1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
JulsSmile [24]
3 years ago
13

Caleb and Jeremiah go to the movie theater and purchase refreshments for their

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

Answer:

price of each bags of popcorn = $9.75

price of each drinks = $5

Step-by-step explanation:

Let

price of each bags of popcorn = a

price of each drinks = b

Caleb total cost

7a + 2b = 78.25.......(i)

Jeremiah total cost

a + 10b = 59.75.......(ii)

7a + 2b = 78.25

a + 10b = 59.75

a = 59.75 - 10b

insert the value of a in equation (i)

7a + 2b = 78.25

7( 59.75 - 10b) + 2b = 78.25

418.25 - 70b + 2b =  78.25

418.25 - 68b = 78.25

418.25 - 78.25 = 68b

340 = 68b

b = 340/68

b = 5

Insert the value of b in equation (ii)

a + 10b = 59.75.......(ii)

a + 10 × 5 = 59.75

a = 59.75 - 50

a = 9.75

price of each bags of popcorn = $9.75

price of each drinks = $5

You might be interested in
Pete’s Painting Company will charge a one-time fee of $60 for labor and $20 for each room painted. Carla’s Creative Colors will
Nadya [2.5K]

Answer:

Pete's: f(x) = 20x + 60

Carla's: f(x) = 40x + 20

Step-by-step explanation:

Let's assume that x is the amount of rooms painted, and f(x)

For Pete's Painting Company, they charge a flat fee of $60, so we will have a constant of 60.

They also charge 20$ per room, meaning that we will multiply 20 by x, the amount of rooms painted.

This gets us the function f(x) = 20x + 60

For Carla's Creative Colors, they charge 20$ to hire the workers, meaning this will be our constant.

They also charge $40 a room, meaning we will multiply 40 by x, the amount of rooms painted.

So the function is  f(x) = 40x + 20.

Hope this helped!

3 0
3 years ago
How do you solve this?
Murrr4er [49]
(2x+5+3)(x+1) is the answer, you have to factor, hope that helps :)
8 0
3 years ago
Solve the equation 5.5g+3=2.5g+9
Hoochie [10]

Answer: g=2

Step-by-step explanation:5.5g+3=2.5g+9

We move all terms to the left:

5.5g+3-(2.5g+9)=0

We get rid of parentheses

5.5g-2.5g-9+3=0

We add all the numbers together, and all the variables

3g-6=0

We move all terms containing g to the left, all other terms to the right

3g=6

g=6/3

g=2

8 0
3 years ago
Read 2 more answers
How much is 5 divided by 4.9​
jok3333 [9.3K]

Answer:

1.02

Step-by-step explanation:

8 0
3 years ago
Un número aumentado en 17 es igual a 38. ¿Cuál es el número?<br><br> ¿Alguien sabe?
Stolb23 [73]

Answer:

En español:

El número es 21.

In English:

The number is 21.

Step-by-step explanation:

En español:

Para encontrar la respuesta, restarías 17 de 38.

38 - 17 = 21

In English:

To find the answer you would subtract 17 from 38.

38 - 17 = 21

7 0
2 years ago
Other questions:
  • I need to convert from meters to feet and i do not know how to convert.
    14·2 answers
  • Oliver is determining the number of cats in his math class. Oliver is collecting what kind of data?
    13·2 answers
  • Mr. Nelson bought a car for $20,000 with a 5% interest rate.
    5·1 answer
  • Cubes are three-dimensional square shapes that have equal sides. What is the density of a cube that has a mass of 12.6 g and a m
    7·2 answers
  • Jack wanted to leave a 15% tip on a $36.00 bill. How much would he leave for a tip
    15·2 answers
  • SOMEONE HELP ME PLEASE
    10·2 answers
  • What is the domain and range ?
    12·2 answers
  • Give the prime algebraic factorization: 15a2b = _____
    12·1 answer
  • Please answer, thank you
    14·2 answers
  • 6. Is it possible to use the distributive
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!