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

Graph y < x and y ≥ 4x + 2

Answers

Answer:

Image is attached.

Step-by-step explanation:

Remember since the blue line is greater than, instead of being dashed like the red line, it's solid.

The difference of y and 8.1 is 20.
Flnd the value of y.

Answers

Answer:

y = 28.1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Set Up Equation

"Difference" is subtraction

"y" is y

"8.1" is 8.1

"is" is equal

"20" is 20

y - 8.1 = 20

Step 2: Solve for y

Add 8.1 to both sides:                    y = 28.1

What should be done to both sides of the equation in order to solve n/4 = -12.4?
A. Multiply by 4.
B. Divide by 4.
C. Multiply by -12.4.
D. Divide by -12.4.

Answers

Answer:

I think is The little (D) -12.4.

the points (-5,4)and (1,r) lie on a line with slope -1. Find the missing coordinates r.

Answers

Answer:

R has to be -2

Step-by-step explanation:

So to find a slope the formula is written as

Y2-Y1/ X2 -X1

We know X1 and X2 and Y1.

If we plug those in and put Y2 as the variable ”r”

You’ll get

[tex]\frac{r-4}{1+5}[/tex]

Now make that equal to -1 since thats the slope

If you solve the equation it should get you -2

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.

What is the greatest possible whole-number length of the unknown side?
2 inches
3 inches
7 inches
9 inches

Answers

Answer:

c

Step-by-step explanation:

The greatest possible whole-number length of the unknown side among the option is 9 inches.

Obtuse triangle

Obtuse triangle is a triangle that has one of it internal angle greater than 90 degrees.

Triangle inequality theorem:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

If the sides of the triangles are x, y and z. Therefore,

x + y > z

x + z > y

y + z > x

Therefore, the greatest possible length among the option is 9.

Proof

12 + 14 > 9

12 + 9 > 14

14 + 9 > 12

learn more on triangle here: https://brainly.com/question/10373668

Someone help ill mark brainless

Answers

It’s B, because 0.9 x 25 - 4.5 = 18

Answer:

b) 18

Step-by-step explanation:

Plug in 25 for x in the equation.

ie: y=.9(25)-4.5

Then solve using a calculator.

The answer should be 18

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.
ANSWER: Kiran is jogging at 9.6 miles per hour.

Answers

Kiran is jogging at 9.6 miles per hour

a movie is advertised to last 2 1/3 hours. Of this time, 1/4 is used for showing previews. How long long is the actual movie?

Answers

Answer:

The movie is actually 3/28 hours.

Step-by-step explanation:

1

4

÷

2 1

3

=

1

4

÷

7

3

=

1

4

×

3

7

=

1 × 3

4 × 7

=

3

28

Solve for x

A. 27 B. 37 C. 30 D. 31​

Answers

Answer:

A

Step-by-step explanation:

i think

the sum of 1 and y is greater than or equal to 3 .

Answers

Inequality Answer: 1 + y ≥ 3

I hope this helps, and Happy Holidays! :)

help me plz (geometry)

Answers

i think it’s A ? i’m not completely sure tho

Answer:

I’m pretty sure it’s A

(x⁴ + 8x³ - 45x + 30) ÷ (x + 7)

Topic is Polynomials. Find the answer using long division. Please, provide detailed steps. ​

Answers

Answer:

Step-by-step explanation:

I added 3 images labelled Synthetic division 1 , 2 , 3 . I hope you understand this. It's really hard to type the method in the format so I used an online calculator symbolab.

Answer:

The quotient is: [tex]x^3+x^2-7x+4[/tex]

The remainder is: 2

Step-by-step explanation:

We need to solve the polynomials [tex](x^4 + 8x^3 - 45x + 30) \div (x + 7)[/tex]

by using long division.

The long division is done in figure attached.

The quotient is: [tex]x^3+x^2-7x+4[/tex]

The remainder is: 2

1.3472+1.1528=???
pls solve

Answers

Answer:         2.5

Step-by-step explanation:

PLS HELP ME ! ! ! ! !

Answers

Answer:

D (0, 2)

General Formulas and Concepts:

Algebra I

The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 3/4x + 2

Step 2: Break Function

Identify Parts

Slope m = 3/4

y-intercept b = 2

Write in terms of i . Simplify your answer as much as possible. Square root -27

Answers

Answer:

3i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-27}[/tex]

= [tex]\sqrt{9(3)(-1)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]

= 3i[tex]\sqrt{3}[/tex]

Please I really need help

Answers

Answer:

it would be 1/3

Step-by-step explanation:

Answer: 1/3 chance

Step-by-step explanation:

In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3

Among us code: QZUVDF

Answers

Answer:

cool imma join what is the map?

Answer:

aww man im too late

Step-by-step explanation:

vote me for homecomeing XD

2b + 9 when b = 3 I Really need help in math

Answers

Step-by-step explanation:

=2b+9

=2×3+9

=6+9

=15

hope it helps.

Rin can type 280 words in 7 minutes. At this rate, how many words can she type in 10 minutes?

Answers

Answer:

400 words in 10 minutes

Step-by-step explanation:

If you divide 280 by 7, you get 40. That means she can type 40 words per minute. 40 times 10 equals 400.

what is the improper fraction of 1 1/8

Answers

Your answer would be 9/8.

There’s one whole which is 8/8 plus the one left over which makes it 9/8.

hope this helps:)
brainliest?

42 students are going on a field trip and need to ride in a bus. Each bus can hold 4 students. How many buses will the students fill completely?

Answers

Answer:

11 buses

Step-by-step explanation:

Divide 42 by 4 to get 10 and a remainder of 2. The 2 students not on the bus need another bus so you need 10+1=11 buses

3 fewer than than a number ,p

Answers

Answer:

p - 3

Step-by-step explanation:

If the number is "p", it would be p - 3

Hope this answered your question! <3

Could someone help me with this one? I'm a tad stuck. I'll give brainliest to the correct answer!

Answers

Answer: 130 or a

Step-by-step explanation: 360-230=130

Answer:

130°

Step-by-step explanation:

First step you need draw a line from X to O and line Z to O. Both of them are radius.

as we know, radius and tangent line are always perpendicular. so the degree is 90° each.

shape of XYZO is kite with total of 360°

so the arc XZ have

360 - 50 - 90 - 90 = 130°

A letter is chosen at random from the letters of the word ASSASSINATION, then the probability that the letter chosen is a vowel is in the form of 6/2x+1, then find x.

Answers

Step-by-step explanation:

In the word "Assassination",

there are 13 letters in total and 6 vowels.

Probability of picking a vowel = 6/13.

Since 6/(2x + 1) = 6/13, 2x + 1 = 13, x = 6.

what is (–5) 2 and how do i solve

Answers

Answer:

(−5)2

Multiply −5 and 2 to get −10.

−10

Traveling upstream (against the current) in a boat, you can travel 35 miles in 7 hours. It
takes half the time (3.5 hours) to travel the same distance downstream (with the
current). Find the speed of the current.

Answers

Answer:

The speed of the current is 2.5 miles per hour

Step-by-step explanation:

Systems of Equations

Let's call:

B = velocity of the boat

C = velocity of the current

When traveling upstream, the current is against the boat thus the relative velocity is B-C.

The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:

d=(B-C)*7=35

Dividing by 7:

B - C = 5       [1]

When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:

d=(B+C)*3.5=35

Dividing by 3.5:

B + C = 10       [2]

Subtracting [2] - [1]:

2C = 5

C = 5/2 = 2.5

The speed of the current is 2.5 miles per hour

Graph the equation 4x+9-3/5=10xy^3-49. Then solve for the square root of x

Answers

Answer: 4x+9-3/5=10xy^3-49

Step-by-step explanation: x+9-3/5-(10*x*y^3-49)=0

STEP

1

:

Equation at the end of step 1

3

((4x + 9) - —) - ((2•5xy3) - 49) = 0

5

STEP

2

:

3

Simplify —

5

Equation at the end of step

2

:

3

((4x + 9) - —) - (10xy3 - 49) = 0

5

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

4x + 9 (4x + 9) • 5

4x + 9 = —————— = ————————————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4x+9) • 5 - (3) 20x + 42

———————————————— = ————————

5 5

1. 100= 125x^2 find x using logarithms

Answers

Answer:

Step-by-step explanation:

Answer:

x =2√55,−2√55

Decimal Form:  x=0.89442719…,−0.89442719…

Step-by-step explanation:

(05.01)A picture is 5 inches wide and 8 inches tall: A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches. A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? 40 in2 250 in2 100 in2 81.9 in2

Answers

Answer:

B. 250 in²

Step-by-step explanation:

Dimensions of the picture:

5 in and 8 in

Area of the picture:

5*8 = 40 in²

Scale factor = 2.5

Enlarged picture's area:

40*2.5*2.5 = 250 in² (scale factor affects both dimensions)

Option B is correct

The area of the picture after it is enlarged is 250 inches².

Given that,

The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.

A photographer wants to use a scale factor of 2.5 to enlarge a picture.

Based on the above information, the calculation is as follows:

Here, the dimensions of the picture are 5 in and 8 in

Hence, the area of the picture is,

5 × 8 = 40 in²

Since, Scale factor = 2.5

So, the enlarged picture's area would be,

40 × 2.5 ×2.5

= 250 in²

To learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ6

Which number(s) are 6 units from zero on a number line?
0-6
m 12
M6
03
SUBMIT ANSWER
ASK FOR HELP

Answers

Answer:

Josie is training for a race. The ratio of

the number of minutes she runs to the

number of miles she runs is 24 to 3.

She plans to run 10 miles. How many

minutes will it take her?

2 A chef planning for a large banquet

thinks that 2 out of every 5 dinner

guests will order his soup appetizer.

He expects 800 guests at the banquet.

Use equivalent ratios to estimate how

many cups of soup he should prepare.

3 Fred is making a fruit salad. The ratio

of cups of peaches to cups of cherries

is 2 to 3. How many cups of peaches

will Fred need to make 60 cups of

fruit salad?

4 A community garden center hosts a

plant giveaway every spring to help

community members start their

gardens. Last year, the giveaway

supported 50 families by giving away

150 plants. Based on this ratio, how

many plants will the center give away

this year in order to support 65 families?

5 The first week of January, there are

49 dogs and 28 cats in an animal shelter.

Throughout the month, the ratio of dogs

to cats remains the same. The last week

of January, there are 20 cats in the

shelter. How many dogs are there?

6 A wedding planner uses 72 ivy stems

for 18 centerpieces. When she

Step-by-step explanation:

i think

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