1. A tortoise is running on a long, moving sidewalk. Her pedometer doesn't report her speed, but she knows that—since she got on—she's been running for 40 minutes and that she's traveled 3 kilometers. Unfortunately, she realizes she left her suitcase on the ground just before she got on the sidewalk. Since she's too short to climb over the handrails, she decides to turn around and run at the same speed back to her suitcase. If it takes her 2 hours to return to her suitcase, how fast (in kilometers per hour) was the moving sidewalk moving? How fast (in kilometers per hour) was the tortoise running?

Answers

Answer 1

Answer:

the sidewalk speed q = 3km/hr

the tortoise speed p is 1.5 km/hr

Step-by-step explanation:

From the given information:

let the speed of the tortoise be p  & the speed of the sidewalk be q

she's been running for 40 minutes (40/60 = 2/3) and that she's travelled 3 kilometres

Thus,

p + q = [tex]\dfrac{3}{\dfrac{2}{3}}[/tex]

p + q = 9/2

p + q = 4.5 ----- (1)

when returning, she travelled 3km in 2 hours

i.e. -p + q = 3/2

-p + q = 1.5   ----- (2)

Thus, by using the elimination method for equation (1) and (2)

  p + q = 4.5  ----- (1)

-p + q   = 1.5 ----- (2)  

      2q =  6              

q = 6/2

q = 3 km/hr

From equation (1)

p + q = 4.5

p + 3 = 4.5

p = 4.5 - 3

p = 1.5 km/hr

Therefore, the sidewalk speed q = 3km/hr and the tortoise speed p is 1.5 km/hr


Related Questions

_____ the
clauses in the original

Answers

What do you want to say??

The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).

Convert 50°C to °F.

Answers

Answer: 122°F

Step-by-step explanation:substitute 50°C anywhere in the formula that has the C

need help asapp I'll brainlist u once u finish !!​

Answers

Answer:

-3*-6*2^2+1

18*4+1

72+1

73

Step-by-step explanation:

2(5*-6*2-3)

2(-30*-1).

2*30

60

4*-6^2*2+2/10

4*36*2+2/10

4*72+2/10

288+2/10

290/10

29

9(-6-2^2)/6

9(-6-4)/6

9*10/6

90/6

15

Determine which product has the lower unit price one gallon of orange juice for $3.49 or B a half gallon of orange juice for $1.70

Answers

I think that the half gallon of orange juice has a lower unit price

how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST

Answers

Answer:

5

Step-by-step explanation:

Pictures, x
5
6 7
8
Profit, y
20
24
28
32
whats the fraction after being simplifyed?

Answers

Wat fraction post a pic of the problem

A stack of 3 books weighs 7.8 kilogramh book weighs the s. If eacsame amount, how much does each book weigh?

Answers

Answer:

they each way 2.6 kilograms

pls respond ... 30 points :)

Answers

Answer:

B, 2x^2 - 4x + 8

Step-by-step explanation:

Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:

Length × Width = Area

Given these values, rearrange the formula to find the width:

Width = Area / Length

Then just substitute the values, and

simplify the expression:

Width = (4x^2 - 8x + 16) / 2

Width = 2x^2 - 4x + 8

Answer:

I think its B but dont keep my word as facts thats just what i think hope this helps even a little

Step-by-step explanation:

evaluate the expression when a=32 and b=7 a/4 +b

Answers

I believe your answer would be 15:)

15. The length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is
about 100 times longer than Yvette's cell phone screen. What is the approximate
length of the movie theater screen?

Answers

Answer:

it would 35 feet long 100x0.35

The length of the movie theater will be 35 feet.

What is algebraic expression?                      

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, we can write the expressions as -

2x + 3y + 5

3y + 5

5 + 6

Given is that the length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is about 100 times longer than Yvette's cell phone screen.

Scale factor is defined as the ratio of final dimensions to the initial dimensions of the given image.

Mathematically, we can write -

{K} = final dimensions/initial dimensions

In the question given, the scale factor is -{K} = 100.

Assume the length of the movie theater to be {x}. So, we can write -

{x} = 0.35 x 100

{x} = 35/100 x 100

{x} = 35 feet

Therefore, the length of the movie theater will be 35 feet.

To solve more questions on algebraic expression , visit the link below -

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what is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?

Answers

The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.  The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.

The image of the dilated point will be:-

x : - 8 ⇒ 8 / 4 = 2

y : - 12 ⇒ 12 / 4 = 3

Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

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(03.02 LC)
ABCD is a rectangle. What is the value of x?
A
56 m
B
65 m
xm
D
C

Answers

Bbbbbbbbbbbbbbbbbbbbbbb

What is the quotient of 2/3 and 5/6;
A.1 4/5
B.4/5
C.5/9
D.1 1/4

Answers

B because multiply by the reciprocal giving u 2/3 x 6/5, then you’d reduce with the greatest common factor 3 giving u 2 x 2/5 = 4/5
the answer would be B

Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. How far apart are Jim and Jennifer?How far apart are Jim and Jennifer?

Answers

Answer:

37ft

Step-by-step explanation:

step one;

In this problem, we are expected to solve for the distance between Jenifer and Jim

given that

Jennifer is 29ft above and

Jim is 8ft bellow

step two:

the distance between them can be calculated as

distance= 29+8

distance=37ft

Please help!! not sure if this is right :(

Answers

Answer:

Your answer is correct.

Step-by-step explanation:

A camp counselor has a list of 134 campers who signed up for art class. The counselor can place 8 students in each class. How many classes does the counselor need to have?

Answers

Answer:

17

Step-by-step explanation:

the answer would have been 16.75 but you cant divide a class, so you round up.

What's 30% of 40 and how much are you saving

Answers

30% of 40 is 12. What do you mean how much you are saving?

704% into a fraction

Answers

Answer:

7 4/100

Step-by-step explanation:

[tex] \green {\boxed{Answer}}[/tex]

[tex] = 704\%[/tex]

[tex] = \frac{704}{100} [/tex]

[tex] = \frac{704 \div 4}{100 \div 4} [/tex]

[tex] = \frac{176}{25} [/tex]

[tex] = 7 \frac{1}{25} [/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

The price of a car decreases by 35% to £13000.
What was the car worth before the decrease?

Help

Answers

Answer:

€20,000

Step-by-step explanation:

% decrease = (original price of the car - new price) ÷ original price × 100

Let "x' represents the original price before the decrease.

New price = €13,000

% decrease = 35%

Plug in the values into the equation

[tex] 35 = \frac{x - 13,000}{x}*100 [/tex]

[tex] 35 = \frac{100x - 1,300,000}{x} [/tex]

Multiply both sides by x

[tex] 35*x = \frac{100x - 1,300,000}{x}*x [/tex]

[tex] 35x = 100x - 1,300,000 [/tex]

Subtract 100x from both sides

[tex] 35x - 100x = 100x - 1,300,000 - 100x [/tex]

[tex] -65x = -1,300,000 [/tex]

Divide both sides by -65

[tex] \frac{-65x}{65} = \frac{-1,300,000}{65} [/tex]

[tex] x = 20,000 [/tex]

The car was worth €20,000 before the decrease.

What is 54 ÷ 2/3 ? ​

Answers

The answer to your question is 81.

Answer: 79 1/2

 Convert any mixed numbers to fractions.

    Then your initial equation becomes:

       53/1 ÷ 2/3

Applying the fractions formula for division,

multiply 53/1 by 2/3

      = 159/2

Simplifying 159/2, the answer is

79 1/2

At ice skating lessons Sarah attempts to do a 360 degree spin, but only manages a quarter-turn on her first attempt
How many degrees short of her goal was Sarah's first attempt?
degrees

Answers

Answer:

Im sorry if this is wrong.

a quarter is 1/4. 1/4 is .25 so 360-25=335. so she only did 335 degree spin and was 25 degrees short

Step-by-step explanation:

The degree of spin Sarah wants to = 360 degrees

Hence, 1 turn = 360 degrees

Sarah does a quarter turn

A quarter is equivalent to : [tex]\frac{1}{4}[/tex]

So, [tex]\frac{1}{4}[/tex] turn = [tex]\frac{1}{4}[/tex] x 360 degrees

= 90 degrees.

The number of degrees short of her goal that Sarah was of her first attempt is  calculated as :

360 degrees - 90 degrees

= 270 degrees.

Therefore, Sarah was 270 degrees short of her goal at her first attempt.

To learn more, visit the link below:

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The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease

Answers

Answer: 50%

Step-by-step explanation: math

Tylond puts $5,000 into a savings account that earns 4%
simple interest. How much interest does he earn after 3
years?

Answers

Answer:

125,000

Step-by-step explanation:

Are these expressions equivalent?
yes or no

Answers

Answer:

yes they are equivalent

1
A recipe for 6 servings of pudding calls for 2/3 cups of cream. How much cream is needed for 18 servings of
pudding?

Answers

Answer:

2 cups

Step-by-step explanation:

18/6 = 3

3 x 2/3 = 6/3

6/3 = 2

the sum of number and 12 is 30. determine the number

Answers

Answer:

42

Step-by-step explanation:

if I'm understand the question you add 12 and 30

The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.

Answers

Answer:

Option: D is the correct answer.

D) 20.455 <= X <= 20.545

Step-by-step explanation:

We are given The ideal length of a particular metal rod is 20.5 cm.

It is given that:

The measured length may vary from the ideal length by at most 0.045 cm.

By atmost we mean either less than or equal to that amount but not more than that.

It means that:

|X-20.5|≤ 0.045

⇒  -0.045  ≤ X-20.5 ≤ 0.045

⇒    -0.045+20.5 ≤ X ≤ 20+0.045

⇒   20.455 ≤ X ≤ 20.545.

Hope this helped! <3

WHAT IS THE LAST SENTANCE FOR DESPASITO IN ENGLISH!!!!!!!!!!!!!!11

Answers

Ojhhha amhenamajaja a Jajajaja and

y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?

Answers

The x-intercepts of an equation are simply the zeros of the equation

The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts

The equation is given as:

[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]

Set the equation to 0; i.e. calculate the zeros

[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Divide both sides by constant b

[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Split the above equation, as follows

[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]

Solve for x in each of the equation

[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

Remove repeated solutions

[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

The count of solutions above is 4

Hence, the equation has 4 distinct x-intercepts

Read more about x-intercepts at:

https://brainly.com/question/3951754

(−45)(158)(73)(−1)
QUICK

Answers

Answer:

If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.

Step-by-step explanation:

multiplying will get you 519,030 because-45x158= -7,110 and 73x-1=-73 and when you multiply -7,110 and -73 you get positive 519,030 because a negative times a negative equals a positive
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