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

Express 48 1/4 in simplest radical form.

Answers

Convert the mixed number to an improper fraction...

To take a root of a fraction, take the root of the numerator and denominator separately

Final answer should be around 6.94622

What is the value of x?

Enter your answer in the box.

x=

Answers

Answer:

x=19

Step-by-step explanation:

Set both equal to each other and then solve for x

If f(x) = 5x +3, find f(4)

Answers

The answer is:
f(4)=5•4+3
=20+3=23

For the expression 34- 34a to have a negative​ value, what must be true about the value of a ​?

Answers

Answer:

a>0

Step-by-step explanation:

if a is negative then the subtraction sign would switch. therefore, for the expression to have a negartive value a must be greater than 0

Evaluate the following expression: 2-(4+3-6) ​

Answers

Answer:

1

Step-by-step explanation:

2 - (4 + 3 - 6)

2 - 4 - 3 + 6

-2 - 3 + 6

-5 + 6

1

or

2 - (4 + 3 - 6)

2 - (1)

1

Answer:

The answer to our question is the number 1

Step-by-step explanation:

=2-1

=1 (the solution)

which expression is equivalent to −34÷(−812)?

Answers

Answer:

-34/-812 = 17/406

Step-by-step explanation: i think this is right...

Answer:

Your answer is: Look Below ↓

Step-by-step explanation:

Hope this helped : )

The wavelength of violet light is 4.0 x 10^−7 m. The wavelength of red light is 6.5 x 10^−7 m. How much longer is the wavelength of red than violet?
A 2.5 × 10^–7 m
B 1.05 × 10^–7 m
C 2.5 × 10^–6 m
D 1.05 × 10^–6 m

Answers

Answer:

A 2.5 × 10^–7 m

Step-by-step explanation:

Given

wavelength of violet light = 4.0 x 10^−7 m.

The wavelength of red light = 6.5 x 10^−7 m

To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light

Difference in  wavelength of red light and violet light =

wavelength of red light -wavelength of violet light

                         = 6.5 x 10^−7 m - 4.0 x 10^−7 m

Difference in  wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m

Difference in  wavelength of red light and violet light =2.5 x 10^−7 m

Thus,

wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light

option A

-4(3+7m) please help i will give brainlest and do not answer just to get points this is DUE IN FIVE MINUTES

Answers

Answer:

-28m-12

Step-by-step explanation:hope that helps :)

=(−4)(3+7m)

=(−4)(3)+(−4)(7m)

=−12−28m

=−28m−12

Answer:

-4(3+7m) = -28m - 12

Step-by-step explanation:

-4 (3 + 7m)

= -4 (3) + -4(7)

= -12 + (-28)

= -12 -28m

If p varies directly as
the cube of q, and p =
26 when q = 2, find p
when q = 5

Answers

Answer:

The value of p at q = 5 is 406.25

Step-by-step explanation:

p varies directly as the cube of q

→ That means p ∝ q³

The equation of variation is p = kq³, where k is the constant of variation

∵ p = 26 when q = 2

→ Use them to find the value of k

∵ 26 = k(2)³

∴ 26 = k(8)

∴ 26 = 8k

→ Divide both sides by 8

∴ [tex]\frac{26}{8}=\frac{k}{8}[/tex]

3.25 = k

→ Substitute it in the equation of variation

p = 3.25 q³ ⇒ equation of variation

q = 5

→ Substitute it in the equation of variation to find p

∴ p = 3.25 (5)³

p = 406.25

The value of p at q = 5 is 406.25

CAN SOMEONE PLEASE HELP ME WITH THISSSS! Please.
If you have a liquid with a density of 14.2 g/ml and is 84.5g, what is the volume?

Answers

[tex]density = \frac{mass}{volume} \\ [/tex]

[tex]14.2 = \frac{84.5}{v} \\ [/tex]

Multiply sides by v

[tex]14.2 \times v = 84.5[/tex]

Divided sides by 14.2

[tex]v = \frac{84.5}{14.2} \\ [/tex]

[tex]v = 5.95 \: \: ml[/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Figure B is a scaled copy of Figure A.

Answers

Answer:

1/3

Step-by-step explanation:

On left side its 6:2 so 6/2 is 3

the scale factor is 1/3 because figure is a reduction

hope it helps ;)

Answer:

1/3

Step-by-step explanation:

The side that's highest is 9 units, the the image its 3. 3/9= 1/3

What is the equation of the following graph

Answers

Answer:

Undefined

Step-by-step explanation:

What does negative 3 over 5 > −2 indicate about the positions of negative 3 over 5 and −2 on the number line?

Answers

So,

Ignore the negatives and just make them positives.

For now.

Then, you look at 3/5 and say... it's 3 ticks towards the number five,

meaning it's between 4 and 5. After you do that whats happens is you place back the negatives and you have -3/5 and -2.

-2 < 5 and -2 < 4

Meaning it goes more to the left.

I could be wrong but If I'm right please mark brainliest

Which equation represents the line that is parallel to y = 4 and passes through (-3,1)?

Answers

Answer:

y=1

Step-by-step explanation:

Can you find the numbers as powers with the given bases as your clue? Example: the number is 64 and the base is 4. I test 4x4=16 Then 16x4=64 So my power must be 43 because 4x4x4=64. Now you try... 1. It has a value of 32; it has a base of 2 2. 81, base 9 3. 81, base 3 4. 100, base 10

Answers

Step-by-step explanation:

For 32:

The factors are as shown:

32 = 2*2*2*2*2

32 = 2²*2³

32 = 2²⁺³

32 = 2⁵ (Base of 2 and power of 5)

For 81:

factors

81 = 3*3*3*3

81 = 3²*3²

81 = 3²⁺²

81 = 3⁴ (Base of 3 and power of 4)

For 100:

factors

100 = 10*10

100 = 10² (Base of 10 and power of 2)

what is the slope of a line perpendicular to the line whose equation is 2x-y=-6

Answers

Answer:

m⊥ = –½

Step-by-step explanation:

First, put the given equation in slope-intercept form:

2x – y = –6

–y = –2x – 6

y = 2x + 6

The slope of the line perpendicular to the line given will be the negative reciprocal of the given line's slope, so:

If m = 2, then m⊥ = its negative reciprocal:

m · –1

2 · –1

–2  →  –½

So, the negative reciprocal of 2 is –½.

Parallel, Perpendicular
Or Neither

Y = 3x + 1
6x - 2y = 10​

Answers

Since the new slope would be calculated to -3, the equations are neither parallel or perpendicular in accordance to each other.

what is half of 2^6?????
Need this asap so if you see this and are willing to help me please do

Answers

Answer:

32

Step-by-step explanation:

2 to the 6th power is also 2 x 2 x 2 x 2 x 2 x 2 which equals 64 so then you multiply it by .5 (half) to get 32 :)

Answer:

32

Step-by-step explanation:

2^6= 64

64/2= 32

I’m dumb and need help!

Answers

Answer:

C

Step-by-step explanation:

Break into 2 equatins to get x's:

2x-6<4 and 2x-6>-4

Solve for x in both:

2x-6<4

2x<10

x<5

2x-6>-4

2x>2

x>1

Graph both inequalities on the same number line:

<---0-----1-----2-----3-----4-----5-----6--->

The answer is A (1,5)

slove for x in terms of p,m, and g

m=g-px​

Answers

Answer:

- (m-g)/p =x

Step-by-step explanation:

subtract g

m-g=-p(x)

divide by -p

-(m-g)/p =x

Convert the fraction into a decimal using a calculator.
Round off to three decimal places. 22 / 95 =

Answers

Answer:

The answer would be 0.22 or .22

Step-by-step explanation:

Answer:

0.23

Step-by-step explanation:

divide the numerator by the denominator

22÷95= 0.23157894...

round 0.23157894... to 0.23

If -2z+3=9 what is the value of 2/3z?

Please Explain the steps.

Answers

Answer:

-2

Step-by-step explanation:

1.Subtract 3 from both sides and the equation is -2z=6

2.Divide both sides by -2 and the equation is z=-3

3.Multiply -3 by 2/3 and you get -2

Answer:

2/3z = -2

Step-by-step explanation:

1. First you want to find out what z is, so you have to solve for z.

2. To solve for z, first subtract 3 from the 3 and the 9. 3 minus 3 is equal to 0, so it cancels out. 9 minus 3 is equal to 6.

3. The new equation is -2z = 6, so now you have to divide -2z by -2 and 6 by -2. -2z divided by -2 is equal to 1z or z, and 6 divided by -2 is equal to -3.

4. The simplified equation is z = -3.

5. Now that we solved for 1z, we have to solve for 1/3 by dividing 1 by 3 and -3 by 3. 1 divided by 3 is 1/3, and -3 divided by 3 is -1.

6. We have solved for 1/3z (1/3z = -1), but now we want to solve for 2/3z so we have to multiply 1/3z by 2, and -1 by 2. 1/3z times 2 is 2/3z, and -1 times 2 is equal to -2.

7. The simplified equation for the value of 2/3z in the equation -2z + 3 = 9 is 2/3z = -2

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the number of questions Chris got right. Damien correctly answered 2 less than the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?

Answers

Answer:

C. Brian and Damien both answered 2 more questions correctly than Chris did.

Step-by-step explanation:

A. Brian and Damien both answered 2 fewer questions correctly than Chris did.

B. Brian and Damien both answered 4 more questions correctly than Chris did.

C. Brian and Damien both answered 2 more questions correctly than Chris did.

D. Brian and Damien both answered 4 fewer questions correctly than Chris did.

Let

B = number of questions Brian got right

C = number of questions Chris got right

D = number of questions Damien got right

The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right.

B = 14 + (1/4) * C

Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly.

D = (5/4) C - 2

If Brian and Damien have the same score,

14 + (1/4) * C = (5/4) C - 2

14 + 1/4C = 5/4C - 2

14 + 2 = 5/4C - 1/4C

16 = 5C-C/4

16 = 4/4C

C = 16

B = 14 + (1/4) * C

= 14 + 1/4*16

= 14 + 4

= 18

D = (5/4) C - 2

= 5/4*16 - 2

= 5*4 - 2

= 20 - 2

= 18

Solve for X
-9x - 8+5x=28

Answers

Answer:

X=-9

Step-by-step explanation:

X = -9

plug it in and see what works -9 is the only one you can plug in to get 28

What is the end behavior of the graph of q?

Answers

im not good at this...

im sorry if im wrong but i think it may be B

DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA

Answers

Answer:

da de da da da de do re mi fa so la mi AAAAAAAAAAA

Step-by-step explanation:

I can speak the language of the gods xD


A 3-yard roll of butcher paper costs $8.55. What is the price per foot?

Answers

Answer:

$2.85

Step-by-step explanation:

8.55/3

Answer:

$2.85 per foot

Step-by-step explanation:

all u gotta do is 8.55/3

2) y>-x+3
3
y<-x-1
Graph

Answers

Answer:

 

lokjhbvcvbnmjkl;;lkhhhvfbbbbbbbbbbbbbbbbbbbbbbbb

 

you earn $25 for washing 5 cars how much do you earn for washing 4 cars

Answers

You will earn $20 washing 4 cars

The sum of two numbers is x. If one of the numbers is 12, what is the other?

a. 12 x
b. 12 - x
c. 12 + x
d. x - 12

Answers

Answer:

D

Step-by-step explanation:

The question states that the sum of two numbers is x, and they give us one number which is 12. We know that 12 + 12x cannot equal x. We also know that 12 + 12 + x = x will cancel out the variable. Then, we can eliminate B, as the questions stated that the sum of two numbers is x, and they gave us one number of x. We know that the other number will be the unknown value minus 12, because 12 + x - 12 = x will simplify into x = x, which is true.

I think the answer is d
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