At a local movie theater sodas cost 4.50 and bags of popcorn cost 1.50. If Kirk buys three times as many bags as popcorn as sodas and pays a total of 36 determine how many of each item Kirk bought

Answers

Answer 1

Answer:

12 bags of popcorn and 4 sodas

Step-by-step explanation:

Quantity: Popcorn =3x       Sodas=x

Value: Sodas - $4.50, Popcorn - $1.50

Total Value: $36

3x(1.5)+4.5x=36

4.5x+4.5x=36

9x=36

x=4

Therefore, 12 bags of popcorn and 4 sodas

Answer 2

The number of sodas and popcorn Kirk bought is 4 and 12 respectively.

let

Number of sodas bought = x

Number of popcorn bought = 3x

Cost of soda = 4.50

cost of popcorn = 1.50

Total cost = 36

How to solve equation

(4.50×x) + (1.50×3x) = 36

4.50x + 4.50x = 36

9x = 36

x = 36/9

x = 4

Therefore, the number of sodas bought,x is 4 and the number of popcorn bought, 3x = 3 × 4 = 12

Learn more about equation:

https://brainly.com/question/2972832


Related Questions

What is the probability of selecting an even number, if you choose a number randomly {4, 10, 6, 9, 2, 14}

Answers

Approximately 67% there are 6 numbers and 4 of them are even So you have to divide 100 and 6 then multiply the answer by 4




Which expression gives the value of x?
A) 15 tan30°
B) 15 cos30°
C)
15
tan30°
D)
15
sin30°

Answers

15 gggggggggggggggggggggg

Answer:

a is correct

Step-by-step explanation:

Solve the division problem. Round answer to the nearest hundredth. 9.2 divided by52.063

Answers

Answer: 0.18

Step-by-step explanation:

Isabella filled a 200-litter pool and Henry filled a 250-litter pool. They both started at the same time.
The following equation gives the volume of water in Isabella's pool (in liters) as a function of time (in minutes).
V=23t
The graph of the volume of water in Henry's pool (in liters) as a function of time (in minutes) is shown below.
Who filled their pool at a faster rate?
Who filled their entire pool first?

Answers

Answer:

B. Henry for the first one and A. Isebella for the second one

Step-by-step explanation:

Answer:

1. Henry

2. Isabella

Step-by-step explanation:

Please help me solve 3x + 4y =15 and 3x - y = 30 it is for Algebra I

Answers

Answer:

Step-by-step explanation:

Given the simultaneous equation

3x+4y=15. Equation 1

3x-y=30. Equation 2

Using elimination method

Sutract equation 2 from 1

Then, will have

3x-3x+4y--y=15-50. -×-=+

4y+y=-15

5y=-15

Divide Both sides by 5

y=-15/5

y=-3

From equation 2

3x-y=30

3x--3=30

3x+3=30

3x=30-3

3x=27

Divide both side by 3

x=27/3

x=9

Then, x=9 and y=-3

Answer:

x=7 y=-9

Step-by-step explanation:

Use a system of equations to solve.

3x-y=30 changes to y=-30+3x

This can then be substituted into the other equation.

3x+4(-30+3x)=15

solve for x

X=7

Now use 7 in the other equation.

y=-30+x(7)

y=-9

A certain game has a deck of cards labeled 1,2,3, or 4. At the beginning of a turn, a player draws a card from the deck and then moves the number of spaces indicated by the number on the card. The table shows the number of each type of card in the deck. What is the expected value of the number on a card drawn from the deck.

Number on card = number of cards

1 / 20

2 / 15

3 / 10

4 / 5

A) 1

B) 2

C) 3

D) 4

Answers

Answer:

Step-by-step explanation:

1/20

A) 1, as that has the highest probability to be picked.

Hope this helps!

Divide: −96 ÷ −12 = A) −8 B) −7 C) 6 D) 8

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer: 8, option D is correct

Step-by-step explanation:

In solving this problem, bear in mind that negative and negative gives positive as a mathematical rule, therefore, for this question, - ÷ - will give +

-96 ÷ -12

= 8

I hope this helps.

F(x) =-x+1, Evaluate f(x+h)

Answers

Answer:

-1

Explanation:

Find components of the definition.

[tex]f(x+h)=-h-x+1\\f(x)=-x+1[/tex]

Plug in components

[tex]\frac{f(x+h)-f(x)}{h} = \frac{-h-x+1-(-x+1)}{h}[/tex]

Simplify.

-1

A right cone has a slant height of 30 cm and a radius of 10 cm. Find the volume of the right cone.

Answers

Answer:

V=3,140in3

Step-by-step explanation:

How long will it take you to
drive 120 mles at a speed of
15 miles per hour?​

Answers

Answer:

8 hours

Step-by-step explanation:

you divide the miles by the miles per hour

120/15

8

Answer:

8 hours

Step-by-step explanation:

We know that

distance = rate * time

120 miles = 15 miles per hour * time

Divide each side by 15

120/15 = 15/15 *t

8 = t

It will take 8 hours

If Jenna can build a tractor in 9 hours, Thomas can build a tractor in 7 hours, Rachel can build a tractor in 5/2 hours, and Paul can build a tractor in 2 hours, how long will it take them to build 15 tractors if all four start building tractors at midnight, Rachel leaves after 3 hours (3 am), Jenna leaves after 6 hours (6 am), and Rachel returns after 9 hours (9 am)

Answers

Answer:

Around 16 hours

(16 hours, 2.74 minutes)

Step-by-step explanation:

In 3 hours,

Rachel has managed: 3 ÷ 5/2 = 6/5

In 6 hours,

Jenna has managed: 6 ÷ 9 = ⅔

Till 9 am,

Thomas and Paul have been woking and maneged:

(9 ÷ 7) ÷ (9 ÷ 2) = 81/14

Total works done in first 9 hours:

6/5 + 2/3 + 81/14 = 1607/210

Remaining work:

15 - 1607/210

= 1543/210

Rachel, Paul and Thomas complete this remaining job together in next 't' hours

(t/2.5) + (t/2) + (t/7) = 1543/210

73t/70 = 1543/210

t = 7.0456621 hours

Or 7 hours 2.74 mins

Overall, it will take them around 9+7 = 16 hours to complete the task

They'll be done at 1600

Which is 4 pm

Final answer:

It will take them approximately 22 hours and 21 minutes to build 15 tractors. The tractors will be finished at around 10:21 PM.

Explanation:

To find out how long it will take them to build 15 tractors, we need to first calculate how many tractors each person can build in 1 hour. Jenna can build 1/9 of a tractor in 1 hour, Thomas can build 1/7 of a tractor in 1 hour, Rachel can build 2/5 of a tractor in 1 hour, and Paul can build 1/2 of a tractor in 1 hour.

Adding up the fractions, we get 1/9 + 1/7 + 2/5 + 1/2 = 85/126. Therefore, in 1 hour, all four of them can build 85/126 of a tractor. To build a total of 15 tractors, we need to find how many hours it will take to build 126/85 of a tractor.

Therefore, it will take them (126/85) × 15 = 22.35 hours to build 15 tractors. Since they started building at midnight, it will take them about 22 hours and 21 minutes, so they will finish building the tractors at around 10:21 PM.

Segments CD, AE, and BF are medians of triangle ABC.

What is the value of x?

A. x = 1.9
B. x = 2.7
C. x = 5.5
D. x = 11

Answers

Option C: x = 5.5 is the value of x

Explanation:

Given that CD, AE, an BF are the medians of the triangle ABC

Also, given that [tex]AM = 4x - 5[/tex] and [tex]ME=x+3[/tex]

We need to determine the value of x.

Since, we know that the centroid divides the median in the ratio 2 : 1

Hence, we have,

[tex]AM=2\times ME[/tex]

Substituting the values, we get,

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

Simplifying, we get,

[tex]4x-5=2x+6[/tex]

Subtracting both sides of the equation by 2x, we have,

[tex]2x-5=6[/tex]

Adding both sides of the equation by 5, we have,

[tex]2x=11[/tex]

Dividing both sides of the equation by 2, we get,

[tex]x=5.5[/tex]

Therefore, the value of x is 5.5

Hence, Option C is the correct answer.

HELP PLEASE!!I can't answer

Answers

Answer: 15%

Step-by-step explanation:

the percent is equal to (large double Cheeseburgers/total burgers) * 100

finding values

num of large double cheeseburgers in the table = 60

total burgers by adding all the values up = 68+77+45+98+52+60 = 400

calculating percent

so the percent is (60 / 400) * 100 = 15%

Show work and and answer.
18a. 5-2(x-1)=12
B. 5+2 (x-1)=12
C. 5-2 (x+2)=12
D. 5-2x +2 =12​

Answers

Answer:

Step-by-step explanation:

5-2(x-1)=12

5-2x+2=12

5+2-2x=12

7-2x=12

2x=7-12

2x=-5

x=-5/2

this partial Circle has a radius of 11 in what is the area of this figure use 3.14 for pi enter your answer as a decimal in the Box round your answer to the nearest hundredth​

Answers

Answer:

190 square inch

Step-by-step explanation:

Area of the partial circle = 1/2 pi r^2

Pi = 3.14

Radius r = 11 inch

Area = 1/2 x 3.14 x (11)^2

= 1/2 x 3.14 x 11 x 11

Multiply through

= 3.14 x 11 x 11 /2

= 379.94/2

= 189.97

= 190 square inch

An object is thrown straight up from the top of a 100-foot platform at a velocity of 48 feet per second. The height h(t) of the object t seconds after being thrown is given by [tex]h(t)=-16t^{2}+48t+100[/tex]. Find the maximum height reached by the object and the time it takes to achieve this height.

Answers

Answer:

The maximum height is 136 ftThe time it takes to achieve this height is 1.5 s.

Explanation:

1. Function for the height (given):

    [tex]h(t)=-16t^2+48t+100[/tex]

2. Type of function

That is a quadatic function, whose graph is a parabola that opens downward.

The maximum of the function, i.e. the maximum height, is the vertex of the parabola.

The vertex of a parabola with the genral equation   [tex]y=ax^2+bx+c[/tex]  is at the x-coordinate

                       [tex]x=-b/(2a)[/tex]

3. Time to achieve the maximum height

Substitute b with 48 and a with - 16:

        [tex]t=-48/(2(-16))=48/32=3/2=1.5[/tex]

Then, time when the object achieves the maximum height it 1.5s

4. Maximum height:

Replace t with 1.5 in the equation, to find the maximum height, h(1.5)

     [tex]h(1.5)=-16(1.5)^2+48(1.5)+100=136[/tex]

Then, the maximum height is 136 ft

plsss show how to solve and solve honestly​

Answers

For the given triangle, the tan of angle A equals C.

Step-by-step explanation:

Step 1:

For the given triangle, the hiking route is represented by AB and the change in elevation is represented by BC.

So we need to calculate the value of BC for the given triangle

Step 2:

In the given triangle, the opposite side has a length of 'a' feet, the adjacent side has a length of 'b' feet while the triangle's hypotenuse measures 400 feet.

To calculate the opposite side of the triangle, we can use the sine of any angle in that particular triangle. The sine of a particular angle is the opposite side's length divided by the hypotenuse's length.

sin A = [tex]\frac{oppositeside}{hypotenuse}[/tex] .

Step 3;

The length of the opposite side = a,

The length of the hypotenuse side = 400 units.

[tex]\sin A=\frac{a}{400}, \sin 25^{\circ}=0.4226[/tex]. So

[tex]0.4226=\frac{a}{400}, a=0.4226 \times 400[/tex] = 169.04 feet.

So the change in elevation is 169.04 feet.

Solve x - 6 = 3 Question 3 options: x = 3 x = 2 x = 9 x = -3

Answers

Answer:

x = 9

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x-6-(3)=0

Step by step solution :

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    x-9 = 0

Add  9  to both sides of the equation :

x=9

brainly pleasse :)

Answer:

x = 9

Step-by-step explanation:

x - 6 = 3

Add 6 to both sides

x - 6 + 6 = 3 + 6

x = 9

I hope this was helpful, please mark as brainliest

50% shaded? Grid
67%
33%
32%

Answers

Final answer:

To find the percentage shaded on the grid, count the number of shaded squares and divide it by the total number of squares.

Explanation:

To find the percentage shaded on the grid, we need to count the number of shaded squares and divide it by the total number of squares. Based on the given information, we have:

67% shaded33% shaded32% shaded

Since the question asks us to find the percentage shaded, the correct answer would depend on the specific grid or diagram being referred to. Without additional context or information, it is not possible to give a single definitive answer.

1. What is the value of h? (1 point)
04
O 8 square root 3
016
O8square root 2

Answers

8 square root 2, this is because this is an isosceles triangle and the hypothenuse is always one of the sides Times Square root 2

Answer:

D) 8sqrt(2)

Step-by-step explanation:

h² = 8² + 8²

h² = 2(8²)

h = 8sqrt(2)

what is the measure of CED?

Answers

measure of CED =212.

y=x+2
-3x + 3y = 6
How many solutions can be found for the system of linear equations represented on the graph?
no solution
one solution
two solutions
infinitely many solutions

Answers

Final answer:

The system of linear equations represented on the graph has infinitely many solutions.

Explanation:

To determine the number of solutions for the system of linear equations, we can start by solving the equations. We can solve the first equation for y to get y = x + 2. We can substitute this expression for y into the second equation and then solve for x. By substituting y = x + 2 into -3x + 3y = 6, we get -3x + 3(x + 2) = 6. Simplifying this equation gives us -3x + 3x + 6 = 6, which simplifies further to 6 = 6. This equation is always true, which means there are infinitely many solutions for the system of linear equations. The two equations represent the same line, and any point on this line is a solution to the system.

Learn more about solutions for system of linear equations here:

https://brainly.com/question/34777099

#SPJ12

4.2 +3+2+7
Combining like terms

Answers

Answer:

16.2

Step-by-step explanation:

Add the numbers together


A square has a perimeter of 20 cm. A new square is
created that has double the perimeter of the original
square. How does the area of the new square
compare to the area of the original square?​

Answers

The area quadrupled. If the original square's perimeter is 20, each side length must be 5. The new square has double the perimeter, so it's 40. This means each side of the new square must be 10.

The formula for area in a square is base x height.

Square 1 area: 5x5 = 25

Square 2 area: 10x10 = 100

100/25 is 4, so the original square's area is 4 times smaller than the new square.

An oak tree is 12 feet tall and a bird is standing on the ground 16 feet from the tree. If the bird flies directly to the top of the tree, how far will it fly?

Answers

Answer:

20 ft.

Step-by-step explanation:

There are two different (yet similar) ways to solve this problem:

a. Pythagorean theorem

b. Pythagorean triplet recognition

With option "a", you set it up:

12² + 16² = x²

144 + 256 = x²

400 = x²

x = 20

But, the arguably "easier" way to find out the distance is to use the Pythagorean's triplet recognition.

We know that the most common right triangle is the 3-4-5 right triangle.

If you take the three side lengths, and multiple them by the same thing, those are the sides to another right triangle.

ex. 3-4-5  *   5

15-20-25 are the sides of another right triangle!

This also means that if you have a triangle that has the sides 15, 20, and 25, you immediately know it's a right triangle.

When we look at 12 and 16, we know they are the legs of the triangle.

We also know that if we multiply 4 times 3 and 4, it will equal 12 and 16.

So what's 5 times 4? 20!

Final answer:

To find how far the bird will fly to the top of the tree, we use the Pythagorean Theorem. By squaring the height of the tree and the distance from the bird to the tree, we find that the hypotenuse, or the distance the bird will fly, is 20 feet.

Explanation:

The question asks about the distance a bird will fly from the ground to the top of a tree, which involves the application of the Pythagorean Theorem to solve for the hypotenuse of a right triangle. The tree's height (12 feet) represents one leg of the right triangle, and the distance from the bird to the tree (16 feet) represents the other leg. To find the distance the bird flies (the hypotenuse), we use the equation:

a² + b² = c²

Where ‘a’ and ‘b’ are the lengths of the legs, and ‘c’ is the length of the hypotenuse. Now we can calculate it:

12² + 16² = c²

144 + 256 = c²

400 = c²

[tex]\sqrt{400}[/tex] = c

20 feet = c

Therefore, the bird will fly 20 feet to reach the top of the oak tree.

Game 1 gives you 200 points every time you
score. Game 2 doubles your points every time you
score (2, 4, 8, and so on). In which game do you
think you will you earn more points?

Answers

Bro I don’t actually

While Game 1 offers a steady 200 points per score, Game 2's point doubling system will eventually surpass Game 1's linear growth, leading to higher earnings in Game 2 over time.

To decide in which game you will earn more points, let's consider the point growth in both games. In Game 1, you receive a constant 200 points every time you score. This represents a linear growth.

However, in Game 2, your points double every time you score, starting from 2 points (2, 4, 8, 16, and so on).

This is an example of exponential growth.

When comparing linear growth to exponential growth, exponential growth will eventually outpace linear growth. Initially, Game 1 will give you more points (as 200 is greater than 2, 4, 8).

However, after a certain number of scores, Game 2 will start to give you more points per score. Once you've doubled a few times, the number of points you earn in Game 2 will surpass the constant 200 points reward of Game 1.

A line with a slope of 8 passes through the points (9,v) and (8,2). What is the value of v?

Answers

Answer:

Step-by-step explanation:

Given that,

Slope of line is 8

m=8

And we are given two points where the line pass through

(x1,y1) = (9,v). ; x1=9, y1=v

(x2,y2)= (8,2). ; x2=8, y2=2

The slope of a line is given as

m=∆y/∆x

m=(y2-y1)/(x2-x1)

8=(2-v)/(8-9)

8=(2-v)/(-1)

Cross multiply

8×-1=2-v

-8=2-v

Subtract 2 from both sides

-8-2=2-v-2

-10=-v

Divide both sides by -1

-10/-1=-v/-1

Note, -÷-=+

10=v

Then v=10

We can write this as an expression:

[tex]\frac{2-v}{8-9}=8[/tex] → [tex]\frac{2-v}{-1}=8[/tex]

Now, lets solve for v.

[tex]\frac{2-v}{-1}=8[/tex]

~Multiply -1 to both sides

[tex]\frac{2-v}{-1}[/tex] * -1 = 8 * -1

~Simplify

2 - v = -8

~Subtract 2 to both sides

2 - 2 - v = -8 - 2

~Simplify

-v = -10

~Divide -1 to both sides

-v/-1 = -10/-1

~Simplify

v = 10

Best of Luck!

a fair charges an admisson fee for $8. Each ride is an addition $2. he equation y=8+2x describes the total x charge for y. Graph it

Answers

Answer:

When graphing in this problem we will be graphing the equation y=2x+8, where the 2x represents the fee for each ride, and 8 represents the fee to get in.

When graphing y=2x+8, you 8 is where it is going to be on the y-intercept, so the first step is to put a dot on the 8 on the y-axis. Then from that point (y-intercept) you would go up 2 and over 1, because that is your slope (2x), then you continue on with your slope up 2 and over 1, until you reach the top of your graph.

Hope this helps ;)

I need help with this question?

Answers

5+.1x=20.
.1x=15
x=150

PLEASE HELP!!

What transformation can you use to obtain the graph of f(x)=(1/2)^x from the graph of f(x)=2^x?

Answers

Answer:

[tex]f(x) = 2^{-x}[/tex]

Step-by-step explanation:

The transformation is a reflection across the y-axis

A reflection across the y-axis is produced by putting a negative sign in front of the x.

Other Questions
For the past 9 months, your client has been taking a conventional antipsychotic drug to treat symptoms associated with her diagnosis of schizophrenia. Although she has fewer auditory hallucinations, your client now experiences muscle tremors and rigidity to the point where she can no longer dress herself. It is likely that she is experiencing:_____________. 15. Thomas Jefferson, the third president of theUnited States, once made a statement about thepress. He said he would choose newspaperswithout a government over a government withoutnewspapers. With which of the followingstatements would Jefferson most likely agree?A. Freedom of the press is a basic and fundamentalrightsB. A government cannot function in a societywithout mediaC. Freedom of the press is more important thanfreedom of speechD. A government must be able to control the mediato control the country Which of the following is NOT true regarding bulk flow? Select one: a. It requires active muscle movements b. It is an exergonic (energetically favorable) process that releases energy c. It requires ATP d. It provides for a much more efficient movement of oxygen from the atmosphere to cells 5b. MousePad Computer Company, in addition to its retail sales, conducts night classes in computer technology. MousePad has provided you the following information: Number of students 120 Revenue per student $450 Student-related variable costs $100 per student Salary for three instructors $1,800 each Administrative costs $30 per student Maintenance on building $15,000 per year Required: Construct a contribution margin format income statement. What areas did Seward believe the United States should acquire in the Pacific? (1 point) Suppose we will flip a fair coin 100 times. (a) What does 35 heads correspond to on the standard scale? (enter exact answer) (b) What does z=2.4 on the standard scale correspond to on the number of heads scale? (enter exact answer) What alkene gives a mixture of acetone and propanoic acid on reaction with potassium permanganate in the presence of strong acid and water? Historically, women have paid more for dry cleaning than men. Signature Cleaners advertises "equal price" for all customers. Signature Cleaners appeals to women, which is market segmentation by __________ factors. What is the story arc for Morte Darthur? how does hurstons perspective toward race differ from other black writers from her era (APEX) Complex organisms produce sec cells that unite during fertilization forming a single cell known as? Inosine monophosphate is a branch point for the synthesis of a variety of purine nucleotides. Match the appropriate reaction for the synthesis of either AMP or GMP: 1) AMP A) condensation with Asp 2) GMP B) oxidative hydration C) transamination with Gln D) release of fumarate1. --> 1:A, C; 2: B, D2. --> 1:C, D; 2: A, B3. --> 1:A, B; 2: C, D4. --> 1:A, D; 2: B, C You have a web application hosted in AWS cloud where the application logs are sent to Amazon CloudWatch. Lately, the web application has recently been encountering some errors which can be resolved simply by restarting the instance. What will you do to automatically restart the EC2 instances whenever the same application error occurs? 1. Graph the polar equation2. Find each quotient and express it in rectangular form. 2(cos150+isin150)/ 8(cos210+isin210)-0.22+0.12i1/4[sin(-60)+icos(-60)]0.12-0.22i1/4[cos(-60)+isin(-60)]3. Write the rectangular equation (x+5)^2+y^2=25 in polar form.R= -10sin thetaR= 5R= 5cos thetaR= -10cos theta What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = (x + 1)^2 - 5. The hydrophilic regions of a membrane protein are most likely to be found are What is soda pop? Please I need to know Beginning inventory, january 1: $4,000 net sales: $80,000 net purchases: $78,000 the company's gross margin ratio is 25%. using the gross profit method, the estimated ending inventory value would be: Amy has created a new brand for her company's goldfish training materials. She knows that other companies train goldfish and it is a popular sport, but realizes that it is a niche market. She wants to use a Google Display Ads campaign to build awareness for her new brand. Which Google Display ad targeting option can help Amy with her goal of creating awareness within her niche market? An SRS of size n was taken to estimate mean body mass index (BMI) for girls between 13 and 19 years of age. The 95% confidence interval obtained had lower limit 19.5 and upper limit 26.3. Which of the following is NOT true? 1. A total of 95% of all teenage girls have BMI between 19.5 and 26.3. 2. The margin of error is 34. 3. The value z in the margin of error is 1.96. 4. A total of 95% of all SRS of size n contain the true mean BMI