create a system of equations to represent this situation. be sure to explain the meaning of each variable. graph the system of equations. determine the break even point for Chuck E Cheese and Bright Child, Adventure Plex and Bright Child, Adventure Plex and Chuck E Cheese.
Answers
For them, let x = number of children of the party and
A=Adventure Plext cost
B= Bright Child cost
C= Chuck E Cheese cost
So,
\(\begin{gathered} A=300+12x \\ B=180+15x \\ C=18x \end{gathered}\)Then, graphing each equation of the system of equations
Now, for determine the break even point for Chuck E Cheese and Bright Child you have
\(\begin{gathered} 180+15x=18x \\ 180=18x-15x \\ 180=3x \\ \frac{180}{3}=x \\ 60=x \end{gathered}\)That is, the break even point for Chuck E Cheese and Bright Child occurs when x = 60 children.
For determine the break even point for Adventure Plex and Bright Child you have
\(\begin{gathered} 300+12x=180+15x \\ 300+12x-180=180+15x-180 \\ 120+12x=15x \\ 120+12x-12x=15x-12x \\ 120=3x \\ \frac{120}{3}=\frac{3x}{3} \\ 40=x \end{gathered}\)That is, the break even point for Adventure Plex and Bright Child occurs when x = 40 children.
Finally, For determine the break even point for Adventure Plex y Chuck E Cheese you have
\(\begin{gathered} 300+12x=18x \\ 300+12x-12x=18x-12x \\ 300=6x \\ \frac{300}{6}=\frac{6x}{6} \\ 50=x \end{gathered}\)That is, the break even point for Adventure Plex and Chuck E Cheese occurs when x = 50 children.
Related Questions
A radio station require DJ's to play 2 commercials for every 10 songs they play. What is the unit rate of songs to commercials?
Answers
Answer:
the unit rate is 12 or 67
Complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and a compounded n times a year. Complete the table
Answers
The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.
To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.
The formula for calculating compound interest is as follows:
A = P(1 + r/n) ^nt,
where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.
The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &
\text{A = P(1 + r/n) }^{nt} &
\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &
\text{3100(1 + 0.04/1)}^{1*10} &
\text{\$4788.03} \\ \hline \text{2} &
\text{3100(1 + 0.04/2)}^{2*10} &
\text{\$4798.76} \\ \hline \text{4} &
\text{3100(1 + 0.04/4)}^{4*10} &
\text{\$4817.46} \\ \hline \text{12} &
\text{3100(1 + 0.04/12)}^{12*10} &
\text{\$4861.94} \\ \hline \end{array}\)
The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.
In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.
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i need help on these
and no im not in college lol
Answers
Answer:
4) d. 30%. 5) 55/21. 6) 16
Step-by-step explanation:
4) 6/20 × 100 = 30%
5) Change mixed numbers to fraction. So you're getting 58/7 - 17/3. LCM = 21
= 174 - 119 / 21
= 55 / 21
6) Change to fraction
8/3 ÷ 1/6
= 8/3 × 6/1
= 16
Please Help! A picture is 60cm wide and 1.8 meter long.The ratio of its width to its perimeter in the lowest term is?
Answers
Answer:
60:61.8 OR 10:10.3
Step-by-step explanation:
Cant be simplified - unless your in advanced classes. If so
10:10.3
Answer:
Step-by-step explanation:
1/3 or 0.3 or 33.333333% or 3^-1 or 3.333333 x 10^-1
Vocabulary How is a ratio table used to graph equivalent ratios?
Answers
Answer:
Step-by-step explanation:
two ways of representing a relationship between quantities.
Let R unrestricted and R restricted be 0.4366 and 0.4149 respectively. The difference between the 9) unrestricted and the restricted model is that you have imposed two restrictions. There are 420 observations. The F-statistic in this case is:_______ A) 10.34 B) 4.61 C) 7.71 D) 8.01
Answers
Complete Question
Let R unrestricted and R restricted be 0.4366 and 0.4149 respectively. The difference between the 9) unrestricted and the restricted model is that you have imposed two restrictions. There are 420 observations. The F-statistic in this case is:_______
A) 10.34
B) 4.61
C) 7.71
D) 8.01
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The \(R^2_{unrestricted } = 0.4366\)
The \(R^2_{restricted } = 0.4149\)
The number of observation is n= 420
Generally the number of independent variables is k(\(R^2_{unrestricted } , \ n \ \ and \ R^2_{restricted }\)) = 3
Then the number of restriction is (i.e \(R^2_{unrestricted } \ and \ R^2_{restricted }\)) is q = 2
Generally the F-statistics is mathematically represented as
\(F = \frac{\frac{R^2_{unrestricted } - R^2_{restricted}}{q} }{ \frac{(1- R^2_{unrestricted }) }{n-k-1} }\)
substituting values
\(F = \frac{\frac{0.4366 -0.4149}{2} }{ \frac{(1-0.4366) }{420-3-1} }\)
\(F = 8.01\)
Budget software can help you _____. transfer money from one account to another transfer money from one account to another identify places to reduce spending identify places to reduce spending alert you when it's time to pay a bill alert you when it's time to pay a bill create a savings plan to reach financial goals create a savings plan to reach financial goals create a plan to reduce your debt create a plan to reduce your debt
Answers
We can conclude that budget software can help you: identify places to reduce spending.
What is Budget Software?Budget software is a computer software or program that helps you to plan and allocate how you spend your money.
Budget software makes it easy for you to track what you've spent as money comes in and what you are owed.
Therefore, we can conclude that budget software can help you: identify places to reduce spending.
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NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! NOT A MULTIPLE CHOICE!!!
The point (-2, 5) is reflected over an axis and the new point is located in Quadrant 3.
a. Describe the reflection that happened. What axis was the point reflected over?
b. What are the coordinates of the new point?
Answers
9514 1404 393
Answer:
x-axis(-2, -5)Step-by-step explanation:
a) The original point is in quadrant 2. Reflection into quadrant 3 is a reflection over the x-axis.
__
b) Reflection over the x-axis changes the sign of the y-coordinate. The new point is (-2, -5).
For Field Day, the 72 students in fourth grade will be divided into tears with the same number of students on each team. The 60 students in third grade will be divided into teams that each have the same number of students as the fourth grade teams. What is the largest number of students that a team could have? Help meeee
Answers
We do this because the factors are the numbers determining the number of people and the number of teams, for example if they used the factors 6 and 10 for 60, they would make 6 teams of 10 people. And since factors are whole numbers, it makes sense for people and doesn’t cut ppl in half.
So the greatest factor that 72 and 60 gave have in common is 12, bc 5 x 12 is 60 and 6 x 12 is 72, and they don’t have other factors in common that are higher than 12.
This means that 12 is the answer, bc it’s the largest number of students that a team could have, in both the fourth and third grades.
Solve the question below:
Answers
Answer:
x = 15
Step-by-step explanation:
3x+1+4x-3 = 103
7x = 105
x = 15
what is reference angle for 7pi/4
Answers
The reference angle of 7pi/4 is pi/4
What is reference angle?The acute angle formed by the terminal arm or side and the x-axis is known as the reference angle.
There is always a positive reference angle. The reference angle is, in other words, the angle formed by the terminal side and the x-axis. It must always be positive and less than 90 degrees.
considering angle 7 pi/4, the angle is pi/4 away from 2 pi.
7 pi/4 + pi/4 = 8 pi/4 = 2 pi
We can therefore conclude that 7 pi/4 is an angle on the third quadrant and the reference angle is pi/4.
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I’m confused, how do I create a dot-plot with only one number in the tens?
Answers
The dot represents the data point of 5, and there are no other data points to include on the dot plot.
You can still make a dot plot even if you just have one number in the tens by placing a dot on a number line above the number. If your data point is 5, for instance, you can represent it by placing a dot above the tick mark for 5 on a number line that has tick marks for each integer from 0 to 9. Here is an illustration of how the dot plot might appear:
|
5 •
|
|
|
|
|
|
|
|
+ - - - - - - -
0 1 2 3 4 5 6 7
There are no additional data points to place on the dot plot because the dot in this illustration represents the data point of 5.
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each year america.edu ranks the best paying college degrees in america. the following data show the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the college degrees with the highest mid-career salary (america.edu website). click on the datafile logo to reference the data. degree starting salary mid-career salary % increase aerospace engineering 59,400 108,000 82 applied mathematics 56,400 101,000 79 biomedical engineering 54,800 101,000 84 chemical engineering 64,800 108,000 67 civil engineering 53,500 93,400 75 computer engineering 61,200 87,700 43 computer science 56,200 97,700 74 construction management 50,400 87,000 73 economics 48,800 97,800 100 electrical engineering 60,800 104,000 71 finance 47,500 91,500 93 government 41,500 88,300 113 information systems 49,300 87,100 77 management info. systems 50,900 90,300 77 mathematics 46,400 88,300 90 nuclear engineering 63,900 104,000 63 petroleum engineering 93,000 157,000 69 physics 50,700 99,600 96 software engineering 56,700 91,300 61 statistics 50,000 93,400 87
Answers
Construct the histogram for the percentage increase in the starting salary by using 10 as the class width.
Answer Output using MINITAB software is given below at the end of answer (bar graph)
Frequency:
The frequencies are calculated by using the tally mark and the range of the starting salary is grouped and the range is from 40 to 120. Here the number of times each percentage increase repeats is the frequency of that particular class.
The width of class is 10.
Make a tally mark for each value in the corresponding revenue class and continue for all values in the data.
The number of tally marks in each class represents the frequency, f of that class.
Similarly, the frequency of remaining classes for the percentage increase is given below at the end of the answer.
The data represents the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary.
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There are 15 students on the debate team. Of these, 3 are boys. Give the ratio of boys to girls on the debate team in simplest form.
Answers
Answer:
1:4
Step-by-step explanation:
15 - 3 = 12
3:12 = 1:4
Answer:
1:5
Step-by-step explanation:
hope this helps
. Solve for x.
10xy=W
Answers
Answer:
x=W/10y
Step-by-step explanation:
what is the area of the square if it’s 15 by 15
Answers
Answer:
225 is the answer
15 times 15
Step-by-step explanation:
Draw the polygon with the given vertices in a coordinate plane.
22).(-5,5),(-4,1) pls help
Answers
Plot the given coordinates of the polygon in the coordinate plane and connect it with a smooth curve.
What are polygons?A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides are constructed from segments of straight lines joined end to end.
What is a coordinate plane?A coordinate plane is a two-dimensional plane created by the intersection of two number lines. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two of these number lines.
Plot the points on the graph according to the given coordinates. Connect all the points. The polygon is triangle.
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the $700 you put into the bank is being continuously at 1.2%. how much will it be worth after 3 years?
Answers
Answer:
$983.45
Step-by-step explanation:
Given data
Principal= $700
Rate= 1.2%
Time= 3 years
The compound interest expression is given as
A= P(1+r)^t
A= 700(1+0.12)^3
A= 700(1.12)^3
A= 700*1.404928
A=$983.45
Hence the balance will be $983.45
Explain your answer to the question in the picture with steps please, thank you.
Answers
Part (a)
Answer: Constant of proportionality = 5/8
Reason:
The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.
The direct proportion line must pass through the origin. In other words, the y intercept must be zero.
=====================================
Part (b)
Answer: Not Proportional
Reason:
The y intercept isn't zero.
Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.
Factor by grouping cd-9d-4c+36
Answers
Answer:
(d-4)(c-9)
Step-by-step explanation:
cd-9d-4c+36
d(c-9)-4(c-9)
pull out the (c-9),
(d-4)(c-9)
which mixed number is equivalent to the improper fraction of 41/10
Answers
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
What is 2 plus 4 please help
Answers
Answer:
It is, 6
Step-by-step explanation:
Good luck! Have a good day!! <33
Act like you have 2 fingers up and then add 4 more.
7.RP.A.1 (NC)
8. Grant paddled a canoe, 3/4 mile in 1/2 hour. How fast did Grant paddle in miles per
hour?
Answers
Answer:
1.5 miles / hour
Step-by-step explanation:
The question is most easily done by converting to decimals
3/4 = 0.75 miles
1/2 = 0.5 hours
Formula
r = d/t
Solution
r = 0.75 miles / 0.5 hours
r = 1.5 miles per hour
find the third angle in a triangle when the other two angles are (2a-32)° and (3a+22)°
Answers
Answer:
(190-5a)°
Step-by-step explanation:
Sum of internal angles of a triangle equals to 180°
If the third angle is x, then we have:
(2a-32)°+(3a+22)° +x = 180°(5a- 10)° +x= 180°x= (180+10-5a)°x= (190-5a)°The third angle is: (190-5a)°
Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos were given: 10, 13, 15, 15, 17, 29 What is the average amount of likes each of her photos got? Hint: The average is your mean. 22 15 15.5 16.5
Answers
The average number of likes will be 16.5. the correct option is D.
What is a mean?Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.
Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.
The average will be calculated as:-
Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6
Mean = 99 / 6
Mean = 16.5
Therefore, the average number of likes will be 16.5. the correct option is D.
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Whirly Corporation’s contribution format income statement for the most recent month is shown below:
Total Per Unit
Sales (8,700 units) $ 287,100 $ 33.00
Variable expenses 165,300 19.00
Contribution margin 121,800 $ 14.00
Fixed expenses 55,600
Net operating income $ 66,200
Required:
(Consider each case independently):
1. What would be the revised net operating income per month if the sales volume increases by 40 units?
2. What would be the revised net operating income per month if the sales volume decreases by 40 units?
3. What would be the revised net operating income per month if the sales volume is 7,700 units?
Last month when Holiday Creations, Incorporated, sold 37,000 units, total sales were $148,000, total variable expenses were $115,440, and fixed expenses were $35,800.
Required:
1. What is the company’s contribution margin (CM) ratio?
2. What is the estimated change in the company’s net operating income if it can increase sales volume by 500 units and total sales by $2,000? (Do not round intermediate calculations.)
Answers
1. Revised Net Operating Income = $66,760
2. Revised Net Operating Income =$64,640
3. Revised Net Operating Income =$52,
1. If the sales volume increases by 40 units:
So, New Sales = 8,700 units + 40 units = 8,740 units
and, New Contribution Margin =
= $14.00 x 8,740 units
= 122, 360
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 122360 - 55600
= 66,760.
2. If the sales volume decreases by 40 units:
New Sales = 8,700 units - 40 units = 8,660 units
New Contribution Margin
= 14 x 8660
= 121,240
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 65,640
3. If the sales volume is 7,700 units:
New Sales = 7,700 units
New Contribution Margin
= 14 x 7700
= 107,800
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 52, 200
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If a 12 ounce glass of ale contains 124 calories, how many calories are in 10 ounces?
Answers
103.333333333
Explanation
Since 12oz of ale contains 124 calories, you have to divide 124 by 12 to find how many calories are in 1 oz of ale. then you multiply 10.33 by 10 to find how many calories are in a 10oz glass of ale.
Answer:
103.3(33333333333333333)
Step-by-step explanation:
124÷12=10.33(repeating,but just round to nearest hundredth)
10.33 x 10 = 103.3(33333333333333333)
What is the domain of the square root function graphed below?
Answers
If triangles ABC and DEF are similar, what is y? Show your work.
Answers
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
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Find an equation of the line parallel to the graph of y = -3x - 11 that passes through the point of (2,4). Write your equation in slope-intercept form.
Answers
Find an equation of the line parallel to the graph of y = -3x - 11 that passes through the point of (2,4). Write your equation in slope-intercept form.
__________________________________________________________
Line parallel to the graph of y = -3x - 11
1. The slope-intercept form.
y = mx + b
m= slope
y-intercept is (0, b)
The lines parallel has the same slope (m) = -3
_______________________________________
Using the point-slope form
(y-y1)= m (x-x1)
2. Replacing the point and the slope
(2,4) x1= 2; y1 = 4
(y- 4)= -3 (x- 2)
3. Write your equation in slope-intercept form.
y = -3x +6 +4
y = -3x + 10
___________________
Answer
y = -3x + 10