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

4 ice cream cones cost $6. At this rate, how much do 7 ice cream cones cost?
this is a test for middle schoolers but anyone is free to answer​

Answers

Answer:

$42

Step-by-step explanation:

Equation: y = 6x

x = number of ice cream cones

y = 6(7) = 42

Hi! I believe your answer is $10.50. If it's $6 for 4 ice cream cones, divide 6 by 4 and you'll get 1.5, or $1.50 per ice cream cone. For 7 ice cream cones, multiply the unit rate ($1.50 per ice cream cone) by 7. The total cost is $10.50. I hope this helps you! Good luck and have a great day. ❤️✨

Why does multiplying the input of a linear function change
only the slope while multiplying the output changes both the slope and the
y-intercept?

Answers

Answer:

Step-by-step explanation:

If we have a linear function and we multiply the input of the function, we aren't really changing the values of the function, we're changing the rate at which those values are reached.

E.g. if you look at the attached picture, we have [tex]f(x) = 2x[/tex] and [tex]f_2(x) = 4x[/tex], which is just [tex]f(2x)[/tex]. The value when the red line is x = 1 is half that of the value of the blue line when x = 1.

The values of the f(2x) line are reaching the values of f(x) twice as fast, meaning it has a slope of twice as much. However, it still grows through the same intercept.

If you're interested in the calculus behind this, look up the chain rule of derivatives.

However, when you start changing the output of the function, you're changing the entire equation. It's not the same line anymore.

Brainliest
Answer: what is 123-12(324-234)
·ω·

Answers

Answer:

-957

Step-by-step explanation:

324-234=90

12*90=1080

123-1080=-957

Write the reciprocal of -2/7

Answers

Answer:

answer is -7/2

Step-by-step explanation:

Hello! Did anyone took the isat ( International student admission test) ?? Please let me know !

Answers

Answer:

No, I haven't taken the isat.

Step-by-step explanation:

Answer:

No, what is it for?

Step-by-step explanation:

Write an equation of the line that passes through (3, 4) and is perpendicular to the line
that passes through y = -1x +7.

Answers

Answer : y = x + 1
the solution is in the pic below :)
He didn’t shins did s jdbsndjsndjdnsndjnfn

completely factor 1-100x^2​

Answers

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  a 2 − b2 = ( a + b ) (a − b )  where  a= 1  and  b = 10 x . ( 1 + 10 x ( 1 − 10 x )

Step-by-step explanation:

WHAT IS THE ANSWER TO B HOW MANY MILES PLEASE

Answers

Answer:

There is nothing attached

Step-by-step explanation:

No question given. What is the problem?

8(4x-4)=-5x-32 pls help

Answers

x= 0, i believe im solving for x

Answer:

x= 0

Step-by-step explanation:

WILL GIVE BRAINIEST AND 20 POINTS AND 5 STARS !! NEED HELP ASAP, PLEASE EXPLAIN STEP BY STEP.Kole works in an electronic store. He estimates that he spends 42% of his pay in his own store. Write the decimal that represents the amount of pay he spends in the electronics store.

Answers

Answer:

0.42

Step-by-step explanation:

move the decimal point 2 to the left

Answer this question please.​

Answers

Answer:

x = 11

Step-by-step explanation:

We know that vertical angles (opposite angles when two lines cross), are equal.

2x - 6 = 6x - 50

4x = 44

x = 11

what is the slope- intercept form of x+4y=16

Answers

Answer:

Y= -1/4x +4

Step-by-step explanation:

Slope intercept form is y=Mx+b

4y=16-x

Y= -1/4x +4

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment A double prime B double prime = segment AB over 2 segment AB = segment A double prime B double prime over 2 segment AB over segment A double prime B double prime = one half segment A double prime B double prime over segment AB = 2

Answers

Answer:

A. segment A double prime B double prime = segment AB over 2

Step-by-step explanation:

Triangle ABC with coordinates of:

A = (-3, 3), B = (1, -3), C = (-3, -3)

Translation (x + 2, y + 0), coordinates will be:

A' = (-1, 3), B = ( 3, -3), C = (-1, -3)

Dilation by a scale factor of 1/2 from the origin, coordinates will be:

A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)

Let's find the length of AB and A''B'' using distance formula

d = √(x2-x1)² + (y2 - y1)²AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13

We see that

AB = 2A''B''

Now the answer options:

A. segment A double prime B double prime = segment AB over 2

Correct

B. segment AB = segment A double prime B double prime over 2

Incorrect. Should be AB = A''B''*2

C. segment AB over segment A double prime B double prime = one half

Incorrect. Should be AB/A''B'' = 2

D. segment A double prime B double prime over segment AB = 2

Incorrect. Should be A''B''/AB = 1/2

Answer:

A. segment A double prime B double prime = segment AB over 2

Step-by-step explanation:

LIVING ROOM Maude's living room is in the shape of a rectangle. Its dimensions are 21 feet by 14 feet. Find the length of the diagonal of the living room. Round your answer to the nearest tenth if necessary.

Answers

Answer:

25.2 feets

Step-by-step explanation:

Given that:

Rectangular shaped living room has the dimension:

21 feets by 14 feets

Length of diagonal :

Using Pythagoras :

A² = B² + C²

Diagonal² = 21² + 14²

Diagonal = √(441 + 196)

Diagonal = √637

Diagonal = 25.238

Diagonal = 25.2 feets ( nearest tenth)


C.
tan(450)
Help please!

Answers

Answer:

The answer is 0

Step-by-step explanation:

A set of average city temperatures in October are normally distributed with a mean of
20.
6

C
20.6

C20, point, 6, degrees, start text, C, end text and a standard deviation of
2

C
2

C2, degrees, start text, C, end text.
What proportion of temperatures are between
1
8

C
18

C18, degrees, start text, C, end text and
20.
6

C
20.6

C20, point, 6, degrees, start text, C, end text?

Answers

Answer:

0.4032

Step-by-step explanation:

the graph below shows a quadratic function f(x) and an absolute value function g(x)

which of the following x-values are approximate solutions to the equation f(x)=g(x)? select all that apply​

Answers

Answer:

The x-values that are approximate solution of the equation [tex]f(x) = g(x)[/tex] are [tex]x_{1} \approx -3.5[/tex] and [tex]x_{2}\approx 5[/tex], respectively.

Step-by-step explanation:

From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for [tex]f(x) = g(x)[/tex], which are described below:

[tex]x_{1} \approx -3.5[/tex] and [tex]x_{2}\approx 5[/tex]

The x-values that are approximate solution of the equation [tex]f(x) = g(x)[/tex] are [tex]x_{1} \approx -3.5[/tex] and [tex]x_{2}\approx 5[/tex], respectively.

A right triangle with leg lengths of 4 and 3 units has to be positioned in the
coordinate plane to write a coordinate proof. Which set of coordinates
would make the proof easier to complete?

Answers

Answer:(0,4),(0,0),(3,0)

Step-by-step explanation:

It is easy to find lengths of horizontal and vertical segments and distances from (0,0) so always place one vertex at the origin and one or more sides on an axis.

As in this answer has y intercept, and x intercept, and (0,0)

Daniel bought 8 pairs of socks and a tshirt. The t-shirt cost $15.
Write an equation for the Total Cost Let x = the price of socks. How much was each pair of
socks if the Total Cost was $31? Show all calculations/work.

Answers

8x + 15 = 31

Or

16 + 15 = 31

Not entirely sure if this is what you were asking for but I hope this helps!

which triangle is the most similar to triangle ABC? ​

Answers

Using the process of elimination,

Answer J is the answer, it is the only answer that has a ratio between the given shape of 1:2, the dilation is 1/2 or x2 if you're going from object J to ABC.

What is the equation of the line?

Answers

Answer:

y=2x=2

Step-by-step explanation:

bc the line is to the right and going up so it makes it positive and it crosses 2 on the y axis and it goes up 2 times each time

What is 30% of 60? A. 0.18 B. 1.8 C. 18 D. 180

Answers

Answer:

C ) 18 hope this helps !!!

Answer:

C. 18

Step-by-step explanation:

If you multiply 30%, or .3 by 60, you get 18.

The function p is defined as p(x) = x2 – 3x. If the
function q is defined as q(x) = p(x) – 4, what is the
value of q(10) ?
A) -30
B) 6
C)
66
D) 70

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]q(x) = {x}^{2} - 3x - 4[/tex]

[tex]q(10) = ( {10})^{2} - (3 \times 10) - 4 [/tex]

[tex]q(10) = 100 - 30 - 4[/tex]

[tex]q(10) = 70 - 4[/tex]

[tex]q(10) = 66[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the correct answer is (( C )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

38. By the commutative property, 3(w +9) is
equivalent to which expression?
A. 3w + 9
B. 3w + 27
C.
D. 3(9+ w)

Answers

Answer:

B

Step-by-step explanation:

3 ( w + 9 )

3 × w + 3 × 9

3w + 27

Hope this helps

plz mark as brainliest!!!!!!!

I think it’s d, but if not then the other answer says b.

Also I don’t see an answer for c.

What is the boiling point of salty ocean water?

Answers

Answer: approximately 105.7°C

Step-by-step explanation:

Seawater of 35 psu has a specific heat of 0.932 compared with 1.000 for pure water. Pure water freezes at 0 °C and boils at 100 °C (212 °F) under normal pressure conditions. When salt is added, the freezing point is lowered and the boiling point is raised. Therefore, we can tell that salt increases the boiling temperature, but not by very much. If you add 3 grams of salt to 100 grams (or mL) of water, instead of boiling at 100° C, it'll boil at 100.5° C.

And I'm not sure about the ocean water because the expected range is too wide and various, so maybe I guess the boiling point of salty ocean water would be about 105.7°C?

James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposit
$50,000 into the account. How much will be in the account after 20 years?
a. $48,407.45
b. $90,600.15
c.$86,608.14
d.$80,894.18

Answers

Answer:

a. $48,407.45

b. $90,600.15

c.$86,608.14

d.$80,894.18

The speed of sound in hydrogen is about 3.9 times its speed in air. If its speed in
hydrogen is almost 1287 m/s, what is its speed in air?

Answers

Answer:

330

Step-by-step explanation:

Answer:

330 m/s

Step-by-step explanation:

Divide 1287 m/s by 3.9 to get the speed of sound in air as given that the speed of sound in hydrogen is 3.9 times it's speed in hydrogen.

Hope this makes sense.

Good luck!!

If Kayla buys 50 apples for $20 what is the unit rate?

Answers

Answer:

2.50 dollars an apple.

Step-by-step explanation:

Divide 50/20

Answer:

2.5 per apple

Step-by-step explanation:

50 ÷ 20=2.5

What is the median?
-2 -3 8 -6 -9

Answers

Answer:

-3

Step-by-step explanation:

its the middle number so you put them in order and get the ndeswer just whatevers in the midde

-9 -6 -3 -2 8

Answer:

The median is -3

Step-by-step explanation:

-9 -6 -3 -2 8 (least to greatest)

if you spun the spinner 100 times would you expect it to land on red

Answers

How many colors are there in total?

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