and adult ticket cost $20 $1,720 was collected for the 120 ticket sold at last game which system of equations can be used to solve for the number of each kind of ticket sold​

Answers

Answer 1

Answer:

85 student tickets and 35 adult tickets were sold.

Step-by-step explanation:

Howdy!

We know that student tickets cost $12, adult ticket cost $20 and 120 tickets were sold.

So:

$12×A + $20×B = $1,720. Where A and B are the number of student tickets and adult tickets sold, respectively.

Given that 120 tickets were sold in total, we have that:

A + B = 120

So the system of equations to be solved is the following:

$12×A + $20×B = $1,720                    (1)

A + B = 120                                          (2)

Solving for 'A' in equation (2) we get:

A = 120 - B

Substituting this value into equation (1) we get:

$12×(120 - B) + $20×B = $1,720

Solving for 'B' we have:

$12×(120 - B) + $20×B = $1,720

$1,440 - $12×B + $20×B = $1,720

$1,440 + $8×B = $1,720

$8×B = $1,720 - $1,440

$8×B = $280

B = 35 tickets.

Given that B = 35, then A = 120 - 35 = 85 tickets.

So 85 student tickets and 35 adult tickets were sold.

Answer 2

Answer:

Students=85

Adults=35

Step-by-step explanation:

-12s-20a=-1720

20k+20a=2400

8k=680

k=85

85+a=120

a=35


Related Questions

The receipt shows the quantity and price of some clothing. Which equation can be used to find the price of each pair of jeans?

Answers

The answer is A because “x” is the number of jeans purchased so it would be the price per jean times number of jeans being purchased

Answer: Answer is A

Step-by-step explanation:

solve......... 6y + x = 8

Answers

Step-by-step explanation:

[tex]6y+x=8\\\\for\ x:\\\\6y+x=8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\6y-6y+x=8-6y\\\\\boxed{x=8-6y}\\\\for\ y:\\\\6y+x=8\qquad\text{subtract}\ x\ \text{from both sides}\\\\6y=8-x\qquad\text{divide both sides by 6}\\\\\boxed{y=\dfrac{8-x}{6}}[/tex]

Attachment Below Thanks Lots Of Points

Answers

Answer:

1A: The area of a flat, or plane figure is the number of unit squares that can be contained within it. The unit square is usually some standard unit, like a square meter, a square foot, or a square inch.

1B: A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length

1C: A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

2A: A=wl

2B: A=πr to the power of 2

Step-by-step explanation:

1. Area = the measurement of the surface of a 2D shape.

Radius = a straight line from the center of a circle to its circumference.

Diameter = a straight line from one side of a circle to the other side, passing through the center point.

2. The area of a rectangle is found by multiplying the length by the width.

The area of a circle is found by multiplying the radius squared by PI.

3. Find the area of the paper and the area of the game pieces, then divide the area of the paper by the area of the game piece.

Which type of data is best represented by a line graph?


A.each response shown by an X or dot


B.data that are compared using bars


C.change in data over time


D.parts of a total amount

Answers

C. change in data over time

Answer:

c. change in data over time

Step-by-step explanation:

What is the closed linear form of the sequence 3, 4, 5, 6, 7, ...?
A) an = 2 + n
B) an = 2 - n
C) an = 3 + n
D) an = 3 - n

Answers

Answer:

Step-by-step explanation:

This is an arith. sequence.

The first term is 3 and the common difference is 1

Thus, the general formula for the nth term of this sequence is:

a(n) = 3 + 1(n - 1)   This matches Answer A

ANSWER

[tex]a_n=2+ n[/tex]

EXPLANATION

The given sequence has terms:

3, 4, 5, 6, 7, ...

The first term is

[tex]a_1=3[/tex]

The constant difference is

d=4-3=1

The general term is given by:

[tex]a_n=a_1 + d(n - 1)[/tex]

Substitute the first term and the common difference to get,

[tex]a_n=3+ 1(n - 1)[/tex]

Expand:

[tex]a_n=3+ n - 1[/tex]

[tex]a_n=2+ n[/tex]

The first choice is correct.

Justine is a wedding coordinator. She is selecting the menu options for the reception

Answers

What does she want on the menu

Write the standard equation for the circle center (-6,8) that passes through (0,0)

Answers

Answer:

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 6, - 8), thus

(x + 6)² + (y + 8)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)

r = [tex]\sqrt{(0+6)^2+(0+8)^2}[/tex] = [tex]\sqrt{36+64}[/tex] = [tex]\sqrt{100}[/tex] = 10

Hence

(x + 6)² + (y + 8)² = 100 → D

Use the grouping method to factor the polynormial below completely. 10x^3 - 35x^2 + 6x - 21

Answers

The polynomial 10x^3 - 35x^2 + 6x - 21 is factored using the grouping method to obtain (2x - 7)(5x^2 + 3).

To factor the polynomial 10x^3 - 35x^2 + 6x - 21 using the grouping method, we first look for a common factor in each group separately and then factor out the common binomial factor.

Split the polynomial into two groups: (10x^3 - 35x^2) and (6x - 21).

Factor out the greatest common factor from each group: 5x^2(2x - 7) and 3(2x - 7).

Now we have 5x^2(2x - 7) + 3(2x - 7). Since both terms have a common binomial factor of (2x - 7), we can factor this out: (2x - 7)(5x^2 + 3).

So, the factored form of the polynomial 10x^3 - 35x^2 + 6x - 21 using the grouping method is (2x - 7)(5x^2 + 3).

2. In the figure, what is mLC

Answers

50° is the answer since the the circumscribed angle is 1/2 of the arc on the opp side

Answer:

50° is the answer since the the circumscribed angle is 1/2 of the arc on the opp side

Step-by-step explanation:

At lunch, 6 friends share 4 pizzas equally. What fraction of a pizza does each friend get? May 5th, 2019. (8:34pm.)

Answers

Answer:

each friend would get about 2/3 of a pizza

Step-by-step explanation:

you would take the total amount of pizza (4) and divide it by the friends (6) which would look like this: 4 / 6 = 0.6666 (repeating) which is equal to 2/3

i hope this helps :)

Mairisa gets $8 per week for an allowance. She saves 25% of her allowance each week. How long will it take Mauritania to save $16. Question :#7

Answers

8 weeks

First, find how much money Maurisa saves each week. 25% is the same as 1/4, and 1/4 of 8 is 2, so Maurisa saves $2 each week.

Finally, just divide $16 by $2 per week to find that Maurisa will take 8 weeks to save $16.

Solve system of equation.

2x+y=10

-2x+2y=5

Answers

Answer:

(2.5,5)

Step-by-step explanation:

thats the answer

Answer:

The solution point is (2.5, 5)

Step-by-step explanation:

This is one of the very first steps you need to take in order to solve 2 equations with 2 unknowns. This does not require that you make any adjustments.

2x + y  =  10

-2x +2y = 5        Just add. The xs cancel.

3y = 15                Divide by 3

3y/3 = 15/3

y = 5

=========

Now use one of the equations (the top one is easier) to solve for x

2x + y = 10      Substitute y = 5

2x + 5 = 10      Subtract 5

2x +5-5 = 10-5  

2x = 5              Divide by 2

x = 2.5

The solution point is (2.5 , 5)

A washer and a dryer cost $816 combined. The washer costs $66 more than the dryer. What is the cost of the dryer?

Answers

Answer:

$342

Step-by-step explanation:

816/2 = 408

408-66=342

Answer: 342

Step-by-step explanation: you take 816 divide it by 2 (408) then u subtract 66 from that and u get 342. The price of the washer would cost 474 if u wanna add them to check my work.

How do I simplify this expression?

Answers

Answer:

15i√2

Step-by-step explanation:

5√(-18)

= 5√(-2 x 9)

= 5 x 3 x √-2

= 15√-2

= 15i√2

Answer:

15i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Require to know [tex]\sqrt{-1}[/tex] = i

Given

5[tex]\sqrt{-18}[/tex]

= 5[tex]\sqrt{9(2)(-1)}[/tex]

= 5 × [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex]

= 5 × 3 × [tex]\sqrt{2}[/tex] × i

= 15i[tex]\sqrt{2}[/tex]

carol and chick are counting calories ehile eating lunch at the school cafeteria in one week carol had 8 slices of pizza,5containers of skim milk and five cups of fruit salad. chick had 5 slices pf pizza,7 containers of fruit salad, and 7 containers of skim milk. chicks calorie count was 2500 and carols was 3070. if each container of skim milk is 40 calories how many calories did carol get from pizza

Answers

Answer:

2320 calories

Step-by-step explanation:

We are given the following information;

Carol;

8 slices of pizza

5 containers of skim milk

5 cups of fruit salad

Chick;

5 slices pf pizza

7 containers of skim milk

7 containers of fruit salad

We let x denote the calories in each slice of pizza and y the calories in each cup or container of fruit salad. Chicks calorie count can thus be represented by the following expression;

5x + 7(40) + 7y

5x + 7y + 280

We are also informed that chicks calorie count was 2500 and thus the following equation is formed;

5x + 7y + 280 = 2500

5x + 7y =2220. This will be our first equation

On the other hand, Carols calorie count can be represented by the following expression;

8x + 5(40) + 5y

8x + 5y + 200

We are also informed that Carols calorie count was 3070 and thus the following equation is formed;

8x + 5y + 200 = 3070

8x + 5y = 2870. This will be our second equation

Now, we have two sets of equation;

5x + 7y =2220

8x + 5y = 2870

We solve these simultaneously to determine the values of x and y;

We multiply the first equation by 8 and the second by 5 in order to eliminate x and solve for y;

40x + 56y = 17760

40x + 25y = 14350

Subtracting the second equation from the first yields;

31y = 3410

y = 110

We substitute this value in the first equation and solve for x;

5x + 7(110) = 2220

5x = 2220 - 770

5x = 1450

x = 290

Therefore, each slice of pizza contains 290 calories. Carol had 8 slices of pizza implying that her total calories count from pizza was;

8 * 290 = 2320 calories

Who can help me out with this

Answers

Answer:

x=y+5

Step-by-step explanation:

Step-by-step explanation:

To solve for x in this case, we must first add 5 to both sides, resulting in:

x - 5 + 5 = y + 5

then simplify,

x = y + 5

And boom, you're done!

I Need Help With This Problem Please :)

Answers

Answer:

Output = input + 2

Step-by-step explanation:

Simple, take some values to figure it out.

When input is 0, output is 2

When input is 1, output is 3

When input is 2, output is 4

When input is 3, output is 5

There is one commonality between them:

The output is simply input + 2

pxqxqxqxqxqxqxqxqxq expression equivalent

Answers

Answer:

pxq^9

Step-by-step explanation:

-hope this is what you're looking for?

find the midpoint of the segment with the following endpoints (2,4) and(8,8)

Answers

Answer:

(5,6)

Step-by-step explanation:

just answered a similar question for you a while ago so I have updated by response to match the different values:

the midpoint formula is

(x1 + x2/2) , (y1 + y2/2) <-- both the x1 and y1 coordinates also are divided by 2

so to solve for the midpoint, we take our endpoints and plug it into the formula

we will list the coordinates as the following to plug it into the formula:

x coordinate 1 = 2

x coordinate 2 = 8

y coordinate 1 = 4

y coordinate 2 = 8

substituting these values into the formula we get this:

x =(2 + 8/2) , y = (4 + 8/2)

x = 2 + 8 = 10/2 = 5 which is our x coordinate for the midpoint

y = 4 + 8 = 12/2 = 6 which is our y coordinate for the midpoint

in an ordered pair it would be (5, 6)

Final answer:

The midpoint of the segment with the endpoints (2,4) and (8,8) is (5, 6).

Explanation:

The midpoint of a line segment is the point that is equidistant from both endpoints. To find the midpoint of a segment with endpoints (2,4) and (8,8), we can use the midpoint formula.

The midpoint formula is given by:

M = (x1 + x2)/2, (y1 + y2)/2

Using the given endpoints, we substitute the values into the formula:

M = (2 + 8)/2, (4 + 8)/2 = (10/2, 12/2) = (5, 6)

Therefore, the midpoint of the segment with the given endpoints is (5, 6).

Write an equation for the graphed function

Answers

Answer: g(x) = 1/(x-1) - 3

Step-by-step explanation:

Where would y = 1/x be located?

It would have an asymptote at each of the y and x axes.

This is shifted one to the right, and three down.

To shift one to the right:

y = 1/(x-1)

To shift three down:

y = 1/(x-1) - 3

And we're done!

Lance loaded 89 boxes into his delivery truck in the morning . At 2 o clock that afternoon he had 36 boxes left on the truck . How many boxes had he delivered ?​

Answers

Answer:

53 boxes

Step-by-step explanation:

Subtract the end amount from the beginning amount to find the number of boxes already delivered.

89-36=53

how is the slope of a linear function related to the number of zeros for the function

Answers

Answer:

there should only be 1 zero for a linear function

Step-by-step explanation:

Answer:

First of all, when we say linear function that it should be taken note that the maximum number of zeroes should be one. The linear equation will not have a zero only if the line it produces is a vertical line and does not pass the origin

Step-by-step explanation:

i hope this helps you let me know if it does

Choose the correct simplification of the expression -5x(4x-6x^2-3)

Answers

Answer:

30x^3 -20x ²+ 15x

Step-by-step explanation:

-5x(4x-6x^2-3)= -20x²+30x^3+15x

-5x(4x-6x^2-3) = 30x^3 -20x ²+ 15x

30x^3-20x^2+15x

I think its the answer

Unit 17- calculations

Answers

What exactly is your question?

Answer:

i dont understand

Step-by-step explanation:

plz explain

The graph of the function is shown. Which inequality represents the domain of the function?

Answers

Answer:

x≥-6

Step-by-step explanation:

The domain is every value of x.  Since the function does not include any values of x less than -6, x≥-6 is the domain.

The inequality which represents the domain of the function is y>=6 . Hence, option A is correct.

What is the domain of a function?

The domain of a function is the set of all possible input values. In other words , we could say the x - values for which valid y-values are obtained.

From the graph, the line depicts , valid y- values starting from -6 and higher.

Hence, the values include ;

-6, -5, -4, .....

Therefore, the correct option is A.

Learn more on domain : https://brainly.com/question/30242164

#SPJ2

What is the probability of rolling a number cube and its landing on an even number?

Answers

Answer:

1/2

Step-by-step explanation:

When we roll a die, we can get 1,2,3,4,5,6

There are 6 possible outcomes

The even numbers are 2,4,6

There are 3 ways to get an even number

P(even number) = number of evens/ total outcomes

                           = 3/6

                            =1/2

Suppose you can chose from 3 different shirts, 2 pairs of pants, and 5 pairs of shoes. Use the fundamental counting principle to find out how many different outfit combinations you can make.​

Answers

Answer:

You can make 10 combinations.

Step-by-step explanation:

you can make 10 combinations because all you have to do is just add all the numbers then you get 10

We want to find the total number of combinations of outfits, given that we know the number of each type of clothes that you have.

Using basic counting, we will get that there are 30 different outfit combinations.

Let's see how to get that:

To count the total number of combinations, the first thing we need to find is the selections.

Here we have 3 selections:

Selection of shirtSelection of pantsSelection of shoes.

Now we need to find the number of options for each one of these selections:

Selection of shirt (3 options)Selection of pants (2 options)Selection of shoes. (5 options)

To get the total number of combinations, we just need to multiply all of these numbers of options, we will get:

3*2*5 = 30

This means that there are 30 different outfit combinations.

If you want to learn more, you can read:

https://brainly.com/question/2688929

a-b+c=3

a+b+c=7

Find a+c using substitution.

Answers

a+c=5. Please look at the attached image to see what I did

Find three solutions of the equation. y=2x-6
A) (-2,-10), (1,-4), (2,-1)
B) (-2,-10),(1,-4), (0,-6)
C) (0,-6), (3,-2), (-2,-10)
D) (1,-4),), (0,-6), (-1,-9)

Answers

Answer:

B

Step-by-step explanation:

put the values of x and y into the equation respectively.

if LHS =RHS then it is a solution

e.g put (-2,-10) into the equation

-10=2(-2)-6

-10=-10

hence is a solution .

or put x value into the equation such as

(-2,-10)

y=2(-2)-6

the ans should be y=-10.As u can see is equal to the solution given.Hence is a solution.

What is the value of x to the nearest tenth?
A)7.2
B)9.2
C)4.8
D)12.0

Answers

Answer:your answer is C

Step-by-step explanation:

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