A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same route as the biker. At what speed does each of them travel if it takes them 2 hours, 2.5 hours, and 18.75 hours respectively to reach Wilmington? Do the speed and the time vary directly or inversely proportional when the same distance is traveled? Explain why.

Answers

Answer 1

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.


Related Questions

Explain! Reward! Thank you!!!!

Answers

Answer:

4/7

Step-by-step explanation:

because 40 of the campers are male so thats 4 out of 7.

Answer:

it's 3/7

Step-by-step explanation:

there is 70 campers total and 40 of them are boys.

40 + 30 = 70

So Make the 30 and 70 a 3 and 7 and you got 3/7

It's kinda hard for me to explain lol

2(3x + 3)=8x+2 solve for x

Answers

The answer is: x= 2

First apply PEMDAS
2(3x + 3)=8x+2
6x + 6 = 8x + 2
Subtract: 8x - 6x ; 6 - 2
4/2
x=2

Answer:

13 should be x

Step-by-step explanation:

What is the equation of this line?

Answers

Answer:

y=4/3x‒4

Step-by-step explanation:

first list the pairs as the following

{(3,0),(0,‒4)}

&prove your answer by substitute the pairs instead of x&y

when we substitute the pairs (3,0)

y=4/3x‒4

0=4/3(3)‒4

0=4‒4

0=0

when we substitute the pairs (0,‒4)

y=4/3x‒4

‒4=4/3(0)‒4

‒4=0-4

‒4=‒4

so i hope my answer helps you

HELP NEEDED!!!!
Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus spells a word correctly and has the opposite score. Which is the correct way to represent "the opposite of Liliana's score is equal to Marcus's score"?
A)-18 = 18
B)-(-18) =-18
C)-(18)=-18
D)-(-18)=18
(the answer is not C)

Answers

Answer:

D

Step-by-step explanation:

Wkx2di2jd1nd1do jf2kd2ifj2dkdu2dj2d

Answer:

d

Step-by-step explanation:

Please help me thanks

Answers

Answer:

A. Pair 1

Step-by-step explanation:

B is just repositioned, C is a reflection, and D is also a reflection.

Select all the equations where b=11b=11b, equals, 11 is a solution. Choose 2 answers: Choose 2 answers: (Choice A) A 2b=2112b=2112, b, equals, 211 (Choice B) B b+18=7b+18=7b, plus, 18, equals, 7 (Choice C) C 77=7b77=7b77, equals, 7, b (Choice D) D 9=b-29=b−29, equals, b, minus, 2 (Choice E) E 11=33\div{b}11=33÷b

Answers

Answer:

Step-by-step explanation:

We are to choose all the equation that evaluates b to be 11. The following equations are true;

77 = 7b

To get b, we will divide both sides by 7

77/7 = 7b/7

11 = b

b = 11

This shows that the equation is correct since b = 11

Also 9 = b-2

To get b, we will add 2 to both sides of the expression

9+2 = b-2+2

11 = b

b = 11

This shows that the equation is correct since b = 11

Hence option C and D are correct

Answer:

C and D

Step-by-step explanation:

You do the opposite of the question to get answer.

please help i will put as brainliest need done today asap​

Answers

Answer:

c

Step-by-step explanation:

Answer:

B.) 2 2/5

Step-by-step explanation:

If you find the answer to the question, you get the same answer as B.

Find the equation of the line that
is parallel to y = 1/2x – 4 and
contains the point (4,5).

y = 1/2x + [?]

Answers

Answer:

Step-by-step explanation:

y - 5 = 1/2(x - 4)

y - 5 = 1/2x - 2

y = 1/2x + 3

Water weighs 8 pounds per gallon. How many ounces per gallons does water weight

Answers

Answer: 128

Step-by-step explanation:

Which of the following has 14.705 in written form?
OA) fourteen and seven hundred five thousands
O B) fourteen and seven hundred five hundredths
O C) fourteen and seven hundred five thousandths
OD) none of the above

Answers

Answer:

b

Step-by-step explanation:

Answer:

answer choice b

Step-by-step explanation:

hope it helps!!

A car travels a distance of 1280 metres at an average speed of 64 kilometres per hour.
Ра:
Calculate the time it takes for the car travel this distance,
Give your answer in seconds​

Answers

Answer:

The answer is 20 hours

Step-by-step explanation:

This is becuase 1280 divided by 64 equals 20.  There are no unit coversions.

In time t = 0.02 hour the car travels a distance of 1280 meters with a speed of 64 kilometers per hour.

Given that,
A car travels a distance of 1280 meters at an average speed of 64 kilometers per hour.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Time  = distance/speed
Time. t = 1.280 / 64

t = 0.02 hours

Thus, In time t = 0.02 hour the car travels a distance of 1280 meters with a speed of 64 kilometers per hour.

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ILL GIVE BRAINLIEST !
What can FOIL be used for?​

Answers

Answer:

I can be used for thermal conductivity, Electrical conductivey, fake grills for teeth lol, ac conducters, and more

Step-by-step explanation:

Answer:

If you mean FOIL (as in first, outside, inner, last)

it is primarily used to distribute a factor properly.

Items are inspected for flaws by two quality inspectors. Both inspectors inspect every item and the probability that an item has a flaw is 0.1. If a flaw is present,it will be detected by the first inspector with probability 0.92, and by the second inspector with probability 0.7. If an item does not have a flaw, it will be passed by the first inspector with probability 0.95 and by the second inspector with probability 0.8. Assume the inspectors function independently.
(a) If an item has a flaw, what is the probability that it will be found by at least one of the two inspectors?
(b) If an item is passed by the first inspector, what is the probability that it actually has a flaw?
(c) What is the probability that the two inspectors draw different conclusions on the same item?
(d) If an item is passed by both inspectors, what is the probability that it actually has a flaw?

Answers

Answer:

a)0.976

b)0.00926

c)0.2402

d)0.35

Step-by-step explanation:

Let [tex]X_i[/tex] be an item passed by inspector i

Let Y be the event that there is a fault in an item

The probability that an item has a flaw is 0.1 i.e. P(Y)=0.1

If a flaw is present ,it will be detected by the first inspector with probability 0.92 i.e.[tex]P(\bar{X_1}|Y)=0.92[/tex]

So, [tex]P(X_1|Y)=1-0.92=0.08[/tex]

If a flaw is present ,it will be detected by the second inspector with probability 0.7 i.e.[tex]P(\bar{X_2}|Y)=0.7[/tex]

So,[tex]P(X_2|Y)=1-0.7=0.3[/tex]

If an item does not have a flaw, it will be passed by the first inspector with probability 0.95 i.e. [tex]P(X_1|\bar{Y}) = 0.95[/tex]

So, [tex]P(\bar{X_1}|\bar{Y}) = 1-0.95=0.05[/tex]

If an item does not have a flaw, it will be passed by the second inspector with probability 0.8 i.e. [tex]P(X_2|\bar{Y}) = 0.8[/tex]

So, [tex]P(\bar{X_2}|\bar{Y}) = 1-0.8=0.2[/tex]

a)P(found by atleast one inspector | It has flaw )=1-P(found by none inspector | It has flow )

P(found by atleast one inspector | It has flaw )=[tex]1-P(X_1|Y) P(X_2|Y)[/tex]

P(found by atleast one inspector | It has flaw )=[tex]1-0.08 \times 0.3[/tex]

P(found by atleast one inspector | It has flaw )=0.976

Hence the probability that it will be found by at least one of the two inspectors if it has flaw is 0.976

b)[tex]P(Y|X_1)=\frac{P(X_1|Y) P(Y)}{P(X_1|Y) P(Y)+P(X_1|\bar{Y}) P(\bar{Y})}[/tex]

[tex]P(Y|X_1)=\frac{0.08 \times 0.1}{0.08 \times 0.1+0.95 \times 0.9}=0.00926[/tex]

C)P( two inspectors draw different conclusions on the same item)=[tex]P(X_1 \cap \bar{X_2} \cap Y)+P(\bar{X_1} \cap X_2 \cap Y)+P(X_1 \cap \bar{X_2} \cap \bar{Y})+P(\bar{X_1} \cap X_2 \cap \bar{Y})[/tex]

P( two inspectors draw different conclusions on the same item)=0.2402

D)

[tex]P(Y|(X_1 \cap X_2))=\frac{P(Y \cap X_1 \cap X_2)}{P(X_1 \cap X_2)}\\P(Y|(X_1 \cap X_2))=\frac{P(Y \cap X_1 \cap X_2)}{P(X_1 \cap X_2 \cap Y)+P(X_1 \cap X_2 \cap \bar{Y})}\\P(Y|(X_1 \cap X_2))=0.35[/tex]

Does anyone know how to solve 3 by 3 linear systems?

In the system below, use equation (1) with equation (2) to eliminate x. Then use equation (1) with equation (3) to eliminate x.

x-y-2z=4 (1)

-x+3y-z=8 (2)

-2x-y-4z=-1 (3)

Answers

Answer:

x = 3, y = 3, z = - 2

Step-by-step explanation:

Given the 3 equations

x - y - 2z = 4 → (1)

- x + 3y - z = 8 → (2)

- 2x - y - 4z = - 1 → (3)

Add (1) and (2) term by term to eliminate x

2y - 3z = 12 → (4)

Multiply (1) by 2 and add to (3) to eliminate x

2x - 2y - 4z = 8 → (5)

Add (3) and (5) term by term to eliminate x

- 3y - 8z = 7 → (6)

Multiply (4) by 3 and (6) by 2

6y - 9z = 36 → (7)

- 6y - 16z = 14 → (8)

Add (7) and (8) term by term to eliminate y

- 25z = 50 ( divide both sides by - 25 )

z = - 2

Substitute z = - 2 into (7)

6y + 18 = 36 ( subtract 18 from both sides )

6y = 18 ( divide both sides by 6 )

y = 3

Substitute y = 3 and z = - 2 into (1)

x - 3 + 4 = 4

x + 1 = 4 ( subtract 1 from both sides )

x = 3

Solution is x = 3, y = 3, z = - 2

Does this graph represent a proportional relationship between days and inches?
Explain your reasoning

Answers

the graph is proportional because it’s a straight line going up. there are no curves in the line or open spots. the line also passes through the origin (0,0 intersection)

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

Answers

Answer:

The scale factor is 1/4

Step-by-step explanation:

Here, we are interested in finding the scale factor that helped convert the first point to the second.

Hence, what turned (8,12) to (2,3)

What we shall do here is to simply divide term 2 by term i.e

That would be 2/8 or 3/12 = 1/4

The scale factor was 1/4.

Given that,

The point (8, 12) was dilated to become point (2, 3).

We have to determine,

What was the scale factor?

According to the question,

Scale factors are closely related to the concepts of ratio and proportions.

In ratio and proportions, we multiply or divide a given amount to form a new quantity.

The point (8, 12) was dilated to become point (2, 3).

Therefore,

The scale factor was,

[tex]\rm Scale\ factor = \dfrac{New \ point \ lies \ on \ axis}{Old \ point \ lies \ on \ axis}[/tex]

Substitute the points in the formula for the x-axis,

[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ x-axis}{Old \ point \ lies \ on \ x-axis}\\\\Scale\ factor = \dfrac{2}{8}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]

And substitute the points in the formula for the y-axis,

[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ y-axis}{Old \ point \ lies \ on \ y-axis}\\\\Scale\ factor = \dfrac{3}{12}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]

Hence, The scale factor was 1/4.

For more details refer to the link given below.

https://brainly.com/question/8765466

Find the equation of each line in slope intercept form , the slope is 5 and it goes through the point (2-1)

Answers

y - -5 = (5/2)(x - 3)

y + 5 = (5/2)x - 15/2

y = (5/2)x - 15/2 - 5

y = (5/2)x - 15/2 - 10/2

y = (5/2)x - 25/2

Answer:

y = 5x - 9

Step-by-step explanation:

point-slope equation:

y - y1 = m(x - x1)

y + 1 = 5(x - 2)

y + 1 = 5x - 10

   - 1         - 1

y = 5x - 9

Evaluate. (-1/3) ^3

Answers

Answer:

[tex]-\frac{1}{27}[/tex]

Answer:

18-726;615+8876-9987

WHOEVER ANSWER THIS I WILL GIVE BRAINIEST TO WHAT IS 1234567890+0987654321

Answers

Answer:

2222222211

Step-by-step explanation:

Answer:

2222222211

Step-by-step explanation:

calculator

2x+2=4+1x
and we are solving for X​

Answers

Answer:

the answer is x = 2

Step-by-step explanation:

2x+2=4+1x

(2x-1x)+2= 4 +(1x-1x)

1x+2=4

1x(2-2)=(4-2

1x=2

2/1=x

x=2

Answer: X=2

I might be wrong

Which set represents the same relation as the graph below?Which set represents the same relation as the graph below?

A coordinate plane has 7 points. The points are (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4).

StartSet (4, negative 5), (negative 2, negative 3), (Negative 2, negative 1), (0, 2), (3, 3), (5, 4), (negative 4, 6) EndSet
StartSet (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4) EndSet
StartSet (negative 5, 4), (negative 3, negative 1), (3, 3), (4, 5), (6, negative 4) EndSet
StartSet (4, negative 5), (negative 3, 2), (negative 1, 2), (2, 0), (4, 5), (6, 4) EndSet

Answers

Answer:

B; SECOND GRAPH

Step-by-step explanation:

Took the test

The set of ordered pairs that represents the same relation as the graph given is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

What is a Relation?

A relation is a relationship between the input (x-values) and output (y-values), which can be displayed on a graph on a coordinate plane on the vertical axis and the horizontal axis.

From the graph given as shown in the image attached below, the set that has same coordinate points as indicated on the graph is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

Learn more about relation on:

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A company currently has an advertisement that covers a bill board that is 30 ft wide by 70 ft high. The company wants to reduce the same advertisement to fit on a new billboard that is 25ft wide by 40 ft high. What are the dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement

Answers

Given :

A company currently has an advertisement that covers a bill board that is 30 ft wide by 70 ft high. The company wants to reduce the same advertisement to fit on a new billboard that is 25 ft wide by 40 ft high.

To Find :

The dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement.

Solution :

Area of original bill board :

[tex]A_i=30\times 70 = 2100\ ft^2[/tex]

Area of new bill board :

[tex]A_f=25\times 40 = 1000\ ft^2[/tex]

Since, new bill board can be completely fitted in original bill board as its length and breadth both are smaller than that.

So, the dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement is equal to 1000 ft².

Hence, this is the required solution.

A right triangle with angle measures of 45, 45, 90 degrees undergoes a reflection, rotation, and translation. Determine whether the angle measure of the image of the triangle are 45, 45 and 90 degrees after each transformation. Choose yes or no.

Answers

Answer:

Reflection - Yes

Rotation - Yes

Translation - Yes

Step-by-step explanation:

After all 3 different transformations, the angle measures of the triangle will stay the same, at 45, 45, and 90 degrees.

This is because these 3 transformations do not change the shape of the triangle. They only change the orientation and placement of the triangle.

So, the angle measures will still be 45, 45, and 90 degrees after each transformation.

Answer:

Yes, the correct answer to this question is Yes.

Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co-workers. Sam buys a case of water than contains 36 bottles and sells three times as many bottles as Sylvia sold to his co-workers. How many bottles of water did Sylvia sell if they ended up with the same number of bottles of water left over?

Record your answer in the grid below.

Be sure to use the correct place value.

8 points total Show work in order to receive full credit.

7 points correct answer

1 point correct bubbling on grid

Answers

Answer:

6

Step-by-step explanation:

Number of water bottles bought by Sylvia = 24

Number of water bottles sold by Sylvia = [tex]x[/tex]

Number of water bottles left with Sylvia = [tex]24-x[/tex]

Number of water bottles bought by Sam = 36

Number of water bottles sold by Sam = Three times as many as bottles as Sylvia sold = [tex]3x[/tex]

Number of water bottles left with Sam = [tex]36-3x[/tex]

It is given that the number of water bottles left with Sylvia and Sam are equal.

i.e.

[tex]24-x=36-3x\\\Rightarrow 2x=12\\\Rightarrow x =\bold{6}[/tex]

So, number of water bottles sold by Sylvia = 6

⚠PLEASE! THIS IS DUE TONIGHT! FREE BRAINLIEST!⚠

UX bisects ∠VUW. Complete the proof that △UWX≅△UVX.
the asnwer is either SAS or SSS

Answers

Answer:

SAS theorem

Step-by-step explanation:

Answer: SAS theorem :-D BREH

Step-by-step explanation:

There are 12 kittens. If they all average 4.7 pounds, what is the total weight of all 12 kittens

Answers

Answer:

56.4 pounds

Step-by-step explanation:

Multiply 12 (kittens) by 4.7(pounds) and you get 56.4 pounds, the total weight of the kittens combined.

Jennifer received a coupon for 40% off her purchase of a regularly priced item from her favorite
store. If Jennifer wants to order a shirt from the store that is originally $30, how much would
she have to pay for the shirt after the coupon?

Answers

Answer:

18$

Step-by-step explanation:

Whatever3443 pls help me someone is murdering me ✌

Answers

Answer:

i-

Step-by-step explanation:

Answer:

Oh no! I'm sorry!

Step-by-step explanation:

All of the following are equivalent, except

(12 + 3)x

12x + 3x

(12 + 3x)x

15x

Answers

All are equivalent expect (12x+3x)x

what is the range of a function h(w) = 19- 3w if the domain is {-4, -1,2,5}

Answers

The tukmmk;ga#p[kpgrakkgkpkgweODKG\LMA

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