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

47 Points | Please help! | Giving Brainliest to correct answer | Reporting false answers

Answers

Answer:

Maria :>

Step-by-step explanation:

because Gross Income is what you take out of your net income. so if your taking something out of it, that means its less.

Which of the following could be the equation of the quadratic shown below?

Answers

Answer:

option A

Step-by-step explanation:

There's no data provided in the graph. We can interpret from the options provided .

Firstly we see that the parabola opens downwards , so the coefficient of a will be negative .

Secondly we can observe the graph cuts y axis above the x axis . So the sign of constant will be positive .

All these matches with option a . Hence option A is correct .

[tex]\implies y = -2x^2 + 8x + 7 [/tex]

The table shows the results of a survey of 150 students. Use the table to find the probability of a student participating in each sport.

1. Tennis
2. Football
3. Gymnastics
4. Volleyball
Can someone please help!

Answers

Answer:

See below

Step-by-step explanation:

Using the table of 150 students, we can configure probabilities.

18 students participate in tennis, so the probability of a student participating in tennis is 18/150, or 3/25 simplified.

45 students participate in football, so the probability of a student participating in football is 45/150, or 3/10 simplified.

12 students participate in gymnastics, so the probability of a student participating in gymnastics is 12/150, or 2/25 simplified.

9 students participate in volleyball, so the probability of a student participating in volleyball is 9/150, or 3/50 simplified.

PLEASE ANSWER I WILL GIVE YOU BRAINLIEST

Answers

Answer:

answer is A

hope it helps

A is the answer in here

Rewrite the quadratic expression in faceted format: f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21

Answers

Answer:

[tex]f(x)=-x^2-4x+21[/tex]

Step-by-step explanation:

The given equation is :

f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21.

We need to rewrite this equation in faceted format.

The general form of a quadratic equation is given by :

[tex]f(x)=ax^2+bx+c[/tex]

We have,

a = -1, b = -4 and c = 21

Substitute all the values,

[tex]f(x)=-x^2-4x+21[/tex]

So, the required equation is equal to [tex]f(x)=-x^2-4x+21[/tex].

large bag of popcorn costs $ 4. A small bag costs $ 3. The theater sold 59 bags of popcorn and made $ 200. How many of each size was sold?

Answers

Answer:

36 units of small size popcorn

23 Units of Large popcorn

Step-by-step explanation:

Data:-

Cost of large bag of popcorn = $4/-

Cost of Small bag of popcorn = $3/-

Unit Sold = 59 Bags

Sale = $200.

Required:-

No of unit each size sold = ?

Solution:-

After applying direct formula to computation is below mentioned:

= (36 x 3)+(23x4)

=$200

Can someone help me find the surface area and volume for these shapes ty.

Answers

Answer:

you multiply im pretty sure

Step-by-step explanation:

E
1)
AC = 9 cm
AB = 3 cm
DE = 20 cm
Angle ABC = angle CBD= angle BDE = 90°
20 cm
9 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
50°
А
D
→B
3 cm

Please could you could give me a step by step.

Answers

Answer:

Step-by-step explanation:

We can use Hypotenuse Theorem for this:

For triangle ABC,

AC²=CB²+BA²

9²=CB²+3²

Switch the sides

-CB²=3² -9²

-CB²= 9-81

-CB²= -72

the signs cut each other

CB²=72

the square changes sides

CB=√72

CB= 8.49 cm

Now triangle CBD

We have the length of CB but not the other two whereas we have the angle

It will be sin

As we know sin= O/H

Here O is CB whereas H is CD

Put the values

sin 50= 8.49/H

H= 8.49 ÷sin 50

Calculate

H=11.1 cm

As we know H is CD so CD is 11.1 cm

Hope it helps

Match the function with the graph

Answers

y=x^3+2 , It’s the answer ;)
Have a good day!

What type of association (positive, negative, no) is shown between the price of a ticket and concert attendance?

Answers

Answer:

positive

Step-by-step explanation:

To keep her grades up madeline must earn more than 80 points on her science fair project. Let p represent the number of points she could earn.

Answers

Answer:

[tex]p > 80[/tex]

Step-by-step explanation:

Given

Points = More than 80

Required [Missing from the question]

Represent as an inequality

Let p represents the number of points.

More than means greater than i.e. >

Hence, more than 80 is represented as;

[tex]p > 80[/tex]

Why do equivalent ratios form a straight line when graphed?

Answers

Answer:

The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edgen

Please help!! Select the values for the domain & range of the function given below.

Answers

Answer:

the first one n second one

The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB?

Answers

Answer:

b) ∠ACB = 25 degrees

Step-by-step explanation:

arc BA = 50° because central angle AOB = 50°

∠ACB is inscribed angle of 50°, so it is (1/2)(50) = 25°

The measure of angle ACB is 25°. The correct option is a. 25 degrees

Circle Geometry

From the question, we are to determine the measure of angle ACB

From one of the Circle theorems, we have that

The angle at the center of a circle is twice the angle at any part of the circumference.

That is, in the given circle

<AOB = 2 × <ACB

Then,

<ACB = 1/2(<AOB)

<ACB = 1/2 × 50°

<ACB = 25°

Hence, the measure of angle ACB is 25°. The correct option is a. 25 degrees

Learn more on Circle theorems here: https://brainly.com/question/16879446

A golf ball is hit in not the air represented by the equation y= -3x^2+18x+45. The maximum height the ball will reach is____ feet

Answers

Answer:

72 ft

Step-by-step explanation:

Here, we want to get the maximum height the ball will reach

the maximum height the ball will reach is equal to the y-coordinate of the vertex of the equation

So we need firstly, the vertex of the given quadratic equation

The vertex can be obtained by the use of plot of the graph

By doing this, we have it that the vertex is at the point (3,72)

Thus, we can conclude that the maximum height the ball can reach is 72 ft

If a 40,000g cannon ball is 35m above the Earth’s surface, how much potential energy does the cannon ball have?

Answers

Answer:

Step-by-step explanation:

Remark

You could do this by converting the distance but the much more common way is to use kg and m.

Formula

PE = m * g * h

Givens

m = 40000 grams

m = 40000 grams * 1kg/1000 grams = 40 kg

g = 9.81

h = 35 m

Solution

PE = 40 * 9.81 * 35

PE = 13734 Joules

A plane is slicing the cuboid parallel to its base. Name the shape of cross section which is slicing the cuboid.PLEASE RESPOND FAST!!!!

Answers

Square duh easy like

Answer: its Square but the top one is rectangle

Can someone plz help me with this one problem plsss ??!!

Answers

Answer: 147.2

Step-by-step explanation:

Ok, so- ! Perimeter is basically each side added up, or, in this situation, times four :). They already gave you the total, so all you need to do is divide 36.8 by four, leaving you with 9.2 ! Hope this helped :)

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP


Answers

Answer:

D

Step-by-step explanation:

f(n)=-13-2(n) if n=-1 then f(n)=-15 if n=-2 then f(n)=-17

2.) Find the area of a rectangle with base length 10 cm and diagonal
length 15 cm. Hint: draw a picture
O(A) 111.8 cm
O (B) 150.0 cm
(C) 167.7 cm
O (D) 180.0 cm

Answers

i think answe is b


B final answer

PLEASE HELP ANYONE-------You were asked to calculate the average rate of change for the number of shares from 2 minutes to 4 minutes. Using math symbols, the interval between the number of shares from 2 minutes to 4 minutes is written as

Answers

Answer:

2

Step-by-step explanation:

Find the slop on the graph rise run m =

Answers

Answer:

There is no graph

Step-by-step explanation:

*I see

*I think

*I think before I speak

*I say " There is no graph

I try to make people laugh when they mess up a little, we all mess up

Can anyone help me wit this please, with an explanation

Answers

Answer:

ΔABC → ΔA'B'C'

7 up and 6 right

(x - 6, y + 7)

ΔA'B'C' → ΔA''B''C''

Reflection over the x-axis

(x, -y)

Find the value of w.
1080
400
w
z
w = [?]

Answers

Answer:

w = 54°

Step-by-step explanation:

The inscribed angle w is half the measure of its intercepted arc, that is

w = [tex]\frac{1}{2}[/tex] × 108° = 54°

What percent of $30 is $7.50?

Answers

Answer:

25%

Step-by-step explanation:

15 is 50% 7.5+7.5= 15=50% =25%+25%

Need help fast.

14 points


Answers

Answer:

B) 4.52cm²

Step-by-step explanation:

If the shaded area represents 1/4 the area of a circle, then given a diameter of 4.8cm, the area of the entire circle is A=πr²=π(4.8/2)²=π(2.4)²=5.76π=5.76(3.14)=18.0864cm²

Since we're finding 1/4 the area of the circle, then 1/4*18.0864=4.5216cm²

So the shaded area is 4.5216cm², making the closest choice B) 4.52cm²

Find the length of each arc. Round your answer to the nearest tenth.

Answers

Answer:

give the full questions please

what is the equation of the line that passes through point (4 -6) and has a slope of -3

Answers

Answer:

y-y1=m(x-x1)

y-(-6)=-3(x-4)

y+6=-3x+12

y=-3x+6the final answer

1/3 = 0.333 repeating 3/3=1 0.333*3=0.999 repeating. Does 0.999 repeating =1? Please explain I've asked this twice already!!

Answers

Answer:

yes and no

Step-by-step explanation:

0.999... is as close as you can get to 1 and not actually be there.

Most people just round up to 1

Help!!! I will give brainiest if correct!

Answers

Answer:

she would need 7 ounces

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

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