Tony and some friends went to the movies. They bought 4 drinks and 2 tubs of popcorn and spent a total of $32.50 on the food. Each drink costs $3.50 less than a tub of popcorn.
a. Define a variable. Write an equation that can be used to find the cost of one tub of popcorn.
b. Solve the equation to find the cost of a tub of popcorn.

Answers

Answer 1
Your answer would be B

Related Questions

Write each parabola in the form y−k=a(x−h)^2 and determine its vertex: y=−4x^2+16x−19

Answers

X = -b/2a
-16/2(-4) = 2
Substitute 2 into the equation
Y = -4(2)^2 + 16(2) - 19
Y = -16 + 32 - 19 = -3
Vertex = (2, -3)
Vertex form y+3=-4(x-2)^2

Math problem pls help I will give brainiest

Answers

Answer:

y=5

Step-by-step explanation:

125 +125+13y+9y=360

punch it into math-way.

250+22y=360

22y= 110

y=5

A taxi company charges $2.25 for the 1st mile and then $0.20 per mile for each additional mile, or F= $2.25+ $0.20 (m-1) where F is the fare and m is the number of miles. If Juan’s taxi fare is $7.65 ,how many miles did he travel in the taxi?

Answers

Answer:

28

Step-by-step explanation:

F=2.25+0.20(m-1)

7.65=2.25+0.20(m-1)

5.4=0.20(m-1)

5.4/0.20=0.20(m-1)/0.20

27=m-1

28=m

Add the two expressions.

3z−4 and 2z + 5


I need it asap please help!

Answers

Answer:

3(1)-4=-1 2(1)+5=7

Answer:

5z+1

Step-by-step explanation:

it was simple

50% of trick or treaters dressed up as a ghosts.
You have seen 33 ghosts. How many trick or
treaters did you see in all?

Answers

Answer:

66

Step-by-step explanation:

50% = 1/2

33 x 2 = 66

4. Verify that the functions fand g are inverses of each other by showing that
f(g(x)) = x and g(f(x)) = x.

F(x)=2x-3/x+4
g(x) = 3+4x/2-x

Answers

Answer and step-by-step explanation:

We just have to apply one function in the other one. See:

→ f(g(x)):

[tex]f(x) = \dfrac{2x-3}{x+4}\\\\f(g(x)) = \dfrac{2g(x)-3}{g(x)+4} = \dfrac{2\cdot\dfrac{3+4x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{6+8x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{(6+8x)-3(2-x)}{2-x}}{\,\,\,\dfrac{(3+4x)+4(2-x)}{2-x}\,\,\,}=\dfrac{(6+8x)-3(2-x)}{(3+4x)+4(2-x)}\\\\f(g(x)) =\dfrac{6+8x-6+3x}{3+4x+8-4x}=\dfrac{11x}{11}\\\\\\\boxed{f(g(x)) = x}[/tex]

→ g(f(x)):

[tex]g(x) = \dfrac{3+4x}{2-x}\\\\g(f(x)) = \dfrac{3+4f(x)}{2-f(x)} = \dfrac{3+4\dfrac{2x-3}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{3+\dfrac{8x-12}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{\dfrac{3(x+4)+(8x-12)}{x+4}}{\,\,\,\dfrac{2(x+4)-(2x-3)}{x+4}\,\,\,}=\dfrac{3(x+4)+(8x-12)}{2(x+4)-(2x-3)}\\\\g(f(x)) =\dfrac{3x+12+8x-12}{2x+8-2x+3}=\dfrac{11x}{11}\\\\\\\boxed{g(f(x)) = x}[/tex]

What verifies that f and g are inverses of each other.

Q.E.D.

Write the slope intercept form of the equation of the line through the given point with the given slope

Through: (-2,1), slope = -3

Answers

Slope form: y= mx + b
Plug it in: y = -3x + b
1 = -3(-2) + b
1 = 6 + b
b = -5
Final equation: y = -3x -5

List all sets that -1/3 belongs to.

Answers

Answer:

dfffffffff

Step-by-step explanation:

xcdsw23456iu76

What Is 55 > -7x + 6 ?

Answers

Answer:

x>−7

Step-by-step explanation:

55−6>−7x

49>−7x

​7

​49

​​ <x

−7<x

x>−7

if you had to express a typical NBA player's salary with a single number (round to the nearest 100000) you would use

Answers

Answer:

wat

Step-by-step explanation:

:∫ PLZZ help ;⊃ plz no playing around I need actual answer

Answers

Answer:

d.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

15/10 goes down to 3/2 divide 15 by 5

21/14 goes down to 3/2 divide 21 by 7

Please help!
Thanks in advance.

Answers

Answer:

y = (1/4)x + 5/2

Step-by-step explanation:

The lines slope needs to be opposite of the equation's so its positive (1/4)

This is the only slope listed that is that number so no need to calculate for the y value!

HELPP!! ITS A LOT BUT YOU GET POINTS!

Answers

Answer:

To hard me brain go BOOM

Step-by-step explanation:

lol sorry i cant

We have a bag that contains 100 balls, 50 of them red and 50 blue. Select 5 balls at random. What is the probability that 3 are blue and 2 are red?

Answers

Answer:

Likely, I think I havent been in this for a long time so i may be a little rusty. But anyways, I hope this helped!

Step-by-step explanation:

32% is the probability that 3 are blue and 2 are red.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

We have a bag that contains 100 balls, 50 of them red and 50 blue.

We, Select 5 balls at random.

the probability that 3 are blue and 2 are red = 50C3*50C2/50C5

solving we get,

19600*1225/75287520

=24010000/75287520

=0.32

=32%

Hence, 32% is the probability that 3 are blue and 2 are red.

To learn more on probability click:

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PLEASEEEE HELPPP MEEE :(

Answers

Answer:

Question 5 is B

Because after I simplified I got B and its the only one that makes sense.

Find 3 consecutive odd integers such that 10 times the first is 59 more than the third?

Answers

Answer: The required three consecutive odd integers are 7, 9 , 11.

Step-by-step explanation:

Let x , x+2 , x+4 be the three consecutive odd integers.

As per given ,  

10(x) = 59+x+4

⇒10x= 59+x+4

⇒ 9x= 63

⇒ x= 7   [ divide both sides by 7]

Hence, the required three consecutive odd integers are 7, 9 , 11.

A car running at a constant speed covers a distance of 492.36 km in
12 hours. Calculate the distance covered by the car in 51/2 hours.​

Answers

Answer:

the anser is 1046.265 because in

492.36=12hour

? =51/2hour then criscros both side 492.36*25,5/12=492.36

B.F. Retread, a tire manufacturer, wants to select one of three feasible prototype designs for a new tire; A, B, C.

Revenues
Low (0.30) Medium (0.50) High (0.20)
A 120,000 255,000 390,000
B 130,000 295,000 460,000
C 100,000 300,000 480,000

Required:
Calculate the highest value you would pay for a highly reliable forecast.

Answers

Answer:

c

Step-by-step explanation:

why is earth known as diatomaceous Earth​???
From biology

Answers

Answer:

Diatomaceous earth is made from the fossilized remains of tiny, aquatic organisms called diatoms. Their skeletons are made of a natural substance called silica. Over a long period of time, diatoms accumulated in the sediment of rivers, streams, lakes, and oceans. Today, silica deposits are mined from these areas.

Let u = 2i + 3j, v=-i, and w = 5i – 6j. What is the magnitude of 2(u - V + w)?

•10.0
•13.4
•17.1
•21.6

Answers

Answer:

B. 17.1

Step-by-step explanation:

Edge 2020. Hope this helps.

The magnitude of 2(u-v +w) is √292.

The given vectors are u = 2i + 3j, v=-i, and w = 5i – 6j.

We need to find the value of 2(u-v+w).

How to find the magnitude of vector?

The formula to determine the magnitude of a vector (in two-dimensional space) v = (x, y) is: |v| =√(x²+ y²). This formula is derived from the Pythagorean theorem.

Now, 2(2i + 3j-(-i)+5i-6j)

=2(2i+3j+i+5i-6j)

=2(8i-3j)=16i-6j

The magnitude of 16i-6j=√16²+6²=√256+36=√292

Therefore, the magnitude of 2(u-v +w) is √292.

To learn more about the magnitude of vectors visit:

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By which rule are these triangles congruent?

Answers

Answer:

sss

Step-by-step explanation:

One day Clare runs 4 miles. The next day she
runs 50% of that. How far does she run in total?

Answers

Clare runs 2 miles. 6 miles total. 50% is also 1/2.

Answer:

She runs 6 miles in total.

-a^2b^2c^2(a+b-c) find the product

Answers

Answer:

-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3

I hope it will be useful.

0.3, 0.08, 0.003, 0.83
In order from smallest to largest

Answers

0.003, 0.08, 0.3, 0.83

Answer:

0.003, 0.08, 0.3, 0.83

Vocabulary How can you tell when an equation in one variable has infinitely many solutions or no solution? When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions. When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions. When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions. When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Answers

Answer: Choice C) When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

For example, let's say we had the equation x = x+2. Subtracting x from both sides leads to 0 = 2 which is a false statement. No matter what we replace x with, the equation x = x+2 is always false. That's why we don't have any solutions here.

For an equation like x + 2 = x + 2, subtracting x from both sides leads to 2 = 2 which is always true. A true equation is one where the same number is on both sides. No matter what we replace x with, the equation will be true. Therefore, there are infinitely many solutions.

To tell when an equation in one variable has infinitely many solutions or no solution;

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution.

You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

The condition for an equation with no solution warrants that the equation upon evaluation yields a false statement as in the case of 1 = 2. In this case, such an equation has no solution.

The condition for an equation with infinitely many solutions warrants that the equation upon evaluation yields a true statement as in the case of y + 5 = y + 5. In this case, such an equation has infinitely many solution.

Read more;

https://brainly.com/question/11966980

Y=2x^3 linear or nonlinear

Answers

Answer: linear

Step-by-step explanation:

Answer:

LINEAR...................

Step-by-step explanation:

y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph. The slope is can be described as riserun , and can be written as 21 . Start at (0,3)

What is the equation of a line that is perpendicular to 2x+y=−4 and passes through the point (2, −8) ?​

Answers

Answer:

y=1/2z-9= Perpendicular line

y=-2x-4= parrallel

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{2}[/tex] (x) - 9

Step-by-step explanation:

Set the given equation to standard form: y = -2x -4

Set the slope of the given equation's slope to the reciprocal ( -2 --> 1/2).

Thus, you will have y = 1/2x + b

Insert the given information: (2, -8)

-8 = 1/2 (2) + b

Half of 2 is 1: subtract it on both sides...

-8 = 1 + b

-1    -1      

-9 = b

So, the equation will be y = 1/2(x) - 9

pattern 60 52 44 36​

Answers

Decreasing by 8 each time

Earl runs 60 meters in 40 seconds. How many meters per second does Earl run?

Answers

Earl runs 1.5 meters per second.................

Need help will mark Brainliest

Answers

I believe it is x=55. I could be wrong lol

Assuming the triangle adds up to 180°, x = 55 because 55 + 5 = 60. 60 x 3 = 180

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