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
Brums [2.3K]
3 years ago
10

Gavin and Caleb go to the movie theater and purchase refreshments for their friends. Gavin spends a total of $22.25 on 2 bags of

popcorn and 3 drinks. Caleb spends a total of $39.00 on 12 bags of popcorn and 4 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Mathematics
2 answers:
gavmur [86]3 years ago
8 0

Answer:

Drinks = 6.75

Popcorn= 1

Step-by-step explanation:

Let the popcorn = P

Let the drink = D

2*P + 3*D = 22.25         multiply this equation by 6

12*P + 4D = 39.00

<u>12P + 18D = 133.5</u>          Subtract these two equations

- 14D = - 94.50               Divide by -14

-14D/-14 = -94.5/-14        Do the division

D = 6.75

=========================

12P  +  4D = 39            Substitute for D

12P + 4*6.75 = 39        Combine

12P + 27 = 39               Subtract 27 from both sides

12P + 27-27=39-27      Collect like terms

12P = 12                        Divide by 12

12P/12 = 12/12

P = 1                               Answer

gizmo_the_mogwai [7]3 years ago
5 0

Answer:

Step-by-step explanation:

You might be interested in
The smallest unit of size in the list below is the
Neko [114]
D.) Nanometer is the smallest among your options.

It is equal to 10^-9

Hope this helps!
5 0
3 years ago
Read 2 more answers
Pedro is doing math exercises from a software program he recently purchased. In the program, you have to get at least 70% of the
Nookie1986 [14]
The inequality would be
0.75q ≥ 0.70(q+1)

q is defined as the number of questions he answers after the first one.  We are told he gets 75% of those correct; 75%=75/100=0.75.  This gives us 0.75q.

Since he gains proficiency on the exercises, the total number he gets correct has to be at least 70%.  This means the inequality would have the symbol greater than or equal to, as it cannot be less and have him gain proficiency.

He has already answered 1 question and answers q more; this gives us a total of q+1.  Since he gains proficiency, the cutoff was 70%; 70%=70/100=0.70.  This gives us the expression 0.70(q+1).

Our total inequality would then be 0.75q ≥ 0.70(q+1)
3 0
3 years ago
Read 2 more answers
The Yasuda family bought a toy that cost t dollars and a game that cost g dollars. Both were on sale. Which of these methods cou
zmey [24]

The equation that the clerk can use to calculate their total bill is t + g.

<h3>How to illustrate the equation?</h3>

From the information given, Yasuda family bought a toy that cost t dollars and a game that cost g dollars.

The equation to calculate their total bills will be:

= t + g

where,

t = cost of toy

g = cost of game.

In this case, the equation that the clerk can use to calculate their total bill is t + g .

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

7 0
2 years ago
Rachel earned \$34$34dollar sign, 34 in 444 hours at her job today. She wants to know how much she could earn (e)(e)left parenth
Flura [38]

Answer:

She will earn $85 in 10 hours.

Step-by-step explanation:

If Rachel earned $34 for 4 hours of work, we must divide the amount earned by the number of hours worked in order to find out her hourly rate and then multiply it by 10 to determine how much she would earn if she worked 10 hours.

e = \frac{34}{4}*10\\e=85

She will earn $85 in 10 hours.

5 0
3 years ago
Read 2 more answers
PLEASE! Someone help me answer this and explain it
xenn [34]

Answer:

12.5

Step-by-step explanation:i did that problem before

3 0
3 years ago
Other questions:
  • What is the x to y ratio 14x=25y fractions as answers
    15·1 answer
  • Which graph represents the function of f(x)= (4x^2-4x-8)/(2x+2)
    6·2 answers
  • PICTURE ABOVE !!! <br> find the length of XZ <br> PLEASE HELP !!
    6·1 answer
  • How many hundreths are on 32.412?​
    15·2 answers
  • Geometry the height is always the straight or diagonal line
    14·2 answers
  • In a laboratory, they were testing a certain bacteria. They stated with 50 bacteria and they noticed it triples every 30 minutes
    12·1 answer
  • What is the area of the parallelogram?
    11·2 answers
  • ⅒ (to decimal)<br><br>A. 0.1<br>B. 0.53<br>C. 0.10​
    14·1 answer
  • Henry went to the store with $25.00 and returned home with 3 gallons of ice
    12·1 answer
  • The nth term of a sequence is 60-8n. Find the largest number in this sequence.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!