Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.M. With a plan to have a picnic when they meet. Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour. After one hour, how far apart will they be?

Answers

Answer 1

Answer:

They would be 44.6 miles apart

Step-by-step explanation:

Here, we want to calculate how far they will be in 1 hour

Mathematically;

Distance = speed * time

In 1 hour, Kiran would have traveled a distance of 3 * 1 = 3 miles

While Clare would have traveled a distance of 3.4 * 1 = 3.4 miles

Now, we want to calculate how far apart they would be

On the 24 miles trail, Kiran would be at a distance of 21 miles to the other end

On the 24 miles Claire would be at a distance of 20.6 miles

So how far apart they would be is

24 miles + 20.6 miles = 44.6 miles


Related Questions

The functions u and w are defined as follows.
u(x) = 2x+2
w(x) = – 2x² +2
Find the value of w (u(2)).

Answers

Answer:

w(u(2)) = -70

Step-by-step explanation:

u(x) = 2x + 2

w(x) = -2[tex]x^{2}[/tex] + 2

w ( u (2) )

Find u(2), substitute in 2 for x in the function u.

u(2) = 2(2) + 2

= 4 + 2

= 6

w(u(2))

= w(6)

Now subsitute in 6 for x, in the function w.

w(6) = -2[tex](6)^{2}[/tex] + 2

= -2 * 36 + 2

= -72 + 2

= -70

w(6) = -70

w(u(2)) = -70

What is the product of (3a + 2)(4a2 – 2a + 9)? 12a3 − 2a + 18 12a3 + 6a + 9 12a3 − 6a2 + 23a + 18 12a3 + 2a2 + 23a + 18

Answers

Answer:

12a3 + 2a2 + 23a + 18

Step-by-step explanation:

Vertical multiplication works well when you have a binomial times a trinomial.

Multiply 2 times the trinomial and get 8a2 - 4a + 18 then multiply 3a times the trinomial to get 12a3. -6a2 + 27a

Then combine like terms.

The product of the givens expressions is 12a³ + 2a² + 23a + 18.

Product of the given expressions

The product of the givens expressions is obtained by multiplying all the variables in the bracket as shown below.

(3a + 2)(4a² – 2a + 9) = 3a(4a² – 2a + 9) + 2(4a² – 2a + 9)

= 12a³ - 6a² + 27a + 8a² - 4a + 18

simplify by collecting similar terms together

= 12a³ + 2a² + 23a + 18

Thus, the product of the givens expressions is 12a³ + 2a² + 23a + 18.

Learn more about product of expressions here: https://brainly.com/question/1852123

This is pre calculas summation please help lol

Answers

Answer: 1  - 2 + 4 - 8 + 16

Step-by-step explanation:

Answer:

-1-2-4-8-16

Step-by-step explanation:

(-2⁰)+(-2¹)+(-2²)+(-2³)+(-2⁴)

-1-2-4-8-16

-31

Sequences and series

Answers

Answer: D) Geometric; r = 4

===========================================================

Explanation:

The sequence is not arithmetic because the distance between adjacent terms keeps increasing. For instance, the gap from 0.4 to 1.6 is 1.6-0.4 = 1.2, while the gap from 1.6 to 6.4 is 6.4-1.6 = 4.8. There is no common difference, so we can rule out choices A and B.

To check if we have a geometric sequence, divide each term by its previous term

(term2)/(term1) = (1.6)/(0.4) = 4

(term3)/(term2) = (6.4)/(1.6) = 4

(term4)/(term3) = (25.6)/(6.4) = 4

Each time we get 4 as a result, so this sequence is geometric and the common ratio is r = 4.

Put another way: each new term is found by multiplying the previous term by 4.

0.4*4 = 1.6

1.6*4 = 6.4

6.4*4 = 25.6

This all leads to D being the answer.

Side note: the nth term of this geometric sequence is [tex]a_n = 0.4*(4)^{n-1}[/tex] where n is a positive integer and starts at n = 1.

William is 11 years old. One day, his granddad took him and his younger brother to a basketball game. The tickets for the game were priced at $17 for adults (`a`) and $13 for children (13 years and younger) (`c`). What is the expression for the total cost of the tickets for William’s family and what was the total cost?

Answers

Answer:

43$

Step-by-step explanation: Three tickets total.

2 tickets cost 13$    =26

1 ticket 17 = 43 total

 

Hope this helped! God Bless!!

The total cost of the tickets for William’s family with 1 adult and 2 children is $43.

William's age = 11 years

Price for an adult = $17

Price for a child = $13

What will be the total number of tickets be bought?

The total number of tickets to be bought will be 3 i.e. William, His Granddad, and William's younger brother i.e. 1 adult ticket and 2 children tickets.

Total price = price of 1 adult ticket + price for 2 children's ticket

Total price =17+2*13

Total price =17+26

Total price =$43

Therefore, the total cost of the tickets for William’s family is $43.

To get more about such arithmetic problems visit:

https://brainly.com/question/21405634

a sheet of glass has a density of 2.5 g/cm3

what is the density of the glass in? kg/m3


PLEASE HELP!!!!!!!!

Answers

Iejzuxixianwkcodoajsbyxuciwiwnf

Write the equation in slope intercept form of the line between the points (2,4) (6,-8) simplify your answer as much as possible.

Answers

Answer: Answer And explanation in picture

Step-by-step explanation:

A smoke jumper jumps from a plane that is 1900 ft above the ground. The function h=-16t+1900 gives the​ jumper's height h in feet during the free fall at t seconds. a. How long is the jumper in free fall if the parachute opens at 1000​ ft? b. How long is the jumper in free fall if the parachute opens at ​ft? c. What is a reasonable domain and range for the function​ h? a. The jumper is in free fall for nothing s if the parachute opens at 1000 ft

Answers

Answer:

a) The jumper opens the parachute in 7.5 seconds.

b) The jumper opens the parachute in approximately 7.706 seconds.

c) There are two possible choices for the function:

Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]

Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]

Step-by-step explanation:

Note: The equation presented in statement is incorrect. The correct formula for free fall is:

[tex]h(t)=-16\cdot t^{2}+1900[/tex] (1)

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]h[/tex] - Height above the ground, measured in feet.

a) If we know that [tex]h(t) = 1000\,ft[/tex], then the final instant of the free fall stage is:

[tex]-16\cdot t^{2}+1900 = 1000[/tex]

[tex]16\cdot t^{2} = 900[/tex]

[tex]t = 7.5\,s[/tex]

The jumper opens the parachute in 7.5 seconds.

b) How long is the jumper in free fall if the parachute opens at 950 ​ft?

If we know that [tex]h(t) = 950\,ft[/tex], then the final instant of the free fall stage is:

[tex]-16\cdot t^{2}+1900 = 950[/tex]

[tex]16\cdot t^{2} = 950[/tex]

[tex]t \approx 7.706\,s[/tex]

The jumper opens the parachute in approximately 7.706 seconds.

c) There are two possible choices for the function:

Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]

Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]

Find the measure of the unknown angle.

Answers

Answer:

131° Degrees

Step-by-step explanation:

It's the same just put in different places

Answer:

The answer is in the screenshot provided.

Step-by-step explanation:

find the surface area of the cylinder using pie.

Answers

I believe it’s 72 I hope it’s right

guys help me yall for 20 point

Answers

Answer:

7

Step-by-step explanation:

9/m+4

9/3+4 (m=3)

3+4

7

Answer:

-9

Step-by-step explanation:

9 divided by -9 is -1

-1 +4 = 3

Can you please help me solve this I need it before 12/21/20 please help

Answers

Answer:

I only know that the first box is and it is counting by twos

Step-by-step explanation:

because 5+2 =7 then 6+4=10 then 7+6=13 then 8+8=16 and lastly 9+10=19


9 + y = 6 I NEED HELP ASAP
5

Answers

Answer:

y=-3

Step-by-step explanation:

Answer:

The answer to this question is -3.

Step-by-step explanation:

9 + y = 6

-9 -9

y = -3

desperate need of help plssss help :(....please

Pentagon GPEST is shown on the coordinate grid. Pentagon Pentagon GPEST is dilated with the origin as the center of dilation using the rule (x,y)→(0.2x,0.2y) to create pentagon G'P'E'S'T'.

Which statement is true?


Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is greater than 1.

Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is less than 1.

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is greater than 1.

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.
Coordinate plane with 4 quadrants. x-axis runs from negative 6 to 4 and y-axis runs from negative 5 to 5 and arrows on both ends. Pentagon with vertices at G at negative 3 comma 4. P at 2 comma 4. E at 4 comma 2. S at 2 comma negative 3. T at negative 3 comma negative 3.. Vertices labeled with letters.

Answers

Answer:

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.

Step-by-step explanation:

Sorry im late homie

  Option (4). Pentagon G'P'E'S'T' will be smaller than pentagon GPEST because the scale factor is less than 1.

Transformation of a figure by dilation:  If a figure with the given vertex (x, y) is dilated with a scale factor    

          'k', image point will follow the rule,

          (x, y) → (kx, ky)

  If k > 1, image will be larger than preimage.

           If k < 1, image will be smaller than preimage.

Rule for the dilation given in the question,

(x, y) → (0.2x, 0.2y)

Here, k = 0.2 which is less than 1.

     Therefore, pentagon G'P'E'S'T' will be smaller than pentagon GPEST.

                        Option (4) will be the correct option.

Learn more about the transformation here,

https://brainly.com/question/13166355?referrer=searchResults


Help me !! Which one is it ?

Answers

Answer:

c

Step-by-step explanation:

What is 2792 + 9383790202

Answers

Answer:

9383792994

Step-by-step explanation:

I the answer is 9383792994

938,381,812 around there I did this with my head and I’m not sure if it’s correct but I hope it is

What is 1/3 + 4/9 and how to solve

Answers

Make them same denominator
1/3 * 3/3 = 3/9
Now add them
3/9 + 4/9 = 7/9

Answer:

7/9

Step-by-step explanation:

To add fractions, you have to have like denominators. First find the LCM (Least Common Multiple) of both denominators. That is 9. The second fraction already has a denominator of 9, so leave it as is. The first fraction doesn't so what will happen is you will be converting it into a fraction with a denominator of 9. Multiply the denominator by 3 to get 9. Then multiply the top by 3 because whatever you do to the bottom you do the top. You will then get 3/9. 3/9+4/9 is equal to 7/9 because you just add the numerators, but keep the denominators the same.

Someone please help solve this!! I’ll give brainlist

Answers

Answer:

Inital height is 20

Step-by-step explanation:

h= (-5x-5)(x-4)

h= -5x^2+15x+20

the question is the photo

Answers

Answer:

its A. B. C. D. E.

Step-by-step explanation:

all of it are correct

Evaluate (-7)2.


p l e a s e
a n s w e r
q u i c k\

Answers

Answer:

(-7)2 = -14

Step-by-step explanation:

The parenthesis basically mean "multiply". So, this is a simple equation meaning -7 x 2. And remember, anytime we multiply a positive by a negative, you get a negative. So, simply multiply 7 x 2 = 14 and add a negative sign to make the solution true. So, -7 x 2 or (-7)2 = -14

Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Also thank you for the generous points!! Stay safe and please mark brainliest!!

Answer:

-14

Step-by-step explanation:

just act as if -7 were positive then you know 7x2 = 14 cause' "()" means multiplication.

last, since 7 was negative in the first place then you turn your product back to a negative and you get -14

mark brainliest :)

3[ 9 - ( 6 - 3 ) ] - 10

Answers

The answer is 8... your welcome

Answer:

The answer is 8

Step-by-step explanation:

Pay attention bro

ANSWER ASAPPP
I WILL MARK BRAINLIET
EXPALIN HOW YOU GOT WHAT U GOT PLSSS

Answers

Answer:

The change should Sara receive from the $10 bill is $3.56.

Step-by-step explanation:

Given:

The table shows the prices of some breakfast items at a restaurant.

Item                                      Price

One egg                               $1.69

Slice of bacon                      $1.49

Glass of orange juice           $1.09

Sara ordered 2 eggs, a slice of bacon, and  a glass of orange juice for breakfast.

The sales tax for the order was $0.48.

She paid for her breakfast with a  $10 bill.

Now, to find the change should Sara receive from the $10 bill.

Bill for the Sara's breakfast:

2 eggs =  2 x 1.69 = 3.38

A slice of bacon = $1.49.

A glass of orange = $1.09.

The sales tax = $0.48.

Total bill =  3.38 + 1.49 + 1.09 + 0.48 = 6.44

Sara paid for the breakfast bill = $10.

Now, to get the change Sara should receive we subtract the amount of bill from the money Sara paid for the bill:

sara paid for the breakfast bill - total bill

=10 - 6.44

=3.56

Therefore, the change should Sara receive from the $10 bill is $3.56.

hope it helps!

What is the product of 7/10 and 3 2/3?

1 3/5

1 13/15

2 17/30

3 7/15

Answers

It’s c just to let u know cause 3 is not 7/15

The “war council” is a meeting that Dally has with the leaders of the Socs. What is the plan/agreement that results from Dally’s meeting with “the war council”?

Answers

Answer:

yes

Step-by-step explanation:

yes

A marching band is practicing. The band director sees the drum major hit a drum. How far away is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s.

12 m
132 m
264 m
825 m

Answers

Answer:

132 m

Step-by-step explanation:

distance= speed*time

d=0.4*330

=132

The distance between the director and the drum will be; 132 m.

What is speed?

Speed can be calculated as the ratio of distance traveled to the time taken.

Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration.

Noted that the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear.

The formula of the sound in correlation with time of hear and distance is ;

time of hear = speed of sound : distance.

As per data given, time of hear = 0.40s;

speed of sound = 330 m/s.

The distance will be:

Distance= speed  x time

d = 0.4 x 330

d = 132

Learn more about speed here;

https://brainly.com/question/7359669

#SPJ6

Gabe is analyzing the plane ticket prices over the years. Comparing the cost of a plane ticket this year to last year, ticket prices are 12% higer than they were last year. Create an expression that represents the difference between this year and last year

Answers

Answer:

The difference in prices is 0.12x where x is the last year’s price

Step-by-step explanation:

Here, we want to create an expression

Let the price last year be x

12% more this year mean;

x + 12% of x

= x + 0.12x = 1.12x

So the difference between this year and last year will be;

1.12x - x = 0.12x

A shoe store uses a 40​% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of ​$71​?

Answers

Answer:

99.40

Step-by-step explanation:

$71 * .4 = $28.40

$71 + $28.40 = 99.40

Answer:

The selling price would be $99.40

The usual price of a sweatshirt is $18, what is its sale price?
The sale price of every item in a store is 85% of its usual price.

Answers

The sale price is 15.3

Calculate the area of the rectangle.

Answers

Answer:

12

Step-by-step explanation:

You count all of the blue squares

12. Just count all of the blue squares.

What is the mean of this data set?
2, 3, 7, 4, 9

A. 4
B. 5
C. 6
D. 7

Answers

I think it should be B. Once you add them all u get 25 then you divide by how many #’s there are.
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