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
Determine the quadrant(s) in which (x,y) is located so that the condition(s) is (are) satisfied.
polet [3.4K]

Quadrant 2 is the only one that can satisfy the condition. In there, x<0 and y>0

7 0
3 years ago
in an election between two candidates one got 55% of the total valid votes 20% votes were invalid if the total number of votes w
timurjin [86]

Answer:

25%- 1875 Votes

<em>7500 x 0.55 = 4125  (</em><em>first candite valid votes</em><em>)</em>

<em>7500 x 0.20 = 1500 (</em><em>invalid</em><em>)</em>

<em>first candite valid votes</em><em> </em><em>(</em><em>55</em><em>) + invalid votes (</em><em>20</em><em>) = 75% of total votes </em>

<em>first candite valid votes</em><em> </em><em>(</em><em>4125</em><em>) + invalid votes (</em><em>1500 </em><em>) = 5625 of total votes </em>

<em />

<em>100 (</em><em>total</em><em> </em><em>percent of votes</em><em>) - 75 (</em><em>total percent of votes</em><em>) = 25% Votes Left</em>

<em>7500 (</em><em>total</em><em> </em><em>number of votes</em><em>) - 5625 (</em><em>total number of votes</em><em>) = 1875 Votes Left</em>

<em>7500 x 0.25 = 1875 (</em><em>valid votes for the other candite</em><em>)</em>

<em>          </em>

4 0
3 years ago
a 76 inch pipe is cut into two pieces One piece is three times the length of the other find the lengh of the shorter piece?
SOVA2 [1]

Answer:

/

Step-by-step explanation:

5 0
3 years ago
Can u guys help me with all of those ?'s plz I don't get it
hram777 [196]
I can't see the math problems.
4 0
3 years ago
What is the fifth term of the geometric sequence? 5, 15 , 45, ...
Virty [35]

The geometry sequence has the equation a(n)=5(3^{n-1}).

The 5 represents the first number of the sequence and the 3 represents the common ratio.

a(5) = 5(3^{5-1})=5(3^{4})=5(81)=405

answer: 405

6 0
3 years ago
Other questions:
  • 32 oz= T? What is the answer
    8·1 answer
  • Describe what the graph of h (x)= x-6x-8x-3 looks like at the zero of x=-1
    11·1 answer
  • An expert sharpshooter misses a target 5 percent of the time. find the probability that she will miss the target for the second
    8·1 answer
  • The company sells the toys for $12 each. Write an expression for the amount of
    13·1 answer
  • What is 10 time 10 ?
    15·2 answers
  • Which graph represents y=⌈x⌉ over the domain 2≤x≤5?
    6·2 answers
  • You can buy 3 apples at the quick market for $1.26. You can buy 5 of the same apples at Stop and Save for $2.35. which place is
    5·2 answers
  • A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the
    15·1 answer
  • Maya roll of wrapping paper the area of the paper on the role is 850 in.² My aunt needs to wrap a gift box that is 12 inches lon
    13·1 answer
  •  Can someone pleaseeee help if you’re correct I’ll give u brainlist
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!