Bob is hiking down a 12-mile country trail. He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?

Answers

Answer 1

Answer:

The first option will take a total of 3.2 hours while the second option will take just 3 hours

This shows that the second option is faster

Step-by-step explanation:

Here, we want to compare two hiking options and see the one which is faster.

At any point in time;

Distance = speed * time

In the first option, he could hike at 3 mph for two hours.

Total distance covered would be 3 * 2 = 6 miles

Distance left = 12 miles - 6 miles = 6 miles

Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours

Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours

For the second option;

Time = distance/speed = 12 miles/4 mph = 3 hours

We can see that the second option is faster

Answer 2

Here, we are required to determine how long each of the options take and which of the 2 options is faster .

Therefore;

Therefore;Option 1: 3.2hours

Therefore;Option 1: 3.2hoursOption 2: 3hours.

Therefore;Option 1: 3.2hoursOption 2: 3hours.Ultimately, since option 2 takes 3hours and option 1 takes 3.2hours to hike down the distance respectively, Option 2 is faster.

Total hiking distance = 12 miles

For first option;

He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph. The statement above suggests that after the first 2 hours, 6 miles will have been covered and the remaining 6 miles can be covered at 5mph in (6/5)hours = 1.2hours.Therefore, the total time taken using this option is;(2 + 1.2) hours = 3.2hours.

For second option;

He could go the whole way at 4mph.At this pace, he is able to travel the whole 12mile hiking distance in (12/4)hours.Therefore, the total time taken using this option is; 3hours.

Therefore;

Option 1: 3.2hoursOption 2: 3hours.

Ultimately, since option 2 takes 3hours and option 1 takes 3.2hours to hike down the distance respectively, Option 2 is faster.

Read more:

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Related Questions

how do i graph negative square roots on a number line​

Answers

Answer:

see below

Step-by-step explanation:

On the real number line you can't

to graph them you have to make a Cartesian plane

with x= the real numbers

and y= the imaginary numbers

A student runs 100 meters in 11 seconds. What is the speed of the student in miles?

Answers

Answer:

0.00565 miles / second

Step-by-step explanation:

1 mile = 1609.344 meters

100 meters = 100/1609.344 = 0.0621 miles    (aprox)

100 meter/ 11 seconds = 0.0621miles / 11 seconds

= 0.00565 miles / second

Find the slope of the line passing through the points (-18, -5) and (-19, -13)​

Answers

Answer:

Let (-18, -5) be (x1,y1)

(-19, -13) be (x2,y2)

slope = (y2-y1)/(x2-x1)= (-13+5)/(-19 +18) = 8

Answer: The slope is 8.

Step-by-step explanation: To get the slope you have to do y2 - y1 over x2 - x1. so you take the -5 and subtract -13 from it, which equals 8. Then subtract -19 from -18 which is 1. So you have 8/1 which is 8.

The musical theme was first introduced by the

Answers

Answer:

entire orchestra I'm gonna say

Simplify the expression
7 + 10(x + 8)

Answers

Answer:

87+10x

Step-by-step explanation:

7 + 10(x + 8)

7 + 10x+80

87+10x

I hope this helps :)

The answer your looking for is 87+10x

2. Which of these graphs represents a function?

Answers

Answer:

I think the first one.

Step-by-step explanation:

A bag holds 12 red marbles, 11 green
marbles, 17 blue marbles, and 5 yellow
marbles. What is the probability that
you will NOT choose a blue marble?
5
A
45
(В)
11
45
12
© 45
28
45

Answers

Answer:

62.22%

Step-by-step explanation:

First, find how many total marbles there are:

12 + 11 + 17 + 5

= 45

Then, find how many marbles that are not blue:

12 + 11 + 5

= 28

Then, divide 28 by 45, and multiply by 100

(28/45) x 100

= 62.22% is the probability of not choosing a blue marble

Y/T = 28/45 = 62%
Y=yes
T=total

11. Point A(-2,9) is rotated 180 degrees what is the value of A'? *
A (-9,-2)
A'(-2,-9)
A (9,2)
A(-9,2)
O A' (2,-9)
HELPPP QUICK

Answers

(2,-9) because it turns 180 degrees meaning your going to rotate it twice.

It should be (2, -9). When rotating 180° you always make the x and y the opposite, so you take the opposite of -2 and the opposite of 9 to get (-2, 9). Hope this helps!

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Answers

I hope this helped. You just needed to divide it by 2

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Answers

Answer:

Step-by-step explanation:

2x + 1 + x + 23 = 180

3x + 24 = 180

3x = 156

x = 52

2(52) + 1 = 104 + 1 = 105

52 + 23 = 75

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Answers

The answer is 52 if it’s wrong I’m so sorry but my calculations said 52 the math was hard but it’s 52

Answer:

Step-by-step explanation:

524-6x3+52-(12÷2)

Multiplique los números

524-18+52- (12÷2) paso tres divida los números 524-18+52-6calcula la suma o resta 524-18+52-6=552solución=   x = 552

The ratio of white cars in the parking lot to
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How many black cars are there?

Answers

Answer:84

Step-by-step explanation:

you multiply each side by 12. That gets you 60 white cars and 84 black cars. 60 is 24 less than 85

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Answers

Answer:

99

Step-by-step explanation:

5x^2 -4x -9

5(-2)^2 -4(-2) -9

-10^2 +8 -9

100-1

99

what is the value of the expression below when x=8? 9x-5

Answers

72-5=67 there is your answer

Answer:

67

Step-by-step explanation:

9x−5

x=8

9(8)−5

72−5

=67

1. M=? J=? K=?

2. N=?

3. ( did not know how to crop, please ignore this question! )
Thank you so much!

Answers

Answer:

See Explanation

Step-by-step explanation:

m = 46° (vertical angles)

j = 92° (vertical angles)

j + k + 46° = 180° (staright line angles)

92° + k + 46° = 180°

138° + k = 180°

k = 180° - 138°

k = 42°

n = 37° + 44° = 81°

Can someone answer fast?

Which of the following rules describes the function graphed below?

I have no idea how to do this

Answers

Answer:

I would say c im not 100% sure sorry if i got it wrong

Step-by-step explanation:

What is the answer to -2r-4r=0

Answers

Answer:

r = 0

Step-by-step explanation:

First, combine like terms:

(-2r - 4r) = 0

(-6r) = 0

Isolate the variable, r. Divide - 6 from both sides:

(-6r)/-6 = (0)/-6

r = 0/-6 = 0

r = 0 is your answer.

~

Answer: R=0

Step-by-step explanation:

WILL MARK BRAINLIEST IF RIGHT NEED IT ASAP
Evaluate the expression for j = 5.
2j^2 =

Answers

Answer:

50

Step-by-step explanation:

your expression: 2j²

plug in j = 5: 2(5)²

solve for the exponent: 2(25)

multiply: 50

Answer: 50

Step-by-step explanation:

To evaluate the expression, you want to plug j into the expression and solve.

2(5)²               [exponent]

2(25)             [multiply]

50

After plugging in j=5, we found that the expression is equal to 50.

Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum.
• Write an expression to represent Max's number.

Answers

Answer:

2(n+8)

sum is 30

Step-by-step explanation:

Answer:

2(n+8)

Step-by-step explanation: taking quiz right now

Please Answer ASAP According to the table, which ordered pair is a local maximum of the function, f(x)? (0, 64) (3, –35) (5, 189) (2, 0)

Answers

the ordered pair that represents a maximum is (5,189)

Let b represent the hours Liz spends babysitting. Let t represent the number of hours she spends tutoring. Given that Liz can work at most 12 hours per week, write an inequality that models the number of hours she spends babysitting and tutoring in a week.

Answers

So if b is hours for babysitting, and t is for tutoring she works 12 hours so it would be 12=b+t

Answer:

b+t < 12 (< has a line under it)

Step-by-step explanation:

Liz can work at most 12 hours per week. So, add the number of hours she spends babysitting, b, and the number of hours she spends tutoring, t, in a week, and represent the sum as less than or equal to 12:

b + t < 12

Also I just got done doing this problem my self

Probability.

!!!!!!!!!!!!!!
will mark brainliest

Answers

Answer:

2/9ths hope this helps!

Please mark brainliest.

Step-by-step explanation:

A rabbit population is modeled by y = 20/1+4e^-0.5t, where y is the number of rabbits after t months. How many rabbits were there initially?

1
4
20
50

Answers

Answer:

It's B 4

Step-by-step explanation:

i just took the test

Answer:

4

Step-by-step explanation:

2x=y=6
X+2y=-2
Solving system of equations

Answers

im assuming you meant 2x + y = 6 instead of 2x = y = 6

answer:
x = 14/3
y = -10/3

step by step explanation:
2x + y = 6
x + 2y = -2
solve for y in the first equation
y = 6 - 2x
plug y into the second equation
x + 2(6 - 2x) = -2
-3x + 12 = -2
-3x = -14
x = 14/3
plug into the y equation
y = 6 - 2(14/3)
y = -10/3

Someone please help me out with this question ASAP thank u

Answers

Answer:

Yes, it is AC.

Explanation:

There’s no other way of naming it.

The other way for ca is ac

Write the Linear Equation in Point-Slope Form for a line that has a slope of
-10 and passes through the point (8,2). *

Answers

Answer:

y = -10x + 82

Step-by-step explanation:

Plug in the slope and point into y = mx + b to solve for b:

y = mx + b

2 = -10(8) + b

2 = -80 + b

82 = b

Then, plug b and the slope into y = mx + b

y = -10x + 82 is the equation in point slope form.

Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest form. a1 = – 25 an = an–1–14 an=

Answers

Given :

[tex]a_1=-25[/tex] .

[tex]a_n=a_{n-1}-14[/tex] .

To Find :

The general equation of [tex]a_n[/tex] .

Solution :

We know , when difference between any two consecutive terms in an A.P is equal , then the series is in arithmetic progression .

Now , common difference ,

[tex]d=a_n-a_{n-1}\\\\d=-14[/tex]

Also , first term is -25 .

Now , general term of an A.P is given by :

[tex]a_n=a+(n-1)d\\\\a_n=-25+(n-1)(-14)\\\\a_n=-25-14n+14\\\\a_n= -11-14n[/tex]

Hence , this is the required solution .

POSSIBLE POINTS: 1
Which of the following situations involve opposite quantities combing to make 0 ?
Stella has a new piggy bank. She adds 3 quarters on Tuesday and then adds another 3 quarters on Thursday.
Devon opens a new checking account with $30. His first purchase made with his new debit card, totals $28.
Joe makes 1 1/2 liters of lemonade and drinks it all during the afternoon.
Brittany is writing a novel. She wrote 4 new pages to finish Chapter 1. When she reviews Chapter 1, she discards these 4
pages and an additional 4 pages.

Answers

Answer:

2) Joe makes 1 1/2 liters of lemonad and drinks it all during the afternoon.

Step-by-step explanation:

1.5 - 1.5=0

The scale is 1:500 the students cell model has a length of 15 Cm.
How many cm is the real cells length
A. 33cm
B. 0.002
C. 0.03
D. 7500 cm

Answers

Answer:

Option C - 0.03 cm

Step-by-step explanation:

The model has a length of 15 cm.

Now, we are told that the scale is 1:500. This means that 1 unit is represents 500 cm on the model.

Since the length on the model is 15 cm which is 15 units, then the true length would be;

15 × 1/500 = 0.03 cm

Therefore, the true length is 0.03 cm.

Option C is correct

Answer:

0.03 cm

Step-by-step explanation:

What’s -86.4 divided by 3.2

Answers

Answer:

-27

Step-by-step explanation:

Answer:-27

Step-by-step explanation:

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