Two sailboats are traveling along the same path away
from a dock, beginning from different locations at the
same time. John's boat begins 20 miles from the dock and
is 55 miles from the dock after 5 hours. The distance of
Roberta's boat from the dock is represented by the
function y= 6x + 10, 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?
O A. Roberta's boat was farther from the dock at the beginning, but
John's boat trzeled more quickly
B. John's boat was farther from the dock at the beginning, and it
traveled more quickly
C. Roberta's boat was farther from the dock at the beginning and it
traveled more quickly.
D. John's boat was farther from the dock at the beginning, but
Roberta's boat traveled more quickly.

Answers

Answer 1

Answer:

B. John's boat was farther from the dock at the beginning, and it

traveled more quickly

Step-by-step explanation:

l did the test

Answer 2

The boat was farther from the dock at the beginning, and which traveled more quickly is option is B John's boat was farther from the dock at the beginning and it traveled more quickly

What is distance?

Distance is a numerical measurement of how far apart objects or points

What is Speed?

The speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time

At beginning John's boat was 20 miles from dock

After 5 hours its was 55 miles form the dock

Speed of the boat = Distance / Time

Speed = [tex]\frac{55-20}{5}[/tex]= 7 miles per hour

Robert boat is represented by the function

y=6x+10

at starting x=0

y = 10 miles away from the dock

After 5 hours x=5

y = 6×5+10

y=40 miles away from the dock

Speed of the Robert's boat = [tex]\frac{40-10}{5}[/tex]

Speed = 6 miles per hour

Hence, The boat was farther from the dock at the beginning, and which traveled more quickly is option is B John's boat was farther from the dock at the beginning and it traveled more quickly

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Related Questions

Solve, then enter one of the vales of your solutions below. x^2 + 25 =169

Answers

Answer:

12

Step-by-step explanation:

-25 from both side

x^2= 144

then you square root it

x= 12

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{x^2 + 25 = 169}[/tex]

[tex]\text{Subtract 25 to both sides}\downarrow[/tex]

[tex]\mathsf{x^2 + 25 - 25 = 169 - 25}[/tex]

[tex]\text{Simplify it}\downarrow[/tex]

[tex]\mathsf{x^2 = 169 - 25}[/tex]

[tex]\mathsf{x^2 = 144}[/tex]

[tex]\text{Take the square root of the numbers (including the mystery number (x))}\downarrow[/tex]

[tex]\mathsf{x = \pm \sqrt{144}}[/tex]

[tex]\text{So, that means that}\downarrow[/tex]

[tex]\mathsf{x = 12}[/tex]

[tex]\text{Or even:}[/tex] [tex]\mathsf{x = -12}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{ x =\ }\frak{12}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Simplify the expression.

5/2(6x - 7) + 4/3(2 + 9x)

Answers

Answer: 27x - 89/6

Step-by-step explanation:

Answer:

30-35/2+36+8/3

NEED HELP ASAP(mathematics)

Answers

Answer:

x+4

Step-by-step explanation:

What is the value of x in this triangle?

A.0.58°
B.o 28.89°
C.o 56.51°
D.o 33.49°

Answers

Answer:

D. 33.49

Step-by-step explanation:

The value of x is 33.49°.

What is a right triangle?

A triangle with one of its angles measuring 90° is known as a right triangle.

Given a right triangle with a hypotenuse of length 58 and a leg of length 32.

Use the sine rule:

(sin90°) / 58 = (sinx) / 32

sinx = 32/58

x = sin⁻¹ ( 32/58)

x = 33.49°

Hence, the value of x is 33.49°.

Learn more about right triangles here:

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what is two times 2+5 times 4​

Answers

Answer:

56 hope this helps!

Step-by-step explanation:

Answer:

I think your answer is 24.  It's vague how you are saying it.

(Listen to the person above my answer it's probably right.)

Which pair of angles are alternate exterior angles?

Answers

Answer:

B) ∠2 and ∠11

Answer:

b

Step-by-step explanation:

HELP. NEED ANSWERS!!

Answers

Answer:

d i thin;kStep-by-step explanation:

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3 times 5286 what is the products

Answers

Answer:

15858 is the answer

Step-by-step explanation:

No explanation just do multiplication

What's the answer to this problem 2x + 1=11​

Answers

Answer:

5

Step-by-step explanation:

first u subtract the 1 from both sides and leaves u with 2x=10 then divide on both sides and you get 5

Step-by-step explanation:

2x+2=11

2x=11-2

2x=9

divide both sides by 2

therefore the answer is 4.5

What is the value of x ?

Answers

Answer:

61°

Step-by-step explanation:

For parellel lines cut by a transversal corresponding angles are equal.

HELLP ASAP

1. Kendra gets a paycheck of $300 after 5 days of work. At this rate, how much does she get paid for working 24 days?


A. $1,440

B. $4,000

C. $1,600

D. $1,840

2. Tim installs 50 square feet of his floor in 45 minutes. At this rate, how long does it take him to install 495 square feet?


A. 545 minutes

B. 2,250 minutes

C. 445.5 minutes

D. 22,275 minutes

3. Taylin buys 5 ounces of tea leaves for $2.35. At this rate, how much money does she need to buy 12 ounces of tea leaves?


A. $24.70

B. $13

c. $5.64

D. $60

Answers

B, D, A
No problem make sure to heart my comment Helps

Which graph has a solution set in Quadrant III?
QI
Qll
QIII
QIV

Answers

Answer:

3rd I think

Step-by-step explanation:

Answer:

QIII

Step-by-step explanation:

the solutions is where both shaded regions overlap

the top right square is quadrant I

the top left square is quadrant II

the bottom left square is quadrant III

and the bottom right square is quadrant IV

Find the measure of exterior angle A.​

Answers

Answer:

40* degress angled

Step-by-step explanation:

Answer:

I believe the answer is a 40 degree angle

Step-by-step explanation:

What is 3 miles per minute expressed in feet per minute? Recall that 1 mile is 5,280 feet.

Answers

Answer: 15,840 Ft.

Step-by-step explanation: Brainliest, Please and Thank you :)

convert to unlike fractions

Answers

I don’t think the picture uploaded. We can’t see it.

Tyler gather data and notices that the number of crimes in Glendale and the number of students enrolled in schools have a strong positive correlation tell a proposes closing down schools as a solution to reduce or illuminate crime in Glendale what do you recommend to the Glendale city Council

Answers

Answer:

The fact that the number of crimes and the population of students is positively correlated, means that as the total number of students increases, so does the total number of crimes.

The conclusion that closing schools will decrease crime is absurd. First of all, the variables might be totally unrelated, e.g. places with large number of students are places that have high populations. Higher crime rate are generally linked to neighborhoods or cities with high populations.

The idea of closing schools to fight crime is foolish because it will result in the opposite. Generally, students who go to school tend to be less engaged in criminal activities. The real problem here is that you should try to increase the number of students that attend schools in Glendale, not vice versa.

will has a chain that is 3/4 of a yard long. He wants to divide it into lengths of 1/3 yards. How many sections of this length chain will he have?

Answers

Answer:

3

Step-by-step explanation:

1/3 + 1/3 + 1/3 = 1

Hope this helps

PLZZ MARK BRAINLIEST

Answer:

He will have 2 section of (1/3) length

Step-by-step explanation:

Number of sections = Length of  the chain ÷ length of one section

                                 = (3/4) ÷ (1/3)

                                 [tex]= \frac{3}{4}* \frac{3}{1}\\\\= \frac{9}{4}\\\\=2 \frac{1}{4}[/tex]

He will have 2 sections and (1/4) part of the chains remains

Point A is the incenter of triangle DEF. What is the length of NA?
A. 2 units
B. 9 units
C. 11 units
D. 14 units

Answers

Answer: B

Step-by-step explanation: Got a 100 on the test

PLEASE HELP ASAP!!!

Answers

Answer:

H and c

Step-by-step explanation:

Use the graph to identify the slope and y-intercept. Can you help me identify them?.

Answers

Answer:

y intercept is (0,4) and slope is -2

Step-by-step explanation:

y intercept is (0,4) you can see where it intercepts.

The slope is rise/run so 4/-2 so -2

What is the first step in solving the equation 4.2 y minus 5.2 = 18.5?
Add 5.2 to each side of the equation.
Subtract 5.2 from each side of the equation.
Multiply each side of the equation by 4.2.
Divide each side of the equation by 5.2.

Answers

Answer: The first step is to add 5.2 to both sides.

Answer:

add 5.2 to each side of the equation.

Step-by-step explanation:

i did it on edge2020

if a board of 8 3/4 ft long is cut into 7 equal parts how long is each part​

Answers

Answer: 1 1/4 ft each part

Step-by-step explanation: 8 3/4 divided by 7 is 1 1/4

(8.75 / 7 = 1.25)

1 1 / 4 ft each apart

8 3/4 divided by 7 = 1 1/4

please please help me​

Answers

Answer:

A

Step-by-step explanation:

e.g 10×1 = 10

10 + 8 = 18

10 × 2 = 20

20 + 8 = 28

Answer:

I believe the answer is A

Step-by-step explanation:

slope for this equation is  [tex]m = \frac{y2-y1}{x2-x1}[/tex]

so picking some coordinates (1,18) and (1.5,23)

=  [tex]\frac{23-18}{1.5-1}[/tex]

= 10

slope is 10 which is closes to A

i think of a number add 3 to it and multiply the result by 7.
write the follwing algebraci\lly using the unknown numbera as x

Answers

Answer:

x+3(7)=the answer

21=x

Step-by-step explanation:

Let x be the number you choose. Then add 3 to this number.

You have x + 3.

Now multiply 7 to this.

So you should have 7(x+3) as your algebraic expression.

whats the equation for a line thats perpendicular to 6x-2y=8 when it passes through (6,-5)

( i hope i wrote that right sorry)

Answers

Answer:

Equation of required line is: [tex]\mathbf{x+3y=-9 }[/tex]

Step-by-step explanation:

We need to find equation for a line that's perpendicular to [tex]6x-2y=8[/tex] when it passes through (6,-5)

We will use the slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Finding Slope m:

When two lines are perpendicular there slopes are [tex]m=-\frac{1}{m}[/tex]

Finding slope of given equation first: [tex]6x-2y=8[/tex]

Writing in slope-intercept form:

[tex]6x-2y=8\\-2y=-6x+8\\y=\frac{-6x}{-2}+\frac{8}{-2}\\y=3x-4[/tex]

Comparing it with slope intercept form: [tex]y=mx+b[/tex] , m= 3

So, slope of given equation is 3

Now, the slope of required equation will be [tex]m=-\frac{1}{m}[/tex]

So, Slope m=-1/3

Finding y-intercept

Using slope m=-1/3 and point (6,-5) we can find y-intercept

[tex]y=mx+b\\-5=\frac{-1}{3}(6)+b\\-5=-2+b\\b=-5+2\\b=-3[/tex]

So, y-intercept is b=-3

Now, finding the equation of required line having Slope m=-1/3 and y-intercept b= -3

[tex]y=mx+b\\y=-\frac{1}{3}x-3[/tex]

Writing in standard form:

[tex]y=-\frac{1}{3}x-3\\y=\frac{-x-9}{3}\\3y=-x-9\\x+3y=-9[/tex]

So, equation of required line is: [tex]\mathbf{x+3y=-9 }[/tex]

Starts from episode 50 or a 500 episode show.
24 minutes per episode
12 hours of watch time
How many episodes can you watch A DAY.
(Freebie if you get the right answer :)

Answers

Answer:

50 episodes

Step-by-step explanation:

im just big brain

Answer:

60 i just goggles it and thats the answer

Solve z = -10x, for x.

Answers

Answer:

B

Step-by-step explanation:

z = -10x

z + 10 = -10x + 10 = x

Answer: D

If z = -10x, we can divide both sides of the equation by -10 to get z/(-10) = x. This is the same as [tex]x=-\frac{z}{10}[/tex].

Use the figure below to complete Parts A and B.
Part A: What is the value of x?


4


12


2


31

Answers

Help me! I’ll mark you brainly!ikzkkkdidjkknujjdididiidiwisisiisudusisisusuususususjsusjsjsjjsuusususususuususususuusususuusususidkdkkdiidididisklslsdksiisusskksjajjjjsjsjjjjjjjjjkkkkjjskkssiisiusiwiisis

if it takes 5 mintutes to fill 7 cups of soda at the fountain , how many minutes would it take to fill 1.75 cups of soda ? pls help explanation.

Answers

Answer:

1.25 minutes

Step-by-step explanation:

5/7=x/1.75

8.75=7x

x=1.25 minutes

The online price for a box of hair clips is $2.60. For any number of boxes purchased, the cost of shipping is $12. The equation c=2.60b + 12 represents the total cost, c, of ordering b boxes of hair clips. If Mrs. Hilton orders 32 boxes of hair clips, what is the total cost? (6.EE.C.9)

Answers

Answer:

$43.2

Step-by-step explanation:

Step one:

given data

the total cost function is

c=2.60b + 12

Step two:

Required is c, when b= 12

substitute b=12 we have

c=2.60(12) + 12

c=31.2+ 12

c=43.2

the total cost = $43.2

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