The Social Justice Club is going to rent a mammoth barbeque to cook the hot dogs for the hot dog sale After contacting three rental companies in town, you have found out that each
one will deliver and pick up their barbeque. The cost of propane is included in the rental. The rental costs are indicated below.
Rental A: $15/h
Rental B. $5/h + 50
Rental C. $9/h + 20
1. Write an equation that models the rental cost, C, for each company
2 Graph all three models onto the same set of coordinate axis.
3. Which rental company should be chosen if you use the barbeque during lunch (11:05 - 12 30) and keep the barbeque to continue sales during the football game that will end about
4 30? Justify your answer
4. Which rental company should be chosen if your school lunch hours run from 11:05 - 12.30? Justify your answer
5 Which rental company should be chosen if your school returned the barbeque the following day? Justify your answer.
Answers
Answer:
(A)Cost of Rental A, C= 15x
Cost of Rental B, C=5x+50
Cost of Rental C, C=9x+20
(B)
i. Rental C ii. Rental A iii. Rental B
Step-by-step explanation:
Part 1
Let x be the number of hours of the barbeque use by the club.
Rental A: $15/h
Cost of Rental A, C= 15hx
Rental B: $5/h + 50
Cost of Rental B, C=5x+50
Rental C: $9/h + 20
Cost of Rental C, C=9x+20
Part 2
The graph of the three models is attached below
Part 3(11.05-4.30)
If the barbecue's usage hour is from 11.05 to 4.30 when the football match ends.
Number of Hours between 11.05am and 4.30pm=4 hours 25 Minutes = 4.42 Hours
Cost of Rental A, C= 15x=15(4.42)=$66.30
Cost of Rental B, C=5x+50 =5(4.42)+50=$72.10
Cost of Rental C, C=9x+20=9(4.42)+20=$59.78
Rental C should be chosen as it offers the lowest cost.
Part 4 (11.05-12.30)
Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours
Cost of Rental A, C= 15x=15(1.42)=$21.30 Cost of Rental B, C=5x+50 =5(4.42)+50=$57.10 Cost of Rental C, C=9x+20=9(4.42)+20=$32.78Rental A should be chosen since it offers the lowest cost.
Part 5
If the barbecue is returned the next day, say after 24 hours
Cost of Rental A, C= 15x=15(24)=$360 Cost of Rental B, C=5x+50 =5(24)+50=$170 Cost of Rental C, C=9x+20=9(24)+20=$236Rental B should be chosen as it offers the lowest cost.
Related Questions
17. An elevator in a mall has a capacity of 1350 kg, Suppose that on the average, a child weighs
about 25 kg while an adult weighs 60 kg. How many possible number of children and adults are
allowedto ride the elevator without exceeding its capacity?
a. (30 children, 15 adult)
c.(2 children, 25 adult)
b. (10 children, 15 adult)
d.(5 children, 24 adulky
Answers
Answer:
The correct answer is B
Step-by-step explanation:
#Carry On Learning
A second number is six more than half of the first number. The sum of the two numbers is 42.
What are the two numbers?
Answers
Step-by-step explanation:
42
=21+21
=42
OR
10+32
=42
Please help!!!!!!
y=[?]°
![Please help!!!!!!y=[?]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/JKte3myOEvNxysZvu1N1Q9EH69hKAdxh.png)
Answers
Answer:
Since there are already 2 angles shown, which are 48 and 90 (indicated by the square in the bigger triangle, we can set up an equation.
48 + 90 + y = 180
138 + y = 180
-138 + 138 + y = 180 - 138
y = 42°
cos(19pi/3)=?
Pls help me :(
Answers
Answer:
Step-by-step explanation:
Remove full rotations of \(2\pi\) until the angle is between 0 and \(2\pi\).
\(cos(\frac{\pi }{3} )\)
The exact value of \(cos(\frac{\pi }{3})\) is \(\frac{1}{2}\).
\(\frac{1}{2}\)
The result can be shown in multiple forms.
Exact Form:
\(\frac{1}{2}\)
Decimal Form:
\(0.5\)
Vocabulary:
Rotation
A transformation in which a figure is rotated through a given angle, about a point.
Angle
The union of two rays with a common endpoint, called the vertex.
Jess gave her nail technician a 450$ tip. The tip was 9% of the cost of the manicure. Write an equation to find b, the cost of the manicure.
Answers
Answer: $5000
Step-by-step explanation:
We can use the formula:
tip = rate × cost
where the rate is the percentage written as a decimal. In this case, the rate is 0.09 (9% expressed as a decimal), and the tip is $450. We want to find the cost of the manicure, which is represented by the variable b. So, the equation becomes:
450 = 0.09b
To solve for b, we can divide both sides of the equation by 0.09:
b = 450 ÷ 0.09
b = 5,000
Therefore, the cost of the manicure was $5,000.
Jan takes an IQ test at ages 7 and 9. Mike takes an IQ test at ages 5 and 9. Mark takes an IQ test at ages 7 and 10. Jane takes an IQ test at ages 5 and 8. Which child's IQ scores are MOST likely to be more positively correlated
Answers
The IQ scores are most likely to be more positively correlated is Jan
12/9=20/y
solve for Y
what is Y?
P.S Those are fractions NOT dates
Answers
20/15 = 4/3
y = 15
HLEPPP PLLSS I NEED THW COMPLETE AWNSER PLS
Answers
Answer:
20m
Step-by-step explanation:
total area =6*4=24m
area of the sand =2*2=4m
total area minis sand area =grass area
24-4=20m
Does combine mean add?
Answers
PLEASE HELP ITS DUE IN 5 MIN Solve for x in the following equation and upload a picture of your work step-by-step
Answers
Answer:
1.25 = X
Step-by-step explanation:
5-2x+2=12-4x-2x
Combine all like terms here.
7-2x=12-6x
Add 2x on both sides.
7=12-4x
Subtract 12 on both sides.
-5=-4x
Divide by -4.
1.25=X
When an object is dropped from a building, the height of the object above the ground is given by the formula h equals negative 4.9 x squared plus 44.1, where h is the height in meters and x is the time in seconds.How long does it take for the object to reach the ground
Answers
That it will take the object 3 seconds to reach the ground.
When an object is dropped from a building, the height of the object above the ground can be calculated using the formula h equals negative 4.9 x squared plus 44.1. In this formula, h represents the height in meters and x represents the time in seconds.
To determine the amount of time it will take for the object to reach the ground, we must find the value of x at which h equals zero, since the object will be on the ground at that point. We can express this equation as 0 = -4.9x² + 44.1.
To solve for x, we need to move the constant term (44.1) to the right-hand side of the equation, which gives us 4.9x² = 44.1.
We can then isolate x² by dividing both sides of the equation by 4.9. This leaves us with x² = 9.
Taking the square root of both sides of the equation, we get ±√9 = ±3. Since time cannot be negative, we only consider the positive value of x, which is 3 seconds.
Therefore, we can conclude that it will take the object 3 seconds to reach the ground.
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what is 2/3 ÷ 3/4 I really need help
Answers
Answer:
8/9
Step-by-step explanation:
2/3 ÷ 3/4
2*4/(3*3)
8/9
Which lists the ratios in order from greatest to least?
23:24, 11:12, 7:8
23:24, 7:8, 11:12
7:8, 23:24, 11:12
7:8, 11:12, 23:24
PLS HELP, ITS DUE VERY SOON
Answers
Answer:
A the first one
Step-by-step explanation:
hope this helps
The Diamond Rule says two factors, m and n, must multiply to get to the top number and add to
get to the bottom number.
What are the possible values for m and n?
Answers
Answer: -3 and -6
Step-by-step explanation: I took the quiz
Prove that if one pair of sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram
Answers
Quadrilaterals are closed shapes having four sides and four angles. The sides and angles of quadrilaterals may be of any degree and size. However, quadrilaterals having similar or identical properties are classified into different types. There are six types of quadrilaterals that exist, with each having its unique properties.
One such quadrilateral is the parallelogram. A quadrilateral is said to be a parallelogram if its opposite sides are parallel. Let's assume ABCD be a quadrilateral and AB is parallel to DC, then we can write AB||DC. Let's suppose the line segment AD intersects with BC at point E. Then we can write AE=CE and BE=DE. We can also write AD||BC. From triangle ABE, we can write angle ABE is congruent to angle CDE as AE=CE. Similarly, angle AEB is congruent to angle CED because BE=DE. So, from both these, we can say that the triangles ABE and CDE are congruent, which can be written as; ∆ABE ≅ ∆CDE.
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(a) Write each set using the listing method, if necessary. Then decide which of the sets are equal.
A = {6, 8, 10, 14}
B = {x | x is an even number from 6 through 14. }
C = {x | x is a number from 6 through 14 and is divisible by 2. }
Multiple choice:
- Sets A and B are equal.
- Sets A and C are equal.
- Sets B and C are equal.
- Sets A, B, and C are equal.
- None of these sets are equal to one another.
Explain your reasoning.
(a) Write each set using the listing method, if necessary. Then decide which of the sets are equal. A = {6, 8, 10, 14} B = {x
Answers
None of these sets are equal to one another.
Set A is given as {6, 8, 10, 14}. This is a listing of specific numbers in ascending order.
Set B is defined as {x | x is an even number from 6 through 14}. In this set, the elements are described using a rule or condition. The set includes all even numbers between 6 and 14, inclusive.
Set C is defined as {x | x is a number from 6 through 14 and is divisible by 2}. Similar to set B, set C also uses a rule or condition to describe its elements. The set includes all numbers between 6 and 14 that are divisible by 2, i.e., all even numbers between 6 and 14.
Now, let's analyze the equality of the sets:
Set A contains the specific elements {6, 8, 10, 14}.
Set B contains the even numbers from 6 through 14, which are {6, 8, 10, 12, 14}.
Set C also contains the even numbers from 6 through 14, which are {6, 8, 10, 12, 14}.
Comparing the sets, we can see that Sets B and C have the same elements, {6, 8, 10, 12, 14}. Therefore, Sets B and C are equal.
However, Set A only contains the elements {6, 8, 10, 14}, which is not the same as the elements in Sets B and C. Therefore, Set A is not equal to Sets B and C.
In summary:
- Sets A and B are not equal.
- Sets A and C are not equal.
- Sets B and C are equal.
- None of these sets are equal to one another.
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an x-bar--r chart has been in control for some time. if the range suddenly and significantly increases, the mean will:
Answers
If the range on an X-bar-R chart suddenly and significantly increases, it indicates an increase in process variation. In this scenario, the mean (X-bar) may or may not be affected.
The mean represents the central tendency or average value of the process, while the range measures the dispersion or variation within the process.
If the mean remains stable and unaffected despite the increase in range, it suggests that the process average is still within control. However, if the range increase is accompanied by a significant shift in the mean, it indicates a potential shift in the process average.
To make a definitive determination, additional analysis and investigation are necessary to identify the underlying cause of the increased range and its impact on the process mean.
This could involve examining individual data points, performing hypothesis testing, or conducting further statistical analysis to assess the process stability and potential issues.
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What is the simplified form of the following expression?a. (34)3b. 7[62 ÷ (52 − 42) + 8]
Answers
Answer:
a.) 102 b.) 99.4
Step-by-step explanation:
a. 34 x 3 = 102
b. 7[62 ÷ (52 − 42) + 8] = \(\frac{497}{5}\) or \(99\frac{2}{5}\) or 99.4
What is the value of y in the equation 2(2y - 12) = 0?
4
6
7
8
Answers
Answer:
The second option, 6
Step-by-step explanation:
opening the parentheses, the equation becomes,
4y - 24 = 0
4y = 24
y = 6
y = -7⁄2 x + 86
y = -7⁄2 (10) + 86
y = 51 points
Answers
Answer:
I think you are incorrect
Step-by-step explanation:
this was the answer i got 121
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
A van can ferry a maximum of 12 people. By setting up an inequality, find the maximum number of vans that are needed to ferry 80 people
Answers
By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.
To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.
Since a van can ferry a maximum of 12 people, we can write the inequality as:
12v ≥ 80
Now, let's solve for "v":
Divide both sides of the inequality by 12.
v ≥ 80/12
Simplify the inequality.
v ≥ 6.67
Since we cannot have a fraction of a van, we need to round up to the nearest whole number:
v ≥ 7
Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.
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WILL GIVE BRAINLOST TO BEST QUSTION
The cost of a ride in a taxi is $4 for the first half-mile plus a constant amount per half-mile after that. The sequence below shows the pattern of numbers that appear on the driver's screen.
2.50, 2.75, 3, 3.25, 3.50,...
Which of the following is the Recursive Function that can be used to determine f(x), the cost in dollars, for a ride in the tax of, x. half miles?
Answers
Answer:
I don't know men iam grade 7 student
can someone please explain how 17/3 goes into the graph as a parallel line
Answers
Answer:
The parallel is just when slope of line equal to slope of the other and here the 17/3 is just the y intercept
brainliest for answers
Answers
Answer:
B
Step-by-step explanation:
if this is correct can i get brainliest and i hope this helps (:
A streetlamp illuminates a circular area that is 23 meters across through the center. How many square meters of the street is covered by the light? Round to the nearest hundredth and approximate using π = 3.14.
72.22 m2
415.27 m2
2,607.86 m2
5,215.73 m2
Answers
The streetlamp illuminates approximately B) 415.27 square meters of the street. So the correct option is (B) 415.27 square meters.
The area of a circle is given by the formula
\(A = \pi r^2,\)
where r is the radius of the circle. In this case, the diameter of the circle is given as 23 meters, so the radius is half of that, or 23/2 = 11.5 meters.
Using the formula for the area of a circle and approximating π as 3.14, we get:
\(A = 3.14 \times (11.5)^2\)
A ≈ 415.27
Therefore, the streetlamp illuminates approximately 415.27 square meters of the street. Rounded to the nearest hundredth, the answer is 415.27 \(m^2.\)
So the correct option is (B) 415.27 m2.
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Answer:
B) 415.27 square meters
Step-by-step explanation:
8. A homebuilder is putting new shelves in each closet he is building. He has 2,592 shelves in
his Inventory. If each closet needs 108 shelves, how many closets can he build?
2.4
108
42
24
Answers
The students in the astronomy club are selling snacks to raise money for a planetarium field trip. If they sell x muffins at $0.35 apiece and y bags of carrot sticks at $0.15 apiece, the total number of dollars raised will be T = 0.35x + 0.15y. How many dollars will they raise if they sell 210 muffins and 120 bags of carrot sticks?
Answers
Answer:
$91.5
Step-by-step explanation:
muffins: 210 carrot sticks:120
T= 0.35x + 0.15y (replace x as no. of muffins & y as no. of carrot sticks)
T= (0.35×210) + (0.15×120)
T= 73.5 + 18
T= 91.5
If the weight of 90 books is 50kg, what is the weight of 180 such books. In both proportion and unitary method.
Answers
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that the weight of 90 books is 50kg. We need to get the weight of a book first and this will be:
= 50/90
= 5/9
Therefore, the weight of 180 such books will be 5/9 multiplied by 180. This will be:
= 5/9 × 180
= 100kg
Can you tell me the answer? E = ?
Answers
Answer:
\(E=mc^{2}\)
Step-by-step explanation:
An Albert Einstein iconic math problem.
In a sample of 230 commuting students, 111 reported that they walked to school. Can you conclude that fewer than half of the commuting students walk to school? Conduct a hypothesis test at the significance level of 10%. This hypothesis test is testing ____ Hence, you perform a ____ test. The alternative hypothesis has a Select] symbol in it and both of the hypotheses compare the parameter to the value ____ The value of your test statisticis ____which results in a p-value of ____You could also find the critical value, which is ____ Using the p-value or the critical value, you determine that you _____ This means that there is ____ evidence to say that the proportion of commuting students that walk is ____ at the _____ level of significance.
Answers
This hypothesis test is testing the proportion of commuting students who walk to school.
Hence, you perform a one-sample proportion test.
The alternative hypothesis has a "less than" symbol in it and both of the hypotheses compare the parameter to the value 0.5.
The value of your test statistic is -1.885, which results in a p-value of 0.030.
You could also find the critical value, which is -1.645.
Using the p-value or the critical value, you determine that you reject the null hypothesis.
This means that there is significant evidence to say that the proportion of commuting students that walk is less than half at the 10% level of significance.
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