Reagan and Nathan are 40 miles apart on a bike trail when they start pedaling toward each other on their b bicycles. Reagan rides at a constant speed of 8 miles per hour, and Nathan rides a constant speed of 10 miles per hour. How long does it take until Reagan and Nathan meet?

Answers

Answer 1

Answer:

They meet in 2.22 hours.

Step-by-step explanation:

We can find the time at which Reagan and Nathan meet by equaling the time as follows:

[tex] v_{R} = \frac{x_{R}}{t} [/tex]  

[tex] x_{R} = v_{R}t [/tex]    (1)      

[tex] v_{N} = \frac{x_{N}}{t} [/tex]  

[tex] x_{N} = v_{N}t [/tex]   (2)

Where R is for Reagan and N for Nathan.

Knowing that:

[tex] x_{R} + x_{N} = 40 mi [/tex]

By adding equations (1) and (2) we have:

[tex] x_{R} + x_{N} = v_{R}t + v_{N}t [/tex]

[tex] t = \frac{x_{R} + x_{N}}{|v_{R}| + |v_{N}|} = \frac{40 mi}{8 mi/h + 10 mi/h} = 2.22 h [/tex]

Therefore, they meet in 2.22 hours.        

I hope it helps you!                                                                                                                                                                                                 

Answer 2

Answer:

2.22

Step-by-step explanation:

poop


Related Questions

What is the range of the function
f(x) = = 3x + 2 in the domain -2

Answers

Answer:

The range is:

{-4, 1, 2, 5, 8}

Step-by-step explanation:

Given the function

[tex]f(x)=3x+2[/tex]

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

As the domain interval -2 ≤ x ≤ 2

i.e. the values in the domain = {-2, -1, 0, 1, 2}

We also know that the range of a function is the set of values of the dependent variable for which a function is defined.

As the domain interval -2 ≤ x ≤ 2

Putting all the x-values in the domain interval in the function

so

putting x=-2 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(-2)=3(-2)+2=-6+2=-4[/tex]

putting x=-1 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(-1)=3(-1)+2=-3+2=1[/tex]

putting x=0 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(0)=3(0)+2=0+2=2[/tex]

putting x=1 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(1)=3(1)+2=3+2=5[/tex]

putting x=2 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(2)=3(2)+2=6+2=8[/tex]

Thus, when we put the domain values, the corresponding range values are:

x           y

-2         -4

-1           1

0           2

1             5

2            8

Therefore, the range is:

{-4, 1, 2, 5, 8}

Which statement is true about a shape and its dilation? A.The corresponding angles of a shape and its dilation are congruent. B.The corresponding angles of a shape and its dilation are not congruent. C.The side lengths of a dilation are always smaller than the corresponding side lengths of the original shape. D.The corresponding side lengths of a shape and its dilation are congruent.

Answers

Answer:

A.The corresponding angles of a shape and its dilation are congruent.

Step-by-step explanation:

Dilation is a type of rigid transformation in which the dimension of a shape is either increased or decreased to produce its image. It involves a change in the dimensions of the shape by a required factor. In the process, the side lengths of the image are different to the original lengths. But the angles are not affected.

Thus, the respective angles of the given shape and its image are the same.

The appropriate answer to the given question is A.

20 POINTS the perimeter of a semicircular disc whose diameter is 28 cm.

Answers

87.96 cm

I hope this helped out! Have a nice day :)

Answer:

87.96 cm

Step-by-step explanation:

I had this answer up but it got deleted for sum reason....

Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points)

Number of years 1 2 3
Option 1 (amount in dollars) 1100,1210,1331
Option 2 (amount in dollars) 1100 ,1200,1300

Answers

Answer:

Option 1:

f(n) = 1000(1.1)ⁿ

Option 2:

1000 + 100n

Simplify the expression. Give your answer using only positive exponents. Please look at the screenshot!

Answers

Answer:

2\((x^5)(3))

Step-by-step explanation:

Solve for x: 3 - (2x - 5) <-4(x + 2)

Answers

Answer:

x < -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3 - (2x - 5) < -4(x + 2)

Step 2: Solve for x

Distribute:                         3 - 2x + 5 < -4x - 8Combine like terms:         -2x + 8 < -4x - 8Add 4x on both sides:     2x + 8 < -8Isolate x term:                  2x < -16Isolate x:                           x < -8

Here we see that any value x smaller than -8 would work as a solution in the inequality.

⚠️How do I solve this in descending order⚠️

2g+40g

Side info: so I know the answer is technically 42g but I also know that I have to do this in descending order so just need help with that check notifications I might ⚠️ comment ⚠️

Answers

rational. There’s nothing further that you can do with this problem

Please help me!!!!!! I really neeeeeeed

Answers

Answer:

A-(x+4,y-5)

B- move 1 unit left and 7 units down

Step-by-step explanation:

A- 4 units right is x so

(x+4,y__)

5 units down is y so

(x+4,y-5)

B- move 1 unit left and 7 units down

because (x-1,y__) is going left because of the subtraction sign and its the x-coordinate, and (x-1,y-7) is down because its a Y-coordinate and sub so its going down.

TIP- Going left/down is always subtract/negative going right/up is positive/addition.

what is

-5x-y=21
y=4x+6​

Answers

Answer:

(x,y)= (-3,-6)

Step-by-step explanation:

Answer:

Substitution substitution

Step-by-step explanation:

(-3,-6)

or

x= -3 y=-6

Find the value of x in the diagram below:

Answers

Answer:

X = -4

Step-by-step explanation:

Because both sides are equals, then:

X-3 = 2X-7

2X-X = -7+3

X = -4

Please help asap!! I will mark you as brainliest :)

Answers

B is the correct answer.

HELP PLEASE!!! I NEED HELP ASAP!!!

Answers

Answer:

d

Step-by-step explanation:

help me No wrong answer

Answers

9x - 9
3x - 3
x^3 - 1

On a road map, the distance between 2 cities is 2.5 inches. The map scale is 1 inch:30 miles. What is the actual distance between the cities?

Answers

Answer:

75

Step-by-step explanation: 2 times 30 is 60  30 divide by .5 is eqaul to 15 becasue it is half

and 60+15=75

Answer:

75 is the anwer

Find the solution to the following system of equations using the addition method.

2x - y = 5

x + y = 13

(5, 8)
(9, 4)
(6, 7)

Answers

Answer:

Step-by-step explanation:

2x - y = 5

x + y = 13

3x = 18

x = 6

6 + y = 13

y = 7

(6, 7)

Answer:

the answer is (6,7)

Step-by-step explanation:

plz help i’m not smart

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C: For sure

Step-by-step explanation:

!100 POINTS!

The graph of g(x) is transformed from its parent function, f). Apply concepts involved in determining the key features of
a rational function to determine the domain and range of the function, g(x)=
1/X-6
A. What is the domain of the function, g(x)?
B. What is the range of the function, g(x)?

Answers

Do you want the explanation?

Help me please!! Answer question #21 ( the middle question)

Answers

Answer:

i dont know sorry

Step-by-step explanation:

i  dont understand i just watch anime all day

Answer:

Free points? idek sorry.

Step-by-step explanation:

which orders paid is a solution is the equation y= 4x + 9

Answers

Note: you did not add the answer options, so I am solving this question generally to solve your query, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]y= 4x + 9[/tex]

All we need is to find any random value of 'x' and then solve for 'y'.

For example, putting x=2

[tex]y= 4x + 9[/tex]

[tex]y=4(2)+9[/tex]

[tex]y=8+9[/tex]

[tex]y=17[/tex]

Thus, (2, 17) is one of the many ordered pairs solutions of the equation.

Similarly, putting x=3

[tex]y= 4x + 9[/tex]

[tex]y=4(3)+9[/tex]

[tex]y=12+9[/tex]

[tex]y=21[/tex]

Thus, (3, 21) is one of the many ordered pairs solutions of the equation.

Pls help!!! Fastttttttttttttttt

Answers

Answer:

a

Step-by-step explanation:

that shows

0+4.5=4.5-2.5=2

Its A. None of the other ones look like its from 4.5 - 2.5.

Find the equation of the line in slope intercept form that is perpendicular to the line y= 2x -3 and that contains the point (1,-2)

Answers

Answer:

[tex]y=-\frac{1}{2} x-\frac{3}{2}[/tex]

Step-by-step explanation:

anyone wanna help me out please? I will be givin out brainliest!! Thanks

Answers

Answer:

62

Step-by-step explanation:

please mark me as brainliest

solve - 3-5 = 15?
Devide each by -3-5
Multiply each by -3-5
multiply each side by -3-5

Answers

Answer:

OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOooooooooooooOOOOOOOOOOOOOOOOOOOOOFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffFFFFFFFFFFFFFFfffffffffffff

Step-by-step explanation:

You did the same thing to me

-2²-3(-2)+7

I think it’s 17 but idk

Answers

Answer:

9

−2^2−(3)(−2)+7

=−4−(3)(−2)+7

=−4−(−6)+7

=2+7

=9

New car is purchased for $20,700 the value of the car depreciates at 11% per year what will the value of the car be after 11 years

Answers

Answer:

18423

Step-by-step explanation: 18423 (I think this is correct. Sorry if this didn't help.)

Tom reads 42 chapters of a book in 6 hours.
What is his rate in chapters per hour?

Answers

7 books per hour, 42/6 is 7

please show work
Write the point-slope form of the equation of the line through the given points.
3) through: (4,5) and (0,2)

Answers

Answer:

y - 5 = 3/4 (x - 4) so A

Step-by-step explanation:

It's would be A because the original equation is Y - Y1 = m (X - X1)

Since a coordinate is (x, y) the Y1 = 5 and the X1 = 4

If you plug those in the equation, it will give you y - 5 = m(x - 4)

Now, to figure out the slope, you have to know how you get can to the points (4, 5) from (0, 2). Slope is change in y / change in x. so to get from 0 to 4 for x, you add 4, and 2 to 5 for y, you add 3. Meaning the slope is 3/4. The m in the equation is the slope, so if you plugin the slope, the equation would be

y - 5 = 3/4 (x - 4)

Timed math PLEASE HELP 8th GRADE HELPPPPPPP

Answers

Answer:

John's and Amber's wages are proportional to time. John's unit rate it $9 per hour. Amber's unit rate is $8 per hour

Step-by-step explanation:

The table(johns) shows this because he earns $9 more for every extra hour he works. this makes the unit rate $9 an hour.

The graph(ambers) shows that her pay increases at a steady rate, hitting a multiple of 8 every hour. This makes the unit rate $8 an hour.

Kevin graphed the inequality x > 1.

A number line going from negative 3 to positive 5. A closed circle is at 1. Everything to the right of the circle is shaded.

What mistake did Kevin make? Explain.

.

Answers

Answer:

Sample: Kevin should have used an open circle on 1, not a closed circle. The closed circle means that 1 is included in the solution set, but the inequality is x > 1, so 1 is not part of the solution.

Mistake done by Kelvin is he  used closed circle at 1 where inequality x > 1 which excludes 1.

What is open and closed circles?

" Closed circle represents that the value is included in the given range while that of open circle represents given number is not included."

According to the question,

Graph of inequality x > 1 represents all values greater 1 excluding 1.

Number line represents -3 to 5.

A closed circle at 1 means 1 is included.

As per the condition  of inequality x > 1 , 1 is excluded while in closed circle 1 is included both are contradictory conditions.

Hence, mistake done by Kelvin is he  used closed circle at 1 where inequality x > 1 which excludes 1.

Learn more about open and closed circles here

https://brainly.com/question/12803998

#SPJ2

A line contains two distinct points, C and D. Select each correct statement,
Points C and D determine one unique line,
There are infinitely many points between points C and D.
The distance from C to D is equal to the distance from D to C.
O Any line segment that contains point C must also contain point D.

Answers

Answer:

We have a line that passes through points C and D.

a) Points C and D determine one unique line

This is true, there is only one line that passes through a given pair of points, then we can call this line as  "Line CD".

b) There are infinitely many points between points C and D.

This is also true, if we define the points with real numbers in R^2, we will have a dense set, which means that between C and D we can find infinite points.

c) The distance from C to D is equal to the distance from D to C.

Also true, the distance between two points C = (cx, cy) and D = (dx, dy) is defined as:

D = √( (cx - dx)^2 + (cy - dy)^2)

And because we have squares, this will be exactly the same as:

D = √( (dx - cx)^2 + (dy - cy)^2)

Then the distance from C to D, is exactly the same as the distanco from D to C.

d) Any line segment that contains point C must also contain point D.

This is false, we can define infinite segments where the endpoint is C, and does not pass through point D (some examples are given in the image below) So this is the only false option.

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