Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take?

Answers

Answer 1

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Answer 2

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Step-by-step explanation:


Related Questions

A right rectangular prism has a height of 2 1/2 inches, a width of 3 1/2 inches, and a length of 5 1/4 inches. What is the volume of the prism?

Answers

The answer is 30 V=whl=3·2·5=30

help mesothelioma this pleaseeee

Answers

For this question I think the answer would be a :)

2/5 divides by -4/7=?
Can I please get a specified answer?

Answers

Answer:

7/10

Step-by-step explanation:

(2/5)%(-4/7)

We will change the second fraction to make multiplication

So it will be 2/5×-7/4

=. -14/20

= -7/10

Cuanto es 200 mas 30

Answers

230 hope this helps!

Answer:

230

Step-by-step explanation:

230

The population of Busy Village is 3 X 108, and the population of Boring Town is 6 X 103.
Busy Village is how many times the population of Boring Town?
Express your answer in proper scientific notation.

Answers

Answer:

5 × 10^4 times

Step-by-step explanation:

Busy Village: 3 × 10^8Boring Town: 6 × 10^3

Busy Village is how many times the population of Boring Town?

3 × 10^8 / 6 × 10^3=30 × 10^7 / 6 × 10^3 =30/6 × 10^(7 - 3) = 5 × 10^4 times

Tell a folk story about the history of irrational numbers. Research what is known about irrational numbers, their development, and why they are important.

Answers

Answer:

The history of irrational numbers, The discovery of irrational numbers is usually attributed to Pythagoras, more specifically to the Pythagorean Hippasus of Metapontum, who produced a (most likely geometrical) proof of the irrationality of the square root of 2. The story goes that Hippasus discovered irrational numbers when trying to represent the square root of 2 as a fraction. However Pythagoras believed in the absoluteness of numbers, and could not accept the existence of irrational numbers. He could not disprove their existence through logic, but his beliefs would not accept the existence of irrational numbers and so he sentenced Hippasus to death by drowning. Irrational numbers are important because without it we wouldn't have the continuum of real numbers which would make geometry impossible to do in life.

Step-by-step explanation:

EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer:

3

Step-by-step explanation:

up 3, right 1

rise over run 3/1 = 3

Answer:

1/3

Step-by-step explanation:

Rise =  1

Run     3

Jordan is mixing water and flour to make tortillas. The
number of cups of water, w, needed for f cups of flour
is described by the equation w= = 0.75f
How many cups of water are needed to mix with 4 cups
of flour?
Please help!!!

Answers

Answer:

w = 3 cups when f = 4 cups

Step-by-step explanation:

Given:

w = 0.75f

Where,

w = number of cups of water

f = number of cups of flour

Find w when f = 4 cups

w = 0.75f

Substitute f = 4 into the equation

= 0.75(4)

= 3

w = 3 cups when f = 4 cups

An infinite number of ratios are equivalent to 3:8. How can that be possible, when the multiplication table only goes to 9?
please help due to tomorrow and I need to finish it

Answers

Answer:

Step-by-step explanation:

You can have an infinite number of ratios are equivalent to 3:8 if you multiply this fraction by a fraction equivalent to   1 ( for example 2/2   3/3   4/4....)

3/8 x 2/2 = 6/16

3/8 = 0.375

6/16= 0.375

Answer:the other person got to it before me

Step-by-step explanation:

Write the equation in point-slope form of the line that passes through the given points. Then write the equation in slope-intercept form.
(-6,6),(3,3)

Answers

Answer:

point-slope form:  [tex]y-3=-\frac{1}{3}(x - 3)[/tex]

slope-intercept form: [tex]y=-\frac{1}{3}x+4[/tex]

Step-by-step explanation:

point-slope form is: y - y1 = m(x - x1)

slope-intercept form is: y = mx + b

The formula used to find the slope(m): [tex]\frac{y2-y1}{x2-x1}[/tex]

(x1, y1) = (3, 3)

(x2, y2) = (-6, 6)

The first thing we need to do to write the equations is to find the slope. We can do this by inputting the given points into the slope formula:

[tex]\frac{6-3}{-6-3}[/tex]

Simplify:

6 - 3 = 3

-6 - 3 = -9

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

The slope is [tex]-\frac{1}{3}[/tex]. We can now write the equation in point-slope form:

[tex]y-3=-\frac{1}{3}(x - 3)[/tex]

To write the equation in slope-intercept form, we need to find the value of b. To find its value, input the value of the slope and one point into the equation for slope-intercept form:

y = mx + b

3 = [tex]-\frac{1}{3}[/tex](3) + b

Now you can solve for b:

3 = [tex]-\frac{1}{3}[/tex](3) + b

3 = -1 + b

4 = b

Now that we know the value of b, we can write the equation in slope-intercept form:

[tex]y=-\frac{1}{3}x+4[/tex]

I hope this helps. :)

Equation in point-slope form of the line that passes through the given points (-6,6) and (3,3) is y=-1/3x+4.

What is slope of line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

The given two points are (-6,6) and (3,3)

x1=-6, y1=6, y1=3 and y2=3

m=y2-y1/x2-xq

m=3-6/3-(-6)

m=-3/9

m=-1/3

Hence slope of line is m=-1/3

To write the equation in slope-intercept form, we need to find the value of b. To find its value, input the value of the slope and one point into the equation for slope-intercept form:

y = mx + b

3=-1/3(3)+b

4=b

Now that we know the value of b, we can write the equation in slope-intercept form:

y=-1/3x+4

Hence equation in point-slope form of the line that passes through the given points (-6,6) and (3,3) is y=-1/3x+4.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Help me!! Due tonight I’m asking for help and if you go to my account I have another question I need help with I think I have 100 points if you help me! I will mark brainliest

Answers

Answer:

(-2,0)

Step-by-step explanation:

intercepts at (-2,0) horizontally. look at the graph

Answer:

The y-intercept is -5

G.

Step-by-step explanation:

The y-intercept is where a line crosses the y-axis, which in this case is at -5.

First, we need to find how much Beatrice earns each month, so you need to find the difference between the two- and four-month amount and divide by 2, which gives you 150. So, we know she gets 150 dollars each month. Multiply that by two to get 300, and subtract that from 850 to see how much she was awarded in the beginning, which was 550. So, the answer is G.

I need help on this problem..please and thanks u

Answers

Answer:

A is on a line with the slope of 2/3

Step-by-step explanation:

the rule is that you do y2-y1 over x2-x1 which you do 4-2 over 8-5 and your final answer you would get 2/3.

hope this helped!

i am new here and my name is arrianna call me arri for short

Answer:

a

Step-by-step explanation:

La densidad del etanol es 0.79 gr/ml. Calcula la masa del etanol 25.7 ml del etanol.

Answers

Answer:

If you didn't know what the question was, here is the translation:

The ethanol density is 0.79 gr / ml. Calculate the mass of ethanol 25.7 ml of ethanol.

what is 12 to the power of 0 simplified?

Answers

Step-by-step explanation:

the answer is 1

x^0 = 1

12^0 = 1

im not that sure

if x:4 = 16:x,then the positive of x is​

Answers

Answer:

x = 8

Step-by-step explanation:

Ratios can be expressed in fractions as well

x:4 = ˣ⁄₄

so we can solve this using fractions

x:4 = 16:x

ˣ⁄₄ = ¹⁶⁄ₓ

x² = 64

x = 8

(2x2 - 4xy + 2y2) (3x-4)

Answers

Answer:

Work shown below!

Step-by-step explanation:

[tex](2x^{2} -4xy+2y^{2})(3x-4)=6x^{3}-8x^{2}-12x^{2}y+16xy+6xy^{2}-8y^{2}[/tex]

24% of students buy lunch. 190 students bring lunch from home. How many students are in the sixth grade?

Answers

Answer:

45.6

Step-by-step explanation:

24% out of 190 = 45.6

The correct answer is 250 students.

In an 11 team soccer league, each team plays once what is the total amount of games played?

Answers

Answer:

22

Step-by-step explanation:

11 x 2 = 22

22 teams played

Geometric Series (attached image) muiltx choice

WILL GIVE THANKS !!

Answers

Answer:

Step-by-step explanation:

(B). - 28.7

Line AB contains points A (−1, 3) and B (5, 3). Line AB has a slope that is

Answers

Line a B divide that by -13 so it’s probably be (5,3)

PLEASE HELP!!!!!! Which system of equations represents the following situation?

Mrs. Stephens bought 3 containers of yogurt and 5 oranges for $2.79. The next week she bought 4 containers of yogurt and 7 oranges for $3.81, at the same prices.

Answers

The answer is c explanation took test

Find the slope of the line that goes through the points (8,13) and (3,6).

Answers

Answer:

7/5

Step-by-step explanation:

The slope equation is y2 - y1/x2 - x1

Answer:

7/5

Step-by-step explanation:

Use slope formula:

m = (6 - 13)/(3 - 8) = -7/ -5 = 7/5

Hope this helps!

Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo concentrate for every 9 cups of water. Devin will use 36 cups of water.

How much shampoo concentrate should Devin add to the water to make the shampoo solution?

cups of shampoo concentrate

Answers

Answer:

8 Shampoo Concentrate

Step-by-step explanation:

There's a ratio of 9:2 so for every 9 cups of water there's two cups of shampoo concrete.

We'll need 9 multiplied by 4 is 36

so we need to multiply 2 with 4

4 multiplied by 2 is 8

Answer:

8. is the answer

Step-by-step explanation:

find the value of the variable: 9m - 19 = 8

Answers

Answer:

m=3

Step-by-step explanation:

9m-19=8.

9m=27. Add 18 on both sides

m=3 divide by 9 on both sides

Hope this helps plz mark brainliest :D  

Answer:

3 = m

Step-by-step explanation:

9m - 19 = 8

      +19 +19

9m = 27

9 divided by 9 is m

27 divided by 9 is 3

I'm on my sisters account and I'm in 4th grade my sis is in school help please giving brainliest

Answers

Answer:

Pretty sure its 1/6

Step-by-step explanation:

Rewrite y-5= 4(x+2) in standard form.

Answers

Answer:

4x+y=−3

Step-by-step explanation:

simplify −4(x+2).

Apply the distributive property.

y−5=−4x-4⋅2

Multiply −4 by 2.

y−5=  --4x−8

Move all terms containing variables to the left side of the equation.

4x+y=−3

Answer:

I will try and give you the answer

3x - 7 = 29
What is x

Answers

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

3x - 7 = 29

Step 2: Solve for x

Add 7 on both sides:                    3x = 36Divide 3 on both sides:                x = 12

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    3(12) - 7 = 29Multiply:                        36 - 7 = 29Subtract:                       29 = 29

Here we see that 29 does indeed equal 29.

∴ x = 12 is a solution of the equation.

You plant a spruce tree that grows 4 inches per year and a hemlock tree that grows _____ inches per year. The initial heights are shown. Write a system of linear equations that represents this situation.

Answers

Complete Question:

You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.

The initial heights are shown.

Write a system of linear equations that represents this situation.

Answer:

[tex]s(x) = 8 + 4x[/tex]

[tex]h(x) = 14 + 6x[/tex]

Step-by-step explanation:

Given

Spruce Tree (s):

[tex]Initial\ Height = 8[/tex]

[tex]Growth = 4[/tex] (yearly)

Hemlock Tree (h):

[tex]Initial\ Height = 14[/tex]

[tex]Growth = 6[/tex] (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

[tex]Equation = Initial\ Height + Growth * x[/tex]

For Spruce Tree (s):

[tex]s(x) = 8 + 4 * x[/tex]

[tex]s(x) = 8 + 4x[/tex]

For Hemlock Tree (h):

[tex]h(x) = 14 + 6 * x[/tex]

[tex]h(x) = 14 + 6x[/tex]

Hence, the equations are [tex]s(x) = 8 + 4x[/tex] and [tex]h(x) = 14 + 6x[/tex]

Solve P= 2B + 2M for B

Answers

Answer:

B = P/ 2 − M

Step-by-step explanation:

Answer it guys please​

Answers

These are two triangles each triangle has a sum of 180 degrees so 55+58=113
180-113=67
67 is more than 64
So WY is bigger than YZ
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