Colton is taking a long bike ride where he rides at a constant speed. The distance he bikes is proportional to the amount of time he has been biking. After 3.5 hours, he has traveled a distance of 49 miles.(b) Colton travels at the same rate as in (a) for 6 hours. Let d be the distance he biked. Set up and solve a proportion for d. (c) Colton would like to bike 200 miles. Let h be the number of hours it will take Colton to bike this distance. Solve a proportion for h. Round to the nearest tenth of an hour.

Answers

Answer 1

Answer:

b) [tex]d[/tex] = 84 miles

c) [tex]h[/tex] = 14.3 hours

Step-by-step explanation:

Given that:

The speed of Colton is constant while riding a bike.

Formula for speed is given as:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

If speed is constant, then we can deduct that:

[tex]Distance \propto Time[/tex]

Time = 3.5 hours

Distance = 49 miles

Therefore, the speed will be equal to:

Speed = [tex]\frac{49}{3.5}[/tex] = 14 miles/hr

b) Given that:

Time = 6 hours, then we have to find the distance to be hiked if the speed is same.

[tex]14 = \dfrac{d}{6}\\\Rightarrow d = \bold{84}\ miles/hr[/tex]

c) Given that:

Distance = 200 miles

Number of hours = [tex]h[/tex]

To find, the value of [tex]h[/tex].

[tex]14 = \dfrac{200}{h}\\\Rightarrow h = \dfrac{200}{14}\\\Rightarrow h = \bold{14.3}\ hours[/tex]


Related Questions

(i) − ( + )_________________________________
(ii) − − ___________________________________
(iii) − − ____________________________________
(iv) − ________________________________
(v) −5y

Answers

Answer:

-5y

Step-by-step explanation:

We are to simplify the expression

5x - 5(y+x)

Open the bracket by applying the distributive law;

5x-(5(y)+5(x))

5x - (5y+5x)

5x - 5y - 5x

Collect like terms to have:

5x - 5x - 5y

0-5y

= -5y

Hence the simplified form is -5y

PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B.

Step-by-step explanation:

The original equation is cos 64 = 32/k. To solve for k we need to isolate it. we can multiply by k then divide by cos 64. This gives us the equation k = 32/cos 64. Therefore, B is the right answer.

Megan ran 9/12 of a mile and skips a 12th of a mile around the track how far around the track did Megan go in total use the benchmarks fraction 1/2 1 and 0 to help you estimate each answer before you solve

Answers

Answer:

She went a total of 5/6 of a mile around the track

Step-by-step explanation:

Here, we want to calculate the distance around the track travelled

From the question, we are told that she ran 9/12 of a mile and skipped 1/12

So the total distance covered will be;

9/12 + 1/12 = 10/12 = 5/6

Ray and 3 friends played with a remote-control car for a total of 105 minutes. They each played with the car for the same amount of time. Which statement about the amount of time Ray and his friends spent playing with the car is true?

Answers

Answer:

Time Taken by each = 26 min 15 sec

Step-by-step explanation:

Given:

Total time play = 105 min

Total number of friends = 1+3 = 4

Each play equal

Find:

Time Taken by each

Computation:

Time Taken by each = Total time play / Total number of friends

Time Taken by each = 105 / 4

Time Taken by each = 26 min 15 sec

What is the answer to this equation: 40+40-20x0+3+125=

Answers

Answer:

208

Step-by-step explanation:

20 × 0 = 0

40 + 40 = 80

125 + 3 = 128

The given expression [tex]40+40-20\times 0+3+125[/tex] is reduced to 208 and this can be determined by using the arithmetic operations.

Given :

Expression - [tex]40+40-20\times 0+3+125[/tex]

The following steps can be used to evaluate the given expression:

Step 1 - Write down the expression.

[tex]=40+40-20\times 0+3+125[/tex]

Step 2 - First, multiply -20 by 0 in the given expression.

[tex]=40+40-0+3+125[/tex]

Step 3 - Now, Add 40 and 40 in the above expression.

= 80 + 3 + 125

Step 4 - Add 80 and 3 in the above expression.

= 83 + 125

Step 5 - Add 83 and 125 in the above expression.

= 208

For more information, refer to the link given below:

https://brainly.com/question/1957976

Ratio of
Rs 2.25 to Rs 6.75

Answers

Answer:

2.25 : 6.75

divide by 0.25

9 : 27

1 : 3

25-20x+4x² heh help pls and hurry :((

Answers

25- 20x + 4x^2
=4x^2 - 20x + 25
=4x^2 - x(10+10) +25
=4x^2 - 10x - 10x + 25
=2x(2x - 5) - 5( 2x - 5)
=(2x - 5)(2x - 5)
=(2x - 5)^2

Answer:100 POINTS! (50 split up) PLSSSSSSSSSS HELP!!! I REALLY NEED IT SO MUCH :( I PROMICE TO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!

You measure the mass of an apple using a balance. You get these three measurements:

100

6 times a number less 2

Answers

Answer:

6n-2

is this what you needed??,

-1/2c+26-22 help ASAP plz

Answers

Answer:

−1/2c+4

Step-by-step explanation:

Combine Like Terms:

−1/2c+26+−22=(−1/2c)+(26+−22)=

−1/2c+4

Hope this helped :)

wich line represents-7x-13 > 8?​

Answers

Answer: 3rd one

Step-by-step explanation:Because I’m not from 63rd nahh jkjk I don’t have to explain its hard to

Explain

What is the image of the point (-6,-8) after a rotation of 90° counterclockwise about the origin? ​

Answers

Answer:

(6,-8)

Step-by-step explanation:

By rotating the point (-6,-8) Counterclockwise you get the point (6,-8)

Hope it helps

The new coordinates after rotation will be - P'(8, -6)

We have a Point on a X - Y plane as P(-6, -8) which is rotated by 90° counter clockwise about the origin.

We have to determine the image of this point after the rotation.

What do you understand by Rotation of a Point in X - Y plane?

A rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.

According to the question, we have -

A point with coordinates → P(-6, -8)

Any point (say A[x, y]) when rotated 90° counter clockwise about the origin, then its new coordinates become A'(-y, x).

Using this rule, the coordinates of the point after rotation of point by 90° counter clockwise about the origin will be → P'(8, -6)

Hence, the new coordinates will be - P'(8, -6)

To solve more questions on Rotation of points, visit the link below-

https://brainly.com/question/18099572

#SPJ2

What is the answer? ​

Answers

Answer:

B is the answer

B is the answer bro



Thanks. Hope it will help

The graph shows the amount of money left after buying video games. Find the slope of the line

Answers

Answer:

It’s -20

Step-by-step explanation:

The slope of the line is m = -20.

What is the slope?

The ratio of the vertical and horizontal changes between two points on a surface or a line is known as the slope.

Note that the graph passes through points (2,80) and (4,40).

The formula for the slope of a line passing through the points (x₁,y₁) and (x₂,y₂) is:

m = (y₂-y₁)/(x₂-x₁)

Substitute the points (x₁,y₁) = (2,80) and (x₂, y₂) = (4,40) into the above equation:

m = (40 - 80)/(4 - 2)

m = -40/2

m = -20

Hence, the slope of the line is m = -20.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

I will give brainliest
A small scoop holds 75% as much as a large scoop.



If the small holds 36 units, how much does the large hold?

Answers

The large scoop holds 48 units.
36/0.75 = 48

Answer:

Large scoop holds 48 units.

Step-by-step explanation:

Large:  x

Small:  .75x = 36

               x = 48 units

buna ,ma puteti ajuta

Answers

cu ce să va ajut?????

Kallie is selling lemonade and ice pops to raise money for a trip to the local water park. A cup of lemonade costs $0.75, and
an ice pop costs $1.25. She needs to raise at least $25. She knows she will sell more than 20 items. Set up a system of
inequalities, and determine if selling 20 cups of lemonade and 15 ice pops meets the constraints.

Answers

Answer:

1.25x+0.75y>25

x+y>20

Explanation:

Selling 20 cups of lemonade and 15 ice pops will raise enough money to go to the water park.

0.75x+1.25y≥25

Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.

Answers

Answer:

x- intercept is -2

y-intercept is 3

Step-by-step explanation:

x - intercept is x = -2

y intercept is y = 3

This is dealing with x and y intercepts of straight line graphs.

In straight line graphs, the y - intercept is simply the point where the line touches the y - axis while the x-intercept is the point where the line touches the x-axis.

From the graph given, the line touches the y-axis at y = 3 while it touches the x-axis at x = - 2

Thus;

x - intercept is x = -2

y intercept is y = 3

Read more at; brainly.com/question/4853862

what is x if a line passes though (2,5) ( x,3)

Answers

Answer:

x = - 2

Step-by-step explanation:

Givens

(2,5)

(x,3)

m = 1/2

Formula

m = (y2 - y1)/(x2 - x1)

Solution

y2 = 3

y1 = 5

x2 = x

x1 = 2

1/2 = (3 - 5)/(x - 2)                 Cross multiply

1*(x - 2) = 2 (-2)                      Combine and remove the brackets.

x - 2 = - 4                               Add 2 to both sides

x = - 4 + 2

x = - 2

Acellus
Give the equation for this line in
slope-intercept form.
slope = -2, y-intercept = 5
y ]
= [?]x + []

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope and c is the y-intercept. Since we already know the values, we can just put it into the equation.

y = mx + c

y = -2x + 5

Answer:

y = - 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 and c = 5 , thus

y = - 2x + 5 ← equation of line

There are 240 children at summer camp. They will travel by bus on a field trip. Each bus will hold a total of 50 students.

What is the minimum number of buses they will need?

Answers

They will need around 5 busses

A builder is building a fence with 6 LaTeX: \frac{1}{4}1 4 inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to build a fence that is 150 inches long?

Answers

Answer:

24 boards

Step-by-step explanation:

From the above question, the width of a wooden board for a fence = 6 1/4 inches

How many boards are needed to build a fence that is 150 inches long?

This is calculated as:

6 1/4 inches = 1 board

150 inches = x

Cross Multiply

6 1/4 × x = 150 × 1

x = 150 ÷ 6 1/4

x = 150 ÷ 25/4

x = 150 × 4/25

x = 24 boards

Hence, 24 boards would be needed to build a fence that is 150 inches long

Solve for x in the equation x2 + 20x+100= 36.

Answers

Answer:

-16, -4

Step-by-step explanation:

x² +20x +100 -36 = 0

x² +20x +64 = 0

x² -Sx +P =0, where S= sum of roots, P=product of roots

so what 2 numbers have

S= -20 and P = 64 , ...that ul be -4, -16

or you can use factoring:

( x+16) ( x+4) = 0

x+16 = 0 , x= -16

x+4 =0, x = -4

or you can do quadratic equation, or graph ...

Answer: The Answer is:

Fraction form: x= -32/11

Decimal form: x= -2.90909....

Step-by-step explanation:

1. Add similar elements: 2x+20x=22x

22x+100=36

2. Subtract 100 from both sides:

22x+100-100=36-100

3. Simplify:

22x=-64

4. Divide both sides by 22:

22x÷22=-64÷22

5. Your Answer:

x= -32/11

Which point could represent 5/5
.A
.B
.C
.D

Answers

Answer:

AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Yes it’s C because 5/3 is the same as 1.6

A wireless company offers two cell phone plans. For the month of September Plan A charges $35 plus $0.25 per minute for calls. Plan B charges $20 plus $0.50 per minute for calls. For what number of minutes do both plans cost the same amount?

i really need help

Answers

Answer:

3.75 minutes

Step-by-step explanation:

Set up an equation where x is the number of minutes:

0.25x + 35 = 0.5x + 20

Solve for x:

0.25x + 35 = 0.5x + 20

35 = 0.25x + 20

15 = 0.25x

3.75 = x

So, both plans will cost the same with 3.75 minutes

Complete the table using the equation y = 7x + 2.

Answers

Answer:

-5,2,9,16,23

Step-by-step explanation:

The answers are listed in the order of the boxes.

Last year my sisters closet lost $10,458 this year the company has lost $3,250 find the tow-year loss for the company

Answers

Answer:

$13,708 dollars lost total

Step-by-step explanation:

10458+3250=13708

help me please i will really appreciate it

Answers

Answer:

Step-by-step explanation:

120°

plzzz help me i give you points of you help​

Answers

3 because add the 72 and 62 and there you go

PLZ ANWSER WERTAY
anyody know math? and wanna be friends i need help with this The successor of

−22
is

−23

−21

23

21

Answers

Answer:

-21

Step-by-step explanation:

after -22 there comes-21 so successor of-22 is -21

which one is greater 8.002 or 8.20

Answers

Answer:

Step-by-step explanation:

It would be 8.20 because the 10 place is higher than the 10 place in 8.002

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