red bike is traveling south, toward Lawrence, at constant speed of 24km/h and a blue bike is also traveling east, away from Lawrence, at a constant speed of 12 km/h. when t=0, the red bike is 10 km north and the blue bike is 6 km east of Lawrence a. express the distance of the red bike from Lawrence, R, as a function of time in hours, t. b. express the distance of the blue bike from Lawrence, B, as a function of time in hours, t.

Answers

Answer 1

Answer:

a.[tex]R=10-24t[/tex]

b.[tex]B=6+6t[/tex]

Step-by-step explanation:

We are given that

Speed of red bike, v=24 km/h

Speed of blue bike, v'=12km/h

Distance of red bike when t=0

=10 km north

Distance of blue bike when t=0

=6km east

a. We have to find the expression of distance of red bike from Lawrence.

[tex]Distance=speed\times time[/tex]

Let t be the time taken by red bike

Distance of red bike from Lawrence is given by

[tex]R=10-24\times t[/tex]

[tex]R=10-24t[/tex]

b.

Distance of the blue bike from Lawrence

[tex]B=6+6\times t[/tex]

[tex]B=6+6t[/tex]


Related Questions

4 QUESTIONS 94 POINTS PLEASE HELP!!!!!!!!!!!!!!
1) (x + 3)(5x + 4)

Answer (in Standard Form) =

1.1) Y-Intercept “c” = ( , )

1.2) Parabola Orientation =

(positive OR negative)
*HINT: look at the LEAD COEFFICIENT*

2) (-x + 2)(6x + 5)

Answer (in Standard Form) =

2.1) Y-Intercept “c” = ( , )

2.2) Parabola Orientation =

(positive OR negative)
*HINT: look at the LEAD COEFFICIENT*


3) (2x + 2)(-9x - 1)

Answer (in Standard Form) =

3.1) Y-Intercept “c” = ( , )

3.2) Parabola Orientation =

(positive OR negative)
*HINT: look at the LEAD COEFFICIENT*

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

Answer (in Standard Form) =

4.1) Y-Intercept “c” = ( , )

4.2) Parabola Orientation =

(positive OR negative)
*HINT: look at the LEAD COEFFICIENT*

Answers

Answer:

is this a trick question

Step-by-step explanation:

solve the equation 2000(x-0.03) = 6000 for x.

Answers

Answer:

x=303/100 = 3 3/100= 3.03

Step-by-step explanation:

How many distinct triangles can be formed for which m triangle(s)
How many distinct triangles can be formed for which m triangle(s)

Answers

Answer:

4+(4-3y) to the power of 3, 4x(5.5+3y) since y = 3.

Step-by-step explanation:

Please help me with any of these questions

Answers

Answer:

10.-8/-2 can't represent calculating a mean change in score because a mean change in score is counted by adding up the scores & then dividing it by the number of the scores. As a number of scores can never be negative, so -8 can't be divided by -2 . So, -8/-2 can't represent this.

6. a) Andrea's mean weekly change will be negative. Because after adding up her weekly changes, we'll find a negative number. & as the number of weeks is positive, then the mean will be a negative number .

b)the division equation is: -15/5

So, her mean weekly change is -3

Step-by-step explanation:

I know it's late, but I hope it helps

Solve the system by substitution.
y = 4x – 8
Y = 2x

Answers

first one if u solve for y is   y=4x-8

solve for x is x =y/4+2

second one is if u solve for y is y=2x

if u solve for x is x =y/2

Step-by-step explanation:

hope this help

3b) Determine the value of the unknown.
7:12 = 21:
Your answer
This is a required arection

Answers

Answer:

Step-by-step explanation:

Simplify 3xy - 9xy + 11y

Answers

-6xy+11y
Shehshdhdhsbsvsvsvsvs

-y · (6x-11)

Hope that helps

Plssss answer it plssss... We need it​

Answers

Answer:

put each a= number in the place of (a) in the big circle the tiny 2 means to the 2nd power ( the number times itself) .. so you use the small circle a=3 then 3² -7 = 2 meaning 3x3=9 and then 9-7=2 so the answer for that small circle is 2 and then repeat for each small circle

What is the solution of 10(w+5) = 60?

Answers

Answer:

w = 1

Step-by-step explanation:

10(w+5) = 60

w+5 = 6

w = 6-5

w = 1

Insta: 25k_kem

Answer: w is 1!

Step-by-step explanation: 5 plus 1 is 6. 6 times 10 is 60! Good luck! :D

Determine whether the function is proportional or nonproportional. y = 3x -
1*
May someone please explain how to do this

Answers

Answer:

y=1/2x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

Which verbal expression represents the following algebraic expression?
10+4(9)

Answers

Answer:

the sum of 10 and the product of 4 and 9

Step-by-step explanation:

PLLZZ helpp meeeee plzzzzz

Answers

Answer: Literally has to be 3830.7

Step-by-step explanation: If the money is compounded annually there has to be some sort of accumulation or increase in the account

PLZ HELP I NEED THIS DONE IN A FEW HOURS

Answers

1. 5/8 that’s all I did

Which table of values can be defined by the function y = 6x – 2?​

Answers

Answer:

c

Step-by-step explanation:

The Game Stop is having a sale on an originally $66.64 game. It is on sale for $29.99.
What is the percent change?

Answers

Answer:

54.997 decrease

Step-by-step explanation:

None  

If only GameStop wasn't that money hungry

29.99/66.64=.45
45% change

4. The amount of money in Dave's checking account for the first week of
June: {$618, $575, $520, $378, $244. $794, $702)
Which is
Mean:
Median:
Mode(s):
Range:

Answers

Answer: Mean- 547.3

Median- 575

Mode-no mode

range-550

Step-by-step explanation:

mode is the number that occurs the most

mean- add up all the numbers and divide them by them number of ad ins

range- largest number- smallest number

median- middle number

9x15= (9x9) + (9x__)
+

Answers

Answer:

6

Step-by-step explanation:

15-9 = 6

g(x)=-1/3|x| awnser for points, actually awnser not just some random stuff

Answers

Answer:

tygfdxfcghjiuhytfdszxcvbhnjkl;kjhgfzxfghjkl

Step-by-step explanation:

Help please I need help. :)

Answers

Answer:

yes

Step-by-step explanation:

rewrite in a simpler equivalent form and solve

Answers

Solution: x = 4
Here’s a more clear explanation I found :)) have a good day

Need Help Fast!!!!
Will Mark Brainlist!!!!
Will Rate!!!!
9th Grade Honors Geometry

Answers

Answer:

The Correct Answer is 4!

Step-by-step explanation:

We know on triangle 1 that 2 of the sides are 2 and 4 and there a right angle, an angle that has 90 degrees

with this we can calculate the top angle to be 26.565 which combined on both sides is equal to 90, lust you will then have to subtract 90 minus 26.565 and you will get 63.435. Now that we know than the top angle is equal to 63.435, the 2nd angle is equal to 90 degrees which by the way resembles a right angle, and that 1 side of the 3 sides is 2 we can conclude though the triangle formula that...

X=4.

That's it Hope I Helped.

The answer is 4 please like

A waiter received a 15% tip for a restaurant bill of 59.14. Which of the following estimates is closest to the tip the waiter received

Answers

Answer:

8.87

Step-by-step explanation:

15% of 59.14 = 8.871 rounds to 8.87

please help 11 points and will give brainelist

Answers

C
81 + 56 + 43 = 180 = measure of triangles

Answer:

i believe it should be C

Step-by-step explanation:

dont forget to say thanks

brainelist??

Raul’s sister is 6 years older than he is. What is Raul’s age if Raul’s sister is 19 years old? r=?

Answers

Answer:

13

Step-by-step explanation:

19-6

Answer:

Raul is 13 years old

Step-by-step explanation:

A scientist wants to know if the color of the water affects how much animals drink. The average amount of water each animal drinks was recorded in milliliters for a week and then graphed. Is there evidence to suggest an association between water color and animal?

Answers

Answer:

Yes, there is very clear evidence to suggest or show a correlation between

watercolour and each animal's response to the water as well as their total responses.

Explanation

When the water was blue, the total water consumed by both animals came to 1410 ml. The dog consumed more water than the cat. The dog drank 1200 ml while the cat drank just 410 ml.

When the color of the water was changed to green, the animals drank a total of 1300 ml. The cat drank 200 ml while the dog drank 1100 ml.

We can thus,  establish that there is an association between the color of the water and the volume of water taken by each animal because on the whole, both animals seem to prefer blue water. They drank more water when its color was blue and less when it was red.

Please see the attached document.

Cheers

What is -5 more than 2?

Answers

2 is more because -5 is in the negatives and 2 is in the positives

Step-by-step explanation:

no 2 is more than -5 because 2 is positive but -5 is negative

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!

Answers

Answer:

b

i did this before xD

Solve the inequality.
1. -4x +5>-5

Answers

Answer:

Inequality Form: X=<5/2

Interval Notation:(−∞,5/2)

i hope it helps

what shape is this called in mathematical term​

Answers

This is a cone or a cylindrical pyramid.

Hope this helps :-)

Fill in the missing part of the analogy

Sattelite : Earth as racecar : _____
A. Freeway
B. gas station
C. Race Track
D. Freeway

Answers

Answer:

she/se jajdjgdgmggdukhmijauuuu

Step-by-step explanation:

jkiek3ke

Other Questions
James makes a treasure map to locate a secret item on McEachern Campus. He uses thefollowing displacement vectors to locate the treasureA student wants to simplify this information5 m East7 m North5 m South7 m East3 m South2 m WestA. Determine the Displacement Vector Components. (x componenty component)Show all work. 2 ptsB. Use the Pythagorean Theorem to calculate the resultant vector. Show all work. 2 ptsAnswer format:a. work & answer...b. work and answer...(4 Points) Please help and explain!Ill give brainiest!! If you dont know the answer pls dont reply thank you sin (0)= cos (28)what is the value of 0? The difference between pretax accounting income and taxable income is due to subscription revenue for one-year magazine subscriptions being reported for tax purposes in the year received, but reported in the income statement in later years when the performance obligation is satisfied. The income tax rate is 25% each year. Times-Roman anticipates profitable operations in the future. Standard form of 0=2-y What is the counterclaim in the passage?Plz help Y=? Need help ASAP very much appreciated Write an expression equivalent to m+m+m+m+m using a coefficient and a variable. 6y>8 answer in a fractionI need help with finding the answer I do not understand what to do and the answer has to be in fraction form and I just really need help Question 4A truck is loaded with packages. The truck's trailer is 12 feet high by 525 feet15 feet12 feetWhat is the volume of the trailer?97 cubic feetB191 cubic feet252 cubic feet How did Alexander the Great surpass his father's (Philip II) accomplishments?In your two-sentence response, include one way Alexander the Great surpassed his father's accomplishments. two angles of a triangle measure 29 degrees and 12 degrees what is the measure of the third angle? what is Paris's climate change? did ancient canaan have a lot of mountains (just a question, not a real question) I really need help tho- like, just for an essay Find the unit rate. 84 miles in 12 days (Ratio) Find The Area...HURRY Aristotle and Locke are considered to be a what thinker So is my horse Octavius, and for thatI do appoint him store of provender.It is a creature that I teach to fight,To wind, to stop, to run directly on,His corporal motion governed by my spirit.And, in some taste, is Lepidus but so.He must be taught, and trained, and bid go forth.A barren-spirited fellow, one that feeds on objects, arts,And imitations, which, out of use and staled by other menBegin his fashion. Do not talk of him but as property (4.2.29-42).The word corporal in line 34 most likely meansA) physicalB) emotionalC) mentalD) financial What are the domain and range of the function f(x)= x4 - 2x2-4?O domain: all real numbersrange: all real numbers greater than or equal to -5O domain: all real numbersrange: all real numbers greater than or equal to -4domain: all real numbers between -2.5 and 2.5range: all real numbersO domain: all real numbers between -2.5 and 2.5range: all real numbers greater than or equal to -5