3) When Jackie took her children to the movie theater, she bought one box of candy and three small drinks for
$14.75. When Alex went to the same theater and bought two boxes of candy and five small drinks, he paid
$26.
a) Set up a system of equations to model this situation. Be sure to define the variables that you use.
b) Determine, algebraically, the cost for one box of candy and one small drink

Answers

Answer 1

Answer:

c + 3d = 14.75

2c + 5d = 26

A box of candy is $4.25 and a drink is $3.50

Step-by-step explanation:

Let c represent the cost of a box of candy and let d represent the cost of a drink

c + 3d = 14.75

2c + 5d = 26

Solve by elimination by multiplying the top equation by -2

-2c - 6d = -29.5

2c + 5d = 26

Add them together

-d = -3.5

d = 3.5

Plug in 3.5 as d into one of the equations to solve for c

c + 3d = 14.75

c + 3(3.5) = 14.75

c + 10.5 = 14.75

c = 4.25

So, a box of candy is $4.25 and a drink is $3.50


Related Questions

Solve this equation: b - 120 = 80

What is the value of b? (what is b)

Answers

Answer:

b=200

Step-by-step explanation:

Cancel -120 from both sides by adding 120 to the other side:

b=80+120

b=200

Answer:

b= 200

Hope it helps, if not, I'm so sorry.

help I can’t do basic math skjsjdmdmx

Answers

Answer:

2/8 which simplifies to 0.111111

Step-by-step explanation:

Your parents are building a pool that is 7 ft wide and 12 ft long. They want to put a walkway around the pool that is x ft wide on all sides. Write a polynomial that represents the combined area of the pool and walkway. Answer needs to be in standard form and use x as your variable.

Answers

Answer:

25 /12*6 =12.5

Step-by-step explanation:

thats what i got

The sales tax in a major city is 7%. Find the cost, including the tax charged on a purchase of $200.

Answers

Answer:

$214

Step-by-step explanation:

200*0.07 = 14, 200 + 14 = 214

Paula is the student council member responsible for planning an outdoor dance. Plans include hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage student attendance while still covering the cost of the band and the food.
Question 1: Band A charged $600 to play for the evening and Band B changers $350 plus $1.25 per student.
Write a system of equations to represent the cost of the two bands.

Answers

Answer:

Plans include hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage student attendance while still covering the cost of the band and the food. Question 1: Band A charged $700 to play for the evening and Band B changers $550 plus $1.50 per student.

Step-by-step explanation:

combien de morceaux de 15cm peut on découper dans une ficelle de 1cm ?​

Answers

Answer:

English translate for my help please??!

Step-by-step explanation:

Simplify (n-1) + n

Easy.

Answers

Answer:

2n - 1

Step-by-step explanation:

you add the 2 ns to get 2n then you  add the 1 to the equation to make

2n - 1


The solubility of NaCl is 284 grams/100 grams of water. What is this
concentration in ppb

Answers

Answer:

As

parts per million can be calculated by applying formula Ppm=(mass of solute/mass of solution)×1,000,000

In given condition

Mass of solute which is NaCl is 284g

Mass of solution which is watervis 100g

Ppm=284/100×1,000,000

=284000ppm

I hope it's helpful!

Answer: 284,000 ppm

Step-by-step explanation:

what place value is 7 in 7,000.2

Answers

Answer:

thousands place

Step-by-step explanation:

Have a nice day

I’m confused about this question

Answers

angle B is 102° bc 180-78=102 and if sides DB and BC are congruent, angles D and C must also be, so you can use the original 78 and divide by 2 to get 39° for angle C

h + 9.3 = −9.3? please solve it for me

Answers

Answer:H+9.3 = -9.3 : H = -18.6 (pls brainless)

Step-by-step explanation:

Subtract 9.3 from both sides.

H + 9.3 - 9.3 = -9.3 - 9.3

Simplify:

H= -18.6

move the the terms not containing h to the right side the equation.

h=-18.6

-18.6+9.3=-9.3

So yes the answer to h+9.3=-9.3 is correct

Be prepared!!! Help please!!!! What is 1/3x 3.14x6^2x11 equal????

Answers

I believe it’s 414.48

Find the area of a square with the side lengths of (1/2x+2)

Answers

Answer: There are no like terms

Step-by-step explanation:

p-(p-q)-q-(q-p)

can any one write down the answer with explanation I'll also mark brainliest​

Answers

Ans:
p - (p - q) - q - (q - p)

= p - p + q - q - q + p

= - q + p


Notes:

- x - = +

+ x - = -

- x + = -

+ x + = -


‘+’ means a positive number
‘-’ means a negative number
‘x’ means times

Hope it helps:)

WILL MARK BRAINLIEST!!!

This is a continuation to the other question

Answers

Answer:

m=86 degrees

x=98 degrees

Step-by-step explanation:

1:

the angles of a triangle are 180

180-71-23=86

m=86

2:

the angles of a triangle are 180

180-52-30=98

x=98

hope this helps and is right!


what is the value of x

Answers

Answer:

72

Step-by-step explanation:

72 since it has to opposite parall sides

Answer:

72

Step-by-step explanation:

The angles are equal because the sides are equal.

HELP ASAP!!!! HELP HELP

Answers

Answer:

proportional

Step-by-step explanation:

Answer:

I'm 99% sure it's Non-Proportional

Step-by-step explanation:

If you were to convert each of them into fractions and simplified them, they wouldn't be equivalent.

After a 40% discount, the cost of a sofa is $471.00. What was the original cost of the sofa? NEED HELP ASAP

Answers

Answer: $659.40

Step-by-step explanation: You start with 471.00 X 0.4 which equals $188.40. So then you add $471.00 and $188.40 and you get $659.40!

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

80% = $471

100% = $588.75

The original cost of the sofa is $588.75

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Original cost in percentage = 100% ____(1)

Cost after 40% discount = $471

This can be written as,

80% = $471 _____(2)

From (1) and (2) we get,

80% = 471

Multiply 100/80 on both sides,

100/80 x 80% = 100/80 x 471

100% = $588.75

Thus,

80% = $471

100% = $588.75

The original cost of the sofa is $588.75

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

Simplify: 2(10) + 2(x - 4)

Answers

Answer:

2x+12

Step-by-step explanation:

Multiply the numbers

2*10+2(x-4)

Distribute

20+2x(x-4)

20+2x-8

Subtract the numbers

20+2x-8

12+2x

Rearrange terms

2x+12

What is the value of y= 1/2x-1 x=4

Answers

Answer:

Y = 1

Step-by-step explanation:

X = 4

1/2 * 4 = 2

2 - 1 = 1

So, Y is equal to 1.

Hope this helps! :)

Answer:

The answer is 1

Step-by-step explanation:

1/2*4-1

2-1

1

How do I find x in this question?

Answers

Answer:

x = 8

Step-by-step explanation:

By Basic Proportionality Theorem:

[tex] \frac{3}{x - 2} = \frac{x}{x + 8} \\ \\ x(x - 2) = 3(x + 8) \\ \\ {x}^{2} - 2x = 3x + 24 \\ \\ {x}^{2} - 2x - 3x - 24 = 0 \\ \\ {x}^{2} - 5x - 24 = 0 \\ \\ {x}^{2} - 8x + 3x - 24 = 0 \\ \\ x (x - 8) + 3(x - 8) = 0 \\ \\ (x - 8)(x + 3) = 0 \\ \\ x - 8 = 0 \: \: or \: \: x + 3 = 0 \\ \\ x = 8 \: \: or \: \: x = - 3 \\ \\ \because \: length \: can \: not \: be \: - ve \\ \\ \implies \: x \neq - 3 \\ \\ \implies \: x = 8[/tex]

Together, the areas of the rectangles sum to 30 square centimeters.
3 cm
2 cm
cm
y cm
1. Write an equation showing the relationship between 3 and y.
Type the equation in the box below.
I

Answers

Answer:

3x+2y

Step-by-step explanation:

Find the rectangles attached

Area of a rectangle = Length * Width

A = A1+A2

given

A = 30cm²

A1 = 3 * x

A1 = 3x

A2 = 2*y

A2 = 2y

Substitute

30 = 3x+2y

Hence the required equation is 3x+2y = 30

Answer: 3x + 2y = 30

Step-by-step explanation:

A = L x W

The sum of the rectangle is 30.

One angle is 3 and x, the other one is 2 and y.

Multiply 3 with x = 3x.

Multiply 2 with y = 2y

Then create your equation plugging in 30 as the answer to 3x + 2y

If Isabelle chooses to read 5 books
with a total of 1260 pages, how much would she earn? And also I need the equation someone help I have to submit it by 10:30 :(

Answers

Answer:

I really don't know I just wanna know to

what is -2x – 10 = 4????

Answers

Answer:

x = -7

Step-by-step explanation:

-2x - 10 = 4

-2x = 14 | Add 10 to both sides

x = -7 | Divide both sides by -2

A camera has a listed price of $819.99 before tax. If the sales tax rate is 6.75%, find the total cost of the camera with
sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

The answer is $875.34

Step-by-step explanation:

I got this answer from first finding what 6.75% of 819.99

819.99 * 6,75% = 55.349325

Next I rounded it.

55.349325 = 55.35

Lastly, I added 819.99 plus 55.35

819.99 + 55.35 = 875.34

Hope this helps! :)

Can someone please help

Answers

Answer:

each hamburger costs $3.50

Step-by-step explanation:

he spent $13 in total and bought one hot dog for $2.50 and 3 hamburgers but we don't know the price of one hamburger so we could represent it by the equaton,

2.50 + 3h = 13 now solve for x

-2.50           2.50

3h = 10.50

h=3.50

check:

2.50+3(3.50)=13

2.50+10.50=13

13=13

What is the surface area of the cylinder
A. 80nft2
B. 112nft2
C. 88nft2
D. 96nft2

Answers

It would be A. 10x8=80nft2

pls help im bad at math​

Answers

Answer:

SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Step-by-step explanation:

Its SSS

You expected to walk 80 km in a day. You walked only 75 km. What was the percentage error?
596
6.25%
6.6796
93.3396

Answers

Answer:

Um my answer is 6.66666666667, so you could use this to help you (sorry i didn't get actual answer)

Step-by-step explanation:

The cost of renting a bowling alley for a party is $110, plus $5 a person for food. Which equation can be used to find the total cost, C, of a party at a bowling alley for x friends?

Answers

Answer:

c=110+5x

Step-by-step explanation:

The equation that represents the total cost is C = 5x + 110.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expense of leasing a bowling alley for a party is $110, in addition to $5 an individual for food.

Let 'C' be the total cost and 'x' be the number of friends. Then the equation is written as,

C = 5x + 110

The equation that represents the total cost is C = 5x + 110.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Other Questions
-20x(-5)-50 evaluate The main purpose of the caption " The War" is to...A. Explain why World War II startedB. Help readers understand why the Indianapolis was torpedoed by a Japanese submarineC. Explain how the war affected the worldD. Help readers understand why the U.S. entered the war TIME REMAINING59:50The table shows the mean number of basketball goals made by four random samples of players from the school teamduring this year's season.Sample #Sample MeanNumber of Goals71423548Is a valid prediction for the mean of the population possible using these samples?O No, there are not enough samples.Yes, the sample means are all less than 10.Yes, the variation of the sample means is small.O No, the variation of the sample means is too great.Mark this and retumSave and ExitNextSubmit Which of the following contributed to the outbreak of the Mexican War?How did the construction of the Erie Canal improve transportation in the United States in the 1820s? A. The canal connected the Great Lakes to the Ohio River. B. The canal connected the Great Lakes to the Atlantic Ocean. C. The canal connected the Atlantic and Pacific Oceans. D. The canal connected the Great Lakes to the Mississippi River. PLEASEEE HELPP!!!!!!!!!!!!!!!!!!!! Solve 2(x + 1) = 2x + 5. (1 point) If a is 3, b is 4, and c is 5, is the equation true or false? Oraciones con :bruidoninfasdivanesemporioscamomrrinoplomizacpula How many molecules are there in 5.9 moles of NaCl? Correct the mistake in thissentence.Sam had finished hishomework so his parentslet him play Nintendo. !!!Ill mark brainlest and its worth 30 points, its for a math test and im really confused.!!!If angle 1 = 55, what is angle 5?A. 55B. 40C. 35D. 25thanks ;) Which expression is equivalent to .........? .................. PLEASE HELP ME GIVE ME THE ANSWER AND TELL MME STEP BY STEP HOW U GOT IT ILL MARK U BRAINLIEST Jorge swam a total of 173 minutes during 3 days. He swam the same number ofminutes each day, Which of the following is the best estimate of the number ofminutes Jorge swam each day?o60402030 Solve for x.71X42 .An event or situation that produces a result is _____.an effectan impacta clue worda cause Which of the following are examples of sexual reproduction? In context, the authors use of the word preposterously (paragraph 5, sentence 2) suggests that he considers his opponents views to be A. unintentionally funny B. laughably insignificant C. greatly overstated D. seemingly unethical E. generally incoherent Select a number shown by the model . Check all that apply . How did the Treaty of Versailles cause WW1 (DBQ)