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.

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Related Questions

1. The math team held several fund-raising activities during the school year. Some
activities made money and some lost money. The profit or loss for each activity is
shown in this table.
Activity Profit / Loss
Game Booth at Dance S150 profit
Stretchable Book Cover Sales S130 profit
Candy Sales
$145 loss
Car Wash
5175 profit
Pencil Sales
$115 loss
Spirit Button Sales $110 loss
A Place these profit/loss numbers in order from LEAST to GREATEST.

Answers

Have fun with me taking points

make r the subject of the formula t=[tex]\frac{r}{r-3}[/tex]

Answers

Answer:

[tex]\displaystyle r=\frac{3t}{t-1}[/tex]

Step-by-step explanation:

We are given the formula:

[tex]\displaystyle t=\frac{r}{r-3}[/tex]

And we are asked to make r the subject of the formula.

We can multiply both sides by r - 3. This reduces the denominator on the right-hand side:  

[tex]t(r-3)=r[/tex]

Distribute:

[tex]rt-3t=r[/tex]

Subtracting rt from both sides yields:

[tex]-3t=r-rt[/tex]

Factoring:

[tex]-3t=r(1-t)[/tex]

Divide and simplify:

[tex]\displaystyle \begin{aligned} r & = \frac{-3t}{1-t} \\ \\ & = \frac{3t}{t-1}\end{aligned}[/tex]

In conclusion:

[tex]\displaystyle r=\frac{3t}{t-1}[/tex]

Exercice 1 Quel est le nombre 100 fois plus petit que 7 453 ? ……………………………….. Quel est le nombre 100 fois plus grand que 12,677 ? …………………………… Exercice 2 Sachant que 38 12 = 456, calculer 3800012. 3800012 = ……………………. Exercice 3 Pour chaque opération proposée dans la première colonne, cocher la case correspondant à l'ordre de grandeur du résultat. Opération 1 10 100 1 000 10 000 118 98 43,5 + 873 902 – 5,7 8 980 0,1 87,63 : 8 Exercice 4 La flèche ci-dessus indique un nombre de l'axe gradué. Quel est ce nombre : 0,20 ? 0,37 ? 0,62 ? 0,75 ? Réponse : ………….. Exercice 5 Encadrer chaque nombre proposé par deux nombres entiers consécutifs. < 7 999, 101 < < 98,6 < < 20,69 < Exercice 6 Quelle écriture ne correspond pas au nombre 7,89 ? (Entourer la bonne réponse) 78910 ; 7+810+9100 ; 3,240 + 4,65 ; 7 unités et 89 centièmes

Answers

Can you say that in English

I need help with math please

Answers

Answer:

47/30

Step-by-step explanation:

2.35 * 2/3 =

= 2 35/100 * 2/3

= 2 7/20 * 2/3

= 47/20 * 2/3

= 94/60

= 47/30

Answer:

47/30

Step-by-step explanation:

what is b ? -14 - 5b + 2b = -2 - 2(1 - b)

Answers

Answer: B = -2

Step-by-step explanation:

-14 - 5b + 2b = -2 - 2(1 - b)

-14 -3b = -2 -2 + 2b

-14 - 3b = -4 + 2b

-10 = 5b

b = -2

I'm bad at explaining

Answer:

b = -2

have fun

Another one help please

Answers

there must be subtraction of multiplication of each two diagonal,

|G|=[12×2-(-6)×0]

=(24+0)

=24ans

Answer:

Option B). 24

Explanation:

Refer to the attachment for your solution.

Can someone please explain to me how I solve a problem like this? I'm learning about proving parallel Lines right now. Thank you!

Answers

Answer:

x = 12

I apologize if it is wrong.

how can you use number patterns to find the least common factor

Answers

Answer:

The correct answer is: 360.

Explanation:

First we can express 120 as follows:

2 * 2 * 2 * 3 * 5 = 120

You can get the above multiples as follows:

120/2 = 60

60/2 =30

30/2 = 15

15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)

5/5 = 1

Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)

Second we can express 360 as follows:

360/2 = 180

180/2 = 90

90/2 =45

45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)

15/3 = 5

5/5 = 1

Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)

Now in (1) and (2) consider the common terms once and multiple that with the remaining:

2*2*2*3*5 = Common between the two

3 = Remaining

Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)

grade 7. i actually already learnt this but this whole quarantine thing made me forget lolz. what are factors?
example : is 3 a factor of 372?
please answer and explain <3​

Answers

Answer:

A number in a multiplication equation that makes up the total. For example,

2 x 3= 6.

2 and 3 are the factors.

Answer:

A factor is basically a number that derives from another without leaving a remainder. It sounds somewhat confusing when put into words but I'll give you some examples.

Step-by-step explanation:

in the problem you stated the answer would be yes. 3 is a factor of 372 because you can multiply 3 times another number (which in this case is 124) to get 372.

In addition, a number can have several factors. For example, these are all the factors for the number 10: 1, 2, 5, 10

notice how all these numbers multiplied by another of these same numbers on the list give you 10.

hope this helped :)

HELP ME PLEASE

Phil collected data from several of his friends about the number of hours they spent sleeping
and the number of hours they spent playing video games on Saturday. He recorded the data in the scatter plot.





Based on the scatterplot, what is the best prediction of the number of hours one of Phil's
friends spends sleeping when the friend spends 1 hour playing video games?

Answers

Answer: I just did the test so therefore the answer would be 9 hours

Step-by-step explanation: hoped this helped thx for the points :D

Write an equation of the line in slope-intercept from?

Answers

Answer:

[tex]y=-\frac{3}{2}x+2[/tex]

Step-by-step explanation:

This is for the first question.

Slope-intercept is:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We are given the slope of [tex]-\frac{3}{2}[/tex] and a y-intercept of 2.

Plug in the values:

[tex]y=mx+b\rightarrow\boxed{y=-\frac{3}{2}x+2}[/tex]

Hope this helps.

what is 5/6 + 4/6 + 1/6?

Answers

the correct answer is 1 5/6

Answer:

The answer would be 1 2/3.

Step-by-step explanation:

First: (Add)

5/6 + 4/6 +  1/6 = 10/6.

Leaving the denominator the same.

Next: (Breakdown)

6 can go into 10, 1 time. With 4 more left. Which is 1 4/6.

Then the numerator and denominator can be divided both by 2. Which equals 1 2/3.

f(x) = x2 + 8x-9
What is the factored form

Answers

Answer:8x+x2-9

Step-by-step explanation:

Shawn is packing these two boxes with food collected during his schools canned food drive. which expression represents the total volume of the two boxes?

Answers

Answer:

27x^3+48x^2-99x

Step-by-step explanation:

The total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

Two rectangular box are shown in the picture.

The volume of the rectangular box = length×width×height

The total volume of the two boxes = (x+3)(x+5)3x + 2x(3x+9)(4x-8)

After simplification:

= 3x³ + 24x² + 45x + 24x³ + 24x² - 144x

= 27x³ + 48x² - 99x

Thus, the total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.

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what is the inverse of f(x) = -10x - 2

Answers

Answer:

f^-1(x)-(x/10)-(1/5).

Hope this helps!

Step-by-step explanation:

(See picture for explanation!)

write 8 as the whole number 11 is the numerator 20 is the denominator write it as a decimal​

Answers

8 11/20 is 8.55 in decimal form

Write a quadratic function in standard form with zeros 12 and -3

Answers

Answer:

x^2+10x-24

Step-by-step explanation:

hope this helps!!!

Sally buys a large drink every day for a full year (365 days). Each drink costs $2.82. Sally always pays $3.00 and drops her change in the tip
jar.
Which is the amount Sally tips in a year?

Answers

Answer:

$65.70

Step-by-step explanation:

She would be giving 18 cents each day for 365 day so you multiply 18x365 which equals 6570 and that written in dollars is $65.70

What is the midpoint of AB, with endpoints A(3,2) and B (8,14)

Answers

Answer:

Step-by-step explanation:

(3 + 8)/2= 11/2

(2 + 14)/2= 16/2= 8

(11/2, 8) the midpoint

What is the distance between -5 and 2?
units

———- units

Answers

Answer:

7

Step-by-step explanation:

5+2 is the difference between the two numbers

Answer:7

Step-by-step explanation:

hope its help thanks for seeing my answe bye

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. C. What is the length of bottom side of the scaled copy?

Answers

Answer:

The length of bottom side of the scaled copy is 12 u

Step-by-step explanation:

To solve this problem we have to know that to calculate the area of ​​a triangle we use the following formula

a = area

b = base

h = height

a = b * h

In the triangle A the base and the height are equal to 3

b = h

Now that we know that b & h we can calculate the base of the scaled copy

72 u² = b * b

72 u² = (b)²

√(72 u²) = b

12 u = b

The length of bottom side of the scaled copy is 12 u

What is the value of 9+21(13+5)? A.287 B.395 C.387 D.540​

Answers

Answer:

The answer would be C

Step-by-step explanation:

This is because you would use the distributive property, so you would distribute the 21 to the 13 and the 5. Then you would multiply those two, and then add them, and add the separate 9 to them. Hope this helps :)

Answer:

C.

Step-by-step explanation:

if the other answer gets deleted or they delete it or something im here .<.

If 30% of a number is 60 and 70% of the same number is 140, find 40% of that

Answers

Answer:

80? im like 90% sure its 80

28 -4t = 3t is it 4 the answer

Answers

Answer:

Yes!

Step-by-step explanation:

28 - 4t = 3t

Isolate t:

28 = 7t

t = 28 / 7 = 4

Answer: yes good job

The temperature on an outdoor thermometer on Monday was 10.7 °C. The temperature on Thursday was 3.95 degrees less than the temperature on Monday. What was the temperature on Thursday?

Answers

Answer:

6.75

Step-by-step explanation:

just do 10.7-3.95

Oceanside bike rental shop charges 11 dollars plus 6 dollars an hour for renting a bike. Joan paid 35 dollars to rent a bike . How many hours did she pay to have the biked checked out?

Answers

Answer:

4 hours

Step-by-step explanation:

What is the image of (-1,0) after a reflection over the line y = -x?

Answers

Answer:

(1,0)

Step-by-step explanation:

reflection is flipping

flipping over Y would make -, to + or + to -

in this case -1,0 becomes 1,0

the sum of 3 consecutive integers is -69. Find the largest

Answers

x = the first integer

x + 1 = the second integer

x + 2 = the third integer.

Let's set each of our variables equal to -69

x + x + 1 + x + 2 = -69

Combine like terms

3x + 3 = -69

Subtract 3 from both sides.

3x = -72

Divide both sides by 3

x = -24

The first integer = x = -24

The second integer = x + 1 = -24 + 1 = -23

The third Integer = x + 2 = -24 + 2 = -22

What is the y-intercept in this equation?
6x + 3y = 24

Answers

Answer: y=8-2x

Step-by-step explanation: Move all terms that don't contain y

to the right side and solve

Two samples were taken of fish caught on Small Lake and are shown in the table below. It is estimated that the Small Lake fish population is roughly 1,000 fish. What is the average number of brown trout in the lake? Small Lake Fish Sample 15 Sample 1 Rainbow Trout Brown Trout Largemouth Bass 11 Sample 2 Rainbow Trout Brown Trout Largemouth Bass 3 1 9 11 43 ООО 80 160 333.​

Answers

Answer:

b or 80

Step-by-step explanation:

80 is the average number of brown trout in the lake.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

given, Two samples were taken of fish caught on Small Lake and are shown in the table given.

Total fish were taken in both samples = 9 + 3+ 15 + 11 + 1 + 11

Total fish were taken in both samples = 50

Brown fish in both samples = 3 + 1

Brown fish in both samples = 4

Thus,

the average number of brown trout in the lake = 4/50 * 1000

Since there are 1000 fish in total in the lake

the average number of brown trout in the lake = 80

Therefore,  the average number of brown trout in the lake is 80.

Learn more about Mean here:

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Complete question:

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