Samuel and Sebastian go to the movie theater and purchase refreshments for their friends.

Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks.

Sebastian spends a total of $138.00 on 3 bags of popcorn and 12 drinks.

Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.

Using these equations, determine and state the price of a drink, to the nearest cent.

Answers

Answer 1

Answer and Step-by-step explanation:

samuel---> 1pc+3dr=36.75

sebastian--->3pc+12dr=138

1pc+4dr=46

1pc+4dr=46

1pc+3dr=36.75

so 1 dr=46-36.75=$9.25

4dr is 9.25×4=37

so 1 pc=46-37=$9.00

Answer 2

Answer:

$9.25

Step-by-step explanation:

Cost of popcorn: x

Cost of drink: y

x + 3y = 36.75

x = 36.75 - 3y

3x + 12y = 138

x + 4y = 46

36.75 - 3y + 4y = 46

y = 46 - 36.75

y = 9.25


Related Questions

What is the difference between the circumference of the outer circle and the circumference of the inner circle? Leave your answer in terms of π.


Diameter is 9m and the outer part of the circle is 2m

Will give brainiest

Answers

Final answer:

The difference between the circumferences of the outer and inner circles, given a diameter of 9m for the inner circle and an outer part thickness of 2m, is 4π m.

Explanation:

To find the difference between the circumferences of an outer circle and an inner circle, we first need to determine their respective radii and then apply the circumference formula C = 2πr.

The given diameter of the inner circle is 9m, hence its radius is 9m / 2 = 4.5m. The thickness of the outer part of the circle is 2m, so the radius of the outer circle is 4.5m + 2m = 6.5m.

The circumference of the inner circle is C_inner = 2π(4.5m) = 9π m, and the circumference of the outer circle is C_outer = 2π(6.5m) = 13π m.

The difference between the circumferences is therefore Couter - Cinner = 13π m - 9π m = 4π m.

When looking at the unit circle, what do you notice about the value of sine and the value of the y coordinate?
a the values are the same
C. the values are opposites
b. the absolute values are different
d. none of the above

Answers

Answer:

a. the values are the same.

Step-by-step explanation:

The sine = y-coordinate / hypotenuse. The unit circle has hypotenuse = 1, so

the sine = y /1 = y.

Final answer:

The value of the sine of an angle on the unit circle is the same as the y-coordinate of the corresponding point on the circle, as the sine function is defined as the ratio of the opposite side to the hypotenuse in a right triangle.

Explanation:

When looking at the unit circle, we can observe that the value of the sine of an angle is indeed the same as the y-coordinate of the point on the unit circle at that angle. In other words, if we take a point on the unit circle at an angle θ from the positive x-axis, its coordinates can be expressed as (cos(θ), sin(θ)). Therefore, the sine of the angle gives us the y-coordinate of the point on the circle. This relationship is a direct consequence of how the trigonometric functions are defined in the context of a right triangle, where the sine of an angle is the length of the side opposite to the angle (y) divided by the hypotenuse (which is 1 for the unit circle).

2x – 8x + 6
What is the answer when factoring this equation

Answers

Answer: 2(x - 4x + 3)
The answer is 2( x-4x + 3)

I WILL MARK BRAINLIEST!!
Approximate the distance between the two points.
(-3,5)
(7,-1)
-32 units
-136 units
-11.7 units
-5.7 units

Answers

Answer:

-11.7 units

Step-by-step explanation:

using the distance formula d= sq route of (x2-x1)squared+ (y2-y1)squared

the distance is found to be the square root of 136, which is 11.66 so round to 11.7

The answer is -11.7 units I hope

Mrs. Téllez has a roll of wrapping paper in her gift shop. She uses 1/4 yard to wrap each gift. If there are 20 yards of wrapping paper on the roll, how many gift of the same size can she wrap until the roll is empty ?

Answers

Final answer:

Mrs. Téllez can wrap 80 gifts of the same size until the roll is empty.

Explanation:

To find out how many gifts of the same size Mrs. Téllez can wrap until the roll is empty, we need to divide the total length of wrapping paper by the amount used per gift. Mrs. Téllez uses 1/4 yard to wrap each gift, and there are 20 yards of wrapping paper on the roll. So, we need to divide 20 by 1/4 to get the number of gifts.

To divide a whole number by a fraction, we can multiply the whole number by the reciprocal of the fraction. The reciprocal of 1/4 is 4/1. So, we multiply 20 by 4/1:

20 x 4/1 = 80/1 = 80

Therefore, Mrs. Téllez can wrap 80 gifts of the same size until the roll is empty.

The table and the graph below each show a different relationship between the same two variables, x and y:
How much more would the value of y be in the table than its value on the graph when x = 11?
(answers)
110
150
215
275

Answers

Answer:

if x = 11 then y = 660

Step-by-step explanation:

when the x increases by 1 at a constant rate, the y increases by 60 at a constant rate

so, if we keep moving forward with the table, you'll easily see that when x = 11, y = 660

The value of y would be 275 more in the table than on the graph when x = 11. Hence the correct option is 4.

The value of y would be 275 more in the table than its value on the graph when x = 11.

By substituting x = 11 into the equation y = 10 + 2x, we get y = 10 + 2(11) = 32 for the graph.

From the table, the corresponding value for y when x = 11 is 307.

Thus, the difference in the value of y between the table and the graph is 307 - 32 = 275.

Pan Bartek kupił 15 sadzonek kwiatów i zapłacił za nie 67,50 zł. Pan Michał kupił 50 sadzonek w tej samej cenie za jedną sztukę.



O ile złotych więcej zapłacił za sadzonki pan Michał niż pan Bartek? Wybierz właściwą odpowiedź spośród podanych.



A. 22,50 zł B. 157,50 zł C. 202,50 zł D. 225 zł

Answers

Answer:

Option D: 225 zł

Step-by-step explanation:

(English question:

Mr. Bartek bought 15 flower seedlings and paid PLN 67.50 for them. Mr. Michał bought 50 cuttings at the same price for one piece.

How much more did Michał pay for seedlings than Mr. Bartek? Choose the right answer from the given ones.

A. 22.50 PLN B. 157.50 PLN C. 202.50 PLN D. 225 PLN)

We can solve this problem using a rule of three:

If Mr. Bartek bought 15 flowers seedlings for 67.5, Mr. Michal that bought 50 flowers seedlings will pay what price (If he pays the same price per unit that Mr. Bartek paid)?

15 seedlings -> PLN 67.5

50 seedlings -> PLN X

15/50 = 67.5/X

X = 50*67.5/15 = 225

The correct option is D: 225 zł

By visual inspection, determine the best fitting repression model for the scatterplot

A. Quadratic
B. No pattern
C. Linear
D. Exponential

Answers

Answer:

D. Exponential

Step-by-step explanation:

The point are going down at an exponential rate.

20% of the 7th graders are on the football team. If 48 students are on the team, how many total students are in the 7th grade?

Answers

Answer:

i think its 13

Step-by-step explanation:

The linear inequalities that will limit the solution region in a linear programming problem are called the ___. i need the answer asp

Answers

Answer: Constraints

i got that question its constraints

Antonia is using the calculator shown to find the value of
1,035 x 6. What key on the calculator should she press first?
1.) 1
2.) +/-
3.) C
4.) /

Answers

Answer:

1.) 1

Step-by-step explanation:

The answer is definitely 1.)

PLZ HELP! WILL GIVE BRAINLIEST!

Answers

Answer:35X 10^-13

Step-by-step explanation: multiply the coefficient 7x5 add exponents when multiplying

2
Jeremy got $53.00 from his grandparents for his birthday. He wants to spend exactly
half of the money on a new toy, and put the other half in his savings account
a
How much money will Jeremy put into his savings account? Show your work.
Answer: 26.5
b
How did you handle the remainder in this problem?
O Left it as a whole number.
O Turned it into a fraction.
O Turned it into a decimal number.
C
Explain your choice.

Answers

Answer:

the answer is c.

Step-by-step explanation:

that is for the second question

Can someone find the area please?

Answers

12 times 5 is 60

12-10=2, so 2 times 6 is 12, divided by 2 is 6

The area is 66
the areas here would be 66

What is the vertex of the quadratic function f(x) = (x – 3)(x - 2)?

Answers

Answer:

The vertex is: [tex](\frac{5}{2},-\frac{1}{4})[/tex]

Please answer this asap! Its midnight and I'm tired 40 points

Answers

Answer:

1:

A'(6,6) B'(5,2) C'(2,6)

2: They are congruent if they have the same shape and size, if not, then they are not congruent

3: Can't answer

Answer:

They are the same shape as ABC and LMN both measure 4 base and 4 side measurement each along with hypotenuse shared value of 5. Making these triangles isosceles.

We can see that LMN is the only triangle whos base that lies parallel with the y (inverse usual x line), this is proof that the transition was 270° in total and 222.5° flip from the ABC last transition.

Each transition was the following

1) As shown on diagram 90 flip

We found 67.75° with ABC, then 222.5°  

Meaning 270° from start to finish.

There was a 22.5 transition in the first grid too, so if counting that we deduct that from 270° to equal 247.5° full rotation from first replacement coordinate drawn in question 1.

Step-by-step explanation:

1. What is the slope of the line that passes through (-2, 6) and (8, 1)?
a. -1/2
b. 1/2
c. -2
d. 2

Answers

Answer:

- 1/2

Step-by-step explanation:

[tex]slope = \frac{1 - 6}{8 - ( - 2)} = \frac{ - 5}{8 + 2} = \frac{ - 5}{10} = - \frac{1}{2} \\ [/tex]

a. -1/2
hope this helps:)

PLEASE HELP WITH THIS MATH PROBLEM

Answers

Answer:

 3y - 10

 ———

    2  

Step-by-step explanation:

The profit( in thousands ) that a company makes, t years after opening, can be found by: F(t) = 2t^2 - 6t -3
a) How many years after opening did the company’s profit switch from negative to positive? ( round to the nearest tenth)
b) How many years after opening was the company’s profit the lowest?
c) What was the company’s profit( in thousands of dollars) when it was the lowest? ( don’t use dollar signs in your answer)

Answers

a) After 4 years the profit will change from negative to positive.

b)after 4 years the profit will be lowest.

Because the equation is a quadratic equation so, it will be increasing.

c) after 4 years the profit will be 5.

Step-by-step explanation:

a) After 1 year = 2(1) -6(1) -3

= 2-9

= -7

It's negative

After 2 years = 2(4) -6(2) -3

= 8-12-3

= -7

It's negative

After 3 years = 2(9) -6(3) -3

= 18 - 18 -3

= -3

It's negative

After 4 years = 2(16) -6(4) -3

= 32 -24-3

= 5

It's positive

After 4 years the profit will change from negative to positive

b) after 4 years the profit will be lowest.

Because the equation is a quadratic equation so, it will be increasing.

c) profit = 2(16) - 6(4) -3

= 32 -24 - 3

= 5

after 4 years the profit will be 5

Express the height of the following rectangular prism in meters. (Note: 1 m = 100 cm)


7,500 m

750 m

7.5 m

0.75 m

Answers

Answer:

0.75m

You take the 75cm because that is the height and then you have to convert it to meters I used Google

NEED HELP URGENTLY!!!!!

Answers

Given angles:

[tex]$\pi, \frac{\pi}{3} , \frac{3 \pi}{4}, \frac{4 \pi}{2}, \frac{7 \pi}{3}[/tex]

To order the angles from least to greatest:

The value of π = 180°

[tex]$\frac{\pi}{3}=\frac{180^\circ}{3}= 60^\circ[/tex]

[tex]$\frac{3 \pi}{4}=\frac{3 \times 180^\circ}{4}= 135^\circ[/tex]

[tex]$\frac{4 \pi}{2}=\frac{4 \times 180^\circ}{2}= 360^\circ[/tex]

[tex]$\frac{7 \pi}{3}=\frac{7 \times 180^\circ}{3}= 420^\circ[/tex]

Order from least to greatest:

60° < 135° < 180° < 360° < 420°

Now write using π:

[tex]$\frac{\pi}{3}< \frac{3 \pi}{4}< \pi < \frac{4 \pi}{2}< \frac{7 \pi}{3}[/tex]

Calculate the range of javelin throws from the World Cup:

Answers

Answer:

13.28

Step-by-step explanation:

range=the difference of biggest number and lowest number

Based on the boxplots, which statement below is true? A) The range of both plots is about the same. B) The means of both plots are approximately equal. C) Plot B contains more data points than Plot A. D) The medians are approximately equal.

Answers

Answer: A. The range of both plots is about the same.

Step-by-step explanation:

Final answer:

The question asks about boxplots but does not provide the actual boxplots to analyze. Nonetheless, the answer describes what each statement means in relation to boxplots. The true statement would depend on graphical interpretation of the provided boxplots.

Explanation:

Without actual boxplots, it is not possible to definitively answer this question. However, I can provide you with a brief description of each of the given options.

The range of both plots is about the same: This implies that the lowest and highest values of both data sets are similar.The means of both plots are approximately equal: This suggests that the average values of both data sets are similar.Plot B contains more data points than Plot A: This isn't usually determinable by a boxplot since boxplots show the spread and distribution of data, not the quantity of data points.The medians are approximately equal: This implies that the mid-values of the data sets are similar.

In general, to get a correct answer, study the two boxplots together, comparing their ranges, means, and medians.

Learn more about Boxplots here:

https://brainly.com/question/33891301

#SPJ2

Joe is making lemonade by adding 6 5/8 cups of water. It is too strong, so he adds 1 5/8 cups more. How much water does Joe use?

Answers

Answer:

8 1/4 or 8 2/8

Step-by-step explanation:

6+1= 7

5/8+5/8= 10/8 or 1 2/8

1 2/8 + 7= 8 2/8

Simplify

8 1/4 cups

Final answer:

In making his lemonade, Joe uses a total of 8 1/4 cups of water. He initially adds 6 5/8 cups, then adds an additional 1 5/8 cups when the lemonade is too strong.

Explanation:

Joe is making lemonade and initially adds 6 5/8 cups of water. When he finds it too strong, he adds another 1 5/8 cups of water. To calculate the total amount of water Joe uses, we add the two quantities of water together:

First, add the whole numbers: 6 + 1 = 7 cupsNext, add the fractions: 5/8 + 5/8 = 10/8 = 1 2/8 = 1 1/4 cups

Adding these results together, Joe uses a total of 7 cups + 1 1/4 cups = 8 1/4 cups of water in his lemonade.

Learn more about Addition of Fractions here:

https://brainly.com/question/34825764

#SPJ2

The local pizzeria offers a choice of 2 pizzas - supreme or vegetarian, 3 sides - chips, salad
or coleslaw, and 4 drinks - juice, coke, ginger beer or water. For dinner I decide to have
1 pizza, 1 side, and 1 drink. How many possible meals do I have to choose from?

Answers

Answer:

24

Step-by-step explanation:

Final answer:

To determine the number of possible meal combinations at the pizzeria, multiply the number of options for each course, yielding 2 (pizzas) × 3 (sides) × 4 (drinks), which equals 24 possible meals.

Explanation:

To calculate the number of possible meals you can choose from at the pizzeria, you can use the Fundamental Principles of Counting, specifically the Multiplication Principle. The principle states that if one event can occur in m ways and a second independent event can occur in n ways, then the two events can occur in m × n ways together. Since we are dealing with more than two events, we extend this principle.

In this scenario, you have 2 kinds of pizzas, 3 sides, and 4 drinks to choose from. To find the total combinations of meals, you multiply the number of options for each selection. That is:

Pizza options (2) × Side options (3) × Drink options (4) = Total meal options.

So, the calculation would be:

2 × 3 × 4 = 24 possible meals.

This calculation shows that there are 24 different combinations of meals that you can choose from when you pick one pizza, one side, and one drink.

If the area of a rectangle is 162 square meters, what is the length of the base

Answers

Answer:

If the long side is down then the length of the base is 81 sq.m.

If the short side is down then the length of the base is 20.25 sq.m.

Step-by-step explanation:

162/4 is 40.5 that means if this were a square it would be 40.5 sq.m. On each side, if the base is longer you multiply 40.5 by 2 (or whatever youre supposed to honestl) and if the base is shorter you divide by 2 (or whatever you were supposed to)

Answer:

8m

Step-by-step explanation

20 PTS QUICK QUICK PLEASE! 1 MINUTE ONLY! WITH EXPLANATION PLEASE! ANSWER 3 QUESTION AND YOU WILL BE THE BRAINLIEST!

1) Which expression will help you find the area of the triangular bases?

3 × 12
8 × 3
1/2 × 8 × 3
8 × 12

2) Which expressions will help you find the areas of the rectangular faces? Select all that apply.

8 × 3
8 × 5
5 × 12
8 × 12

3) Find the surface area of this net.

_____a0 square centimeters


THE NET IS DOWN BELOW FOR ALL QUESTION IT IS THE SAME NET DRAWING GOOD LUCK!



Answers

1) We want to find the area of the triangular bases, which means both shown in the net. So, normally we would divide the area by 2 (from the formula), but since we are finding the area of two triangles, that isn't necessary.

A = 8 x 3

2) There are two different sized rectangles here. One that is repeated twice and the other that is on its own. We know that A and C are the same, and if we think about how this net is folded, we can determine that the width of A and C would be 5 cm. For both sized rectangles, the length is 12 cm. For rectangle B, we can see that its width is 8 cm.

A = (8 x 12) + (5 x 12)

3) Now that we have all of the expressions needed to find the surface area, what we need to do is evaluate each of them and add them together to find the total surface area.

Triangles = 8 x 3 = 24

Rectangles = (8 x 12) + (5 x 12) = 96 + 60 = 156

Surface area = 24 + 156 = 180 square centimeters

Hope this helps! :)

What is the slope of 3x - 3y =5

Answers

This is your answer

5) A mathematical term that does not include an equal or inequality sign is called an _ _ _ _ _ _ _ _ _ _.

Answers

Answer:

this is called a Expression

Step-by-step explanation:

Answer:

expression

Step-by-step explanation:

which symbol makes 3 13/28 and 3 17/30 a true sentence

Answers

Answer:

Step-by-step explanation:

13/28 = 195/420

17/30 =  238/420

So that means that 3 17/30 > 3 13/28

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