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
Vikki [24]
3 years ago
9

Makayla and Caroline go to the movie theater and purchase refreshments for their friends. Makayla spends a total of $49.00 on 9

bags of popcorn and 8 drinks. Caroline spends a total of $17.25 on 3 bags of popcorn and 3 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
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0

Answer:

Let the cost of each popcorn bag be x and cost of each  drink be y

Cost of 9 bags of Popcorn= 9 x

Cost of 8 drinks be = 8 y

Total money spent by Makayla = $ 49

According to Question

9 x + 8 y= 49..................... equation (1)

Similarly , cost of 3 popcorn = 3 x

Cost of 3 drinks= 3 y

Total money spent by Caroline= $ 17.25

According to Question

3 x+ 3 y= $ 17.25...................equation(2)

We can solve above equation by using elimination method

Multiply equation (2) by 3

9 x + 9 y =  51.75..................equation(3)

9 x + 8 y= 49..................... equation (1)

Subtraction equation (1 ) from equation(3)

y = 2.75

put value of y  in any equation (2)

we get

3 x + 3 × 2.75 = 17.25

3 x +   8.25 = 17.25

3 x = 17.25 - 8.25

3 x = 9

x = 3

Hence, cost of each popcorn bag $ 3 cost of each popcorn bag is also $ 3 (approx)

You might be interested in
The value of 4 in 40 is how many times the value of 4 in 400
NikAS [45]
The value of 4 in 40 is 10 times less than the value of 4 in 400
7 0
3 years ago
Read 2 more answers
A dance floor is shaped like a square with an area of 196 square feet. Find the length of one side of the dance floor.
GenaCL600 [577]
Since it's a square, the sides are all the same. This is going to be the equation.
S²=196
14×14=196
The length of one side is 14.
4 0
3 years ago
Al obtener el valor de lo que costará la fiesta de graduación para tu grupo te das cuenta que el lugar que decidieron alquilar p
dybincka [34]

Explicación paso a paso:

Debemos buscar el costo de cada boleto y la cantidad de personas que deben ir.

Dada la función que da forma al comportamiento expresado como;

f (x) = (-2x) ^ 2 + 80x + 300 donde;

x es el costo de cada boleto

f (x) es el número de personas que deben ir

Para obtener x, usaremos la expresión;

x = -b / 2a

De la ecuación cuadrática dada, a = -2, b = 80 yc = 300

Sustituir;

x = -80/2 (-2)

x = -80 / -4

x = 80/4

x = 20

Por lo tanto, el boleto cuesta $ 20.

Lo siguiente es obtener la cantidad de personas que deben ir. Para conseguirlo, sustituiremos x = 20 en la expresión modelada como se muestra;

f (x) = (-2x) ^ 2 + 80x + 300

f (20) = (-2 (20)) ^ 2 + 80 (20) +300

f (20) = (-40) ^ 2 + 1600 + 300

f (20) = 1600 + 1600 + 300

f (20) = 3500

Por lo tanto, 3500 personas tienen que ir

8 0
3 years ago
4) Find the slope of the following<br> graph.<br> у<br> -2<br> o<br> B
Strike441 [17]

Answer:

-6/13

Step-by-step explanation:

7 0
3 years ago
Given a possible triangle ABC with a=5, b=11, and A=23 degrees, find a possible value for angle b. Round to the nearest tenth.
Stels [109]
<span>b. Round to the nearest tenth.  please mark brainly</span>
6 0
3 years ago
Other questions:
  • Write an algebraic expression for the verbal expression 8 to the fourth power increased by 6
    8·1 answer
  • A number p minus 19 algebraic expression
    11·2 answers
  • Select all expressions that are equivalent to 6x+1−(3x−1). A. 6x+(-3x)+1+1 B. 3x+2 C. 6x−3x+1−1 D. 6x+1−3x−1 E. 6x+1+(-3x)−(-1)
    12·1 answer
  • What is the solution to the equation below? (Round your answer to two
    5·1 answer
  • Will mark brianliest if correct,
    6·1 answer
  • What is 1/3 of 17, also please show check your answer and prove to me it's right. Thanks :)
    15·1 answer
  • A ladder 50 dm long when set against the wall of a house just reaches a window at a height of 48 dm. How far is the lower end of
    9·1 answer
  • Find the value of X plsss help!!
    13·1 answer
  • The diameter of a circle is 9 feet. Find the radius
    15·2 answers
  • Sin500-sin700+sin100<br>​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!