Ask question

Ask question

All categories

3 years ago

11

Bella and Piper go to the movie theater and purchase refreshments for their friends. Bella spends a total of $53.75 on 4 drinks

and 3 bags of popcorn. Piper spends a total of $61.25 on 2 drinks and 7 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.

1 answer:

shutvik [7]3 years ago

4 0

Answer:

cost of a drink = $9.25

cost of a popcorn = $6.25

Step-by-step explanation:

Bella spends a total of $53.75 on 4 drinks and 3 bags of popcorn

Piper spends a total of $61.25 on 2 drinks and 7 bags of popcorn

Let d represent drinks and p represent popcorn

4d + 3p = $53.75

2d + 7p = $61.25 multiply second equation by -2

-2 × (2d + 7p) = $61.25 ➡-4d - 14p = -$122.50

Now add two equation

-4d - 14p + 4d + 3p = -$122.50 + $53.75 add the like terms (remember -4d will eliminate 4d)

-11p = −$69.25 ➡ 11p = $69.25 divide both sides by 11

p = $6.25 is the price for a bag of popcorn we can use this information to find the price for a drink

4d + 3p = $53.75 replace p with $6.25

4d + 3×6.25 = $53.75

4d + 18.75 = $53.75

4d = $37

d = $9.25

You might be interested in

rudie earn 942 each month. last month gis fixed expense month were 625 and his variable expenses were 259. how much did he save

mel-nik [20]

Answer:

He saved 58 last month.

Step-by-step explanation:

All expenses: 625 + 259 = 884

Total earned: 942 - 884 = 58

7 0

3 years ago

Factor<br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B18%20x%5E%7B-2%7Dy%20%5E%7B2%7D%20%7D%7B2%20x%5E%7B2%7D%20y%7D%20" id=

GuDViN [60]

When you write terms in denominator on numerator, sign of indices changes.
$\frac{18x^{-2}y^{2}}{2x^{2} y} = \frac{(18x^{-2}y^{2})*(x^{-2}y^{-1})}{2} 
 = 9(x^{-4} y^{1})$

6 0

4 years ago

Pls, answer for 20 points asap. I really need this

Simora [160]

Its B then A

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Y varies inversely with x. If y = -8 when x = -7, find the y when x=-4.

lora16 [44]

Answer:

y =-14

Step-by-step explanation:

Inverse variation is of the form

xy = k where k is a constant

(-7)(-8) = k

56 = k

The equation is

xy = 56

Let x = -4

(-4)y = 56

y = 56/-4

y =-14

8 0

3 years ago

What is the probability that he will hit fewer than 8 of the bottles?

torisob [31]

Using the binomial distribution, it is found that the probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, we have that:

The probability of a bottle being hit is of p = 0.95.

There are n = 10 bottles.

The probability that he hits fewer than 8 of the bottles is given by:

$P(X < 8) = 1 - P(X \geq 8)$

In which:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{10,8}.(0.95)^{8}.(0.05)^{2} = 0.0746$

$P(X = 9) = C_{10,9}.(0.95)^{9}.(0.05)^{1} = 0.3151$

$P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987$

Hence:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.0746 + 0.3151 + 0.5987 = 0.988$

$P(X < 8) = 1 - P(X \geq 8) = 0.012$

The probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.

More can be learned about binomial distribution at brainly.com/question/24863377

#SPJ1

7 0

2 years ago