arper went into a movie theater and bought 10 bags of popcorn and 6 drinks, costing a total of $79. Damian went into the same movie theater and bought 3 bags of popcorn and 5 drinks, costing a total of $36.50. Write a system of equations that could be used to determine the price of each bag of popcorn and the price of each drink. Define the variables that you use to write the system.

Answers

Answer 1
Answer:
The price of a drink = $4
The price of a bag of popcorn = $5.5

Step-by-step explanation:

Let p represent popcorn and d represent drink
Harper bought 10 bags of popcorn and 6 drinks and paid $79 ➡ 10p + 6d = $79
Damian bought 3 bags of popcorn and 5 drinks and paid $36.50 ➡ 3p + 5d = $36.50
Now multiply first equation by -3 and second equation by 10
-3 × (10p + 6d) = $79 ➡ -30p - 18d = -$237
10 × (3p + 5d) = $36.50 ➡ 30p + 50d = $365
Now add the new equationd
30p + 50d -30p - 18d = $365 - $237 (-30p will eliminate 30p)
32d = $128 divide both sides of the equation by 32
32 ÷ 32d = 32 ÷ $128 ➡ d = 4
If d = 4 that means a drink costs $4 we can use this information to find the price of a bag of popcorn
3p + 5d = $36.50 (replace d with 4)
3p + 4×5 = $36.50
3p + 20 = $36.50
3p = $36.50 - 20
3p = 16.50 divide both sides by 3
p = $5.5
Answer 2

Answer:

popcorn is 5.5 and drink is 4

Step-by-step explanation:

It just is my g


Related Questions

Simplify the expression to a polynomial in standard form: (4x-9)(2x^2+2x+1)

Answers

Answer:

8x^3-10x^2-14x-9

Step-by-step explanation:

Answer:

8x^3 - 10x^2 - 14x - 9

Step-by-step explanation:

Given the function F(x) = x ^ 3 + 2x - 1 , find the value f(- 2)

Answers

the answer would be -13.
hope this helps.

Find the median of this data set: 4, 9, 1, 3, 7, 1

Answers

The median is 3.5

Hope this helped

(*^▽^*)

1 + 3 = 4 divided by 2 equals 2. hope this helped!

Jen received 60%on her science quiz. She got 9 questions correct. How many total questions were on the science test?

Answers

I think she had 15 questions on the science quiz.

3m + 2n + 4;
m = 2 and N =4
D2 + 9k; d = 10 and k =9
3m + 4y x 2 m = 7, y = 10

Answers

Answer:

1. 18

2. 181

3. 101

Step-by-step explanation:

They want you to take each equation, and replace the letter with the number they give you after the equation.

3m + 2n + 4; m = 2, n = 4

This becomes

3(2) + 2(4) + 4

We multiply before we add, according to the order of operations. So next, the equation becomes:

6 + 8 + 4

= 18

———-

D^2 + 9k ; D = 10, k = 9

Numbers squared are numbers multiplied by themselves.

(10)(10) + 9(9)

= 100 + 81 = 181

——————-

3m + 4y x 2 ; m = 7, y = 10

3(7) + 4(10) x 2

21 + 40 x 2

Remember, multiplication always comes before addition.

21 + 80 = 101

Please let me know if you have questions on this.

A cylinder has a height of 17 inches and a radius of 8 inches what is the use π = 3.14 and round your answer to the nearest hundredth

Answers

Answer:

3418.05

Step-by-step explanation:

The area of a rectangular field is 7371 m2. If the length of the field is 91 meters, what is its width?

Answers

Answer:

81 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 7371 m²

Length (L) = 91 m

Width (W) =?

Area of a rectangle is given by the following equation:

Area = Length × Width

A = L × W

With the above formula, we can obtain the width of the rectangular field as follow:

Area (A) = 7371 m²

Length (L) = 91 m

Width (W) =?

A = L × W

7371 = 91 × W

Divide both side by 91

W = 7371 / 91

W = 81 m

Thus, width of the rectangular field is 81 m

10. The perimeter of the rectangle below is 30 inches. Find the value of x.
5x
X-3

Answers

The answer is 3. This is because the perimeter is 30 so 5x+5x+x-3+x-3 = 30. Thus you have 12x-6=30 so x = 3

Using the perimeter formula of the rectangle, the value of x is 3 inches.

What exactly are rectangles?In the Euclidean plane, a rectangle is a quadrilateral with four right angles.A parallelogram with a right angle or an equiangular quadrilateral, where equiangular means that all of its angles are equal, are other ways to define it.A rectangle with four equal-length sides is a square.Rectangles are enclosed 2-D shapes with four sides, four corners, and four right angles.Equal and parallel opposite sides make up a rectangle.

So, the value of x will be:

The formula for the perimeter of the rectangle: 2(l+b)

Now, put the values in the formula and calculate x as follows:

2(l+b) = 302(5x+x-3) = 3010x + 2x -6 = 3012x - 6 = 3012x = 30+612x = 36x = 36/12x = 3

Therefore, using the perimeter formula of the rectangle, the value of x is 3 inches.

Know more about rectangles here:

brainly.com/question/25292087

#SPJ2

Look at this figure: What is the shape of its bases?

Answers

The shape of its bases is D. Triangle
They are triangle
D is correct.

Plssss help. High school mathematics

Answers

UT= 15
Hope it helps

Help please I beg you. There’s a picture of the question and answers

Answers

Hello ur answer would be b.

A sphere with a diameter of 14 inches.
What is the appoximate surface area of the sphere? Use 22/7
for π. in²

Answers

Answer:

615.752

Step-by-step explanation:

please mark as brainliest if correct

thank you

Answer:

$ 15. 752 is the answer.

the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of the shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?​

Answers

Answer:

30.17feet high

Step-by-step explanation:

Given the following

the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)

angle of elevation = 38°

Required

Height of the flagpole (opposite)

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 38 = H/49

H = 49sin38

H = 49(0.6157)

H = 30.17feet

Hence the flagpole is 30.17feet high

A - 57 7/9
B- 11 2/3
C- 48 2/9
D-28 2/3

Answers

Answer:

i would say B is the answer

Step-by-step explanation:

Answer:

A is the correct answer.

Step-by-step explanation:

V=l*b*h

=4 1/3 * 3 1/3 * 4 ft^3

=13/3 * 10/3 * 4 ft^3

=520/9

= 57 7/9

You have a box with 5 blue marbles, 4 red marbles, and 9 yellow marbles. You are going to pull out one marble, record its color, put it back in the box and draw another marble. What is the probability of pulling out a blue marble followed by a yellow marble?

Answers

Answer:

I think it's 45/196.

Step-by-step explanation:

Not sure though, no explanation.

The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

What is probability ?

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Based on the given conditions, formulate 9 ×9÷((9 + 5 + 4) ×(9 +5 +4))

Calculate the product or quotient = [tex]\frac{81}{(9 +5 + 4) * (9 + 5 + 4)}[/tex]

Calculate the sum or difference=  [tex]\frac{81}{(14 + 4) * (9 +5+4)}[/tex]

Calculate the sum or difference = [tex]\frac{81}{18 * (9+5+4)}[/tex]

                                                     = [tex]\frac{81}{18 * (14 + 4)}[/tex]

                                                     =[tex]\frac{81}{18 * 18}[/tex]

Calculate the product or quotient = [tex]\frac{81}{324}[/tex]

Cross out the common factor = [tex]\frac{1}{4}[/tex]

              get the result 25% or 0.25

Therefore, The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

Learn more about probability  brainly.com/question/743546

#SPJ2

The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Which statement is best supported by the data in the dot plots?

A The range for Daniel's data is greater than Sam's range.

B The median for Daniel's data is the same as the median for Sam's data.

C The range for Daniel's data is the same as the range for Sam's data.

D The median of Sam's data is greater than the median of Daniel's data.

Answers

Answer:

B.

Step-by-step explanation:

Sam median = 12 which has 3 points scored.

Daniel median = 16 which has 3 points scored.

Both scored the same amount of data which is 3 points.

Both the ranges are 16. so it cant be A or C.

The length of your family's garden is 3 feet greater than the width. The area of the garden is 460 square feet. What are the dimensions of the garden?

Answers

Given:

The length of your family's garden is 3 feet greater than the width.

The area of the garden is 460 square feet.

To find:

The dimensions of the garden.

Solution:

Let x feet be the width of the garden. Then,

Length = [tex]x+3[/tex] feet

The area of a rectangle is:

[tex]A=l\times w[/tex]

Where, l is the length and w is the width of the rectangle.

The area of the rectangular garden is:

[tex]A=(x+3)\times x[/tex]

[tex]A=x^2+3x[/tex]

It is given that the area of the garden is 460 square feet.

Putting [tex]A=460[/tex], we get

[tex]460=x^2+3x[/tex]

[tex]0=x^2+3x-460[/tex]

Splitting the middle term, we get

[tex]x^2+23x-20x-460=0[/tex]

[tex]x(x+23)-20(x+23)=0[/tex]

[tex](x+23)(x-20)=0[/tex]

[tex]x=-23,20[/tex]

The width of a garden cannot be negative. So, [tex]x=20[/tex].

Now,

[tex]l=x+3[/tex]

[tex]l=20+3[/tex]

[tex]l=23[/tex]

Therefore, the length of the garden is 23 feet and the width of the garden is 20 feet.

In the triangle below, with right angle Find the degree measure of each angle in the triangle.

Answers

Answer:

90°, 62.8° and 27.2°

Step-by-step explanation:

180 = 5x + 133

47 = 5x

9.4= x

2 * 9.4 + 44 = 62.8°

3 * 9.4 - 1 = 27.2°

just some simple math fro points reward brainliest

Answers

First one is a function and the second one is also a function !

Answer: first one is function second is not a function

Step-by-step explanation:

What is the length of the unknown
leg of the right triangle?

Answers

Answer:

2ft

Step-by-step explanation:

PLEASE NEED HELP FAST!!

Buying one item at regular price and buying a second identical item for 50% off is the same as buying both items for 25% off.
If the regular price of an item is x dollars, which equation illustrates this relationship?
O A x+0.5x = 2(0.25.x)
B. X-0.5.x = 2(0.25.x)
O C. 1-0.5x = 2(0.75.8)
D. X+0.5.x = 2(0.75.x)


Answers

Answer:

b

Step-by-step explanation:

Answer:

ok

Step-by-step explanation

part b

Find c. Round to the nearest tenth:

Answers

Answer:

c=56.3

Step-by-step explanation:

Sorry for the bad writing and diagram haha

Which equation is true?
A.
43 + 24 = 38 + 30
B.
43 + 24 = 38 + 19
C.
43 + 24 = 38 + 24
D.
43 + 24 = 38 + 29

Answers

D. 43 + 24 = 38 + 29.

Answer:

43 + 24 = 67

38 + 29 = 67

This means that there equal making

D. 43 + 24 = 38 + 29

The correct answer.

Help please 34 points

Answers

Answer:

B is ans ..................

Answer:

B is the correct answer

Step-by-step explanation:

please helppp , im desperate !!

Answers

Answer:

-8

Step-by-step explanation:

Find the area of this parallelogram. Be sure to include the correct unit in your answer.

Answers

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

Answer:

A = 126 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 9 , then

A = 14 × 9 = 126 cm²

Grace has $500 in her bank
account. Every week she
withdraws $35. How
many
weeks
can she withdraw the money if
she wants to keep her account
above $250?

Answers

She can withdraw $35 for 7 weeks and still maintain a balance of $250 or greater

Need more help guys :(

Answers

last one is correct
good luckkkkkkk

Step-by-step explanation:

Write a rule to describe the transition of a point from (-3,3) to (-2,2)

In the answers, we see that the rule must be formatted as:

(x,y) ⇾ (x _ 1, y _ 1)

Soo . .  we take the first x (-3) and the second x (-2) and try the 2 methods:

-3 - 1 = -4

-3 +1 = -2

So we see that the first one has to + 1

Here's the rule so far.

(x,y) ⇾ (x + 1, y _ 1)

Next, take the first y (3) and the second y (2) and repeat the 2 methods:

3 + 1 = 4

3 - 1 = 2

Here we get that we have to - 1

Therefore, the rule to describe the transition of a point from (-3,3) to (-2,2) is:

(x,y) ⇾ (x + 1, y - 1)

Which is option 4 or D.

Hope this helps you understand a bit better! =)

Find the value of x and y that will make each quadrilateral a parallelogram.​

Answers

Answer:

6

Step-by-step explanation:

Answer:

x = 15, y = 7

Step-by-step explanation:

opposite angles are congruent in a parallelogram:

=> 3x + 4 = 7y

=> 3x - 7y = -4

the same-side interior angles of a parallelogram are supplementary angles, which means they sum to 180°:

=> 8x + 11 + 7y = 180

=> 8x + 7y = 169

add the two equation 3x - 7y = -4 and 8x + 7y = 169 to eliminate y and solve for x:

=>  3x - 7y = -4

    8x + 7y = 169

+) ___________

    11x         = 165  => x = 15

plug  x = 15 into one of the two equation to solve for y:

=> 3(15) - 7y = -4

=> 45 - 7y = -4

=> 7y = 49

=> y = 7

What is the volume of this sphere
Use π=3.14 and round your answer to the nearest hundredth

Answer All of my questions to get 180 points

Answers

Answer:

3052.08 m³

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{3}\pi {r}^{3} }[/tex]

Given that the radius is 9m, r=9.

Volume of sphere

[tex] = \frac{4}{3} (3.14)(9^{3} )[/tex]

= 3052.08 m³

Answer:

Solution :-

Volume = 4/3 • π • r³

Volume = 4/3 • 3.14 • (9)³

Volume = 4/3 • 3.14 • 9 • 9 • 9

Volume = 4 • 3.14 • 27 • 9

Volume = 3052.08 cm³

[tex] \\ [/tex]

Other Questions
Can somebody give me the answer to this question please !NO LINKS, NO FILES!please :) Answer asap! Thanks! QUESTION: The last two lines of this stanza set the tone for the whole poem. What is the tone? A. Wistful B. Defiant C. Jubilant These are the last two lines of the stanza:You may trod me in the very dirt But still, like dust, I'll rise. What does your point of view add to your research project?a. It makes people want to learn more about your topic.b. All of these are true.c. It makes your opinions more believable.d. It helps people see you as more reliable. Please help me and do your work because I mustn't fail this math class for the sake of my sanity Select all the correct answers.Which three of the following describe a proposal?A.states the problemB.is limited to two pagesC.persuades audience to take an actionD.uses wordy and vague languageE.is based on background researchResetNext What are some ways a reviewer would use a quotation to support his or her perspective on a work? (NO LINKS) Please help this assignment is over due and I don't get it thx;) Why do hurricanes lose strength when they move over land?A.) There is no longer a source of warm, moist air.B.) There is not enough energy coming from the Sun.C.) Evaporation and condensation cannot take place over land.D.) The winds on the land cancel out the winds of the hurricane Select the correct answer.What is the corresponding point on the unit circle for the given radian measure?0 = 7pi/6 Is this set of ordered pairs a function or not a function? What did Paul do?A. Enforced Jewish lawsB. Lead the ZealotsC. Converted non-Jews to ChristianityD. Opposed the Nicene Creed What is the meaning of the word obsolete as used in the passage? Use the antonym current as a context clue to help you determine the meaning. If the surface area of a cube is 294 in and the surface area increased by a scale factor of 3, what is the area of the enlarged cube? A new school is being built in the local school district. It will have three computer labs with 28 computers each. There will be 58 classrooms with 2 computers each that need to be on one sub-subnet. The office staff and administrators will need 7 computers. The guidance and attendance office will have 5 computers. The school has been given the address 223.145.75.0/24.Complete the information required below.Subnet Subnet Mask (/X) Subnet Address First Usable Host Last Usable Host Broadcast Address12345678910 " The capable manpower is the key factor of any vocation ". Justify this statament with suitable examples . Which model represents 1/2 divided by 1/6? Which of the following definitions best fits the term underclass?A.a city's level of pollutants and emissionsB.a city's poorest and most disadvantaged citizensC.a city's urban heat island structuresD.a city's economic leadership Joey collects stamps. He keeps his favorite 10 stamps in an envelope in his room. This is 8% of his entire collection of stamps. What is the total number of stamps in his stamp collection? *Plsssss help, I am stuck!!! A weight of 270 pounds falls