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
gtnhenbr [62]
3 years ago
9

Jocelyn and Madelyn go to the movie theater and purchase refreshments for their friends.

Mathematics
1 answer:
Alik [6]3 years ago
7 0

let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:

2p + 3d = 18.25

4p + 2d = 27.50

From this, we can use substitution or elimination to solve:

For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.

For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.

I'll be using elimination in this case:

-2(2p + 3d = 18.25) --> -4p - 6d = -36.50

-4p - 6d = -36.50

4p  + 2d = 27.50

-4d = -9.00

d = 2.25

4p + 2 * 2.25 = 27.50

4p + 4.50 = 27.50

4p = 23.00

p = 5.75

Now let's check our answer:

2 * 5.75 + 3 * 2.25 = 18.25

11.50 + 6.75 = 18.25

18.25 = 18.25

So drinks cost $2.25 and popcorn $5.75

You might be interested in
Solve for m:<br> -5(m - 3) + 6 = 2(m - 5)
tensa zangetsu [6.8K]

Answer:

<h2>m =  \frac{31}{7}</h2>

Step-by-step explanation:

-5(m - 3) + 6 = 2(m - 5)

<u>Expand the terms in the bracket</u>

That's

- 5m + 15 + 6 = 2m - 10

- 5m + 21 = 2m - 10

<u>Subtract 2m from both sides</u>

- 5m - 2m + 21 = 2m - 2m - 10

- 7m + 21 = - 10

<u>Subtract 21 from both sides</u>

That's

- 7m + 21 - 21 = - 10 - 31

- 7m = - 31

<u>Divide both sides by - 7</u>

We have the final answer as

<h3>m =  \frac{31}{7}</h3>

Hope this helps you

4 0
3 years ago
40 points!!! please tell me how to do it not what the answer is :D
Julli [10]

Answer:

C

Step-by-step explanation:

You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!

5 0
2 years ago
Read 2 more answers
Find the value of the variable. Round decimal answers to the nearest tenth. x =
Andrews [41]

Answer:

15

Step-by-step explanation:

The hypotenuse of a triangle is a² + b² = c².

12² + 9² = c²

144 + 81 = 225

√225 = 15

3 0
3 years ago
The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a
patriot [66]

Answer:

Step-by-step explanation:

Hello!

Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"

X~Bi (n;ρ)

ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95

n= 390

x= 303

sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78

Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.

You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:

^ρ±Z_{1-\alpha /2}* √[(^ρ(1-^ρ))/n]

Z_{1-\alpha /2} = Z_{0.995} = 2.58

0.78±2.58* √[(0.78(1-0.78))/390]

0.0541

[0.726;0.834]

With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.

I hope it helps!

7 0
3 years ago
Jose constructed Triangle DCE, where m
lord [1]

Answer:

is there a picture or can you at least finish the sentence

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Classify each of the triangles as acute, obtuse, or right.
    7·2 answers
  • Gina hiked down a canyon and stopped each time she descended ½ mile to rest. She hiked a total of 4 sections. What is her overal
    5·1 answer
  • Sammie pays $30 for a bag that she buys at a discount of 50%. What is the price of the bag without the discount?
    7·1 answer
  • How many pounds are in 1 ounce?
    11·1 answer
  • YALL PLSS HELPPP BESTIESSS
    10·1 answer
  • Which of the following ordered pairs does not lie on the graph of y=log_(2)^x? (1/2, -1) (0, 1) (1, 0)
    9·2 answers
  • Ill be on my way to success once Katie stops deleting my questions
    6·2 answers
  • 9:12=15:______ <br><br> I need the answer pls!
    7·1 answer
  • I’ll give u the crown
    6·2 answers
  • G(x) = 4x-2;<br> Solve if g(x)= 14
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!