Starting at the same point, Tom and Juanita go biking in opposite directions. If Tom rides at a speed of 20 mph, and Juanita rides at a speed of 20 mph, how far apart will they be in 2 hours?

Answers

Answer 1

Answer:

Concept: Mathematical Analysis

They go in opposite directions They start at the same point, let's define that as (0,0) on the ordinary differntiable x-y axis Hence Tom can ride 20 units left in one hour and Juanita can ride 20 units right in one hour.We want to know the distance they are at the end of 2 hours So we set up the equation y= 20(x)Let x be the hours and y be the distance So 20×2=40 miles At the end of 2 hours they will be 40 miles apart assuming constant rate of change and a starting point of (0,0)

Related Questions

standard form for y=mx+b​

Answers

Answer:

that's standard form for slope

Step-by-step explanation:

have a nice day :)

7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution

Answers

Answer:

Elena's move will lead to the solution of the problem

Step-by-step explanation:

To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning

Given:

7.5d = 2.5d

Lin divides each side by 2.5d, Lin:

7.5d / 2.5d = 2.5d / 2.5d

3 = 1

This can not be the solution to the problem because 3 can not be Equal to 1

Elena subtracts 2.5d from each side

7.5d = 2.5d

7.5d - 2.5d = 2.5d - 2.5d

5d = 0

This can lead to the solution of the problem

Elena's move will lead to the solution of the problem

I need help I’m timed
what is the y- intercept of the linear function?
y= 1/2 x + 4

Answers

Answer: (0,4)

Step-by-step explanation:

the sheep died yesterday why

Answers

Answer:

it just died because of natural causes haha

Step-by-step explanation:

Answer:

uhhh maybe because it got old or lack of care for they sheep or it got hunted ;-;

Step-by-step explanation:

Wich of the following appear in the diagram below NEED ANSWER QUICK​

Answers

The A, the C and the D because we have the vectors YX and YW which start from Y and the angle XYZ because the angle is around Y

An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Consider the trinomial 6x2 + 13x + 6. The value of ac is . The value of b is . The two numbers that have a product of ac and a sum of b are 4 and .

Answers

Answer:

1. ac = 36

2. b = 13

3. 4 and 9

Step-by-step explanation:

Given

6x² + 13x + 6

Required

Fill in the gaps

Solving (1): The value of AC

The general form of an equation is:

ax² + bx + c

By comparison:

a = 6

b = 13

c = 6

So,

ac = a * c

ac = 6 * 6

ac = 36

Solving (2): The value of b

In (1) above, we showed that

b = 13

Solving (3): Two numbers that satisfy product ac and sum b

We have that.

ac = 36

If one of the numbers is 4, then the other number is

Other number = 36/4

Other number = 9

Alternatively, we have that.

b = 13

If one of the numbers is 4, then the other number would be:

Other number = 13 - 4

Other number = 9

Answer:

ac = 36

b = 13

The two numbers that have a product of ac and a sum of b are 4 and 9

Step-by-step explanation:

please help and answer this question

Answers

Answer:

-2x+9

This is the answer you are looking for

YOUR WELCOME! :D

A train traveling at 37 M.P.H. had its speed increased by 22 ft. per sec.
If 88 ft./sec. = 60 M.P.H., then the train is now traveling at M.P.H.

Answers

Answer:

52 mph

Step-by-step explanation:

If 88 ft/sec = 60 mph

The 22 ft/ sec is 60/4 = 15 mph

This is so because 88/22 is 4

So we simply proceed to add this to the previous speed in mph

That gives a total of 15 + 37 = 52 mph

what percent of students have played an instrument for 3 years ?
(round tenths)

please help

Answers

Answer:

%22.2

Step-by-step explanation:

what is 3/4 divided by 1/2​

Answers

3/4 divided by 1/2 is 1.5 or 6/4.

31q=7.037 what is the value of q??

Answers

Answer:

0.227

Step-by-step explanation:

q=7.037/31

q=0.227

Which equations and/or functions represent the graphed line? Select three options.


f(x)=1/5x-4
f(x)=1/2x+2
f(x)=1/2+1
y-3=1/2(x-2)
y-1=1/2(x+2)

Answers

Answer:

The second one, the fourth one, and the fifth one.

f(x)=(1/2)x+2

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

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

The three equations that represent the graphed line are:

f(x) = (1/2)x + 2

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

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

To identify which equations and/or functions represent the graphed line, we can compare the given equations with the characteristics of the graph.

The graphed line appears to have a slope of 1/2 and passes through the point (0, 1). Let's check the options:

f(x) = (1/5)x - 4: This equation has a slope of 1/5, not 1/2, so it does not represent the graphed line.

f(x) = (1/2)x + 2: This equation has the correct slope of 1/2, but it does not pass through the point (0, 1), so it does not represent the graphed line.

f(x) = (1/2) + 1: This equation is not in slope-intercept form and does not represent the graphed line.

y - 3 = (1/2)(x - 2): This equation has the correct slope of 1/2 and passes through the point (2, 3). However, it does not pass through the point (0, 1), so it does not represent the graphed line.

y - 1 = (1/2)(x + 2): This equation has the correct slope of 1/2 and passes through the point (−2, 1) (after rearranging to slope-intercept form). It also passes through the point (0, 1), which matches the graph.

The three equations that represent the graphed line are:

f(x) = (1/2)x + 2

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

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

To know more about equations:

https://brainly.com/question/10724260


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One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?

Answers

Answer:

500

Step-by-step explanation:

Given that:

Shape of one of the Great Pyramids in Egypt is a square pyramid.

Base of pyramid is of square shape with length = 20 feet

Height of pyramid = 150 feet

Volume of each stone used for the construction of the pyramid = 40 cubic feet

To find:

Number of stones used for the construction of the pyramid.

Solution:

First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.

It will give us the number of stones used for the construction of pyramid.

Volume of a pyramid is given as:

[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]

Here, base is a square, so area of base = [tex](Side)^2[/tex]

[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]

Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500

Someone please help me with this!

Answers

Answer would be letter (b)

how do we find the place value of 3a + b given that a=4, b=3, and c=-2

Answers

Answer:

3a+b

3(4)+3

12+3

15

Step-by-step explanation:

You substitute the variables with the given numbers. I think this is correct.

What are the x intercept and y intercept of the graph of 5x+8y=20

Answers

Answer:

x intercept: (4,0)

y intercept: (0,2 1/2)

Step-by-step explanation:

x intercept is (4, 0) and y intercept is (0,5/2) of the graph of 5x+8y=20

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

5x+8y=20

8y=-5x+20

Divide both sides by 8

y=-5/8x+20/8

y=-5/8x+5/2

Now put x=0 to find y intercept

y=5/2

Now put y=0 to find x intercept

-5/2=-5/8x

4=x

Hence, x intercept is (4, 0) and y intercept is (0,5/2).

To learn more on slope of line click:

https://brainly.com/question/14511992

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-4(a-12) help me because I am really confused

Answers

Answer:

-4a+48

Step-by-step explanation:

Using the distributive property, you would multiply -4 with the values inside the brackets, which are a and -12.

-4*a + (-4*(-12))

= -4a+(48)

= -4a+48

Hope this helps!

Answer:

-4a+48

Step-by-step explanation:

Multiply -4 to a and -12

-4a+48

Eliot needs to replace a window that is in the shape of a
semicircle.
K 1.5 ft
>
What is the area of the window? Use 3.14 for 1. Round your
answer to the nearest hundredth of a square foot.

Answers

353.25

a=(3.14*15^2)/2

a=706.5/2

a=353 sq in

use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.

Answers

Answer:

18. AE = 6

19. BG = 6

20. CF = 5

21. GF = 2

22. CE = 3

23. AC = 3·√5

24. A_F = 10

25. DA = 3·(√5 - 1)

Step-by-step explanation:

Whereby the point C is the center of the circle, we have;

CB = CG = CE = 3 = The radius of the circle with center at C

CE = 3

CF = √(4² + 3²) = 5 by Pythagoras' theorem

CF = 5

GF = CF - CG = 5 - 3 = 2

GF = 2

BG = CB + CG = 3 + 3 = 6

BG = 6

Whereby, BC is a tangent to the circle with center, C, we have;

A_F = √(8² + 6²) = 10 by Pythagoras' theorem

A_F = 10

AE = A_F - EF = 10 - 4 = 6

AE = 6

AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem

AC = 3·√5

DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)

DA = 3·(√5 - 1).

What's 4/5 as a percentage?

Answers

Answer:

80%

Step-by-step explanation:

% is out of 100 so make the denominator of 4/5 to be 100:

4/5 times 20/20 = 80/100 = 80%

Answer:

80%

Step-by-step explanation:

4 divided by 5 equal .8

.8 x 100 equals 80

It's multiplied by 100 because usually percentages are out of 100.

OR

You can move the decimal in .8 to 2 space to the right

Which of the following equations is equivalent to 4x -y=3`?

Answers

Answer:

x-intercept = (3/4,0)

y'intercept = (0,-3)

Step-by-step explanation:

Not sure what conversion you need but here are the intercepts

Sarah’s job at a cellphone store pays 6% commission on the sales she makes. She also makes $1400 base pay. What will Sarah’s total paycheck be if she had $4000 in sales?

Answers

Answer:

255

Step-by-step explanation:

Write an equation in​ point-slope form of the line that passes through the given point and with the given slope m.
(-2 ,1) ; M= 5

Answers

Answer:

y-1=5(x+2)

Step-by-step explanation:

Point-slope form is y-y₁=m(x-x₁)

1 is y₁ so we would fill the first half as "y-1"

We know that m=5, so we can just put it in where m goes.

So far, we are at y-1=5

-2 is x₁ but since it's a negative, and we are also using subtraction, we must cancel it and turn it into a positive. So, we would write (x+2)

The final equation is y-1=5(x+2)

mr brown and his 2 children are going to london by train
an adult ticket costs £24.
an child ticket costs £12

mr brown has a family railcard

family railcard gives : 1/3 off adult tickets

60 percent off child ticket


work out the total cost of the tickets when mr brown uses his family railcard

Answers

Answer:

The total cost will be equal to 25.6£

Step-by-step explanation:

In order to solve this question we will have to figure out the cost of the adult ticket and the children tickets when the railcard is used. For this we do the following.....

Let "a" be the cost of the adult ticket after using the railcard

Let "b" be the cost of the children ticket after using the railcard.

a = 24£ - (24£ x [tex]\frac{1}{3}[/tex]) = 24£ - 8£ = 16£

b = 12£ - (12£ x [tex]\frac{6}{10}[/tex]) = 12£ - 7.2£ = 4.8£

Now the total cost will be equal to the sum of an adult ticket and two children tickets after the railcard is used, so .....

Total cost = a + 2b = 16£ + 2(4.8£)= 16£ + 9.6£ = 25.6£

Please help me ! Please!

Answers

It’s 19 so the answer would be B

Answer:

B) 19

Step-by-step explanation:

The first step is to substitute 2 for x into the equation. f(2) = 2(3^2)+1

The second step is to square 3 which equals 9. f(2) = 2(9)+1

The third step is to multiply 2 by 9 which equals 18. f(2) = 18+1

The fourth step is to add 18+1 which equals 19. f(2) = 19

Please help me thank you

Answers

i’m pretty sure the answer is A. ( i also use my hrw too lol)

Answer:

the answer is A

Step-by-step explanation:

they are 3 sets of 2.3. the 5 at the top represents the number of 2.3s that r there. so the answer is A

What is the x intercept of the graph of 3x-y+6=0

Answers

Answer: It would be 2,0 :) Please tell me if I'm wrong

Step-by-step explanation:

Plz help fast answer

Answers

Patriotic
Coastal
Graphic
Heroic
Dramatic
Angelic
Betrayal
Bacterial

Answer:

1: Patriotic

2: Global

3: Graphic

4:heroic

5: betrayel

6:angelic

7: dramatic

8: bacterial

Step-by-step explanation:

I think this is it

PLEASE HELP AND SHOW WORK IF YOU CAN​

Answers

Answer:

c) XY > RS

= true

Step-by-step explanation:

Firstly know the meaning of each sign given

> means is greater than

= means is equal to

a)XZ > ST

XZ = 8

ST = 11 - greater

= false

b) XY = RS

Due to the angles presented, we conclude that the greater the angle, the longer the unmeasured line.

XY is longer than RS

= false

c) XY > RS

= true

d) RS > XY

RS is shorter than XY hence not greater.

= false

Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20% chance of winning. How many tickets were sold? P (Luna winning) = StartFraction Number of tickets purchased over Total number of tickets sold EndFraction. 20 percent = StartFraction 20 over x EndFraction. One-fifth = StartFraction 20 over x EndFraction. x = tickets

Answers

Answer:

100 tickets

Step-by-step explanation:

Probability of winning = amount of tickets purchased/Total number of tickets

20% = 20/total number of tickets

20/100 = 20/total number of tickets

cross multiply

20 * total number of tickets = 20 * 100

20 *  total number of tickets = 100

total number of tickets sold = 100 tickets

Answer:

100 tickets

Step-by-step explanation:

Hi and goodbye

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