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

Please help! x=6 and b=3 5(x+b)-b

Answers

Answer:

the answer to the question above is 42

Step-by-step explanation:

5(6+3)-3=42

Answer:

42!

Step-by-step explanation:

5(6+3)-3

30+15-3

45-3

42!

Hope I helped! :D

if i weigh 210 and i need to loose 5 pounds a month in 6 months what is my end weight

Answers

That would be 180 cuz you lose a total of 5 pounds per 6 months so30 pounds. Then 210 minus 30 is 180

There are 28 butterflies in the garden. Some are blue and some are yellow. If b represents the number of blue butterflies in the garden, which expression represents the number of yellow butterflies in the garden?

Answers

Answer:

y = 28 - b

Step-by-step explanation:

you can find the number of yellow butterflies, y, by subtracting the number of blue butterflies, b, from the total number of butterflies which is 28.

Evaluate the following expression for x = 4.


1+3(x-1)-2x

Answers

Answer:

2

Step-by-step explanation:

1+3(x-1)-2x

Substitute the value of x into the equation:

1 + 3(4-1) -2 (4)

1 + 3(3)- 8

1 + 9 - 8

2

Let f(x)=2x-5 and g(x)=x^2
Perform the function operation (f-g)(x)

Answers

Answer:

2x - 5 - x²

Step-by-step explanation:

note (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 2x - 5 - x²

Please answer the question and give an explanation. Will give brainliest.

Answers

Step-by-step explanation:

By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.

This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.

So z = 3.2 (1 d.p.)

Step-by-step explanation:

x=4.2

y=2.7

z=x

(×+y=×

(4.2+2.7=×)

×=6.9

6(1 + 5n) − 6n = 174

Answers

Answer:

N=7

Step-by-step explanation:

1. Distribute the 6 into the parentheses

6+30n-6n=174

2.combine like terms

6+24n=174

3. Subtract 6 on both sides

24n=168

4.now divide

24/24 cancels out 24/168 is what 7 soooo

n=7

Which equation represents a line which is parallel to the line y=-3/4 x -2

Answers

Answer:  Any equation that is of the form y = -3/4x + b, where b is a real number, will be parallel to y = -3/4x - 2.

Step-by-step explanation:

A parallel line has the same slope as the original line.  Therefore, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.

The equation  y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2

What is a linear function?

A function that can be represented in the form of y =mx +c, is called a Linear Function. where m is the slope and c is the y-intercept.

The slope of the given line can be found as;

A parallel line has the same slope as the original line.  Thus, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.

Any equation that is of the form y = -3/4x + b,

where b is a real number, will be parallel to the equation.

y = -3/4x - 2.

m = -3/4

The equation  y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2

To know more about Linear Functions;

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The lengths of the sides of a triangle are consecutive integers. If the perimeter of the triangle is 111, find the lengths of the sides.

Answers

Answer:

we know

perimeter of triangle = sum of all sides

here lengths of sides are consecutive integers so

length  of three sides = x, (x+1) and (x+2)

now

Perimeter = 111

or,  x + (x+1) + (x+2) = 111

or 3x + 3 = 111

or 3x = 108

x = 36

x = 36

(x+1) = 36 + 1 = 37

(x+2)= 36 + 2 = 38

5x-2=3x+4
which one?
x=1
x=2/3
x=-3
x=3

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

[tex]\boxed {\tt x=3}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]5x-2=3x+4[/tex]

We want to solve for x, therefore we must isolate x on one side of the equation.

First, move all the constants to one side of the equation. 2 is being subtracted from 5x. The inverse of subtraction is addition. Add 2 to both sides.

[tex]5x-2+2=3x+4+2[/tex]

[tex]5x=3x+4+2[/tex]

[tex]5x=3x+6[/tex]

Next, move all the terms with variables to one side. 3x is being added to 6. The inverse of addition is subtraction. Subtract 3x from both sides.

[tex]5x-3x=3x-3x+6[/tex]

[tex]5x-3x=6[/tex]

[tex]2x=6[/tex]

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{6}{2}[/tex]

[tex]x=\frac{6}{2}[/tex]

[tex]x=3[/tex]

x is equal to 3 and the correct answer is D. x=3

how does a triangular prism look

Answers

Answer:

its like a 3d rectangle triangle

Step-by-step explanation:

yes

A is the midpoint of BC.
BA = 3x+8
AC=23.
solve for x

Answers

Since A is the midpoint of BC, we can assume BA and AC are equal to each other.

We also know that BC = BA + AC = 23 + 23 = 46

Since A is the midpoint of BC, A divides BA and AC equally.
Therefore, BA=AC.
Since BA=AC,
3x+8=23
Or, 3x= 23-8
Or, 3x= 15
Or, x=15/3
Therefore, x=5.
Ans: x=5.

6(x – 1) = 9(x + 2) solve for x

Answers

It’s -8 the answer for your question

If u=18, x=−10, and y=8 what is the value of u+xy?

Answers

Answer:

u+xy=18+(-10)8

=18-80

= -62

What is the quotient of 9.5 divided by 2

Answers

the answer is 4.6 because I divided it

The quotient of the division are solved and A = 9.5/2 = 4.75

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the numerator of the fraction be p

where the value of p =  9.5

Let the denominator of the fraction be q

where q = 2

Now , the fraction is A = p/q

On simplifying the expression , we get

So , the left hand side of the equation is equated to the right hand side by the value of p/q

A = 9.5/2

On further simplification , we get

A = 4.75

Therefore , the value of A = 4.75

Hence , the fraction is A = 4.75

To learn more about fractions click :

https://brainly.com/question/29766013

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3(6-f)-4=3f-4
Solve for f

Answers

Answer:

 3=f

Step-by-step explanation:

3(6-f)-4=3f-4

18- 3f=3f-4

14-3f=3f-4

14=6f-4

18=6f

3=f

Answer:

f=3

Step-by-step explanation:

Help me please!!! Find the distance between the points (-3,-1) and (5,-1)

Answers

Answer:

D = 8

Step-by-step explanation:

[tex]d= \sqrt{(5-(-3))^2+(-1-(-1))^2} \\d= \sqrt{(8)^2+(0)^2} \\d= \sqrt{64+0} \\d= \sqrt{64} \\d= 8[/tex]

i need help please and thanks a lot ​

Answers

Step-by-step explanation:

[tex] \huge \: K = \frac{1}{2} m {v}^{2} \\ \\ \huge \: 2 K =m {v}^{2} \\ \\ \huge \purple{ \boxed{m = \frac{2 K}{ {v}^{2} } }}[/tex]

4+10=-2(8x-7) this dosent make any sence to me. can someone help me out

Answers

Answer: x=0

Step-by-step explanation:

(you are trying to find x)

4+10=-2(8x-7)

2+5=(8x+7)

7=(8x+7)

0=8x

x=0

Pls rate this brainliest

If h = -19 and j = 16, what is
[tex] \sqrt{j - h} [/tex]

Answers

Add 16 and 19 in the root.
Answer is root of 35.

Answer:

[tex]\sqrt{35}[/tex]

Step-by-step explanation:

h =-19

j =16

[tex]\sqrt{j-h} = ?[/tex]

Substitute values into the given equation

[tex]\sqrt{16-(-19)} \\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=\sqrt{16+19}\\\\\mathrm{Add\:the\:numbers:}\:16+19=35\\\\=\sqrt{35}[/tex]

5 (n - 14) =2 (n + 14)​

Answers

Answer:

n= 98/3

Step-by-step explanation:

1. Complete distributive property *5(n-14)* and *2(n+14)*

5n-70=2n+28

2. Subtract 5n from both sides

-70=-3n+28

3. Subtract -70 from both sides

-98=-3n

4. Divide the variable from both sides *-3n*

-98/-3

5. Simplify

98/3

Final Answer:

98/3

Gabe bought 8 bananas at the market for $1.84. Lucy bought 6 bananas at the grocery store for $2.10 . One banana at the grocery store is $ _______________ more than one banana at the market.

Answers

35p


2.10 divided 6 =35p

Answer:

one banana at the grocery store is 12 cents more than on banana at the market

Find the domain and range of the following absolute value functions. fx)=|x-1|+2 I’ll mark brainliest to whoever answers first

Answers

Answer:

Domain is All Real x.

Range is f(x) ≥ 2.

Step-by-step explanation:

The vertical lines about the x - 1 means the Absolute value ( always positive).

|x - 1| will always be positive or 0 and it's graph is  shaped like a V with the vertex at (1, 0)

The + 2 will move the graph up 2 units so the vertex becomes (1, 2).

2p +5q = 21
3p-2q=-16

Answers

Answer:

p =− 2

q = 5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

p =− 2

q = 5

Answer:

q = 5

p = -2

Step-by-step explanation:

I'm gonna use elimination

2p + 5q = 21  Multiply 3 ------> 6p +15q = 63

3p - 2q = -16  Multiply 2 -------> 6p -4q = -32

 6p +15q = 63

 6p -4q = -32                                                                                                                  -__________

19q = 95

q = 5

To find P use any of the equations and substitute q to 5

3p -2(5) = -16

3p -10 = -16

3p = -6

p = -2

5 degrees below zero

Answers

Answer:

5 degrees below zero = -5 degrees

5 degrees below zero would just simply be -5


The perimeter of a square is 60. If one side length of the square is X-4, then what is the value of x

Answers

Answer:

X= 19

Step-by-step explanation:

If you take 4 away from 19, it equals 15, the perimeter is all sides of the square. Which is 4 sides, 15 x 4 = 60 or 15+15+15+15. The formula for perimeter is all the sides added together.

HELP ME PLS HELP FAST DIE IN 5 MIN

Answers

i think the answer is 121 cm^2

Answer:

158 cm2

Step-by-step explanation:

surface area = (6×5)+2(8×5)+(8×6) = 158 cm2

-x^2 where x = -5
algebra 2

Answers

Step-by-step explanation:

if if you put x equals to -5

it becomes -(-5)^2 which is equal to -25

Answer:

-25

Step-by-step explanation:

1) The equation is -(-5)^2

2) When you square a negative number, it will be a positive

3) So in this equation it would be -(25)

4) However, there's another negative sign in front.

5) So the answer therefore is -25

Hope this helps!

The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.

Answers

Answer:

1.5<x<4 i hope this is right sorry if its not

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

8 + 4x = 2x + 8 + 2x

Answers

Answer:x=0

Step-by-step explanation:

Answer:

0 = 0

True

Step-by-step explanation:

[tex]8 + 4x = 2x + 8 + 2x[/tex]

Collect like terms

[tex]8-8 =2x+2x -4x\\[/tex]

Simplify

[tex]8-8 =0\\2x+2x =4x\\4x -4x =0\\\\0=0[/tex]

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