Floataway Tours has $420,000 that can be use to purchase new rental boats for hire during the summer. The boats can be purchased from two different manufacturers. Floataway Tours would like to purchase at least 50 boats and would like to purchase the same number from Sleekboat as from Racer to maintain goodwill. At the same time,Floataway Tours wishes to have a total seating capacity of at least 200.

Required:
Formulate this problem as a linear program.

Answers

Answer 1

Answer and explanation:

A linear problem is an equation based on known and unknown variables that follow a linear path, usually without exponents and look like this:

y=mx+b. To formulate the linear constraints of the problem above, we look at the unknown variables and known variables and define and equation using this.

From the problem, assume x and y are the prices of the different boat brands:

50x+50y=420000

Assume a and b are number of x brand boats and y brand boats supplied thus:

a+b>=200


Related Questions

please help please help​

Answers

Answer:

1. number line or 3

2. D

3. E and K

4. B

5. A

Brainliest please~

Suppose that E and F are points on the number line. If EF=20 and E lies at 4, where could F be located?

Answers

Answer:

F lies at 24

Step-by-step explanation:

Since EF = 20 and E is at 4

F is at:

4 + 20 = 24

which linear inequality represents the graph below?

A. y < -1/4x-4
B. y < 4x-4
C. y < -1/4x+4
D. y < -4x+4​

Answers

I choose C as my answer

Julie and Mona know that that Earth’s average distance from the Sun is approximately 93 million miles and it takes 1 year to complete an orbit of the Sun. A new asteroid has been discovered orbiting the Sun at an average distance of 1,488 million miles. How long will it take for the asteroid, in Earth years, to complete one orbit of the Sun.

Answers

Answer:

16 years

Step-by-step explanation:

Given that :

Earth's distance from sun = 93 million miles

Number of years to complete an orbit = 1 year

Average orbiting distance of new asteroid = 1488 million miles

Number of years to complete an orbit = x

93,000,000 Miles = 1

1488000000 miles = x

Cross multiply :

93000000x = 1488000000

x = 1488000000 / 93000000

x = 16 years

Period taken to orbit the sun = 16 years

Answer: 64 Earth years...

GIVING OUT BRAINLIEST IF GIVEN AN ANSWER WITH THOUROUGH EXPLANATION AND NOT JUST AN ANSWER! THANKS!

During the first part of a 6-hour trip, you travel 240 miles at an average speed of r miles per hour. For the next 72 miles of the trip, you
increase your speed by 10 miles per hour. What were
your two average speeds?

Answers

9514 1404 393

Answer:

50 mph for 4.8 hours60 mph for 1.2 hours

Step-by-step explanation:

One way to write the relationship between time, speed, and distance is ...

  time = distance/speed

For the first part of the trip, the time is ...

  t1 = 240/r

For the second part of the trip, the time is ...

  t2 = 72/(r+10)

The total time is 6 hours, so we have ...

  t1 +t2 = 6

  240/r +72/(r+10) = 6

We can simplify this a bit by multiplying by (r)(r+10)/6 to get ...

   40(r+10) +12(r) = r(r+10)

  r² -42r -400 = 0 . . . . . . . . subtract the left side and collect terms

  (r -50)(r +8) = 0 . . . . . . . . factor

  r = 50 . . . . . the positive solution of interest.

The two average speeds were 50 mph and 60 mph.

The value of Tonya's car is $21,000. The car's value depreciates at a rate of 15% per year.

Which function represents the value of the car after t years?

f(t)=0.85(21,000)t
f(t)=1.15(21,000)t
f(t)=21,000(0.85)t
f(t)=21,000(1.15)t

Answers

9514 1404 393

Answer:

  (c)  f(t)=21,000(0.85)^t

Step-by-step explanation:

Each year, the value is multiplied by 1-15% = 85% = 0.85. This is correctly shown in the function ...

  f(t)=21,000(0.85)^t

what is 4/7 raised to the power of negative 1 as a rational number​

Answers

Answer:

7/4

Step-by-step explanation:

(4/7)^-1

We know a^-b = 1/a^b

1/ (4/7)^1

7/4

Answer:

(4/7)^-1

=1/(4/7)^1

=1÷4/7

=1×7/4

=7/4

Therefore 7/4 is equal to 1.75 as a rational number

100 POINTS!!!!!
Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.


Question: Given answer the questions that follow.


a. Your friend claims the graph of f(x)=2x increases at a faster rate than the graph of g(x)=x2 when x ≥ 0. Is your friend correct? Explain your reasoning.

b. How are the 2 functions different?

Answers

Answer:

a. The friend is incorrect.

2(x) is the same as x(2). PEMDAS does not apply to the same order of operation under normal conditions and both are directly proportional functions.

b. The parentheses are the only thing making the functions different. After you simplify from the parentheses, both values have the same priority.

Step-by-step explanation:

the answer above is correct i got it right!

ANSWER ASAP IM BEING TIMED
IF I GET AN A ON THIS I WILL DO ANOTHER POINT FREE DROP, PLEASE SHOW YOUR WORK

The side of a square measures (4x − 7) units.

Part A: What is the expression that represents the area of the square? Show your work to receive full credit. (4 points)

Part B: What are the degree and classification of the expression obtained in Part A? (3 points)

Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

(10 points)

Answers

Step-by-step explanation:

Area of a square = s x s

(4x-7)x(4x-7)

Open brackets

4x(4x-7)-7(4x-7)

16x^2-28-28x+49

16x^2-28x+21

A sample of students was asked what political party do they belong. which of the following types of graphical display would be appropriate for the sample?
A. Stemplot.
B. Pie chart.
C. Scatterplot.
D. All of the above.

Answers

Answer:

B. Pie chart.

Step-by-step explanation:

In this question, the students are asked what political party they belong. The best display format would be one in which the graph can be divided into parts, or percents, according to the percentage of students belonging to each political party. The graph that best describes this, distributing a group into parts, is a pie chart, and thus, the correct answer is given by option b.

Scatterplot is used when two variables correlate together, that is, there is a relationship between them, which we don't have between the number, or proportion of students belonging to each political party. Stemplot are used when there is a high number of quantitative data, which we do not have here.

For the function, tell whether the graph opens up or opens down, identify the vertex, and tell whether the graph is wider, narrower, or the same width as the graph of y = |x|.

y = 2|x – 1| - 3



opens up, (1, 3), wider

opens up, (1, 3), narrower

opens up, (-1, -3), wider

opens up, (1, -3), narrower

Answers

Answer:

The answer is D, the last one.

9514 1404 393

Answer:

  (d)  opens up, (1, -3), narrower

Step-by-step explanation:

The factor of +2 multiplying the function tells you the graph is expanded vertically by a factor of 2. The parent function opens upward, and the positive sign on this expansion factor does not change that. The expansion means that y-values will be farther from the vertex for the same x-value distance from the vertex. This give the appearance of a narrower graph.

As always, the transformation ...

  f(x -h) +k

moves the vertex from (0, 0) to (h, k). Here, you have (h, k) = (1, -3), so that is the location of the vertex of the transformed function.

Suppose that you are offered the following "deal.
You roll a six-sided die.
If you roll a 6, you win $8.
If you roll a 3, 4 or 5, you win $1.
Otherwise, you pay $7.
Complete the Probability Distribution table shown below.
Let X represent your profit and list the X values from smallest to largest. Roond to 4 decimal places where
appropriate.
Probability Distribution
Table
Х
P(X)
Find the expected profit. $
(Round to the nearest cent)

Answers

Answer:

expected profit is  - $0.50

Step-by-step explanation:

1  $(7.00) 0.166666667  $(1.17)

2  $(7.00) 0.166666667  $(1.17)

3  $1.00  0.166666667  $0.17  

4  $1.00  0.166666667  $0.17  

5  $1.00  0.166666667  $0.17  

6  $8.00  0.166666667  $1.33  

   

   $(0.50)

A little help?? It’s trig

Answers

Answer:

12 [tex]\pi[/tex] = 37.699 f/s

Actually, the more interesting question

would have been how fast is the ball going in MPH?

25.7 MPH

Step-by-step explanation:

C = 2[tex]\pi r[/tex]

C = 2 [tex]* \pi * 1.2[/tex]

C = 2.4 [tex]\pi feet[/tex]

C (per second) = (5)(2.4 [tex]\pi feet[/tex])

C(per second) = 12 [tex]\pi[/tex] = 37.699 f/s


How is the graph of
y=-3(5)*-
- 3 translated from the graph of y=
=30594?

A. reflected across the y-axis and 3 units down
B. reflected across the x-axis and 3 units down
C. reflected across the x-axis and 3 units left
D. reflected across the y-axis and 3 units right

Answers

Answer:

Purplemath

Introduces reflections in the x- and y-axes. ... To see how this works, take a look at the graph of h(x) = x2 + 2x – 3. ... The previous reflection was a reflection in the x-axis. ... f (x – b) shifts the function b units to the right.

A machine has two components both of which have a lifespan, in months, that is exponentially distributed with mean 8. The lifespan of the two components are independent. Find the probability both components are functioning in 12 months.

Answers

Answer:

0.0498

Step-by-step explanation:

In this question,

x~exponential

we have

mean = 1/λ = 8

from here we cross multiply, when we do

such that

λ = 1/8

probability of x functioning in 8 months

= e^-λx

= e^-1/8x12

= e^-1.5

= 0.2231

i got this value through the use of a scientific calculator

then the probability that these two are greater than 12

= 0.2231²

= 0.04977

= approximately 0.0498

therefore the probability that both components are functioning in 12 months is 0.0498

An electronic system contains three cooling components that operate independently. The probability of each component's failure is 0.05. The system will overheat if and only if at least two components fail. Calculate the probability that the system will overheat.

Answers

Answer:

[tex]Pr= 0.00725[/tex]

Step-by-step explanation:

Given

[tex]p = 0.05[/tex] ---- probability that each component fails

[tex]n = 3[/tex]

Required

[tex]P(System\ Overheats)[/tex]

We understand that the system will overheat if at least 2 component fails; Assume the components are: x, y and z

The events that the system will overheat are: xyz', xy'z, x'yz and xyz

Where ' means that the component did not fail, and the probability is 1 - p (i.e. complement rule)

So, we have:

[tex]xyz' \to 0.05 * 0.05 * (1 - 0.05) = 0.002375[/tex]

[tex]xy'z \to 0.05 * (1 - 0.05)* 0.05 = 0.002375[/tex]

[tex]x'yz \to (1 - 0.05)* 0.05 * 0.05 = 0.002375[/tex]

[tex]xyz \to 0.05 * 0.05 * 0.05 =0.000125[/tex]

So, the required probability is:

[tex]Pr= 0.002375 +0.002375 +0.002375 + 0.000125[/tex]

[tex]Pr= 0.00725[/tex]

ora started watching a movie at 2:45 p.m. She watched the movie for hours before stopping the movie for hours to eat dinner. After dinner, Nora finished watching the remaining hours of the movie. At what time did the movie end?

Answers

Answer: Movies Average around 1 hour to 2 hours long. 1:30 to 2:30 so id say somewhere around 4-5 pm. Which leaves time for dinner after

Step-by-step explanation:

Perpendicular lines

What is the segment

Answers

Line AH and line GH you know they are perpendicular by the right angle

Sam takes a job with a starting salary of $50,000 for the first year. He earns a 4% increase each year. Which expression gives the partial sum, S3, (in thousands)?

Answers

Given the statement:
Sam takes a job with a starting salary of $50,000 for the first year. He earns a 4% increase each ear.
Write each expression that gives the partial sum.
Representation:
The given statement can be written as,
Total Money = Starting Salary( 1 + rt)
t = number of years.
r = rate
Total Money = $50,000( 1 + 0.04(t))
Final answer:
Total Money = $50,000( 1 + 0.04(t))

Find functions f(x) and g(x) so the given function can be expressed as
h(x) = f(g(x)).
(Use non-identity functions for
f(x) and g(x).)
h(x) = 5/x-4

Answers

Answer:

[tex]f(x) = \frac{5}{x}[/tex]

[tex]g(x) = x - 4[/tex]

Step-by-step explanation:

Composite function:

[tex]h(x) = f(g(x)) = (f \circ g)(x)[/tex]

h(x) = 5/x-4

We have x on the denominator and not the numerator, so the outer function is given by:

[tex]f(x) = \frac{5}{x}[/tex]

The denominator is x - 4, so this is the inner function, so:

[tex]g(x) = x - 4[/tex]

A particular network service provider charges 50 Kobo per second to make a call. How many minutes will a caller with 300 naira airtime last.​

Answers

9514 1404 393

Answer:

  10 minutes

Step-by-step explanation:

The current legal tender conversion rate is 50 kobo = 0.50 naira. Then the airtime balance is ...

  (300 NGN)/(0.50 NGN/s) × (1 min)/(60 s) = 300/(0.50×60) min = 10 min

The length of the box is 15 centimeters, the breadth of the box is 20 centimeter, the height of a box, 20 centimeter fine its volume. Step by step​

Answers

Answer:

volume=length×width×height

v=15×20×20

v=6000

Consumers Energy states that the average electric bill across the state is $39.09. You want to test the claim that the average bill amount is actually different from $39.09. What are the appropriate hypotheses for this test

Answers

The null hypothesis is [tex]\mu = 39.09[/tex]  

The symbol [tex]\mu[/tex] is the Greek letter mu

The alternate hypothesis is [tex]\mu \ne 39.09[/tex] telling us we have a two-tailed test here. The "not equal" is directly tied to the keyword "different" given in the instructions. In other words, mu being different from 39.09 directly leads to [tex]\mu \ne 39.09[/tex]

So either mu is 39.09 or it's not 39.09

You can use H0 and H1 to represent the null and alternate hypotheses respectively.  

----------------------

Summary:

The two hypotheses are

H0: [tex]\mu = 39.09[/tex]

H1: [tex]\mu \ne 39.09[/tex]

This is a two tailed test.

(Will mark brainliest!!!) 20 PTS !!


Sixty percent of all children in a school do not have cavities. The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities is:

Answers

Answer:

probability[Number of 6 random sample do not have cavities] = 0.8

Step-by-step explanation

Given:

Number of student do not have cavities = 60%

Number of random sample = 9 children

Find:

Probability[Number of 6 random sample do not have cavities]

Computation:

n = 9

p = 60% = 0.6

P(At least 6)  

Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than 6)  

Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than or equal to 6)

Probability[Number of 6 random sample do not have cavities] = 0.8

Some number times 7 is equal to the number increased by 9


Write out the equation. Do not solve the equation.

Answers

Answer:

7x = x + 9.

Step-by-step explanation:

7 × something = something + 9, right?

So, 7x = x + 9.

Round 948070 to the nearest hundred? Hurry please

Answers

Answer:

9.48

Step-by-step explanation:

by what number should 2/9 be divided to obtain 8/3​

Answers

Answer:

[tex] \frac{1}{12} [/tex]

Step-by-step explanation:

[tex] \frac{2}{9} \div \frac{8}{3} \\ = \: \frac{1}{12}[/tex]

So, if you divide 2/9 by 1/12, you'll get 8/3

Answered by GAUTHMATH

AY
5
The slope of the graphed line is 2. Which formulas HELP PLEASEEEE
3
represent the line that is graphed? Check all that apply.
4
1(4,4)
3
(1/2)
Oy-1 = {(x-2)
Oy-2 = {(x - 1)
Oy-4 = (x - 4)
x
2 3 4 5
2
o flux) = { x + 1
3
47
4
f(x) = 2 x + 4
5

Answers

Answer:

y - 2 = 2/3 (x-1)

OR

y - 4 = 2/3(x-4)

NOTE ;ALL WILL GIVE THE SAME RESULT

Step-by-step explanation:

With this graph,the equation can be found on a straight line as the graph is .

So the formula is

[tex]y - y1 = m(x - x1)[/tex]

where your m is your gradient or slope as already said,the equation can be used by this formula (note;after finding your normal slope (not on a straight line ) firstly)

When you are done take any of the points connecting to the x axis and y axis directly as in (4,-4) or (2,1)

Let your first number be x1 and second y1 and place it in the formula .

NOTE: Y and x is constant and your general solution should be in the form;

y = mx +c

where m is still your normal slope.

Rearrange 2x = y/w to make w the subject​

Answers

Yes i think that is the answer good boj

The equation y - 5 = 6X + 1 is written as point-slope form. What is the equation written in slope intercept form

Answers

Answer:

y = 6x + 6

Step-by-step explanation:

The general formula is y = mx +c

so; the y as seen will be constant as well as the x

With change of subject the 5 will be moved to the other side having y= 6x +1 + 5 .Given us y = 6x + 6.

Other Questions
Water evaporates from a lake. Arrange the next steps of the water cycle in the correct order.Water vapor condenses to form clouds.Water flows down mountains and hills.Water falls as rain, snow, and sleet.Water joins streams or formsgroundwater What characteristics would you most associate with Lady Macbeth afterreading this speech? John is working on his department's annual plan. Employee performance has been okay and commitment to his department's goals moderate. In the past Johnhas asked his employees to do their best. This year he is asking each employee to work with him in determining exactly what that employee is going toaccomplish this year. John wants his people to feel the goals are theirs, to invest in their accomplishment. He wants them to believe that they can accomplishthese goals. He thinks he can help this whole process by meeting with each employee quarterly and talking about where the department is and where theemployee is in regards to goal accomplishment. In the past what principle of goal setting did John violate?O A) Goal commitmentOB) Assigning specific goalsO Setting difficult but acceptable goalsOD) Providing feedback on goal attainment Quantity demand is 385 and quantity supplied is 203 calculate the shortage When a golfer tees off, the head of her golf club which has a mass of 158 g is traveling 48.2 m/s just before it strikes a 46.0 g golf ball at rest on a tee. Immediately after the collision, the club head continues to travel in the same direction but at a reduced speed of 32.7 m/s. Neglect the mass of the club handle and determine the speed of the golf ball just after impact. Another form of fibrous connective tissue of the body that covers, connects or supports other tissues is called? Three consecutive odd integers have a sum of 27. Find the integers. Diego is trying to lift a piano to the second floor of his house. Diego uses a pulley system and gives a big lift to the piano.The piano moves upward, then stops, and then it starts to fall to the ground. (The direction of the force of gravity is negative.) Which list best describes the forces on the piano in the proper order 2. Is there a difference in the way men and women speak Hindi like Japanese?3. What do you think about the difference in Japanese speaking style between men and women?4. Is there a difference between written and spoken Hindi? When authors use local color, what are they doing?They use the dialect of the common people.They focus on characters, customs, and language common to a particular region.They incorporate historical events from a particular region in their writing.They write about things that happened out West. Find the TWO integers whos product is -12 and whose sum is 1 Now that you have worked through a lot of material that includes these basic patterns, and you have compared grammatically correct and incorrect sentences, write down what you think is a rule that could explain what makes a sentence grammatically correct or not. For example, you might write something like: "verbs always match nouns in number, and they usually come before the noun." In other words, make your best guess for the grammar rule that makes sense out of the pattern(s) you see in the phrases you have been working with. Review if you need to, and you might briefly check your hunches against the sentences you have been working with in this or previous modules. Keep in mind that what you're after is your hunch, not a grammar rule from a text book. Then check your hunch with the explanation of this principle in the following pattern. Many home barbeques are fueled with propane gas (C3H8)(C3H8). Part A What mass of carbon dioxide is produced upon the complete combustion of 27.9 LL of propane (the approximate contents of one 5-gallon tank) __________ is a cornerstone in the protection of information assets and in the prevention of financial loss. What is 6 1/3 divied by 1/6 Complete this sentence: The longest side of a triangle is always opposite the A. angle with the smallest measureO B. angle with the greatest measureO C. shortest sideD. second-longest side Health and Wealth Company is financed entirely by common stock that is priced to offer a 15 percent expected return. If the company repurchases 25 percent of the common stock and substitutes an equal value of debt yielding 6 percent, what is the expected return on the common stock after refinancing PLEASE HELP !!!!! Which type of conic section is described by the following equation?(y - 3)2/4^2- (x+2)^2/6^2=1A. CircleB. Parabola that opens upC. Parabola that opens downU OD. Hyperbola opening left and rightE. EllipseE Hyperbola opening up and dow 1. digital ink pen a miniature electronic circuit or device that electricity flows through. The circuit is made of silicon. It may also be called a chip 2. Electronic Paper Display a pocket-sized card that can store data and process information 3. integrated circuit an automatic identification device that lets you store and retrieve information 4. radio transceiver a device that captures handwritten notes and downloads it to the computer so that the text may be displayed on the monitor 5. RFID display or sign with the ability to update the information electronically 6. smart card an electronic device that uses an antenna to read and send information by way of a radio signal I live within the cell, i am an organelle called