Jason and Henry go to the movie theater and purchase refreshments for their friends. Jason spends a total of $66.75 on 12 drinks and 1 bag of popcorn. Henry spends a total of $82.50 on 3 drinks and 10 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of popcorn, to the nearest cent.

Answers

Answer 1

Answer:

The cost of one drink is $5

Step-by-step explanation:

3x-120x=82.50-667.5

120x-3x=667.50-82.50

117x=585

x=5


Related Questions

a cubic block of ice has a volume of 1,331 inches how tall is the block

Answers

Answer:

The answer is 11. 11^3 is 1,331.

Step-by-step explanation:

NP

you are listening to a playlist that has three hip hop songs 2 rock songs if they are a 15 more songs on this playlist and the ratio of hip hop song or rock song stayed the same how many of each type would be on this playlist ​

Answers

doing this fa points , sorry not sorry .

-4( -3 )+ (6-2)/64 = ?

Answers

Answer:

12.0625

Step-by-step explanation:

Im not sure but im pretty sure it's correct

12.06 or 193/16 in fraction form I believe. Sorry if it’s wrong.

In the image above, what do the red arrows on lines mean?

Answers

Answer: ............................Step-by-step explanation:You need to attach an image

The length of a rectangle is 11 less than 9 times the width. The perimeter of the rectangle is 18 inches

Answers

Length = 7   Width = 2

Step-by-step explanation:

L = Length

W = Width

L=9w-11

2L+2W=18

2(9W-11) + 2W = 18

18W - 22 +2W = 18

20W -22 = 18

20W = 40

W = 2

L = 9(2)-11

L=18-11

L=7



The original price of a play ticket was $36.00. Yolanda bought the ticket at original price and then marked it up 10% and resold the ticket. How
much did she resell the ticket for?
What

Answers

she sold the ticket for $39.50
explanation: you take 36 and time it by 10% and it will give you $3.60 and you add it to 36

The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue?

Answers

Answer:

ok u need to list the numbers in the journal

Step-by-step explanation:

Help pls idk how to do this idk if i will set it up right

Answers

Answer:

3(-10.5)

Step-by-step explanation:

Answer:

3(-10.5)

Step-by-step explanation:

A bag weighing 80 N rests on a horizontal surface. The coefficient of static friction between the bag and the surface is 0.4, and the coefficient of kinetic friction is 0.2. What minimum horizontal force must be applied to keep the bag moving at constant velocity once it has started to move?

Answers

Answer:

The minimum horizontal force that must be applied to keep the bag moving  at constant velocity once it has started to move is 16 newtons.

Step-by-step explanation:

According to the First and Second Newton's Laws, an object has net force of zero when it is at rest or moves at constant velocity. Given that bag rests on a horizontal surface, the equation of equilibrium is:

[tex]\Sigma F = P - f = 0[/tex] (Eq. 1)

Where:

[tex]P[/tex] - Horizontal force exerted on the bag, measured in newtons.

[tex]f[/tex] - Kinetic friction force, mesured in newtons.

From (Eq. 1), we get that horizontal force is:

[tex]P = f[/tex]

On the case of a horizontal surface, normal force exerted from ground on the bag and kinetic friction force is:

[tex]f = \mu_{k}\cdot W[/tex] (Eq. 2)

Where:

[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.

[tex]W[/tex] - Weight of the bag, measured in newtons.

Then we eliminate kinetic friction force by equalizing (Eqs. 1, 2):

[tex]P = \mu_{k}\cdot W[/tex]

If we know that [tex]\mu_{k} = 0.2[/tex] and [tex]W = 80\,N[/tex], then the horizontal force that must be applied to is:

[tex]P =0.2\cdot (80\,N)[/tex]

[tex]P = 16\,N[/tex]

The minimum horizontal force that must be applied to keep the bag moving  at constant velocity once it has started to move is 16 newtons.

Heyy! Can y’all plz help me on this I would really appreciate it :)
10x - 7 = 7x - 1

Answers

Answer:

x = 2

Step-by-step explanation:

10x - 7 = 7x - 1

10x = 7x + 6

3x = 6

x = 2

Answer:

x = 2

Step-by-step explanation:

Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.

You should be left with 10x - 7x = 7 - 1.

10x - 7x = 3x

7 - 1 = 6

3x = 6

Divide both sides by three to get your answer of x = 2.

Which inequality matches the graph shown?

Answers

Answer:

I am pretty sure it is x>8 which is B.

Step-by-step explanation:

I’m one hundred percent positive it’s B because if it’s open the aren’t less then or equivalent to or greater than or equivalent to

On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is LaTeX: t=\frac{1}{500}dt=1500d. How long will it take the airplane to travel 800 miles?

Answers

Answer:

1.6hours

Step-by-step explanation:

We know that Speed= distance/ time

But from the question, An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d.

And the distance is given as 800 miles

Then, what we need is to substitute the given Distance into the equation of time.

t= 1/500d. Where d= 800 miles

t= (1/500) × 800 miles

t= 800 miles/500

t= 1.6hours

Hence, it will take the airplane to travel 800 miles , 1.6hours

Donte simplified the expression below. 4 (1 + 3 i) minus (8 minus 5 i). 4 + 3 i minus 8 + 5 i. Negative 4 + 8 i. What mistake did Donte make?

Answers

Answer:

He didn't expand properly.

This part: 4(1 + 3i)

Step-by-step explanation:

4(1 + 3i) - (8 - 5i)

Expand:

4 + 12i - 8 + 5i

-4 + 17i

Answer:

A on edge2020

Step-by-step explanation:

did the test

A student solved the equation below using the steps shown, rounding to two decimal places if necessary.

which step contains the first mistake ?

A. step 2

B. step 1

C. step 3

D. step 4

Answers

Answer:

Step 1

Step-by-step explanation:

5y-30=-5y+30 and also can you show the steps :}

Answers

5y-30=-5y+30

add 30 to both sides

5y = -5y+60

add 5y to both sides

10y = 60

divide both sides by 10

y = 6

hope this helps!

By considering the discriminant, find the
value of the constant p such that the
following equation has equal/repeated
solutions.
4x2 + 8x + p = 0​

Answers

Answer:

p = 4

Step-by-step explanation:

A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.

The formula of a discriminant (Δ) of equation

[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]

We have the equation

[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]

substitute

[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]

subtract 64 from both sides

[tex]-16p=-64[/tex]

divide both sides by (-16)

[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]

Solve proportion 2/4.5=t/0.5

Answers

0.2 or 2/9 in fraction form I believe.

Will hand out brainliest to the best answer! (+100 pts)

Answers

Answer:

6

Step-by-step explanation:

If the x is 2 in f(x) the answer should be 6 according to your table.

Answer:

6

Step-by-step explanation:

if the X is to in f(x) answerr will be 6 according to your table

3-4 what is the answer I am dumb plz helq

Answers

Answer:

Its -1. Do not call yourself dumb, though, negatives are the easiest subject

Step-by-step explanation:

loll it’s -1 ! don’t worry you’re not stupid

An aquarium is being filled at a rate of 2.5 inches per second. The equationLaTeX: y=2.5xy = 2.5 x is used to determine the height of the water after LaTeX: xx seconds. Find the domain and range of the situation if it takes 60 seconds to fill the aquarium.

Answers

Answer:

Step-by-step explanation:

Given the equation y = 2,5x

y is the height of the water

x is the time.

To get the range of values of the height at t = 60s, we will substitute x = 60 into the function

y = 2.5(60)

y = 150 in

Hence the range of the situation is [0, 150].

The domain will be all positive integers i.e xEZ

Could someone show me how to do this?

Answers

Step-by-step explanation:

b - no:of students on bus

V - " " on van

so the eqtn is

12v+10b=698

14v+2b=244

so when you solve these two eqtns you get

V=9

b=59

From 9:00 p.m. to 6:00 a.m., the temperature dropped 1.6 degrees Fahrenheit per hour.



What was the total change in temperature, in degrees Fahrenheit, between 9:00 p.m. and 6:00 a.m.?

Answers

Answer: help plz

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

that doesn't give the answer

Answers

Answer:

what doesnt give the answer??

Step-by-step explanation:

Carlos sold 6 cellphones every hour during the day, but in the morning he already ha $1,250 in the register. What is the expression that represents the total amount of money that he should have in the register in a given hour?

A: $1250
B: 6x
C: 6x + 1250
D: 1250x + 6

Answers

Answer: 6x+1250

Step-by-step explanation:

Amount already in the register = $1250

Number of phones sold every hour = 6

Price of the phone = x

The expression that represents the total amount of money that he should have in the register in a given hour will be:

= $1250 + $6x.

Therefore, option C that is 6x + 1250 is the correct answer.

Determine if the function shows a linear relationship or an absolute value relationship. Then evaluate the
function for the indicated value of x.
A. f(x) = |x-31-2; x = -5
B. g(x) = 1.5x; x = 0.2
C. p(x) = 17 - 2x]; x = -3

Answers

I think it’s B because it’s negative

HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. 30

2. 0.83333333

3. 1.2

4. 30

Step-by-step explanation:

H is the only reasinable decimal

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x Less than or equal to 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed? Explain.

Answers

Answer:

She will leave an extra video game which weighs 0.25lb

Step-by-step explanation:

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?

Solution:

Weight of the items

hairdryer = 1.25 lb

hand-held video game = 0.6 lb

an extra video game = 0.25 lb music player = 0.4 lb

The total weight of the items

= 1.25lb + 0.25lb + 0.6lb + 0.4lb

= 2.5 lb.

Total weight - required weight

= 2.5lb - 2.25lb

= 0.25lb

2.5lb is 0.25lb greater than 2.25lb

Therefore, not all items can be added.

She has to leave out an item equivalent to 0.25lb

Item equivalent to 0.25lb is the extra video game

If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.

Answer:

The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed.

Step-by-step explanation:

Evaluate 3{5 + 3[10 + 4.8]}​

Answers

Answer:

393

Step-by-step explanation:

XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.

Answers

Answer:

29° and 58°

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus

∠ ZXY = ∠ WXY = 29°

∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°

Determine the distance from point (2,4) to (4,-2) Plz help asap

Answers

Answer:

Step-by-step explanation:

Other Questions
What caused most of the diseases and deaths in Plymouth? The density of air at STP is 1.285 g/L. Which of the following cannot be used to fill a balloon that will float in air at STP? Name an organism and describe abiotic and biotic limiting factors that impact the organisms survival. name the national heritage of nepal which are listed in the list of world heritage by unesco and describe about any one in short Why were women given the vote in Britain in 1918? Which examples are compound sentences? Select three options Explain 2 causes of the civil war . Why did the south secede from the Union ?? Help Please help me fast why is lithium used in the body? Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.The width of the new gym is meters.The length and width of the new gym are times the length and width of the old gym. what unit of measure would i use to measure the width of my fingernail A millimetersB centimeters C meters D kilometersE grams STATER: Ranking the importance. Rank the following causes of war from most to leastimportant.Nationalism Assassination Militarism Imperialism Alliances helppppp please help! i would appreciate it! What impact of not being a more farming based region made New England unique?A.More of their population lived in towns and small citiesB. They often lacked enough food to feed themselvesC. They were not able to trade with other countries like the other regions wereD. They did not have as much money and prosperity 2. Tamara has to go on a business trip. Including taxes, her round trip airfare is $400 and her room costs $150 per night. The cab fare from the airport to the hotel is $40. If Tamara stays for two nights, how much does the trip cost, not including the cost of food? What is the z-score for Paula If she got 1400 on the SAT, the mean was 1100 and thestandard deviation was 275? Etxuck327 Inc. sells a particular textbook for $39. Variable expenses are $28 per book. At the current volume of 49,000 books sold per year the company is just breaking even. Given these data, the annual fixed expenses associated with the textbook total: An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this experiment is a: 29 2/3 divide 7 1/2whats the answer Read this excerpt from Through the Looking-Glass by Lewis Carroll.She was rambling on in this way when she reached the wood: it looked very cool and shady. Well, at any rate it's a great comfort, she said as she stepped under the trees, after being so hot, to get into theinto WHAT? she went on, rather surprised at not being able to think of the word. I mean to get under theunder theunder THIS, you know! putting her hand on the trunk of the tree. What DOES it call itself, I wonder? I do believe it's got no namewhy, to be sure it hasn't!She stood silent for a minute, thinking: then she suddenly began again. Then it really HAS happened, after all! And now, who am I? I WILL remember, if I can! I'm determined to do it! But being determined didn't help much, and all she could say, after a great deal of puzzling, was, L, I KNOW it begins with L!Which question might a reader ask to gain a better understanding of this excerpt?Why does Alice choose to step through the looking glass?Why does Alice forget the name of the woods and her own name?Why does Alice want to play chess with all the others in the garden?Why does Alice talk to the gnat about the looking-glass insects?