Lupe and her friends spend $20 on hot dogs and popcorn at a
sporting event. Hot dogs cost $2.50 each, and popcorn costs $1.00
each. They buy a total of 11 items at the concession stand. How
many of each item do they buy?

Answers

Answer 1

Answer:

They buy 6 hotdogs and 5 popcorn

Step-by-step explanation:

Assume that they buy x hotdogs and y popcorn

∵ They buy a total of 11 hotdogs and popcorn

∵ The number of hotdogs is x and the number of popcorn is y

x + y = 11 ⇒ (1)

∵ Hot dogs cost $2.50 each

∵ Popcorn costs $1.00 each

∵ They spend $20 on hot dogs and popcorn

→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20

∴ 2.5(x) + 1(y) = 20

2.5x + y = 20 ⇒ (2)

Now we have a system of equations to solve it

→ Subtract equation (1) from equation (2)

(2.5x - x) + (y - y) = (20 - 11)

∴ 1.5x + 0 = 9

∴ 1.5x = 9

→ Divide both sides by 1.5 to find x

x = 6

→ Substitute the value of x in equation (1) to find y

∵ 6 + y = 11

→ Subtract 6 from both sides

∴ 6 - 6 + y = 11 - 6

y = 5

They buy 6 hotdogs and 5 popcorn


Related Questions

A bunny seller began their business with only 2 bunnies. The seller noticed that the number of bunnies the farm expanding after t days can be modeled by the equation P = 2 ∙ 3^t In this equation, what does 3^3 represent? *

Answers

Step-by-step explanation:

A bunny seller began their business with only 2 bunnies. The seller noticed that the number of bunnies the farm expanding after t days can be modeled by the equation

[tex]P=2(3)^t[/tex]

we know that the exponential equation is in the form of

[tex]y=a(b)^x[/tex]

Where 'a' is the initial value

y is the final value

b is the rate factor

x is the time period

P=2(3)^t

[tex]3^3[/tex] represent the value of t is 3

we know that 't' represents the number of days

[tex]3^3[/tex] represent the farm expanding after 3 days

do you want to make a sodium carbonate solution with a concentration of 2.5%. You have 50 mL of a 1% solution about how many milliliters of a 6% solution should you add

Answers

9514 1404 393

Answer:

  21 3/7 mL ≈ 21.43 mL

Step-by-step explanation:

Let x represent the amount of 6% solution that should be added. The the total volume of sodium carbonate in the mix is ...

  1%(50) +6%(x) = 2.5%(50 +x)

  50 +6x = 125 +2.5x . . . . . multiply by 100, eliminate parentheses

  3.5x = 75 . . . . . . . . . . . . . subtract 2.5x+50

  x = 21 3/7 . . . . . . . . . . . . . divide by 3.5

21 3/7 mL, about 21.43 mL, of 6% solution should be added to make a 2.5% solution.

What’s the value of x?

Answers

Answer:

wala nashang value sayu dahil may iba nasha

110°

A=70° so B=110° because A and B are supplementary. Therefore x=110° too.

HEYYYY plz help need both parts :)

Answers

It is A and D because as you can see it is using subtraction and multiplication and I’m sorry if I am wrong I can’t see much

Zearn Mission 2 Assessment

Answers

Answer:

What do you mean?

Step-by-step explanation:

I can help if I know what's goin' on.

Assume there is a 50% chance of having a boy. Find the probability of
exactly two boys in three births.

Answers

Answer:

0.375

Step-by-step explanation:

Given that there is 50% chance of having a boy in a single birth.

Let it be represented by p, so

p=50%=0.5

According to Bernoulli's theorem, the probability of exactly r success in n trials is

[tex]P(r)=\binom {n}{ r} p^r(1-p)^{n-r}[/tex]

where p is the probability of success.

So, the probability of exactly 2 boys (success) in a total of 3 birth (trials) is

[tex]P(r=2)=\binom {3}{ 2} p^2(1-p)^{3-2}[/tex]

As p=0.5, so

[tex]P(r=2)=\binom {3}{ 2} (0.5)^2(1-0.5)^{3-2} \\\\=\binom {3}{2} (0.5)^2(0.5)^{1} \\\\=3\times 0.5^3[/tex]

=0.375

Hence, the probability of exactly 2 boys in a total of 3 birth is 0.375.

A salesperson sold a car for $18,200 and their commission is $700. What percentage of the sale price is their commission?

Answers

The percentage of their commission is 3.85%
700/18200= 0.03846
0.03846 x 100 = about 3.85

The cost of attending two carnivals based on the number of ride tickets purchased is shown below.​ what are the system of equations.

Answers

Answer:

2+2 = 4

Step-by-step explanation:

1+1= the answer

Find the product. Enter your answer in simplest form.

Answers

27^6 will be your answer

Please help!



The functions f(x) and g(x) are shown below:

f(x) = 2x
g(x) = 2x

Which statement best describes the graph of f(x) and g(x)? (1 point)

Answers

Answer:

i think f(x)=2x may be if right or wrong say me ok

Stephen and Bridget win some money and share it in the ratio 1:3. Stephen gets £11. How
much did they win in total?

Answers

Answer:

£44

Step-by-step explanation:

We have been given the ratio 1 : 3 , where 1 is stephens value and 3 is bridgets value.

We have told that stephen gets £11.

The relationship between stephens 'value' of 1 and the amount of money that he actually gets (11) is x11.

Therefore we must also x11 to Bridgets value.

11 x 3 = £33

Now, we add the two answers to find how much they won in total.

£33 + £11 = £44

hope this helps :)

33+11=44 dollarssssssss

Alex and Sophia share £20 in the ratio of 2:3. Work out how much money each person gets.

Answers

Answer:

Alex will get 8 pounds and Sophia will get 12 pounds

Step-by-step explanation:

Since the ratio is 2:3, the total ratio is 5 (2+3)

divide 20 pounds from 5

and each unit will have 4 pounds

Therefore, Alex will get 8 pounds and Sophia will get 12 pounds

Andre’s group was asked to write an expression equivalent to 5 p squared q + 7 p q squared minus 10. When Ms Berger checked their answers, she found only one to be correct. Who had the correct answer?

Answers

Answer:

Andre's group

Step-by-step explanation:

A) 8 dogs for every 5 cats
B) S1.25 per song
c) lap per minute
60 students
D)
2 classes
15 players
E)
1 team
F) 4 cups per 2 batches
А.
ОВ.
D.
а Е
F

Answers

Answer:

I will answer but I need the question

Step-by-step explanation:

7 and 1/5 as a percent

Answers

7.2 as a decimal but as a precent it will be 720%

SUPER EASY MATH! Help plz! Will give Brainliest! What is C?

Answers

Answer:

C = 35

Step-by-step explanation:

Column 2 = Column 1 * Column 3

C = 5*7 = 35D = 10*7 = 70
35!! C equals thirty five.

How many points does the team have?

How many games has this team lost?

Answers

Step-by-step explanation:

P = 3W + D

When W = 5 and D = 3, P = 3(5) + 3 = 18.

When P = 50 and D = 14,

(50) = 3W + (14), 3W = 36, W = 12.

Since the team has 12 wins and 14 draws,

they have 35 - 12 - 14 = 9 losses.

blank + blank = internal energy​

Answers

Answer:

kinectic + electric = internal

Step-by-step explanation:

Internal energy U of a system or a body with well defined boundaries is the total of the kinetic energy due to the motion of molecules and the potential energy associated with the vibrational motion and electric energy of atoms within molecules. Internal energy also includes the energy in all the chemical bonds.

Answer:

The internal energy of a system is identified with the random, disordered motion of molecules; the total (internal) energy in a system includes potential and kinetic energy. This is contrast to external energy which is a function of the sample with respect to the outside environment (e.g. kinetic energy if the sample is moving or potential energy if the sample is at a height from the ground etc). The symbol for Internal Energy Change is ΔU .

Energy on a smaller scale

Internal energy includes energy on a microscopic scale

It is the sum of all the microscopic energies such as:

translational kinetic energy

vibrational and rotational kinetic energy

potential energy from intermolecular forces

One gram of water at zero °Celsius compared with one gram of copper at zero °Celsius do NOT have the same internal energy because even though their kinetic energies are equal, water has a much higher potential energy causing its internal energy to be much greater than the copper's internal energy.

The following table shows the number of alligators in each body of water near Tom's house. Number of alligators 7,0,11,10 find the mean number of alligators.

Answers

Answer:

Mean number of alligators = 7

Step-by-step explanation:

Given that:

Number of alligators

7, 0, 11, 10

Sum of quantities = 7 + 0 + 11 + 10

Sum of quantities = 28

Number of quantities = 4

We can find the average by dividing the sum of quantities by number of quantities.

Mean = [tex]\frac{28}{4}[/tex]

Mean = 7

Hence,

Mean number of alligators = 7

Answer:

7

Step-by-step explanation:

So there were four different places and four different amounts of alligators.

The numbers are 7, 0, 11, 10.

When you add 7, 0, 11, 10, you get the number, you get 28.

You then divide 28 by 4, because there are four different numebrs on the chart. 7(1), 0(2), 11(3), 10(4).

After you divide this, the mean would be 7 because 28/4 = 7. (28/4 means 28 divided by 7)

there are 946 milliters in a quart there are 2 pints in a quart
how many milliters are in a pint?​

Answers

Answer:

Answer: There are 473 milliliters in 1 pint. ... 946 ml in 1 quart

Step-by-step explanation:

2/5 - 1/15 show your work

Answers

Answer:

0.34

Step-by-step explanation:

2/5 = 0.4

1/15 = 0.06

0.4-0.06=0.34

Given that α and β are the roots of the equation x² + 3x + 4 = 0, what is the value of
( α + β)²

Answers

Answer:

9

Step-by-step explanation:

sum of roots = α + β

= -b/a

= -3/1 …………………. [b = 3, a = 1]

= -3

(α + β)² = ( -3 )² = -3 × -3 = 9

HOPE THIS HELPS YOU

HOPE THIS HELPS YOUFollw me = 10 thanks

HOPE THIS HELPS YOUFollw me = 10 thanksMark as brainliest = 10 thanks

HOPE THIS HELPS YOUFollw me = 10 thanksMark as brainliest = 10 thanks1 thanks to me = 2 thanks

Please help me I don’t understand what I’m supposed to do ! Unit 1 - Triangle Congruence
State if the two triangles are congruent. If they are, state how you know.

Answers

Answer:

i dont either

Step-by-step explanation:

25 = 5 • 3 = 15 True or False​

Answers

Answer:

False

Step-by-step explanation:

Can someone help me with this ?

Answers

Answer: C=60 B=120 D=120

the graph of the reciprocal parent function , f (x) = 1/x is shifted 8 units downs and 6 units to the left to create the graph of g (x) what function is g (x)

Answers

Answer:

Help me with this please

Answer:

g(x)=1/x+6 -8

Step-by-step explanation:

You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?
You earn $ 8.75 for washing 4 cars.
17

Answers

Answer:8.75

Step-by-step explanation:35/4

see question down below

Answers

Answer:

okay so the answer is 3200 but i dont know which one i think it b

Step-by-step explanation:

UPPER AND LOWER BOUNDARIES
People who understand please reply

a = 49.0 rounded to 1 DP
b= 7.62 rounded to 2 DP
Find the minimum of a - b

Answers

Answer:

The minimum of a - b is 41.325

Step-by-step explanation:

Let us solve the question using upper and lower boundaries

a = 49.0 rounded to 1 decimal place

∵ 1 decimal place means 0.1

→ Divide 0.1 by 2

∵ 0.1 ÷ 2 = 0.05

→ Add 0.05 to the rounded number to get the upper boundary

∵ 49.0 + 0.05 = 49.05

The upper boundary = 49.05

→ Subtract 0.05 from the rounded number to get the lower boundary

∵ 49.0 - 0.05 = 48.95

The lower boundary = 48.95

The range of a is 48.95 ≤ a < 49.05

b = 7.62 rounded to 2 decimal places

∵ 2 decimal place means 0.10

→ Divide 0.01 by 2

∵ 0.01 ÷ 2 = 0.005

→ Add 0.005 to the rounded number to get the upper boundary

∵ 7.62 + 0.005 = 7.625

The upper boundary = 7.625

→ Subtract 0.005 from the rounded number to get the lower boundary

∵ 7.62 - 0.005 = 7.615

The lower boundary = 7.615

The range of b is 7.615 ≤ b < 7.625

To find the minimum value of a - b, use the smallest value of a and the greatest value of b

The minimum of a - b = lower boundary of a - upper boundary of b

∴ The minimum of a - b = 48.95 - 7.625

∴ The minimum of a - b = 41.325

The minimum of a - b is 41.325

Find a 11 in the following geometric sequence

Answers

That one is kinda tricky
Other Questions
Figure 4Body Systems Apple Concepts Describe the levels of organization in a complex system. Write about a sports team, a supermarket, a digital audio player, or an orchestra. Or choose your own example. Identify a problem at your school and use the workplace problem-solving process to come up with a solution for it. Briefly explain each step along the way, and then write a conclusion as to why you think the solution will work. Help fasstttttt fifteeee pointsuuuu Which best describes how the county unit system favored the traditional branch of the Democratic Party?It prevented the progressives from winning.It prohibited African Americans from voting.It undermined Republican election efforts.It made the general election meaningless. ONLY ANSWER THIS IF YOUR FLUENT IN FRENCH Complete this conversation between Rmy and Louise with the correct contractions with la, l', au, auxQuest-ce que tu aimes faire comme sport?1. Jaime nager piscine et jaime aussi aller parc ou stade pour jouer foot.2.Est-ce que tu tudies souvent bibliothque?3.Non, je prfre tudier lyce.REWRITE THE SENTENCES USING EITHER et or mais in your sentences.Use conjunctions et and mais. MODLE nager / jouer aux checsJaime nager mais je naime pas jouer aux checs.J'aime nager et j'aime jouer aux checs.1.jouer aux cartes / jouer au football.1.2.chanter/ danser2.3.faire les magasins au centre commercial /aller la piscine.3.4.faire la fte avec les copains /aller au stade4.5.tudier la bibliothque /tudier avec des amis au caf5.6.regarder la tlvision / aller au cinma6. PLEASE HELP LIKE NOW ASAP PLZ! WILL GIVE BRAINLIESTIn the following measurements, which zeros are significant? Circle or highlight them. 0.100 cm 1200 kg 60.10 L 0.0007 s Suppose the radius of a circle is 3 units what is the circumference 34 + 35 Because why not can someone help me asapp !!!! A telephone pole breaks and falls as shown. To the nearest foot, what is the value of x, if the original height of the pole is 15 ft?A. 10 ftB. 9 ftC. 7 ftD. 5 ft{Please help ASAP!!} What does percent composition tell you about a substance?OA. It gives you the molecular formula of the substance,B. It tells you what the substance is made ofO C. It gives you the total mass of the substance,OD. It tells you how many moles are in the substance, Alexa and Siri are 22 miles apart on a trail. They start moving toward each other. Siri moves at a constant speed of 1.5 miles per hour. Alexa walks at a constant speed of 2.5 miles per hour. How long does it take until Alexa and Siri meet on the trail? What caused enslavers to set enslaved people free?Apeople immigrating from AfricaBthe results from the 1860 censusCthe growing abolitionist movementDBlack people supporting one another Question 2: What is the three-fifths compromise? How could the Framers JUSTIFY counting ahuman being as LESS THAN a whole person? There are 15 more boys than girls in 7th grade. There are 55 boys in 7th grade. How many girls are in 7th grade? Pls Help, I will mark Brainliest! Everythings in the pic that i need answered. Answer the next questions1. With which country do Romania, Germany and Russia border?2. If Ana is 34 but Sofia is 43 and Sonia 3 times youngerHow old is Sonia?3. Translate this sentence into several languagesI have a brother and a younger sister, and we have a dog his name is Rebel and we live in Canada. Which are Christmas traditions in Venezuela? There is more than one correct answer choice. Be sure to select all that apply. nativity scenes Christmas trees presents on Christmas Day fireworks roller skating to church If 10 is multiplied by a number, x and the result is added to 5, this statement may be written in algebra as: A. 15 B. 5+10x. C. 20 D. 15x Reread this stanza from "Not a Soul in Sight."Or they would be small dogs pulling at the leash,yapping after scents unseen, all chase and motion,loving this dirty earth too much ever to be still.What effect is this stanza's metaphor likely to have on readers?It will make the spirits of the dead seem less scary.It will remind them of their own dread about death.It will make them frightened of the next dog they see.It will discourage them from talking about lost loved ones. please help me on my math hw