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
Digiron [165]
3 years ago
9

Leah and Ashley go to the movie theater and purchase refreshments for their friends

Mathematics
1 answer:
klasskru [66]3 years ago
6 0

Answer:

The required system of equations is:

5 m+   7  n = 113.75  

6 m +   14  n  =  185.50

The price of 1 bag of popcorn  = $10.5

The price of 1 drink   = $8.75

Step-by-step explanation:

Let us assume the cost of 1 bag of popcorn = $ m

And, the cost of 1 drink = $ n

Now, Leah spends a total of 113.75 on 5 bags of popcorn and 7 drinks.

Cost of 5 bags + 7 drinks = 5 m +   7  n  =  $ 113.75

⇒ 5 m+   7  n = 113.75   .. (1)

Also, Ashley spends a total of 185.50 on 6 bags of popcorn and 14 drinks

Cost of 6 bags + 14 drinks = 6 m +   14  n  =  $185.50

⇒  6 m +   14  n  =  185.50   .. (2)

So, here the system of equations that can be used to find the price of one bag of popcorn (m) and the price of one drink (n) are

5 m+   7  n = 113.75   .. (1)

6 m +   14  n  =  185.50   .. (2)

Now, to solve this, Multiply (1) with -2 and add with 2, we get:

-10m + 6m - 14 n + 14 n = 185.5 - 227.5

or, - 4  m = -42 , or m = 42/4 = 10.5

Putting the value of m = 10.5 in 5 m+   7  n = 113.75 , we get n = 8.75

Hence,  the price of 1 bag of popcorn  = m = $10.5

And the price of 1 drink  = n = $8.75

You might be interested in
Which equation represents a function that is nonlinear?
vekshin1

Answer:

y = x^2 - 25

Step-by-step explanation:

curvy so nonlinear

3 0
3 years ago
USA test prep please answer
sergij07 [2.7K]

Answer:

D

Step-by-step explanation:

8 0
2 years ago
Triangle similarity and congruence! * Pic included
chubhunter [2.5K]
Hi hi hi hi hi hi hi
7 0
3 years ago
Solve the system by substitution.
Brut [27]

Answer:

((1)/(2),-(1)/(2))

Step-by-step explanation:

3 0
2 years ago
Factor the expression completely.
densk [106]

Answer:

\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}

Step-by-step explanation:

      A = 18x^{2}  - 32\\

Find the sharing components:

<=> A=2*9*x^{2} - 2*16

Apply the inverse of associative property:

<=> A = 2(9x^{2} - 16)

Identify two square components inside the parenthesis:

<=> A = 2((3x)^{2} - 4^{2} )

Factorize:

<=> A = 2(3x + 4)(3x - 4)

=> Option D is correct

Hope this helps!

:)

3 0
3 years ago
Other questions:
  • Please help im bad at math
    7·1 answer
  • Floor tiles are 12 inches by 12 how many tiles are needed to tile a floor that is 36 by 15 feet
    9·1 answer
  • To copy an angle using only a compass and a straightedge, begin by marking the vertex of the new angle. Then draw a ray from the
    5·2 answers
  • 772 is the value of the 7 in the tens place 10 times greater than the value of the 7 in the hundreds place? explain why or why n
    5·2 answers
  • A reasonable estimate for a mass of a baby is
    5·1 answer
  • A plus 5 is the side of an equilateral triangle. find it's perimeter
    13·2 answers
  • What is the area of the triangle?
    14·1 answer
  • A comer store sells two kinds of baked goods: cakes and pies. A cake costs $8 and a pie costs $11. In one
    15·2 answers
  • EXCEEDS
    15·1 answer
  • When solving the given equation, what is the first step?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!