A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag. If the theater wanted to offer a 60-ounce bag of popcorn, what would be a good price? Explain your reasoning
Answers
Answer:
For a volume of 60 ounces, the appropriate price is $16
Step-by-step explanation:
Firstly, we need to determine the relationship between volume of popcorn and the price of bag.
Let us try and see if there is a linear relationship
A linear model is of the form ;
y = mx + b
where m is the slope and b is the y intercept
While the price represents the y axis values, the volume represents the x axis values
For the slope;
m = (y2-y1)/(x2-x1)
m = (13.6-11)/(48-35) = 2.6/13 = 0.2
So we have the slope value as 0.2
the equation is;
y = 0.2x + b
to get b, substitute any value of (x,y)
6 = 0.2(10) + b
6 = 2 + b
b = 6-2 = 4
If we had substituted (20,8)
8 = 0.2(20) + b
8 = 4 + b
b = 4
if (48,13.6)
13.6 = 48(0.2) + b
13.6 = 9.6 + b
b = 13.6-9.6
b = 4
Hence we have established linear relationship between the volume in ounces and the price in $
So we have this as
Price = 0.2(volume) + 4
So for volume of 60 ounces;
Price = 0.2(60) + 4
price = 12 + 4
price = $16
The reason why this is appropriate is because it follows the rule of the established linear relationship
Answer:
$16
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answers
Answer:
Step-by-step explanation:
-3 / 1 8 9 -18
-3 -15 18
_______________
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Since h=17 we use that
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Mary wanted to solve the system of equations shown. She first used row reduction to get the system into 2 equations with 2 variables, x and y. She then used her calculator and got the graph shown. What is the solution to her system?
Answers
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Step-by-step explanation:
The graph shows you that x=2 and y=-1 so, plug those values back into one of the equations to solve for z. You should get z=3 giving you a solution of (2, -1, 3).
Calculate
√6x√20 divided by
√3
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possible.
Answers
Answer:
(√6x√20) / √3 = 2√10
Step-by-step explanation:
hello :
(√6x√20) / √3 =√2x√3 x√4x√5 / √3
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Answers
Answer:
Common ratio : 2
nth term : 4 × 2^(n-1)
Step-by-step explanation:
Good luck *_*
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Answer:
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Step-by-step explanation:
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Answers
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$18.16
Step-by-step explanation:
14.30×7%=1
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Answers
Answer:
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Step-by-step explanation:
Out of the 18 kids, three of them did, so 3/18, which can be simplified to 16.6666%, so 17% if you round it to the nearest degree.
Answer:
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Select the functions that have a value of 0.
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answers
Answer:
18 is equivalent to 3/24 because 1 x 24 = 8 x 3 = 24. 216 is equivalent to 3/24 because 2 x 24 = 16 x 3 = 48.
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Step-by-step explanation:
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Answers
Answer:
a = 8
Step-by-step explanation:
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B 230
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When 1,250 Superscript three-fourths is written in its simplest radical form, which value remains under the radical?
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6
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Answers
Answer:
D is the answer
Step-by-step explanation:
Answer:
D
Explanation:
100%
Please help me out on this no link, no bots, no stealing points, don’t answer if you don’t know
Answers
Answer:
x = 15
Step-by-step explanation:
[tex]x^{2} + 20^{2} =25^{2}[/tex]
[tex]x^{2} +400=625[/tex]
[tex]x^{2} =225\\[/tex]
[tex]\sqrt{x[/tex]
=x
[tex]\sqrt{225}[/tex]
= 15
[tex]x=15[/tex]
A ring-shaped region is shown below. Its inner radius is 19 m, and its outer radius is 24 m. Find the area of the shaded region. Use 3.14 for . Do not round your answer.
Answers
Answer:
675.1 sq m
Step-by-step explanation:
Area of larger circle = 3.14(24^2) = 3.14(576) = 1808.64
area of smaller circle = 3.14(19^2) = 3.14(361) = 1133.54
area of ring = Area of larger circle - area of smaller circle
= 1808.64 - 1133.54 = 675.1
4. Owen and his family are discussing how to pay for his college education. The cost of tuition at the college that Owen wants to attend is $12,000 per year. Owen's parents will pay 60% of the tuition cost every year and he will pay the rest. Owen has one year to save for enough money to attend his first year of college. What is the minimum amount of money he should save every month in order to reach his goal? A. $600 B. $400 D. $500 C. $300
Answers
Answer:
400
Step-by-step explanation:
12000 X 60%=7200-parents
12000-7200=4800-owen
4800/12=400 is what owen will save monthly
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Answer:
16
Step-by-step explanation:
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Answer:
7.10
Step-by-step explanation:
If c= 205 A=81 and b=50. B=
Answers
Answer:
50
Step-by-step explanation:
Did you write it correct? It says b = 50 and ur question is b= ?
The figure below is made of 13 identical squares. The area of the figure is 52 cm2. What is the perimeter of the figure?
Answers
Answer:
28.84
Step-by-step explanation:
the figure is just a square made up of squares so to find the side of a square you use the \sqrt{52} to find one side then multiply times 4 for each side
M&M plain candies have a normally distributed weight with a mean of 0.8565 g and a standard
deviation of 0.0518 g. If 465 M&M plain candies are randomly selected, find the probability that
their mean weight is at least 0.8535 g each.
Answers
Answer:
0.89417
Step-by-step explanation:
Using the relation to obtain the Zscore :
Z = (x - mean) ÷ standard deviation / sqrt(n)
x = 0.8535
Mean = 0.8565
Standard deviation = 0.0518
Sample size, n = 465
P(x ≤ 0.8535) = (0.8535 - 0.8565) ÷ 0.0518/sqrt(465)
P(x ≥ 0.8535) = - 0.003 / 0.0024021
P(x ≥ 0.8535) = - 1.249
P(Z ≥ - 1.249) = 0.89417
