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Veseljchak [2.6K]
3 years ago
14

1. Judy took $42 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each ba

g of popcorn was $6. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.

(b) Explain your graph.

Mathematics
1 answer:
KatRina [158]3 years ago
5 0

Answer:

The graph in the attached figure

Step-by-step explanation:

Sketch the graph that represents the situation and label the intercepts

Let

x ------> the number of bags of popcorn

y -----> the number of drinks.

we know that

The price for each bag of popcorn was $6

The price of each drink was half the price of a bag of popcorn

so

The price of each drink was (1/2)$6=$3

The total bags of popcorn multiplied by $6 plus the number of drinks multiplied by $3 must be equal $42

The equation that represent this situation is

6x+3y=42

using a graphing tool

see the attached figure

<em>Find the y-intercept</em>

The y-intercept is the value of y when the value of x is equal to zero

For x=0

6(0)+3y=42

y=14

The y-intercept is the point (0,14)

That means -----> The number of drinks that Judy can buy when the number of bags of popcorn is equal to zero

<em>Find the x-intercept</em>

The x-intercept is the value of x when the value of y is equal to zero

For y=0

6x+3(0)=42

x=7

The x-intercept is the point (7,0)

That means ----->The number of bags of popcorn that Judy can buy when the number of drinks is equal to zero

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Answer:

True.

Step-by-step explanation:

A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. Probability distribution is associated with the following characteristics or properties;

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2. The list of outcomes is exhaustive, which simply means that the sum of all probabilities of the outcomes must equal one (1).

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Since a probability distribution gives the likelihood of an outcome or event, a single random variable is divided into two main categories, namely;

I. Probability density functions for continuous variables.

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For example, when a coin is tossed, you can only have a head or tail (H or T).

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3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
fenix001 [56]

Answer:

2, 7, 114

Step-by-step explanation:

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3 years ago
Make x the subject of the formula y=x/a
anyanavicka [17]
X = ay


Hope this helps


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Write the decimal for the expanded form given below.<br><br> 60+7 + 0.3 + 0.05+0.003
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Answer: 67.353

Step-by-step explanation:

 60.000

+07.000

+00.300           Writing the numbers like this helps me keep track of them!

+00.050        It lets me see what place each number is in relative to the others

+00.003

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The sum of 5 consecutive odd integers is 2,555. What is the sum of the first, third, and last integer?
Lilit [14]

Answer:

The sum of the first, third, and last integer is 1533.

Step-by-step explanation:

<u><em>Step 1: You need to create a equation first:</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

<u><em>How did I make the equation?</em></u>

If n is odd number, n + 2 must be the consecutive odd number

5 , 5 + 2 , 5 + 4 , 5 + 6 , 5 + 8

5, 7, 9, 11, 13  ALL CONSECUTIVE ODD NUMBERS

<u><em>Step 2: Simplifying the equation</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

5n + 20 = 2555

<u><em>Step 3: Solving the equation, with explanation</em></u>

5n + 20 = 2555       Subtract 20 on both sides

        5n = 2535        Isolate the variable by dividing 5 on both sides

          n = 507

<u><em></em></u>

<u><em>Step 4: Plug in the value</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8

507,  507 + 2 , 507 + 4 , 507 + 6 , 507 + 8

507, 509, 511, 513, 515

<u><em>Step 5:  Solve the sum of the first, third, and last integer</em></u>

507 + 511 + 515 = 1533

<u><em>Step 6: THE ANSWER</em></u>

1533

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>
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