Jason and Henry go to the movie theater and purchase refreshments for their friends. Jason spends a total of $66.75 on 12 drinks and 1 bag of popcorn. Henry spends a total of $82.50 on 3 drinks and 10 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of popcorn, to the nearest cent.

Answers

Answer 1

Answer:

The cost of one drink is $5

Step-by-step explanation:

3x-120x=82.50-667.5

120x-3x=667.50-82.50

117x=585

x=5


Related Questions

PLEASE HELP ME ASAP!!!!!!!!

Answers

Answer:

-3(-1)=

Step-by-step explanation:

Find the sum of the numbers. Express your answer in scientific notation.

(1.83 times 10 Superscript 13 Baseline) + (6.4 times 10 Superscript 11)

6.4183 times 10 Superscript 11
8.23 times 10 Superscript 12
1.894 times 10 Superscript 13
2.471 times 10 Superscript 13

Answers

1.83 x 10¹³ + 6.4 x 10¹¹ = 10¹⁰ (1.83 x 10³ + 6.4 x 10¹)

1.83 x 10¹³ + 6.4 x 10¹¹ = 10¹⁰ (1830 + 64)

1.83 x 10¹³ + 6.4 x 10¹¹ = 1894 x 10¹⁰

1.83 x 10¹³ + 6.4 x 10¹¹ = 1.894 x 10¹³

Answer:

C UwU

Step-by-step explanation:

3.3...3 times 12 times equal in exponential form

Answers

Answer:

If you mean 3^12 then the answer is 531,441

Charlene Langhorst's gross weekly salary is $680. Her federal withholding is $101.62. Her employer takes out the standard rates for FICA (Social Security/Medicare). The state tax is 1.5% of gross pay. Each week she pays $32.40 for medical insurance. What are Charlene's total weekly deductions? *

Answers

Answer:

Total deductions =  $196.24

Step-by-step explanation:

Gross weekly salary = $680

federal holding = $101.62

FICA standard rate = 7.65% of gross earnings

= 7.65% of $680 = 0.0765 × 680 = $52.02

∴ FICA deductions = $52.02

state tax = 1.5% of gross pay = 1.5% of $680

state tax = 0.015 × 680 = $10.2

∴ state tax = $10.2

Medical insurance = $32.40

Total Deductions = 101.62 + 52.02 + 10.2 + 32.40 = $196.24

What is the difference between comprehensive and collision coverage in an auto policy​

Answers

Answer:

their both the same

Step-by-step explanation:

add and subtract divide multiply

What am I supposed to do?

Answers

Answer:

28

Step-by-step explanation:

ABC=56, next BD is a bisector which means 1 and 2 are equal so 56/2 = 28, both 1 and 2 equal 28

Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (-2,3), (5,5)

Answers

Answer: M= 2/7

Step-by-step explanation:

Let $f(x) = 2x - 3$ and $g(x) = x + 1$. What is the value of $f(1 + g(2))$?

Answers

Answer:

The value of f(1 + g(2)) is 5

Step-by-step explanation:

Let us solve the question

∵ f(x) = 2x - 3

∵ g(x) = x + 1

We need to find the value of f(1 + g(2))

That means we will replace x in f(x) by 1 + g(2)

→ g(2) means substitute x in g by 2

∵ g(x) = x + 1

∵ x = 2

∴ g(2) = 2 + 1

g(2) = 3

∵ x of f = 1 + g(2)

∵ g(2) = 3

∴ x of f = 1 + 3

x of f = 4

→ To find f(1 + g(2)) substitute 1 + g(2) by 4

∵ f(x) = 2x - 3

∵ x = 4

∴ f(4) = 2(4) - 3

∴ f(4) = 8 - 3

f(4) = 5

f(1 + g(2)) = 5

2q − q = 18 what does q=

Answers

Answer:

18

Step-by-step explanation:

Because -1 q would make it a positive 1q (q) so q=18

Which of the following statements is true?

The number 0 is a natural number.
The number is an integer.
The value π is a rational number.
The number -5 is a real number.

Answers

Answer: the number -5 is a real number

Real numbers are both negative and positive numbers. -5 is a negative number. Since real numbers include negative numbers, -5 is the answer.

Hope this helps!

Answer:

the number -5 is a real number

Step-by-step explanation:

A bottled water company charges $8 per month for a water
cooler and $5 per bottle b of water. Write an equation that
represents the total cost C for monthly water service.

Answers

8+5b=c $8 a month added to $5 multiplied by amount of water bottles = the total cost a month

What is the measure of angle x? 62" X​

Answers

Answer:

c

Step-by-step explanation:

62+90=152

180-152=28

the sum of the interior angles must equal 180 degrees

Angle x measures 28°

What is triangle?

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given,

In the figure, interior angles of triangle measures =

62°, right angle = 90°, x

Sum of interior angles of a triangle = 180°

⇒ 62° + 90° + x = 180°

⇒ 152° + x = 180°

⇒ x = 180° - 152°

⇒ x = 28°

Hence, 28° is the measure of angle x.

Learn more about triangle here:

https://brainly.com/question/2773823

#SPJ2

An anthill has a volume of 8792 mm3 of dirt. Its radius is 20 mm. How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the
slant height, s, of the cone.) Answer the questions to find out.

Answers

Answer:

The slope is 29 mm.

Step-by-step explanation:

What we know:

The radius of this cone is 20 mm, and the height is 21mm

s = √r^2 + h^2

s = √20^2 + 21^2

s = √400 + 441

s = √841

s = 29 mm

The slant height of the cone is required,

The ant would have to crawl [tex]29\ \text{mm}[/tex]

Volume of cone

V = Volume of cone = [tex]8792\ \text{mm}^3[/tex]

r = Radius of cone = 20 mm

h = Height

s = Slant height.

Volume of a cone is given by

[tex]V=\dfrac{1}{3}\pi r^2h\\\Rightarrow h=\dfrac{3V}{\pi r^2}\\\Rightarrow h=\dfrac{3\times 8792}{3.14\times 20^2}\\\Rightarrow h=21\ \text{mm}[/tex]

From Pythagoras theorem we have

[tex]s=\sqrt{r^2+h^2}\\\Rightarrow s=\sqrt{20^2+21^2}\\\Rightarrow s=29\ \text{mm}[/tex]

Learn more about slant height:

https://brainly.com/question/6613758

Write this word sentence as an inequality.
A number y is greater than –8 and is at most –7.
Pleaseeee!!! Someone hurry!!!

Answers

Answer:

-8<y≤-7

.Step-by-step explanation:

7.99, -7.567854, -7.1, -7, but it COULD NOT be -8.

Heeeeeeeeelp plssssssssss

Answers

Answer:

26 notches would be made.

Answer:

c) 26

Step-by-step explanation:

If I am understanding the question correctly it's just asking how many notches there will be on a certain length of metal and so in order to find it, you would just divide 6 1/2 by 1/4, also written as 6.5 divided by 0.25, to get 26.

A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first?

Answers

Answer:

The truck is on pace.

Step-by-step explanation:

To find which truck will arrive first, you need to find each vehicle's mph. To get the mph of each vehicle you just need to divide the distance by time.

Bus: 110 (miles) ÷ 2 (hours) = 55 (miles per hour)

Truck: 180 (miles) ÷ 3 (hours) = 60 (miles per hour)

When you do this you can see the mph of the bus is < the mph of the truck.

If you have any questions please leave them in the comments.

If f(x) = 2 + 6x and g(x) = x2 +3 , determine g(4).

Answers

Answer:

The answer is 19.

Step-by-step explanation:

You have to substitute x = 4 into the function of g(x) :

g(x) = x² + 3

g(4) = 4² + 3

g(4) = 16 + 3

g(4) = 19

Change the number below into scientific notation. 3,450,000,000

Answers

Answer:

3.450*10^4

Step-by-step explanation:

3.45x10^9 is the correct answer for scientific notation

The answer to this question

Answers

Answer:

80

Step-by-step explanation:

It's a 180 angle

name the sets of numbers to which 7/9 belongs

Answers

Answer:

OK.

the sets are

natural numbers (or counting numbers), this is like 1,2,3,4,5 etc

whole numbers, this is including 0, so 0,1,2,3,4,5,6 etc

integers, this includes the previoius set and negatives, so -3,-2,-1,0,1,2,3,4,5 etc

rational numbers, this is the set of numbers that can be written in form a/b where b≠0, so all integers can be written like this, like example -3=-3/1, so -7/9 belongs here

-7/9 goes in the rational set

Me after jumping in joy after I found out Netflix is facing criminal charges

Answers

lol same tbh even tho ion  have netflix anymore

What is the domain and range of this graph? You can write your answer using words or mathematical notation

Answers

Answer:

The domain of the graph is (-infinity, infinity)

The range of the graph is [0, infinity)

Please mark as helpful if this is helpful!

Thanks

ILL MARK BRAINLIEST

15. EYE COLOR If −2 of the girls in class have brown eyes and −1 of the girls 34
have blue eyes, what fraction of the girls in class have neither blue or brown eyes?



16. PIE Ubi made a banana cream pie. His brother ate −1 of the pie and his 23
sister ate −5 of the pie. How much less did his brother eat than his sister?

Answers

Answer:

for 31/34 is the answer for eye color

Step-by-step explanation:

2 + 1 =3

34-3=31

31 out of the 34 students have neither blue or brown eyes.

31/34

Can someone please explain this to me i feel like this is really easy but I just don’t get it

Answers

SUPER EASY JUST GOOGLE SEARCH IT ANF YOU SHOULD BE FINE.

if tiffany drove 21 miles using 7 gallons of gas, how many miles did she drive per gallon.?​

Answers

Answer: she drove 3 miles per gallon

Step-by-step explanation:

21 / 7 = 3 i hope this helps

Help me please I don’t get it

Answers

Answer:

150 meters

Step-by-step explanation:

5x3=15

5x4=20

20x15=300

300/2=150

Answer:

150  meters <3

Step-by-step explanation:

Which square root is closer to 9?

Answers

The square root of 9 is 3. 3x3= 9. Square root is when you can take a number , multiply it by itself and get the given number (9 , in this case).



1. Identify the graph that represents the system of
linear equations

Answers

Hi I hope you know I’m not doing

EASY INEQUALITIES!!!!

Answers

Answer:

2.16, 3.45

Step-by-step explanation:

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

2.16< [tex]\sqrt{5}[/tex] < 3.45

Hope this helps!! :D

Jaime needs a new roof on her house. The cash cost is $7500. She decides to finance the project by paying 20% down , with the balance paid in 36 monthly payments of $189.40. (a) What finance charge will Jaime pay? (b) What is the APR to the nearest half percent ?

Answers

Answer:

(a) What finance charge will Jaime pay?

$818.4

(b) What is the APR to the nearest half percent ?

8.5%

Step-by-step explanation:

(a) What finance charge will Jaime pay?

The cash cost is $7500. She decides to finance the project by paying 20% down

Amount paid for down payment = $7500 × 20/100

= $1500

Amount left = $7500 - $1500

= $6000

The balance paid in 36 monthly payments of $189.40.

Hence: $189.40 × 36 = $6818.4

The finance charge = $6818.4 - $6000

= $818.4

(b) What is the APR to the nearest half percent ?

Step 1

Finance charge/ Amount left × 100

= 818.4/6000 × 100

= 13.64

Using the APR table:

The APR to the nearest half percent = 8.5%

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