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.

Learn more about the linear equation here:

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Related Questions

determine weather the line is parallel perpendicular or neither


4x – 3y = 8 and 4y + 3x= 12

Answers

They lines are Perpendicular

In a shopping district with a variety of stores, 9 of the stores sell jewelry. The jewelry stores make up only 3% of the shopping district. How many stores are in the shopping district?

Answers

Answer:

When I did this in middle school, the teacher made it unnecessarily difficult     (-_-), so here`s my own method for you.

Finding 1%:

If 9 is 3%, then 3 is 1%. This method only works when the sides are divisible.

You can use the 1% to find the total, which is 100%.

3 stores (or 1%) x 100 = 300.

There are 300 stores in the shopping district.

Hope that helps

Anan is researching hummingbirds, one of the smallest birds. He measures Hummingbird A 2 3/4 tall while hummingbird B measures 2 4/10 tall. How much larger is hummingbird A than humming bird B?

Answers

Answer:

3.5/10 taller

Step-by-step explanation:

3/4 is 0.75 and 4/10 is 0.40

0.75-0.40=0.35

0.35 can also be written as 3.5/10 or 35/100

3v - 10 = -14 what is the answer

Answers

Answer:

v= -3/4

Step-by-step explanation:

i think that's the answer djxndnxnnx

Answer:

3v=-14 +10

3v=-4

v= - 4/3

Please mark as brainliest

The answer to this question

Answers

Answer:

divide 9 and 21

Step-by-step explanation:

if you divide 9 and 21 u will get ur answer

convert -0.0647 to Scientific Notation

Answers

Answer:

6.47  x  10^-2

Step-by-step explanation:

Answer: -6.47 × 10^-2

Step-by-step explanation:

move the decimal 2 places to the right

A large multiplex movie house has many theaters. The largest theater has 50 rows. There are 12 seats in the first row. Each row has two seats more than the previous row. How many total seats are there in this theater?

Answers

Answer:

a(50) = a(1)+ (50-1)d = 20 + 34*2 = 20+78 = 98

Ans: S(50) = (n/2)(a(1)+a(50)) = (50/2)(20+98) = 50*59 = 1365

Step-by-step explanation:

anyone help please will give brainliest ​

Answers

9514 1404 393

Answer:

  7.  y = f(x +2) -7

  8.  y = -f(x -5)

  9.  y = f(-x) +3

Step-by-step explanation:

The general transformation can be written ...

  y = a·f(b·(x -c)) +d

'a' is the vertical expansion factor. A negative value means the graph is reflected over the x-axis.

'b' is the horizontal compression factor. A negative value means the graph is reflected over the y-axis.

'c' is the number of units of right-shift.

'd' is the number of units of up-shift.

__

7. 2 left and 7 down means (c, d) = (-2, -7), so the transformed function is ...

  y = f(x +2) -7

__

8. reflected over x and 5 right means (a, c) = (-1, 5), so the transformed function is ...

  y = -f(x -5)

__

9. reflected over y and up 3 means (b, d) = (-1, 3), so the transformed function is ...

  y = f(-x) +3

_____

The graph shows an asymmetrical function that makes it possible to tell what the transformations are. The original is dashed orange. The various y-values correspond to the problem numbers. You can see that the transformations match the problem statements.

If a baseball travels at 90 mi/h, how many seconds does it take to travel 60 ft.?

Answers

Answer:

0.458 seconds

Step-by-step explanation:

dont get mad when its wrong

0.458 seconds

You already know that the ball travels at 90 mi/hr. 60.5 1/475200 = 0.00012732 hours. This is still a small number so express it in seconds. 0.0076389 minutes = 60 0.0076389 = 0.458 seconds. (this from google btw)

SO 2 chairs are left out. If there are 4781 chairs, find the
The cost of levelling a square lawn at 32 per sq. metre is 3 6272. Find its one side. Also find the cost of
fencing it at 3 per meter. ​

Answers

Answer:

u need 2321 chairs

Step-by-step explanation:

there u go

A business held a job fair for prospective employees. The number of women attending was 10 more than three times the number of men attending. A total of 180 people attended the meeting. Which system of equations could be used to find w, the number of women, and m, the number of men, at this meeting?
1. w = m + 10
w + m = 180

2. w = m + 10, , w + m = 180,
3w + m = 10

3. w + m = 180
3w + m = 10, , w + m = 180,

4. w = 3m + 10
w + m = 180

Answers

Answer:

Step-by-step explanation:

Option 4 is the correct answer

which of these expressions represent a 15% tip on a $20 meal? which represent the total bill?

Answers

Answer:

3

Step-by-step explanation:

20x0.15

= 3

Answer:

Well I didn't understand this question to well, but I think 15% of a $20 meal is ($3.00). OR

20x0.15

= 3

Step-by-step explanation:

I hope this helped! :)

A boat traveled 300 miles in 15 hours. What rate did the boat travel in miles
per hour?
1. 2
2. 20
3. 30
4. 285

Answers

it would be option 2. 20 miles per hour

Answer:

2.20 ms

Step-by-step explanation:

distance divided by time

300÷15=20

Here is a list of numbers:
20, 8, 6, 11, 3, 15, 11 ,20 ,12 ,13
State the median.

Answers

Answer: 18

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

1. Arrange the numbers from least to greatest.

3,6,8,11,11, 12,13,15, 20

2. Start from the two ends and cross them off until you're left with what's in the middle.

6,8,11,11,12,13,15

8,11,11,12,13

11,11,12

11

3. The median is 11 because that is the number you are left with.

Introduction to nonlinear models
Complete the table below.

Answers

Answer:

The table will be:

x            y = 2x²         y = 2ˣ

0            0                   1

1             2                  2

2             8                  4

Step-by-step explanation:

Given the non-linear  equations

y = 2x²

y = 2ˣ

When x = 0

y = 2x²                              

y = 2(0)² =0

y = 2ˣ

y = 2⁰ = 1

When x = 1

y = 2x²                              

y = 2(1)² = 2

y = 2ˣ

y = 2¹ = 2

When x = 2

y = 2x²                              

y = 2(2)² = 8

y = 2ˣ

y = 2² = 4

Thus, the table will be:

x            y = 2x²         y = 2ˣ

0            0                   1

1             2                  2

2             8                  4

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality. \,<\sqrt{32}<\,< 32 ​

Answers

Answer:

Could you retype the equation so it isn't jankey?!

Step-by-step explanation:

Which matrix represents the total expected?
O A.
[20
24
20
8
2201
264
220
88
B.
200
240
200
80
E.
[240]
288
240
96
C.
(210)
250
210
90

Answers

Answer: the answer is B

Step-by-step explanation:

You add the A,B,C numbers together for the soda for example,

Cola: 70(A) + 30(B) + 100(C) = 200

Now you just continue that for the other sodas hope this helps :)

On a coordinate plane, trapezoid A B C D has points (negative 5, negative 2), (negative 1, 2), (0, negative 1), (negative 2, negative 3).
Trapezoid ABCD is graphed in a coordinate plane.

What is the area of the trapezoid?

10 square units
12 square units
20 square units
24 square units

Answers

answer on 12 square units

Answer:

B

Step-by-step explanation:

HELP HELP HELP MEE Which point is located at (4, –2)?
A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

if you look at Ait showa that the dot is at 4 and goes down to -2

If you ride your bike around the block that is 20 meters returning to the exact point where you started your displacement is___m?

A 0m
B20m

Answers

A 0M your displacement is where you end up

Triangles practice, need help.

Answers

Y is 15 and x is 14 mark me as brainless
x = 13, assuming they are the same length.
Using the pythagorean Theorem formula (a^2 + b^2 + c^2) Plug in A and B (13, and 13).
(13)^2 + (13)^2 = c^2
13 • 13 + 13 • 13 = c^2
169 + 169 = c^2
v/338 = v/c^2 (square root them both)
Then you can have your answer for y, hope this helps

Why is it so hard for people to learn math?

Answers

Answer:

I don't know, I kind of wonder the same thing sometimes. But everyone understands things at a different rate, so that's why I'm here helping people by answering their questions and doing my best to explain how I got there.

thank you for the free points though :)

Answer:

because they are over thinking easy thing and getting stressed out.

Step-by-step explanation:

this is what happened to me

Are these two triangles congruent?
Yes
No
Not enough information?

Answers

no they are not congruent

Solve 2x+3y=6 for y

Answers listed:
y=-2/3x+2
y=2/3x-2
y=2x-3
y=2x+6

Answers

2x + 3y = 6 <=>

3y = -2x + 6 <=>

y = -2/3x + 6/3 <=>

y = -2/3x + 2

The answer is the first one.
I think It’s 2/3 x -2

Tom drove at a constant speed of 50 miles per hour for 2.5 hours.
Albert drove at a constant speed of 65 miles per hour for 2 hours.
Who drove farther? How many more total miles did he drive?
Use the equation d =r xt to solve.
drove farther. He drove
more total miles.

Answers

Answer:

Albert by 5 more miles

Step-by-step explanation:

Tom:  50 * 2.5 = 125 miles

Albert:  65 * 2 = 130 miles

Albert drove for more miles

130-125 = 5 miles

Albert drove for 5 more miles

The state Capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella's scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella's model?​

Answers

30 inches because it’s 30 inches

420+69+911+1080=? Im slow help

Answers

Answer:

Step-by-step explanation:

420 + 69 + 911+ 1080

489 + 911 + 1080

1400 + 1080

2480

Use the drop-down menus to complete the solution to the equation cos(pie/2-x)=square root 3/2 for all possible values of x on the interval [0,2pie].

Answers

Answer:

0

1

sin

3

3

Step-by-step explanation:

These are the answers in order from every blank

The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

As per the given trigonometric equation,

cos(x)cosπ/2 + sin(x)sinπ/2 = √3/2

Since, cosπ/2 = 0 and sinπ/2 = 1

cos(x)(0)+ sin(x)(1) = √3/2

sinx = √3/2

sinx = sin π/3 = sin 2π/3.

Hence "The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3".

For more information about the trigonometric function,

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Betsy works from 6:00 AM to 12:00 PM, takes an unpaid lunch break from 12:00 PM to 1:00pm, then works from 1:00 PM to 3:30 PM. How many hours did Betsy work?

Answers

Answer:

9 hours and 30 mins

Step-by-step explanation:

Betsy works for about 9 hours 30 minutes daily.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Calculating time of Betsy total work for getting paid :

Betsy Working from 6:00 AM to 12:00 PM =  6 hour

Betsy takes an unpaid lunch break from 12:00 PM to 1:00pm = 1 hour

Betsy Working from  1:00 PM to 3:30 PM =  2.5 hour

Now adding-up all the time = 6 + 1 +  2.5 hour = 9.5 hours or 9 hours 30 minutes.

Therefore,  Betsy works for about 9 hours 30 minutes daily.

Read more about mathematics operations at:

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6 Rebecca burns an average of 210 calories in 35 minutes of ballet.
Part A
How many calories does Rebecca burn per minute?
Show your work.
Rebecca burns 6 calories per minute.
Part B
Which equation models howmany calories, c, Rebecca burns in m minutes?
A
B
210c=
35/m
35m
C
DC6m
Part C
Does Rebecca burn more than 400 calories per hour? Explain.
c
6cm

Answers

Answer:

c=6m because if you divide it normally with no letters it will be she burns 6 calories per minute

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