Two sailboats are traveling along the same path away from a dock, beginning from different locations at the same time. John’s boat beings 30 miles from the dock and is 50 miles from the dock after 5 hours. The distance of Roberta’s boat from the dock is represented by the function y = 5x + 25, where x represents time and y represents the distance from the dock.

Which boat was farther from the dock at the beginning, and which traveled more quickly?

A. John’s boat was farther from the dock at the beginning, but Roberta’s boat traveled more quickly.

B. Roberta’s boat was farther from the dock at the beginning, and it traveled more quickly.

C. John’s boat was farther from the dock at the beginning, and it traveled more quickly.

D. Roberta’s boat was farther from the dock at the beginning, but John’s boat traveled more quickly.


Please Help!!!!

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

The correct statement is John’s boat was farther from the dock at the beginning, and it traveled more quickly option (C) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Two sailboats are traveling along the same path away from a dock, beginning from different locations at the same time.

y = 5x+25

at starting x=0

y = 25 miles away from the dock

x = 5

y = 5×5+25

y = 50 miles

= (50 - 25)/5

= 5

Thus, the correct statement is John’s boat was farther from the dock at the beginning, and it traveled more quickly option (C) is correct.

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Related Questions

What is the value of x?
Enter your answer in the box

Answers

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

find the solution to following system using substitution or elimination

y = -x + 10

y = 7x + 2

A. (1,9)

B. ( 3/2 , 17/2)

C. (9,65)

D. (1, -1/7)

Answers

Answer:

the answer is (1,9)

Step-by-step explanation:

Solve the following equation for I. A = 2nr + nrl. Explain each step please

Answers

Sorry I’m not sure but I’ll try and help- lemme just add it to a different comment

The manager of a clothing store purchased 40 pairs of jeans for $500. She plans to sell each pair of jeans for $19.99. By what percent did she mark up the price?

A.
60%

B.
12.5%

C.
10%

D.
7.5%

Answers

Answer:

60%

Step-by-step explanation:

Formula: Markup Percentage = Selling Price Per Unit - Cost Price Per Unit over Cost price per unit. times 100

$19.99 - 12.5

-------------------   times 100

12.5

Follow PEMDAS

7.49 / 12.5 = 0.5592 (100) = 59.92

Round to the nearest whole number. So about 60%

Which is a qualitative graph?

Answers

Step-by-step explanation:

Qualitative graphs are graphs that are used to represent situations that do not necessarily have numerical values. Qualitative graphs represent the essential elements of a situation in a graphical form. For example, Graph A could represent a car that is accelerating at a constant rate.

The numerical information from the definitive quantified variables research is given and represented utilizing quantitative graphs.Qualitative drawings were graphics that are used for circumstances without any numeric value.In graphical form, quality graphs are indeed the primary components of the scenario.Each frequency of attributes and qualities of a data set instance should be known.This analysis allows the researcher or analysts to obtain more massive data sets with the integral feature.

Therefore, the "Second graph" is the qualitative graph.

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Hi. Please i need help with this . No jokes . I need help with (vii) and (ix)​

Answers

9514 1404 393

Answer:

  (vii)  25/4

  (ix)  -61/6

Step-by-step explanation:

(vii) Once again, we remind you that for ax²+bx+c=0, ...

  α+β = -b/a = -(-7/2) = 7/2 = 3.5

  αβ = c/a = -3/2 = -1.5

Then the desired expression is ...

  α/(β+1) +β/(α+1) = (α² +α +β² +β)/((α+1)(β+1))

  = ((α+β)² -2αβ +(α+β))/(αβ +(α+β) +1)

  = (3.5² -2(-1.5) +3.5)/(-1.5 +3.5 +1) = 18.75/3 = 6.25 = 25/4

__

(ix) α/β +β/α = (α²+β²)/(αβ)

  = ((α+β)² -2αβ)/(αβ) = (3.5² -2(-1.5))/-1.5 = 15.25/-1.5 = -61/6

5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?

Answers

Answer:

North Route is 20 miles, and South Route is 25 miles.

Step-by-step explanation:

Let the length of the North route be represented by x and that of the South route be represented by y.

On Monday,

8x + 10y = 410

On Tuesday,

15x + 11y = 575

So that,

8x + 10y = 410 .............. 1

15x + 11y = 575 ......... 2

Using substitution method, from equation 1;

x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3

Substitute the expression for x into equation 2,

15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575

multiply through by 8,

6150 - 150y + 88y = 4600

6150 - 62y = 4600

6150 - 4600 = 62y

1550 = 62y

divide through by 62 to have,

y = 25

Substitute the value of y in equation 3

x = [tex]\frac{410 - 10y}{8}[/tex]

  = [tex]\frac{410 - 10(25)}{8}[/tex]

  = 20

x = 20

Thus, North Route is 20 miles, and South Route is 25 miles.

Terri has 5 boxes of flower seeds.She wants to give the seeds away to her friends.If she gives 1/8 of a box to each. person, How many people can she give seeds to.

Answers

Answer:

40 people

Step-by-step explanation:

simply divide 1/8 from 5 which is 40

5/ 1/8 = 40

On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis.

Answers

Answer:

Step-by-step explanation:

horizontal = x-axis

vertical = y-axis

Hope this helps!

Answer:

Horizontal: X-axis; Vertical: Y-axis

Step-by-step explanation:

What is 27 times 30 to the power of 2?(“real” question)

Answers

Answer:

24300

Step-by-step explanation:

first find the square for 30 * 30

then multiply!

what is a term called that has no variable? constant or coefficient

Answers

Answer: It is constant

Answer:

Constant.

Step-by-step explanation:

Constants are any number that does not have a variable such as x or y, so if they do not have variables, there definitely would not have coefficients. Examples of constants are 2, 5 and 67.

Coefficients are like the 2 in 2x, the 5 in 5y and the 67 in 67xy. All of these numbers have a variable.

ASAP HELP NOW FOR BRAINLIEST

Answers

Answer: 18 miles per hour

Step-by-step explanation: The equation shows the slope as 18. This means that the unit rate per hour (t = number of hours) is 18/1.

Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y=400x+1000
based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?

Answers

Answer:

x=-5/2

Step-by-step explanation

y=0

0=400x=1000 divide both sides

x=-5/2

Answer:

The Answer is D: Starting amount in his savings account

Step-by-step explanation:

The y-intercept represents the starting amount in his savings account.

x = 0 for the y-intercept.

y = 400x + 1000

y = 400(0) + 1000

y = 1000

please help me :(



Angharad sleeps for 8 hours each night, correct to the nearest 10 minutes.
The total time she sleeps in the month of November (30 nights) is T hours.
Between what limits does T lie?

Answers

Answer:

The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes

Step-by-step explanation:

The number of hours Angharad sleeps each night = 8 hours ± 10 minutes

The actual time Angharad sleeps each night = 8 hours ± 5 minutes

Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night

The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes

The number of days in the month of November = 30 nights

The maximum time in minutes Angharad sleeps in November, [tex]T_{max}[/tex] = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes

The minimum time in minutes Angharad sleeps in November, [tex]T_{min}[/tex] = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes

Therefore, we have, the limits between which T lies given as follows;

273.5 hours < T < 242.5 hours.

Answer:

235 ≤ T ≤ 245

Step-by-step explanation:

(8 hours per night x 30 nights) = 240 hours

The deviation from 8 hours per night is as much as 10 minutes per night.  

Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.

So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.

In inequality form,

235 ≤ T ≤ 245

what is 25% more than 6 feet

Answers

Answer:

7.5 I guess?

Step-by-step explanation:

??

Step-by-step explanation:

l dont understand this can you explain

Will give brainliest (Don't copy from the internet please)

You have gone out to eat with a couple of friends. One is your friend Jamal and the other is your friend Marek. At the end, you get the check, and you decide to split it in two parts. You will pay for yourself and Jamal, while Marek will pay for 1/3 of the total amount. You end up paying $16.00 for your part of the meal. Later, you can’t remember how much the total bill was, but you are sure you can figure it out.



1. Write a system of equations to represent this situation, and solve the system to find out how much the total cost of the meal was (including your part as well as Marek’s part). Show all of your work.



2. How much did Marek pay for his part of the meal? Again, show all of your work.



3. Was this a fair way to split up the check? What might be a more fair way to split up the check?

Answers

1: 48


2: 1/3 of 48 = 48/3 = 16


3:No it wasn’t because you payed an extra 16 for jamals meal.Everyone should pay 16 dollars each because that is 1/3 of the meal price

I need help!! ASAP!!

Answers

Answer:your answer is c

Step-by-step explanation:if you want to be friends we can just friend me

Simplify (4x – 6) + (5x + 1).

Answers

Answer:

4x-6+5x+1

9x-5

Step-by-step explanation:

Answer:

9x-5

Step-by-step explanation:

like terms are added together, in this case, x

Lucy has to run two errands. She starts from home and
travels 3 miles south to the post office. From the post
office, she travels 4 miles east to the gas station. Then,
from the gas station, she travels 5 miles to return home.
The entire trip forms a triangle.
What was the smallest angle made in her trip?

Answers

Answer:

My answer is at the gas station. I hope my answer helped.

When Lucy traveled to the post office and then to the gas station the angle was 90 degrees, at the post office. Then when Lucy was traveling back home from the gas station the angle was a 45 degree. So the smallest angle made during her tip was at the gas station.

Step-by-step explanation:

What is the compound interest when £1200 is invested for 8 years at a rate of 3.2% compound interest p.a.?

Answers

Answer:

the Compound interest is £1,543.90

Step-by-step explanation:

The computation of the compound interest is shown below:

As we know that

Compound interest is

Amount = Principal × (1 + rate of interest)^number of years

= £1,200 × (1 + 0.032)^8

= £1,200 × 1.286582318

=  £1,543.90

hence, the Compound interest is £1,543.90

We simply applied the above formula so that the correct value could come

And, the same is to be considered

A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?

Answers

Sorry the solution cut off but it’s y=3x-10

Answer:

A:y=3x-10

Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10

laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?

Answers

Answer:

laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?Step-by-step explanation:

Answer:

g

Step-by-step explanation:

If three cards are drawn at random from a standard deck of 52 cards, what is the probability that they will all be queens?

Answers

Answer: 1/5525

Explanation:

There are 4 queen in a standard deck.

52 cards in total.

The probability of picking a queen is 4/52.

The probability of picking a queen again is 3/51.

The probability of picking another queen is 2/50

P = 4/52 x 3/51 x 2/50
P = 1/13 x 1/17 x 1/25
P = 1/5525

Answer:

0.01809955% or about 0.018%

Step-by-step explanation:

You do the multiplication of 4/52 by 3/51 by 2/50

Identify all values in the five number summary and create a box plot for the data set below.

You can upload your 5 number summary and box plot in the last question or provide a link to your work in the text box.



14, 13, 16,16, 18, 20, 22, 19, 23, 24, 24, 26, 27, 28, 30, 32

Answers

Answer:

12345

Step-by-step explanation:

give me a brainliest plees

Answer:

you can create your box plot from the following answers

a) minimum = 13

b) first quartile = 17

c) median = 22.5

d) third quartile = 26.5

e) maximum = 32

e) interquartile range = 26.5 - 17 = 9.5

Step-by-step explanation:

minimum and maximum values are self-explanatory

first quartile is derived by getting the median of the lower half of data (the median will divide the data into the lower half and the upper half)

third quartile is derived by getting the median of the upper half of data

the median is sometimes referred to as the second quartile

box plots are all about quartiles so that you can see where 25% of the data reside, or 50% or 75%, etc

I need help finding the circled ones​

Answers

#12 is 17, #3 is 59, #8 is 28, #22 is 78, #32 is 90, #10 is 59, #21 is 26

I WILL GIVE BRAINLIEST PLEASE.
After an interview, Manahil reached her home at 1305 hrs. If she stopped at the petrol station for 10 mins and then later for 25 mins at Cocochan to pick up some lunch, exactly how long was her journey?

Answers

Answer:

well i think add everything up like add 1,305 to 25 and 10 you should hopefully get your answer not quite sure what subject you are on but hope this works.

If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?

Answers

Answer:

27

Step-by-step explanation:

If  [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex],  then the value of  [tex]f(8)[/tex] is  [tex]f(8) = \frac{-93}{4480}[/tex].

What is Quadratic Equation?

A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex]  are the real numbers.

We have

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

According to Quadratic Equation,

[tex]f(x)=ax^{2} +bx+c[/tex]

And we have,

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

So,

[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

i.e. putting [tex]x=8[/tex],

[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]

[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]

Solving the above part,

[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]

[tex]f(8) = \frac{-93}{4480}[/tex]

Hence, we can say that value of  [tex]f(8) = \frac{-93}{4480}[/tex] .

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How many choices are in the sample space of drawing a club out of a deck of 52 cards?

A. 13 choices
B. 52 choices
C. 26 choices
D. 12 choices

Answers

Answer:

A. 13

Step-by-step explanation:

what is the answer to 36 divided by 48

Answers

Answer:

0.75

Step-by-step explanation:

Answer: 36 = dividend

48 = divisor or if ur doing other way 0.75

Step-by-step explanation:

Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply.

Answers

Answer:

2,3,4 are correett

Step-by-step explanation:

1,5,6 are wroongg

Answer: 2 3 4 are your answers

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Ben bought 2 shirts for $16 each, 3 pairs of socks for $2.50 a pair, and a pair of jeans for $37.75. If the sales tax rate is 6.5%, how much did he pay for his items, including tax?$127.46$92.81$82.27$59.91 Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.A(-6, 9), B(2, 1); Ratio 5 to 3 What is the ordered pair for point B? Write three numbers greater than 20 that have 9 as a factor Part 1 of 1 -Question 8 of 1010 PointsWhich of the following is not a heart valve presented in the lesson?A. Semilunar valveB. Bicuspid valveC. Tricuspid valveD. Mitral valveReset SelectionCopyright 2010-2020 edtel, LLC. All rights reserved. Portions of this software are copyrighted by other parties as described in the Acknowledgments screen You plan to make a series of deposits in an interest-bearing account. You will deposit $1,000 today, $2,000 in 2 years, and $8,000 in 5 years. If you withdraw $3,000 in 3 years and $5,000 in 7 years, how much will you have after eight years if the interest rate is 9%? 2. Which of these is a good example of a word that shows youthat astatement is a fact? *2 pointsNeverOnlyShouldConfirms Pls anserw the pic attached below SOMEONE PLZ HELP ME WIT THIS QUESTION PLEASE ANSWER I WILL MARK YOU BRAINLIEST!!! In your own words, explain the benefits and limitations of using poison gas inWWI. Define curvature and state it's formula Predict the output int ma3, n = 5, p=4if(m==n&&n!=p){System.out.println (m*n) ;system.out.println(n%p);}if (m!=n) " (n==p)System, out println (m+n)System.out printen (m-n))} My head is hurting can you help me Its 16 points re-word this We have boasted the protection of Great Britain without considering that her motive was interest, not attachment; and that she did not protect us from our enemies on our account, but from her enemies on her own account Find the probability of getting the color crewmate and the hat. Determine the probability for each question and write the code in the box below. The question is below Simplify each expression by combining like terms. 7a - 6 + 8a where does the line cross in the equation y=2x=12 At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72F to 400F over a 10-minute period. The oven remained at 400F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?