Mathematics High School

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

pls help this is confusing. also who likes my cursor?​

Answers

Answer:

Here's the solution.

Step-by-step explanation:

Okay so,

12 with an exponent of 5 equals 248832 because you multiply 12*12*12*12*12.

12 with an exponent of 4 equals 20736 because you multiply 12*12*12*12.

Since it's division you use the inverse which is multiplication.

Therefore 248832×20736=5159780352

So 12 with an exponent of what number equals 5159780352?

12 with an exponent of 9.

To check your answer do 5159780352 divided by 248832 which equals 20736.

Therefore your answer would be C.

I hope this helps you understand and your cursor is cool, it's the yin yang symbol, correct? How did you do that?

Which mathematical property is illustrated? ab + c = c + ab

Answers

Answer:

Distributive Property

Step-by-step explanation:

a(b + c) = ab + ac

Answer:

Commutative property

Step-by-step explanation:

plz give brainliest lol

75.64 rounded to the nearest 10th

Answers

Answer:

75.6

Step-by-step explanation:

75.64 rounded to the nearest 10th is 75.6.

The tenths place is 0.6, and since the next number is not larger than 5, the number is rounded to 75.6.

Answer:

75.6

Step-by-step explanation:

75.64

The 6 is in the tenths place.

Drop all digits to the right of the 6.

75.6

Since the leftmost digit you dropped is a 4, the 6 does not go up 1 to 7, so the answer is

75.6

find the slope
!! help pls

Answers

Answer: 3

Step-by-step explanation:

Answer:

Rise 3

Run 1

Step-by-step explanation:

What is the y-intercept of the line y + 11 = –2(x + 1.5)?

Answers

Answer:

-14

Step-by-step explanation:

y + 11 = -2(x + 1.5)

y = -2(x + 1.5) - 11

y = -2x - 3 - 11

y = -2x - 14

Answer:

for the y-intercept, i got -14

Step-by-step explanation:

4% of 73 is what? how would u solve that ima lil slow?

Answers

Answer:

2.92

Step-by-step explanation:

4 percent *73 =

(4:100)*73 =

(4*73):100 =

292:100 = 2.92

Find x, the missing side length in the right triangle.
9
41
х

Answers

Answer:

x = 40

Step-by-step explanation:

Look at the attachment

HELP ME IM ON A TIMER
Mr. Tang created a number line for his class to use. Which point is a representation of =(-3)? A)Point A
B)Point B
C)Point C
D)Point D​

Answers

Answer:

Point A is the answer

Step-by-step explanation:

hope it helps you

Answer:

Point A

Step-by-step explanation:

I took the quiz. Hope this help!

X
0 1 2 3 4
frequency 4 6 18 7 1
Based on the table, what is P (2 > 1)?
Leave your answer in decimal form to three places.

Answers

Point 4 because it’s correct self explanatory

2). Bill has twice as many candies as Fred. Tim has 3 fewer than 3 times as many candles as Fred.
In all, they have 177 candies. How many do they each have?

Answers

Step-by-step explanation:

Answer:-

[tex]\tt{Let \ the \ candies \ taken \ by \ Fred \ be \ x.}[/tex]

Now, let's Solve!

So, according to Question,

Bill = 2x

Tim = 3x-3

Total Candies = 177.

[tex]\bf{x+2x+3x-3=177}[/tex]

Totalling x,

[tex]\bf{6x-3=177}[/tex]

[tex]\bf{6x=177+3}[/tex]

[tex]\bf{6x = 180}[/tex]

[tex]\boxed{\sf{x = 30}}[/tex]

So, Fred has 30 candies.

Bill's Candies = 2×30 = 60 Candies

Tim's Candies = 3×30-3 = 90-3 = 87 Candies.

Hope it helps :)

help needed!! i’m normally good with fractions but today i just can’t

Answers

Answer: for 5/6 (-8/15) = - 4/9

Answer:

- 40/90 or -4/9

Step-by-step explanation:

the answer will be negitive b/c  positive * negitive = negitive

5*8

= 40

that is the numerator

6*15

=90

that is the denominator

then add the - and the answer will be

-40/90

simplify and it is -4/9

ur welcome

18x (14 - 9) ÷[12 - (19 - 13)] = what is the answer​

Answers

Answer:

15

Step-by-step explanation:

18 . ( 14 - 9 ) ÷ [ 12 - ( 19 - 13 ) ]

18 . ( 5 ) ÷ [ 12 - 6 ]

90 ÷ 6

15

−7+3(−4e−3) equivalent expression

Answers

48.61938 if your awnser needs to be rounded up do so to get the correct awnser

Rosa bought some notebooks that cost $2 each. She also bought a compass that cost $3. She spent a total of $25. How many notebooks did she buy.

Answers

Answer:

10 notebooks

Step-by-step explanation:

Answer:

7 notebooks

Step-by-step explanation:

80 = 2 (8 + a)
HELP MEEEE

Answers

(8+32=40) 40*2 is 80 so your answer is 32

x ÷ 8 = 8
a: 16
b: 56
c: 62
d: 64​

Answers

Answer:

D. 64

Step-by-step explanation:

64 ÷ 8= 8

x=64.

also 8 x 8 equals 64.

Simplifying the following expression.​

Answers

Answer:

(x/4)(x-2)

(x-6)(x-3)

Step-by-step explanation:

PLEASE HELP IF YOU CANNNN

Answers

Answer:

Im pretty sure it would land in quadrant 2

Step-by-step explanation:

Nathan practices the piano 1316 minutes in 4 weeks. At what rate did she practice, in minutes per day?​

Answers

Answer:

47

Step-by-step explanation

4 weeks equals 28 days so you divide 1316 by 28

Answer:47

Step-by-step explanation:

PLEASE HELP ASAP. I BEG YOU

Answers

Answer:

Step-by-step explanation:

If any pair of

(i) alternate interior angles  are congruent   or

(ii) corresponding angles are congruent   OR

(iii) Co-interior angles are supplementary    OR

(iv) alternate exterior angles are congruent  

then the lines are parallel.

∠8 = ∠2    ;  ∠2 and ∠8 are alternate exterior angles.

As they are equal  l // m

2|4x-5|-2=-4 how do I solve this?​

Answers

Step-by-step explanation:

in my opinion

2(4x-5)-2=-4

=2×4x-2×5-2=-4

8x-10-2=-4

8x=-4+10+2

8x=-4+12

8x=-16(divide both sides by 8)

×=2

What is the slope of all lines parallel to the line 16x20y = 9?

Answers

Graph the line using the slope and y-intercept, or two points.
Slope:
−4/5

do you know how fast last years winner was traveling, the catamaran in sydney?

Answers

98 kilometres per hours

How can you use the graph of a quadratic equation to determine the number of real solutions of the equation?​

Answers

Answer:

Step-by-step explanation:

The number of real solution of a quadratic equation can be found from the number of x-intercepts on the graph. If the curve passes through the x-axis twice, (2 x-intercepts), then the equation has two real solutions.

If it passes through once, (the vertex is on x-axis), then there is one real solution, and if it does not touch the x-axis at all (floating above it or below it), then it has no real solutions.

Hope this helped!

What does (8+4n)2 equal??

Answers

Answer: =8n+16

PLEASE DO BRAINLIEST I EVEN EXPLAINED IT

Step-by-step explanation:

=(8+4n)(2)

=(8)(2)+(4n)(2)

=16+8n

=8n+16

Given the equation 2

Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution. (2 points)

Group of answer choices

x = 9, solution is not extraneous

x = 11, solution is extraneous

x = 9, solution is extraneous

x = 11, solution is not extraneous

Answers

Answer:

its none

Step-by-step explanation:

Need help don't know what to do!

Answers

Answer:

1) 15x+10=130 (corresponding angles)

15x=120

x=120/15

x=8

2) 60+128+x=180 (angle to straight line)

188+x=180

x=180-188

x=-8

3) 12x+8=13x+2

12x-13x=2-8

-x=-6

x=6

4) 115+16x+1=180 (co interior angles)

116+16x=180

16x=180-116

16x=64

x=64/16

x=4

HELP QUICK PLSS !!

How many terms are in this expression?

1 + 5t

Answers

Answer:

One

Step-by-step explanation:

There is only one letter there

Answer:

1t

Step-by-step explanation:

Roberto deposited 860 in a new account that earns 6.5% simple interest. after 6 months, how much interest will he have earned?​

Answers

Answer: $335.40

.....................................

Simplify.

[tex] {2}^{9} \times {2}^{5} = {2}^{?} [/tex]
Enter the missing exponent.
​

Answers

I think it’s 15 or 45 cuz you x it
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