You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The second plan charges a monthly fee of $39.95 plus 10 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
Answers
Answer: 286 minutes
Step-by-step explanation:
x : # of months that has gone by
0.24x : cost of the 24 cent plan after "x" minutes
39.95 + 0.10x : cost of the 10 cent plan after "x" minutes
1. 39.95 + 0.10x > 0.24x
2. 39.95 > 0.24x - 0.10x
3. 39.95 > 0.14x
4. 285.36 > x
x must be AT LEAST 286 minutes for plan #2 (39.95 + 0.10x) to be a better deal
Answer:
286 minutes.
Step-by-step explanation:
Plan one: .24x
Plan two: 39.95 + .10x
When x = 286, the price of plan one is $68.64, which is higher than plan two which is $68.55. This makes the second plan preferable after 286 minutes of use.
Related Questions
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
Jamal owns a parking garage and is trying to find the relationship between hour of the day and number of cars in the garage. He finds that between 4 am and 10 am he can model this with a linear relationship. The equation for this model is y = 3.96x + 2. How many cars were in the garage at 4 am.
A) 1
B) 2
C) 3
D) 4
Answers
Answer:
b) 2 i think ! If im right Please give me brainlyist! Ty! (btw i worked out the problamo so im right!
Step-by-step explanation:
A town's total allocation for firefighter's wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter. How many firefighters can the town employ if they spend their whole budget?
enter the numerical answer only (no words or symbols).
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Which graph represents a proportional relationship?
Answers
Jayken earned $32 in November. He earned $40 in December. What is the percent increase or decrease in Jayken's monthly earnings?
Answers
Answer:
25%
Step-by-step explanation:
32 is 25% of 40 so there was a 25% increase.
Answer:
:25% increase
Step-by-step explanation:
Paul plots the following points on a coordinate grid. (-2,5), (3, 1), (0, 7) Which of the following points, if added to his graph, would result in it NOT representing a function?
Answers
Answer: D
Step-by-step explanation:
The input (x) can only have one output (y).
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Answers
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
Solve for x: 22x + 54 = -20 + 60x
Solve for x: 8 + 9.8x + 9 = 3.8x - 16 + 3.8x
Solve for x: -2x - 10 = -14x - 7
please help im so confused on all of them
Answers
Answer:
Solve for x: 22x + 54 = -20 + 60x
Solve for x: 8 + 9.8x + 9 = 3.8x - 16 + 3.8x
Solve for x: -2x - 10 = -14x - 7
Step-by-step explanation:
First step is to Combine the like terms, which means to subtract 60 from 22 which will equal -38x+ 54 = -20 + x
Next you will add 20 with 54 and -20 which will give you -38x+ 74 = x
Finally you have to find x so swap out -38x with x and solve 74 + x = -38 and that will be your answer. Please do the same for the next two problems and you will be good to go!
Glad to help!
(Please mark brainiest!)
2. x = -11
3. x = 1/4
i need to answer part b. i really need help. this is due tomorrow pls. ☹️
Answers
step explanation: it helped me with a lot of assignments.
Answer:
28+x
Step-by-step explanation:
6+6=12
8+8=16
12+16= 28
Use long division to write the fraction 2 as a decimal
Answers
Answer:
welp i get free things from answering so thx
Step-by-step explanation:
help me its due today :')
Answers
Answer:
9 feet easy to solve this is answer
Need help! This is my last assignment b4 spring break!
Answers
Answer: If we substitute y = 5, 0, and -5 in the expression 4y + 5, we get:
4(5) + 5 = 25 + 5 = 30
4(0) + 5 = 0 + 5 = 5
4(-5) + 5 = -20 + 5 = -15
Therefore, the values of the expression for y = 5, 0, and -5 are 30, 5, and -15, respectively.
Sorry For Late Answer
Step-by-step explanation:
Answer: 4y + 5
y = −5
0
5
Step-by-step explanation: I pretty sure that's it
Eight friends purchase various supplies for a camping trip and agree to share the total cost equally. They spend $85.43 on food, $32.75 on water, and $172.46 on other items. How much does each person owe?
Answers
Answer:
$36.33
Step-by-step explanation:
$85.43 + $32.75 + $172.46 = $290.64
$290.64 divided by 8 = $36.33
Each person owes $36.33
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
Which shape describes the base of a cone?
a. square b.rectangle c. circle d.triangle
Answers
Answer:
circle
Step-by-step explanation:
please answer quickly
Answers
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
Which of the following best describes the equation below?
y = 3x^3-11
A.
neither linear nor nonlinear
B.
linear
C.
nonlinear
D.
both linear and nonlinear
Answers
First; meaning of Linear.
Able to be represented by a straight line on a graph.
I have attached a picture to show how the equation is represented on a graph. I hope this helps!! Much love and good luck <33 :)
A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.
Look at the table below.
Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents
Answers
Answer:
the answer is $8.29
Step-by-step explanation:
1.60 marked up by 60% in decimal form is .60
multiply that .60 by 1.60 and you get .64
you add .64 to 1.60 and you get 2.56
you multiply 2.56 by 3 and you get 7.68
you have a 8% sales tax so you multiply 0.08 by 7.68
you will get .61 you add that to 7.68 to get $8.29
Answer:
step 3
Step-by-step explanation:
help pls due sunday (unhelpful answers will be reported)
Answers
This is really hard to explain how to do in words, so I will give you physical movements to perform.
For the first one, draw the graph, then rotate the paper. Redraw the graph on another paper, but draw the triangle where it is on the rotated paper.
For the second, draw the graph, then flip the paper. Place the paper on a light source and trace it on the back.
These strategies are much easier than actually mathing through it, and take much less energy and time.
Answer:
Step-by-step explanation:
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
Jack tried to define a rotation.For the center point CCC, the image C'C ′ C, prime is at the same point as CCC. For a point PPP that is not at CCC, a rotation of \thetaθtheta about point CCC creates point P'P ′ P, prime, such that CP=CP'CP=CP C, P, equals, C, P, prime and m\angle PCP'=\thetam∠PCP ′=θm, angle, P, C, P, prime, equals, theta. What mistake did Jack make in his definition of a rotation?
A
Jack needed to include the direction of the rotation.
(Choice B)
B
m\angle CPP'm∠CPP
′
m, angle, C, P, P, prime must equal \thetaθtheta.
(Choice C)
C
Point CCC must be the midpoint of PP'PP
′
P, P, prime.
(Choice D)
D
Jack did not make a mistake.
Answers
Which is true about the solution to the system of inequalities shown? y > 3x + 1 y 3x + 1 are solutions. Only values that satisfy y 3x + 1 or y < 3x – 3 are solutions. There are no solutions.
Answers
Answer:
there are you just got to find them
NEED HELP ASAP WILL GIVE BRAINLIEST
Which of the following sentences correctly uses parallel structure? In the scientific method, you propose a hypothesis, conduct an experiment, analyze the data, and you end with a reporting of your findings. The scientific method consists of proposing your hypothesis, conducting your experiment, analyzing your data, and reporting your findings. The scientific method begins with a hypothesis, continues with an experiment, then analyzing data, and reporting findings. To correctly follow the scientific method, you must hypothesize, experiment, analyze, and reporting your findings.
Answers
Answer & Step-by-step explanation:
The following sentence correctly uses parallel structure: "The scientific method consists of proposing your hypothesis, conducting your experiment, analyzing your data, and reporting your findings." In this sentence, all of the phrases are in the same form and describe actions that are part of the scientific method. Each phrase begins with a verb (proposing, conducting, analyzing, and reporting) and is followed by a noun that describes the action (hypothesis, experiment, data, and findings). This structure is parallel because each phrase has the same grammatical structure and describes a similar action.
The other sentences do not use parallel structure because they do not have the same grammatical structure or they do not describe similar actions. For example, in the first sentence, the phrases "propose a hypothesis" and "end with a reporting" are not parallel because they do not have the same grammatical structure. In the second sentence, the phrases "proposing your hypothesis" and "reporting your findings" are not parallel because they do not describe the same type of action (proposing is a mental process, while reporting is a physical action). In the third sentence, the phrases "begins with a hypothesis" and "reporting findings" are not parallel because they do not have the same grammatical structure (one begins with a verb and the other ends with a verb). Finally, in the fourth sentence, the phrases "hypothesize" and "reporting" are not parallel because they do not have the same grammatical structure (one is a verb and the other is a gerund).
Answer:
The scientific method begins with a hypothesis, continues with an experiment, then analyzing data, and reporting findings
PLEASE HELP AND ANSWER ONLY IF YOU KNOW
show your work
Answers
Answer:
food next month should be $59.08 (8% decrease)
Step-by-step explanation:
sorry if i am wrong
Hopes this helps :)
which one is correct 0.061 > 0.510 0.501 < 0.510 0.510 > 0.510 0.500 > 0.510
Answers
Answer: 0.501 < 0.510
Step-by-step explanation:
0.510 is larger than 0.501
3a.) If you are at -20 feet, how far would you need to go to get to 10
feet? (Think: what should you add to -20 to get to 10?)
Answers
Answer:
-20+30=10 Add 30 ft
Step-by-step explanation:
If you subtract 20 from -20 you get 0 now if you add 10 you get 10 equal to the number you need to be equivalent to. 20+10=30 your answer is 30. You should add 30 to -20 to get 10.
WILL MARK BRAINLIEST !!!
I need answers for questions 1-5, please be fast !
Answers
2) 0.000031 miles
3) 0.000012
4) 0.000099
5) I don’t get the question
I hope it’s right sorry if it’s not
1) CHINA
2) 0.000031
3) 0.000012(I’m not sure)
4) 0.000099
5) what does it mean?
what did she do wrong?? cuz 9*8 is 72 and 72 minus 72 is 0 sooo you tell me what she did wrong cuz I to slow to know!
Answers
Answer:
D, she DID NOT make an error
This is a trick question.
Step-by-step explanation:
What is the area of this parallelogram?
60 cm2
66 cm2
72 cm2
132 cm2
Answers
Pablo has 20 balloons for his party. He will either take 2 for a stack or 3 for a stack. How many more stacks will Pablo need if he takes 3 on each stack?