Daniela, Kieu, and Cameron decide to go to the movies one hot summer afternoon. The theater is having a summer special called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink. They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go back again, only this time, they each pay $8 for a ticket, they each get a large soft drink, but they share one large bucket of popcorn. This return trip costs them a total of$37.50. Use systems of equations to find the price of a large soft drink and the price of a large bucket of popcorn!​

Answers

Answer 1

Answer:

Price of a large soft drink = $3

Price of large bucket of popcorn = $4.5

Step-by-step explanation:

Let the cost of one large popcorn = $P

And the cost of one large soft drink = $S

If Daniela, Kieu and Cameron avail the deal of Three Go Free,

3P + 3S = 22.50

P + S = 7.5 -----(1)

Next time they each pay $8 for a ticket, they each get a large soft drink but they share one large bucket of popcorn.

This trip cost them = $37.50

Cost of 3 tickets + Cost of 3 large soft drinks + Cost of one large bucket of popcorn = 37.50

(3 × 8) + (3 × S) + P = 37.5

24 + 3S + P = 37.5

3S + P = 13.5 -----(2)

By subtracting equation (1) from equation (2),

(3S + P) - (P + S) = 13.5 - 7.5

2S = 6

S = $3

From equation (1),

P + 3 = 7.5

P = $4.5

Therefore, price of a large soft drink is $3 and a large bucket of popcorn is $4.5


Related Questions

many years ago it used to cost more to call people long distance. Let’s say the first 5 minutes cost 4 dollars, but the. every minute after that cost $0.50 per minute. how much would it have cost for a 20 minute phone call?

Answers

Answer:

Step-by-step explanation

it would be 80$ for a 20 minute phone call.

Answer:

Step-by-step explanation:

5=4

6=4.50

7=5

8=5.50

9=6

10=6.50

11=7

12=7.50

13=8

14=8.50

15=9

16=9.50

17=10

18=10.50

19=11

20=11.50

Is - 7/8 or - 1/15 larger

Answers

Answer:

-1/15 because it is closer to zero on the negative half of a number line.

Answer:-1/15

Step-by-step explanation:When it comes to negatives sign the smaller number with the negative sign is always the greater number

I need help fast plz

Answers

Answer:

1. m = -3, b = 4

2. m = 0, b = 7

3. m = -1.5, b = -4

4. m = 3, b = 0

5. m = 1.5, b = -7

A car rental company rents only one type of car. The table shows the cost to rent a car from the
company
Number of
Days
Cost
2
$72
3
$85
5
$111
The rental cost includes a one-time cleaning fee plus a daily rate. What is the cleaning fee?
Enter the numerical value only - no variable, no units.

Answers

Answer:

$72 that is the answer for the question

3900 people attended a football game. If 25% of the people who attended were teenagers, how many teenagers attended the game?

Answers

Answer:

975 teenagers attended the game.

What is an equation that is equivalent to -3/4x+1/8=-3/8?

Also the / is not a division symbol. The numbers with a / are fractions.

Answers

Hope this helps! Follow my Instagram trlamb822!

Question 15 David went for a run in his town. He ran from his house to the school, which is 1.22 miles. Then he ran 3 laps around the school track. Each lap is 0.25 miles. Then he ran halfway to the gas station. The distance from the school track to the gas station is 2.68 miles. Finally he ran straight home, which is 0.49 miles. What is the total distance David ran?

Answers

Distance covered to travel house and school, d1 = 1.22 miles.

Distance covered in 3 laps, d2 = 3 × 0.25 = 0.75 miles.

Distance between halfway to the gas station from school,

d3 = 2.68÷2 = 1.34 miles.

Distance from his last position to home, d4 = 0.49 miles.

So, total distance covered is :

[tex]D = d1+d2+d3+d4\\\\D=(1.22+0.75+1.34+0.49)\ miles\\\\D=3.8\ miles[/tex]

Therefore, total distance covered is David is 3.8 miles.

Hence, this is the required solution.

If Maria uses 4N of force to lift a box onto a shelf 0.5m high, how much work did she do?

Answers

w = f × distance

w = 4 × 0.5

w=

50 POINTS for functions

Answers

Answer:

im going with G

Step-by-step explanation:

I believe it is G because the negative 3 was located on the whole section on the graph.

4. In Canadian coins, 16 quarters is equal in value to 2 toonies.
number of quarters
number of toonies
1
16
2
20
24
a. Fill in the table.

Answers

Answer:

If 16 quarters is equal to 2 toonies, then 1 quarter is;

16 : 2

1 : x

16x = 2

x = 2/16

x = 1/8 toonies

20 quarters would therefore be;

= 1/8 * 20

= 2.5 toonies

24 quarters would be;

= 1/8 * 24

= 3 toonies

Are the following equations an identity

6y + 9 - y = 7y - 2(y - 1)


7m - 2 = 8m + 4 - m

Answers

Answer:

No Solution

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Pleasee help! I don’t know the answers. I’m struggling

Answers

Answer:

1. Total amount of the five checks is $132.95.

2. She owed $16.47 before tax.

3. quizzes- 53 pts

   projects-129 pts

   tests-272 pts

   for grading period-454 pts

4. Tim-399

   Jane-401

   Felipe-412

   Chen-419

   team-1,631

Can i get brainliest please?

hi someone pls help me with #2

Answers

Answer:

B

Step-by-step explanation:

Which expression is equal to √520−√345?

11√5

-√5

−11√5

√5

Answers

The answer is square root 5

The value of the expression when simplified is equal to √5. The correct option is D.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given radical expression can be simplified as shown below,

5√20 - 3√45

Write the under root values in the factored form,

= 5√(4×5) - 3√(9×5)

Simply the function that can be simplified,

= 5(√4 × √5) - 3(√9 × √5)

= 5(2√5) - 3(3√5)

= 10√5 - 9√5

Take √5 as the common term from the two of the given terms,

= (10 - 9) √5

= 1 √5

= √5

Hence, the value of the expression when simplified is equal to √5.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Is a continuous graph a graph with connected lines and curves? PLEASE help! WILL GIVE BRAINLIEST

Answers

Answer:

That's pretty much correct. A continuous function is one that has no breaks or holes. For example, 1/x+5 is not continuous (or discontinuous) because the domain does not include -5. However, I don't think it needs to necessarily have to have curves because all linear functions are continuous. Hope this helps! (I learned about this a few weeks ago in my pre-calc class lol)

Step-by-step explanation:

Write an equation in point slope form of the line graphed below. (Use the right hand point)

Answers

Answer:

y+1=1/2(x-1)

Step-by-step explanation:

The point is (1,-1) and the slope is 1/2, so you plug in the number in the blanks y-___=___(x-___).  The y in the first the slope in the second and the x in the third.

The equation is in slope-intercept form y = -x/4 -3/4

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A graph of the line.

Assuming the graph measurement is 1 unit.

Then we interpreted two points (-1, 1) and (3, 0).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

y - 1 = (-1/4)(x + 1)

y - 1 = -x/4 -1/4

y = -x/4 -3/4

Therefore, the equation is y = -x/4 -3/4

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

What is the horizontal asymptote of the function f(x)=2x−5?
Enter your answer as a number, like this: 42

Answers

Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

I just took the test and this was correct

The largest angle is a triangle is 110°. Of the remaining two angles, one is 4° less than the other angle. Find the
measure of the three angles

Answers

Answer:

Do 180-110=70 Then have it where 70/2=35. 35+4=39, 35-4=31, so the three angles are 39, 110, and 31.

Step-by-step explanation:

100 + 50% = ????? I KNOW ANSWER BUT I AM NOT SURE.​

Answers

Answer:

[tex]100.5 = 100 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]100 + 50\% = 100 + \frac{50}{100} = 100 \frac{1}{2} = 100.5[/tex]

♨Rage♨

Kyle rented a paddle boat at Town Lake. He paid a one time rental fee of $25 plus $10 per hour. His total bill was $45.

Write an equation

Answers

Answer:

45 - 25 = 20 / 10 = 2 meaning he used the boat for 2 hours.

Step-by-step explanation:

Its the same this as before you start by writing it out how the way PEMDAS works. PEMDAS is ( Parenthesis, Exponents, Multiplication, Division, Adding, and Subtraction). Also i accidentally messed up my other answer so give me a sec.

The number x is a two-digit number.


• When x is divided by 9, the remainder is 1.


• When x is divided by 10, the remainder is 3.


What is the remainder when x is divided by 11?


Be sure to explain how you got your answer.

Answers

Answer:

x = 73

x ÷ 11 = 73 ÷ 11 = 6.636 or [tex]6\frac{7}{11}[/tex] or  ( 6 remainder 7)

Step-by-step explanation:

1. In order to determine the value of x, we will first find a two-digit multiple of 9 that has a unit value of (2)

Multiples of 9 = 18, 27, 36, 45, 54, 63, 72, 81, ...

from the above, the multiple of 9 that has a unit value of '2' is 72 ( 7 tens and 2 units)

2. Next, we will add 1 to the multiple of 9 found in step 1 above, to create a unit value of '3'. This is because when the number is divided by 9, we want to have a remainder of 1, and when the number is divided by 10, and we want to have a remainder of 3

72 + 1 = 73 ( 7 tens and 3 units)

3. Finally, let us divide the number in step 2 above by 10

73 ÷ 10 = 7 remainer 3.

Now the number 73 satisfies the three conditions given in the question:

1) The number x is a two-digit number.

73 is a two-digit number  

2) When x is divided by 9, the remainder is 1.

73 ÷ 9 = 8 remainder 1

3) When x is divided by 10, the remainder is 3.

73 ÷ 10 = 7 remainder 3

∴ x = 73

x ÷ 11 = 73 ÷ 11 = 6.636 or ( 6 remainder 7)

If you are driving 50 miles per hour for 600 miles, and wanted to know how far you had
driven at each hour, what would your slope be?

Answers

I believe the answer is 12 because if but in y= Mx+b format you would get 600= 50x. Then to solve you would dived 600 by 50 and get 12

It a math question so please help me out.

Answers

Answer: I say B

Step-by-step explanation:

Answer:

A. t=-2h+32

Step-by-step explanation:

I'm pretty sure it's A. If the temperature starts at 32 degrees at midnight, that is going to be it's own number, not joined with a variable. In contrast, the temperature drops 2 degrees every hour, so the variable h will have a 2 with it (2h). But because it drops, the 2h will actually be negative. The equation would be written like this...

t=-2h+32, which is answer A.

I hope you understood! Good luck on your assignment and have an awesome day C:

X-8 = 14
A.addition property of equality
B.subtraction property of equality
C.multiplication property of equality
D.division property of equality

Answers

It would be addition property of equality.

To solve for X, get it alone.
Get rid of -8 from the left hand side.
x-8=14
We add 8 to both sides
x - 8 + 8 = 14 + 8
x= 22
Therefore 8 is added to each side which makes it addition property!

What is the ratio of rectangles to circles?

Answers

4:5
There are 4 rectangles, and 5 triangles. Therefore the ratio is 4:5.

Determine the next three terms in the arithmetic sequence.
912, 864, 816, 768,720

670,620,570
620,520,420
672,624,576
675,630,585

Answers

For any arithmetic sequence  aₙ₊₁ = aₙ + d

912, 864, 816, 768, 720

864 - 912 = -48 = d

so the next three terms:

720 + (-48) = 672

672 + (-48) = 624                    

624 + (-48) = 576

 

670, 620, 570   ⇒ 620 - 670 = -50 = d

so the next three terms:

570 + (-50) = 520

520 + (-50) = 470

470 + (-50) = 420

620, 520, 420   ⇒ 520 - 620 = -100 = d

so the next three terms:

420 + (-100) = 320

320 + (-100) = 220

220 + (-100) = 120

672, 624, 576   ⇒  624 - 672 = -48 = d

so the next three terms:

576 + (-48) = 528

528 + (-48) = 480                    

480 + (-48) = 432

675, 630, 585   ⇒  630 - 675 = -45 = d

so the next three terms:

585 + (-45) = 540

540 + (-45) = 495

495 + (-45) = 450

I need help with C. Idk how to do it.

Answers

Answer:

after 1.25 hours

Step-by-step explanation:

1. make 130 your y value

  130 = 220 - 72x

2. subtract 220 from both sides

  -90 = -72x

3. divide by -72 on both sides

  1.25 = x

multiply the polynomials below. SHOW ALL WORK

(x−7)(2x−5)

Answers

2x^2-19x+35

show work:
=(x+-7)(2x+-5)
=(x)(2x)+(x)(-5)+(-7)(2x)+(-7)(-5)
=2x^2-5x-14x+35
=2x^2-19x+35

plssss helpppp
dalia bought a few swirl marbles and divided it equally among four of her friends and her brother jake. while playing jake lost 2 marbles and has only 7 marbles at present. find how many marbles did dalia buy in all.

Answers

The total amount of marbles jake has =7+2 which is 9.

If jake has 9 marbles then the other four friends of daila also have 9 each because daila divided the marbles equally

9+9+9+9+9=45

Or 9x5 (daila shared between 5 peps)

Daila bought 45 marbles in total

Solve for n 3m+2n=8 how do you do theseee?

Answers

Sub tract the 3m and you get 2n=8-3m then divide by 2 and you get n=8/2 - 3m/2 and that can be reduced to n= 4 - 3m/2