Noah works at a concession stand selling bags of popcorn and cans of soda. A bag of popcorn costs $2.50 and a can of soda costs $1.50. One night, he notices that he sold a total of 300 items and collected a total of $522. Determine the system of equations that could be used to solve this problem, where x represents the number of bags of popcorn sold and y represents the number of cans of soda sold

Answers

Answer 1

Set up 2 equations:

Total items sold: x + y = 300

This gets rewritten as x = 300-y

The second equation is for total amount made:

2.50x + 1.50y = 522

Replace x in the 2nd equation with the value of x from the first one:

2.50(300-y) + 1.50y = 522

Simplify:

750 - 2.50y + 1.50y = 522

Combine like terms:

750 - y = 522

Subtract 750 from both sides:

-y = -228

Divide both sides by -1 ( to make y positive)

y = 228

Now replace y in the first equation to solve for x:

x+ 228 = 300

Subtract 228 from both sides:

x = 72

He sold 72 bags of popcorn and 228 sodas.


Related Questions

100 points!!! Show your work on paper

Answers

Answer:

10 cm, 15 cm

Step-by-step explanation:

Set ratios and solve for x

Corresponding sides are AC with A'C' and CB with C'B'

AC/A'C' = CB/C'B'(x - 1)/2 = (x + 4)/33(x - 1) = 2(x + 4)3x - 3 = 2x + 83x - 2x = 8 + 3x = 11

Find the values of AC and CB:

AC = x - 1 = 11 - 1 = 10 cmCB = x + 4 = 11 + 4 = 15 cm

Answer:

AC=10cm

BC=15cm is your answer

How do I solve for x correctly?

Answers

Answer:

x = 3

Step-by-step explanation:

[tex] \triangle TFG\sim \triangle TUV... (given) [/tex]

[tex] \therefore \frac{FG}{UV}=\frac{TG}{TV} ... (csst) [/tex]

[tex] \therefore \frac{45}{63}=\frac{10x+5}{49} [/tex]

[tex] \therefore \frac{5}{7}=\frac{10x+5}{49} [/tex]

[tex] \therefore 10x+5= \frac{5\times 49}{7} [/tex]

[tex] \therefore 10x+5=5\times 7 [/tex]

[tex] \therefore 10x+5=35 [/tex]

[tex] \therefore 10x=35-5 [/tex]

[tex] \therefore 10x=30 [/tex]

[tex] \therefore x=\frac{30}{10} [/tex]

[tex] \therefore x=3[/tex]

The answer is:
x = 3

Marks own a carpet store and sells hallway runners for k9.52/linear foot. a) How much is this per linear yard? b) How much is the per linear Meter? C) Ralph needs 3.9m of the runner for his hallway. How much will it cost? Full working out. Please calculate this for me​

Answers

Answer:

28.56/linear yard

32.2256/linear meter

121.77984k

Step-by-step explanation:

a) Scale = k9.52*3 = 28.56/linear yard

b) Scale = k9.52*3.28 = 32.2256/linear meter

c) Cost = 3.9 * 32.2256 = 121.77984k

PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!!!!!!!!
here are some screenshots to help figure out the area of the figure!
thank you in advance!
btw im giving out 100 points and a brainlest so make sure to answer correctly.

Answers

Answer:

10

Step-by-step explanation:

I found the anser by multiplying 5 * 4 = 20, and then multiplying 2 * 2 = 4, then 3 * 2 = 6. Next you add 6 and 4, which equals 10. Finally you subtract 10 from 20 to find your answer of ten.

Hope this helps

Use elimination to solve the system of equations.

x – y = 5

x + y = 3


a
(–4, –1)
b
(4, 1)
c
(–4, 1)
d
(4, –1)

Answers

Answer:what

Step-by-step explanation:

what

I need help with this math problem please help.

Answers

Answer:

A

Step-by-step explanation:

since the shaded area is before x=-3 and x=-3 is a dashed line, x<-3 is the answer for x. That knocks out half the answers. the slope intercept form for the other line is y=-x-1. The answer with the slope as y would be the answer for the second half. A has both answers correct. (sorry for bad explaination, I am not a native speaker)

pls pls guys pls pls pls pls pls

Answers

Step-by-step explanation:

area of the parallelogram = height (h) × base ( b)

=. 4 m × 6 m

=. 24 m²

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

PLEASE HELP I AM STUCK

Answers

Answer:

Do the pythagor theorem and add 5

It's 65

Kenise will begin college as a freshman next fall and has received a 10-year $5,500 Federal Direct Unsubsidized Loan with an interest rate of 6.8%. She will be required to begin making payments six months after graduation. How much interest will accrue while she is still in school and over the six-month grace period? Please round to the nearest dollar. Do not include the dollar sign.

Answers

Answer: $‭3,927‬

Step-by-step explanation:

The interest will accrue as a simple interest rate for 10 years and then the grace period of six months.

The total time is therefore: 10.5 years.

Interest for those 10.5 years is:

= Loan amount * No. of periods * interest rate

= 5,500 * 10.5 * 6.8%

= $‭3,927‬

16 emails to 6 text messages- 10 emails to 4 text messages proportional or not

Answers

Given:

16 emails to 6 text messages- 10 emails to 4 text messages

To find:

Whether 16 emails to 6 text messages- 10 emails to 4 text messages proportional or not.

Solution:

Check the ratio of emails to text. If the ratios are equal then the relation is proportional.

16 emails to 6 text messages.

[tex]\dfrac{Emails}{Text}=\dfrac{16}{6}[/tex]

[tex]\dfrac{Emails}{Text}=\dfrac{8}{3}[/tex]

[tex]\dfrac{Emails}{Text}=8:3[/tex]

10 emails to 4 text messages.

[tex]\dfrac{Emails}{Text}=\dfrac{10}{4}[/tex]

[tex]\dfrac{Emails}{Text}=\dfrac{5}{2}[/tex]

[tex]\dfrac{Emails}{Text}=5:2[/tex]

Since [tex]\dfrac{8}{3}\neq \dfrac{5}{2}[/tex] or [tex]8:3\neq 5:2[/tex], therefore, it is not proportional.

From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28°. How tall is
the tower (remember: 3 decimal places)?
The height of the tower is [A] m.

Answers

Answer:

42.537 m

Step-by-step explanation:

Let x = height of tower

tan 28 = x/80

x = 80 tan 28

x = 42.537 m

Solve 5x -2.5 = 17.5

Answers

Answer:

x=4

Step-by-step explanation:

5x-2.5=17.5

5x=17.5+2.5

5x=20

x=20/5

x=4

The solution of the given equation is x=4

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We are given the equation as;

5x-2.5=17.5

Solving for x;

5x=17.5+2.5

5x=20

x=20/5

x=4

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

you want branliest.more branliest giving out

Answers

Answer:

that is a cute dog

Step-by-step explanation:

1. very fluffy

2. small

3. sleeping

4. teddy bear dog :D

Round 7.5 to nearest whole number

Answers

Answer:

The answer is 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

When a number has .5 after it you round up.

So, if a number has 5, 6, 7, 8, or 9 after the decimal round up

If a number has 1, 2, 3, or 4 after the decimal round down

Hope this helps!!

- Kay :)

simplify and factor this expression; 12x+18y+18x​

Answers

12x + 18y + 18x
combine like terms
30x + 18y
factor out 6
6 (5x + 3y)

Answer:

15x+9y

Step-by-step explanation:

1) Add: 12x+18x+18y= 30x+18y

2)Factor (divisible by 2)

3)Divide 2 from 30 and 18 so,

4)15x+9y

what is the Multiplicative of -12​

Answers

multiplicative would be ;

-12 ------> 1/-12

16 Which equations represent a relationship where у
is a nonlinear function of x? Select all that apply.
A. y= 4x
B. x = - 6y
C. y = |x| + 1
D.
y=2+1
х
E. x - 5y = 2
F.
1 1
y = +

Answers

Answer:

b

Step-by-step explanation:

what is a collection of numbers and mathematical operations

Answers

Answer:

Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.

Step-by-step explanation:

dekh mujhe brainliest mark karde agar nahi kiya toh tujhe report kardunga

Answer:

An algebraic expression is a collection of numbers, variables, operations, and grouping symbols. You will translate an unknown number as the variable x or n. The grouping symbols are usually a set of parentheses, but they can also be sets of brackets or braces.

Q2. Match the event with the most appropriate probability word: If a
multiple of 8 is chosen at random it will also be a multiple of 2.
Likely
Impossible
Certain
Evens
Unlikely
Other:

Answers

Certain. Why? Because If it’s a multiple of 8 it will ALWAYS be divisible by 2.
Please mark as “brainliest” it will earn you points!

Is the area of a room measured in cm2 or m2

Answers

Answer:

m² would be the best unit if you want to measure a room.

Step-by-step explanation:

The unit cm² is too small and would be less exact.

Identify the pattern for the following sequence. Find the next three terms in the sequence.
-15, -11, -7, -3,
a. Subtract 4; -7, -11, -15
b. Add 4; 2, 6, 10
C. Subtract 4: 1,5, 9
d. Add 4; 1,5,9

Answers

Answer:

d. add 4; 1, 5, 9

Step-by-step explanation:

to get from -15 to -11, they had to add 4, and so on.

-3+4= 1

1+4= 5

etc.

19/20 and 23/25 common denominator

Answers

Hello!

The common denominator is 100.

~Sophia

if x=5 find the value of x squared

Answers

Answer: [tex]5^{2}[/tex] is 25. This is because 5 x 5 is 25.

Step-by-step explanation:

Answer:

squared is the result of multiplying a number by itself so if x= 5 then, 5 X 5 = 25 or [tex]5^{2} \\[/tex]

Step-by-step explanation:

Match each part of this algebraic expression with this appropriate description

Answers

Answer:

1) x and y --> Variable(s)

2) 1/6 --> Constant(s)

3) 12.1, 4.7, and 6 --> Coefficient(s)

4) 12.1x and 6x --> Like Terms

5) 12.1x, 4.7y, and 1/6 --> Terms

Plzzz help its easy points and easy question im just dum!! What is the slope view image below.

Answers

Answer:

0.5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

It's okay, you're not dum, you might have just not payed attention in online class or you might have forgotten.

We can find the slope by using 2 coordinates that are on a line.

We can choose any of the coordinates from this table. I'm gonna use (0, 4) and (2, 5)

The formula for find the slope is the rise over the run or

y1 - y2 / x1 - x2

4 - 5 / 0 - 5

-1 / -5

1/5

The slope is 1/5

I need help pls this is to confusing

Answers

Answer: the value of a is less than b because its to the left

Step-by-step explanation:

which number can be placed in the box to the
1 x 0 < 7 /
multiplying a fractions that
we
multiplying a fraction by all sake the
tolgatan greater than the
Les resep vieg traction greater than it

Answers

Answer:

A

Step-by-step explanation:

For the equation to be true, any number that would be multiplied by 7/5 should give us a number that is less than 7/5.

This means any number we are going to use to multiply 7/5 must not be less than 1.

²/3 is less than 1.

Let's multiply and see:

⁷/5 × ⅔ < ⁷/5

14/15 < ⁷/5 (this is true because ⁷/5 is greater than 14/15)

Therefore, the answer is A.

A vendor has 10 balloons for sale: 5 are yellow, 2 are red, and 3 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow?



Answers

Answer:

4/9

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

T-shirts are on sale for 40% off. The original price per t-shirt is $20. What is the total cost, in dollars, of 8 of these t-shirts at the sale price, including an 11% sales tax?

Answers

Answer:

$106.56

Step-by-step explanation:

discounted price of each shirt is $12

12 x 8 = $96 for 8 shirt

96 x 1.11 = $106.56

Darren wants to save 1,125 for his vacation. When he saved 3 times as much as he has already saved, he will need only 27 more. how much has he saved so far​

Answers

Answer:

125

Step-by-step explanation:

the answer is 125. hope helped bye
Other Questions
which number is greater tha 9/4 Which substance helps the body get rid of waste? PLSSS HELPA. carbohydrateB. fiberC. proteinD. fat Add the same number to both the numerator and the denominator ofthe fraction 7/17, to change it to 3/5. Identify the inequality graphed on the number line. A) x - 8 < 3 B) x + 8 < 3 C) x - 8 < -3 D) x + 8 < -3 A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2106, How many children, students, and adults attended? !BRAINLIST! please help me with this QUICK! Write a paragraph about a popular TV program. Who usually watches the program? Why is it popular? what is the precent of change from 92 to 108 Andrew filled a bucket with 7/10 of a gallon of water. A few minutes later, he realized only2/5 of a gallon of water remained. How much water had leaked out of the bucket? There are 50 students in a class and their annual result is presented in the following table:Result fail , 7 students pass, 43 studentsIf a student is selected at random find the probability that the student has passed the examination. i need the type of properties why is the living standard of people involved in agricultural low in Nepal? give any four reasons What does y = 1/3x + 5 look like on a graph? PLEASE HELP ASAP IM TIMED!!!!What can the reader infer about Cassius in the passage?A.He wants to be King of Rome.B. He want Brutus to trust him.C.He wants Brutus to be jealous of him.D.He wants to conspire against Caesar. The shades of colour that adorn the breast of the humming bird is quite brilliant. (True/False) Is the relation a function ? Match each type of adjusting entry with its definition.Deferred revenueAccrued expensesPrepaid expensesAccrued revenueMatch each of the options above to the items below.Receive cash in the current period that will be recorded as a revenue in a future period.Record an expense in the current period that will be paid in cash in a future period.Record a revenue in the current period that will be collected in cash in a future period.Pay cash (or have an obligation to pay cash) in the current period that will be recorded as an expense in a future period. What is 30% of 42?Ive given up on my hw pls help Estimate the average rate of change from x=2 to x=5 Select the song that you like and scan the lyrics nothing to rhyme scheme and meter. Can you respond to these questions. What rhyme scheme in mirror does the lyrics have? Is it a centimeter or does it vary?How do you think the song type influence is the kind of meter it has? Would you expect to find a similar rhyme scheme and meter in the other songs in this genre?