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
gregori [183]
2 years ago
5

At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium dri

nks and 2 large popcorns for a total of $23.90. What is the cost of a medium drink and a large popcorn?

Mathematics
1 answer:
yawa3891 [41]2 years ago
3 0

Answer:

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

Step-by-step explanation:

Let D = cost of one medium drink

Let P = cost of one large popcorn

If a couple bought 2 medium drinks and a large popcorn for $13.85:

⇒ 2D + P = 13.85

If a family bought 3 medium drinks and 2 large popcorn for a total of $23.90:

⇒ 3D + 2P = 23.90

Rewrite 2D + P = 13.85 to make P the subject:

⇒ P = 13.85 - 2D

Substitute into 3D + 2P = 23.90 and solve for D:

⇒ 3D + 2(13.85 - 2D) = 23.90

⇒ 3D + 27.7 - 4D = 23.90

⇒ D = 3.8

Substitute found value of D into P = 13.85 - 2D to find P:

⇒ P = 13.85 - (2 x 3.8) = 6.25

Therefore,

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

You might be interested in
Solve the following equation for H. Be sure to take into account whether a letter is
MrMuchimi

Answer:

H=n-8

Step-by-step explanation:

8+H=n

\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}

8+H-8=n-8

Simplify

H=n-8

7 0
3 years ago
URGENT, please!!
lakkis [162]

The equation of the parabola is:

y = 24x^2

---------------------------

The <em>equation </em>of a parabola of vertex (h,k) and focus (0,f) is given by:

y = 4p(x - h)^2 + k^2

  • Vertex at the origin means that h = 0, k = 0.
  • Focus (0,6) means that p = 6

Thus, the equation of the parabola is:

y = 4p(x - h)^2 + k^2

y = 4(6)(x - 0)^2 + 0^2

y = 24x^2

A similar problem is given at brainly.com/question/15165354

7 0
3 years ago
Which step can you use to solve the equation m+9=-2? <br> please help !!
nexus9112 [7]

Answer:

Subtract 9 from each side of the equation.

m = – 11

Step-by-step explanation:

m + 9 = – 2

To solve the above equation, we simply subtract 9 from each side of the equation.

This is illustrated below:

m + 9 = – 2

Subtract 9 from each side of the equation

m + 9 – 9 = – 2 – 9

m + 0 = – 11

m = – 11

Therefore, the value of m is – 11

6 0
3 years ago
Show that 3/5 id bigger than 5/9
SashulF [63]

Step-by-step explanation:

the common denominator for these two is 45, as you have to times 5 by 9 to get this you will have to times 3 by 9 aswell so that fraction would be 27/45.

as you have to times 9 by 5 to get 45 you will have to times 5 by 5 which is 25 so that fraction would be 25/45

3/5=27/45 5/9=25/45

27 is bigger than 25

3 0
3 years ago
Twice a number plus 6 times the number is 72
ExtremeBDS [4]

Answer:

9

Step-by-step explanation:

Let the no be x

By the conditions given ,

2x + 6x = 72

8x = 72

x = 72/8

x = 9

therefore the no is 9

6 0
2 years ago
Read 2 more answers
Other questions:
  • Convert 19(pi)/4 to degrees
    8·1 answer
  • 5y+x2÷2 when x=4 and y= -3. when x=4 and y=-3, 5y + x2 ÷2= ​
    10·1 answer
  • Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long. Maria has 3 4 foot of trim left. Wh
    9·1 answer
  • How do you answer (-3)² ?
    9·2 answers
  • What will be the cost for carpeting a room of length 9ft and breadth 6ft ar the rate rs125 per suqare ft ? find it
    15·1 answer
  • The sum of j and 477 is 55
    15·1 answer
  • Zoologists estimate that a randomly selected baby giraffe has a 32% chance of surviving to adulthood. Assume this estimate is co
    7·1 answer
  • If the area of a right angle triangle with base 3cm is 66cm, find its height.​
    6·1 answer
  • Find an expression for the nth term -3 , 2 , 7, 12​
    7·1 answer
  • Pls help me<br> also pls put the right answer
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!