A vendor at a baseball game sells boxes of popcorn and bags of pretzels.
• A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.
• Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00.
Each bag of pretzels costs $

Answers

Answer 1

Answer:

Each bag of pretzels costs $1.75

Step-by-step explanation:

Let the cost of 1 box of popcorn be $x

Let the cost of 1 bag of pretzel be $y

_______________________________________

A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.

cost of 2 box of popcorn =2*$x = $2x

sum of cost 2 boxes of popcorn and 1 bag of pretzels in terms of x and y

2x + y = 6.75    equation A

__________________________________

Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00

cost of 2 box of pretzel =2*$y = $2y

sum of cost of 1 box of popcorn and 2 bags of pretzels in terms of x and y

x + 2y = 6 equation B

x = 6 - 2y

substituting this value of x in equation A

2(6 - 2y) + y = 6.75  

=> 12 - 4y + y = 6.75

=> -3y = 6.75 - 12 = -5.25

=> y = -5.25/-3 = 1.75

Thus,  Each bag of pretzels costs $1.75


Related Questions

The afternoon temperature in Biscoff Bay was – 2°F. By midnight, a warm front moved in and the temperature rose to 11°F. What was the change in temperature from afternoon to midnight? To solve the problem, Ross subtracted 11–( – 2) and came up with an answer of 13°F. Is Ross correct? Why or why not?

Answers

Answer:

Ross is correct. He is right because if you do 11- (-2) the double negatives turn into a positive and the answer is 13.

The answer is "Yes", Ross is right, and the temperature change will be 13 °F.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the mentioned data in the question,

The afternoon temperature in Biscoff Bay = -2 °F

The temperature rose at midnight = 11 °F

Then, the change in temperature will be,

It is changing from -2 °F to 11 °F then,

= 11 - (-2) = 13 °F

To know more about arithmetic operations:

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Given the equation: y=(x-1)(x+3). what are the x-intercepts? *

Answers

Answer:(

(1,0),(-3,0)

Step-by-step explanation:

Enter the decimal 1.18 as an improper fraction in simplest form.

Answers

Answer:

59/50

Step-by-step explanation:

118/100 divided by 2/2

=59/50

At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green, and blue. There are 8 boxes of each color. All the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color? (1 point) 8 over 32 multiplied by 8 over 31 8 over 32 plus 8 over 31 8 over 32 plus 7 over 31 8 over 32 multiplied by 7 over 31

Answers

Answer:

32 multiplied by 8 over 31 8 over 32 plus

Step-by-step explanation:

i think this is the answer not quite sure tho

Answer:

32 multiplied by 8 over 31 8 over 32 plus

Step-by-step explanation:

Mr. Chong celebrated his seventy fifth birthday in 1998. In what year was he born?

Answers

Answer:

1924

Step-by-step explanation:

1998

-   75

--------

1924 so he was born in 1924

1924 bc you would just subtract

Please answer fast! (10 points)

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Line m has no y-intercept, and its x-intercept Is (3, 0). Line n has no x-intercept, and its y-intercept Is (0, -4).
The equation of line m is ____
and the equation of line n is ____

Answers

Answer:

can u show me a picture of this problem.

Step-by-step explanation:

Give another name for line g

Answers

Answer:

line b

Step-by-step explanation:

Defined as a set of all points equidistant from a given point.
A)
arc
B)
angle
C)
circle
D)
line segment

Answers

Answer:

C

The answer is C and the distant from a given point to a point on the Circle is radius

HELP ME PLEASE I NEED THIS and tell me how to solve for it

Answers

Answer:

616.6 square cm

Step-by-step explanation:

Area of a regular octagon

[tex] = 2 {a}^{2} (1 + \sqrt{2} ) \\ = 2 \times {12}^{2} (1 + 1.414) \\ = 2 \times 144 \times 2.141 \\ = 288 \times 2.141 \\ = 616.608 \\ = 616.6 \: {cm}^{2} [/tex]

616.6 cm square is the answer

Help please solve by factoring

Answers

We know that 6x(-7) is -42 and we also know that 6+(-7) is -1.

So we can write

[tex]x^2+6x-7x-42[/tex]

[tex]x(x+6)-7(x+6)[/tex]

[tex](x-7)(x+6)[/tex]

So our solutions are [tex]x=7,-6[/tex]

Jamal drew the function below. Which explains whether or not his function is linear?

Answers

His function is linear because it graphs out a straight line. If you were to pick any two points on that line, and find the slope, you should find that the slope is the same no matter which two points you picked.

Answer:

linear

Step-by-step explanation:

there's a constant rate of change/constant slope and the function is a straight line

give the slope of the line (if it exists) and the y intercept (if it exists) and graph the line 5y=3. what is the slope?​

Answers

Answer:

0

Step-by-step explanation:

what number is 10 times less than 20?​

Answers

Answer:

180

Mathematically, 10 times less than 20 would be: Take 20, subtract (10 x 20). Answer: -180.

1/5(6+3+1)^2


Need answer asap

Answers

20


step by step explanation:

This is a serious question.

What is 69 x 1 59/20

Will give brainliest

Answers

Answer:

10971/20

Step-by-step explanation:

69 * 159/20

69/1 * 159/20

69 * 159 = 10971

1 * 20 = 20

So the answer is basically 10971/20.

How do you solve 2 1/3 + 5y = 4

Answers

Answer:

Not sure but that's my answer

can someone help pls 20 points

Answers

56 is between the whole numbers 49 and 64
56 is between those!!!!!!!!

help me please! don’t right nonsense! i have 15 minutes left!

Answers

Answer:

let M(-3,-4) be (x1, Y1)

    T(5,0) be (x2,y2)

m:n = 2 : 3

using section formula

Q(x,y) =  {mx2 + nx1/(m+n), my2 + ny1/(m+n)}

        { ( 10 -9)/5, (0 -12)/5}

         (1/5, -12/5)

This could be answer if internally

What is the prime factorization of 96? 8 · 12 2 · 2 · 2 · 2 · 3 25 · 3 25 · 32

Answers

Answer:

2^5 *3

Step-by-step explanation:

You can solve this multiple ways but should get 2^5*3

Answer:

[tex]2^5*3[/tex]

Step-by-step explanation:

[tex]96\\\\=2*48\\\\=2*2*24\\\\=2*2*2*12\\\\=2*2*2*2*6\\\\=2*2*2*2*2*3\\\\=2^{5}*3[/tex]

Which equation has the solution x =
3?
8x – 1= 23
Submit Answer
O 82 +1= 21
6x + 3= 81
6x + 7 = -25

Answers

Let's solve each equation for x

8x - 1 = 23

Add 1 to each side.

8x = 24

Divide both sides by 8

x = 3

Luckily, we already found the equation which has the solution of x = 3

The answer is: 8x - 1 = 23

what is 2 (x+2) + 3x =2 (x+1) + 1

Answers

Step-by-step explanation:

2x+4 +3x = 2x +2 +1

4+x= 2x+3

4-3=2x-x

1=x

x=1

2x+4+3x=2x+2+1
5x+4=2x+3
-4 -4
5x=2x-1
—=———
5 5

ANSWER :
x= 2x-1
——
5

A right triangle has one vertex on the graph of y = x^8, x>0, at (x, y), another at the origin, and the third on the positive y-axis at (0, y), as shown in the figure. Express the area A of the triangle as a function of x.​

Answers

Answer:

Area = [tex]\frac{1}{2}x^{9}[/tex]

Step-by-step explanation:

From the graph attached,

Triangle given is a right triangle.

This triangle ha three vertices (0, y), (x, y) and (0, 0).

Therefore, measure of the base = x units

And measure of the height of the triangle = y units

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                             = [tex]\frac{1}{2}(x)(y)[/tex]

Since, y = [tex]x^{8}[/tex]

Therefore, Area of the triangle = [tex]\frac{1}{2}(x)(x)^8[/tex]

                                                   = [tex]\frac{1}{2}x^{9}[/tex]  

Area of the given right triangle is [tex]\frac{1}{2}x^{9}[/tex] units².

How do you solve this equation?
13 – 3r =-26

Answers

Answer:

r = 13

Step-by-step explanation:

-3r=-26-13

-3r=-39 divide by 3

r=13

Step-by-step explanation:

13 - 3r = -26

13 − 3r −13 = −26 − 13

−3r=−39

divide by 3

r = 13

Willie makes $0.12 off of every shirt he sells. He sold 179 shirts this week, how much did he make in total?

Answers

Answer:

$21.48

Step-by-step explanation:

0.12*179=21.48

Each year, the science club puts on a science show for the students in the elementary school. Luis is planning demonstrations to show properties of metals. For one property, he decides to use a ball of pizza dough and a rolling pin.

Which property of metals is Luis most likely going to demonstrate using these materials

luster
opacity
conductivity
malleability

Answers

Answer:

D. Malleability because he is most likely going to show how you can easily roll pizza dough

Step-by-step explanation:

Answer:

malleability or D

Step-by-step explanation:

can someone help me answer this please

Answers

It would be the third option :)

−2π

Is this rational or irrational

Answers

-2 x 3.14 is Irrational

It is irrational.

π is an irrational number.

It follows that -2π is also irrational number.

What is the solution to the equation 3x + 2(x − 9) = 8x + x − 14? (5 points)

Answers

Answer:

x= -1

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

3x+2(x-9)=8x+x-14 ;; equation

simplify the equation to the form

3x+2(x-9)=8x+x-14

reorder the terms in parentheses

3x+(+2x-18)=8x+x-14

remove unnecessary parentheses

+3x+2x-18=+8x+x-14

move all terms containing x to the left and all other terms to the right.

+3x+2x-8x-1x=-14+18

simplify left and right side of the equation.

-4x=+4

divide both sides of the equation by -4 to get x.

x=-1

A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs $38 and a microphone that costs $c What did the teacher spend on each microphone? The teacher spent $ ___on each microphone. Question 2 Justify your answer.

Answers

The teacher spend some amount on buying costumes and microphones for 6 cast members.

GiveN:

Cost of each costume = $38Cost of each microphone = $cTotal money spent = $354

Let's frame the equation. Total money is the total amount spent for 6 cast members.

Money spent on costumes = $38 × 6

Money spent on microphone = $c × 6

Equation:

[tex]6 \times 38 + 6 \times c = 354[/tex]

Taking 6 as common,

[tex]6(38 + c) = 354[/tex]

Dividing 6 from both sides,

[tex] \dfrac{6(38 + c)}{6} = \dfrac{354}{6} [/tex]

[tex]38 + c = 59[/tex]

Solving further,

[tex]38 + c - 38 = 59 - 38[/tex]

[tex]c = 21[/tex]

So, the cost of each microphone = $21

The teacher spent this much on each microphone.

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

The teacher spent  $21 on each microphone.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

The total amount of teachers have = $354

Cost of costume for all 6 members ;

6 × 38 = $228

Cost of microphone for all 6 members ;

6 × c = 6c

Now,

Cost of microphone  + Cost of costume =  total amount

6c + 228 = 354

6c = 126

c = 21

Hence "The teacher spent  $21 on each microphone".

For more about the equation,

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Please help. What is the slope for #2?

Answers

Answer: -4

Step-by-step explanation:

To find the slope, you want to use the slope formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. You can use any two points to solve. Let's use (-2,3) and (-1,-1).

[tex]m=\frac{-1-3}{-1-(-2)} =\frac{-4}{1} =-4[/tex]

Another way to tell is by looking at the arrows with a -4 written next to it. That also tells you what the slope is.

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