Mike hiked to a lake in 4.5 hours at an average rate of 2
1
5
miles per hour. Pedro hiked the same distance at a rate of 2
3
5
miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.

It took Pedro
hours to reach the lake.

Answers

Answer 1

Answer:

It took Pedro  3.81 hours to reach the lake.

Step-by-step explanation:

Time taken by Mike to hike a lake = 4.5 hours

Average rate of Mike while hiking the lake = [tex]2\frac{1}{5}\ miles/hr[/tex]

Formula for distance can be seen as:

[tex]Distance = Speed\times Time[/tex]

Distance traveled by Mike = [tex]4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles[/tex]

Rate of Pedro while hiking the same distance = [tex]2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr[/tex]

Given that, Pedro also travels the same distance.

And we have to find the Time.

[tex]Time = \dfrac{Distance}{Speed}[/tex]

[tex]Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}[/tex]

It took Pedro  3.81 hours to reach the lake.


Related Questions

Simplify the expression.
347+429+437


1. 11 2/9


2. 12 2/9


3. 11 9/23


4. 12 9/23

Answers

Answer:

2.  12 2/9

Step-by-step explanation:

Because of the choices, I assume the three addends are mixed numerals:

3 4/7 + 4 2/9 + 4 3/7 =

= 3 + 4 + 4 + 4/7 + 2/9 + 3/7

= 11 + 7/7 + 2/9

= 11 + 1 + 2/9

= 12 2/9

Answer: 2.  12 2/9

find
[tex] \frac{4}{11} of4 \frac{2}{5} [/tex]
[tex]please \: solve \: the \: question \: now[/tex]

Answers

Answer:

8/5

Step-by-step explanation:

A boat is carried with the current at an angle of 43 degrees to the shore. if the river is approx. 15 meters wide, how far does the boat travel before reaching the opposite side of the shore

Answers

Answer:

22 m

Step-by-step explanation:

The computation of the how much far does the boat travel is as follows:

sin 43 degrees = 15 ÷ d

d = 15 ÷sin 43 degrees

= 15 ÷ 0.6820

= 21.99

= 22 m

Hence, the how much far does the boat travel is 22 m

We simply applied the above formula so that the correct value could come

The same is to be considered

PLEASE ANSWER TO THIS QUESTION
select the case where the lengths of the legs in a triangle are shown from the lengths of the legs below


1) 8 cm, 13 cm, 5 cm
2) 11 cm, 7 cm, 8 cm
3) 6 cm, 19 cm, 8 cm​

Answers

Answer:

any pictures?

Step-by-step explanation:

But i would guess 2)

A) Original price is $25, markdown is 12%. The sales price is (only use numbers): $

Answers

Answer:

$22

Step-by-step explanation:

12% of 25 = 3

25 -3 = 22

where can u find answers for bigideasmath[please thx]

Answers

Answer:

look up the answer on googe

pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee​ help​

Answers

Answer:

there is nothing attached??

Please help I will give brainliest!
If your answer is inappropriate in any way you will be reported...
Thank You!

Answers

Answer:

1

Step-by-step explanation:

Let's look at the first option in this multiple-choice; 18. 18 is divisible by 18, but is not divisible by 35, so that answer isn't right.

What about 3? 3 is divisible by 18, but it isn't divisible by 35. Let's move on.

7 is divisible by 35, but it isn't divisible by 18.

1 is universally divisible by anything. That doesn't mean it is the greatest common factor, but in this case it is, because none of the other options are a factor of both numbers given. Therefore, 1 is divisible by 18.

the vertices of parallelogram abcd are A(4,0,3), B(3,4,-2),C(-2,0,1). find the coodrdinates of fourth vertices

Answers

Given :

The vertices of parallelogram ABCD are A(4,0,3), B(3,4,-2),C(-2,0,1).

To Find :

The coordinates of fourth vertices.

Solution :

We know, the vertices are ABCD .

Let, point D is (x,y,z) .

Also, diagonals of a parallelogram bisect each other.

Let, point of intersection of daigonal is O.

Coordinates of O are :

[tex]O_x = \dfrac{4+(-2)}{2}= 1\\\\O_y = \dfrac{0+0}{2 } = 0 \\\\O_z = \dfrac{3+1}{2}= 2[/tex]

O(1,0,2)

Value of point O through BD.

[tex]O_x = \dfrac{3+x}{2}\\\\x=-1\\\\O_y = \dfrac{4+y}{2}\\\\y = -4\\\\O_z= \dfrac{-2+z}{2}\\\\z = 6[/tex]

Therefore, the fourth vertices is D( -1,-4,6 ).

15 POINTS!!!!
Solve the equation.

p over five + 6 = 10
A. 44
B. 30
C. 20
D. –20

Answers

p/5 + 6 = 10

=> p/5 = 10-6

=> p/5 = 4

=> p = 5×4

=> p = 20

C. 20

C because 20 over 5 equals 4, then 4+6 is 10

David expressed the ratio of the number of books that he owns to the number of DVDs that he owns as 27:11. Which statement could be true based upon this relationship? David has 11 books and 27 DVDs. David has 11 DVDs and 27 books. David has 11 DVDs and 27 items total. David has 11 books and 27 items total.

Answers

Answer: David has 11 DVDs and 27 books.

Step-by-step explanation:

When numbers are put in ratio form they are meant to compare their relative sizes.

The first number will be the first item being compared to the other.

For instance, if you had 2 pens and 3 pencils, the ratio of your pens to your pencils will be;  2:3. The ratio of your pencils to your pens however is 3:2.

In the same vein, a ratio of books to DVDs of 27:11 means that David has 27 books and 11 DVDs.

Answer:

David has 11 DVDs and 27 books.

Step-by-step explanation:

gimme ur help plzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

A. (-2, -4)

Step-by-step explanation:

Substitution Method

3x + 2 = -2x - 8

5x = -10

x = -2

y = 3x + 2

y = 3 (-2) + 2

y = -4

(x, y) = (-2, -4)

What were the main important ideas in geometry that you studied in the first six weeks?

Answers

Answer:

The preceding chapter explored implications of research on learning for general issues relevant to the design of effective learning environments. We now move to a more detailed exploration of teaching and learning in three disciplines: history, mathematics, and science. We chose these three areas in order to focus on the similarities and differences of disciplines that use different methods of inquiry and analysis. A major goal of our discussion is to explore the knowledge required to teach effectively in a diversity of disciplines.

Step-by-step explanation:

The preceding chapter explored implications of research on learning for general issues relevant to the design of effective learning environments. We now move to a more detailed exploration of teaching and learning in three disciplines: history, mathematics, and science. We chose these three areas in order to focus on the similarities and differences of disciplines that use different methods of inquiry and analysis. A major goal of our discussion is to explore the knowledge required to teach effectively in a diversity of disciplines.

The equation x^3-3x=1 has a solution between 1.8 and 1.9. use a trial and improvement method to find this solution. give your answer correct to 2 decimal places.
HELPPPPPP I HAVE BEEN TRYING FOR AGES

Answers

Answer:

1.88 to 2 decimal places

Step-by-step explanation:

First, I plugged in 1.8 and 1.9:

1.8^3-3*1.8=0.432

1.9^3-3*1.9=1.159

Then, I plugged in 1.85:

1.85^3-3*1.85=0.78

Next, I plugged in 1.87 to get the answer closer to 1:

1.87^3-3*1.87=0.93

Finally, I plugged in 1.88 to get even closer to 1:

1.88^3-3*1.88=1.00

Hope this helps!

Answer:

Step-by-step explanation:

1.8=-0.568 is too small

1.9=0.159 is too big

1.87=-0.70797 is too small

1.88=0.004672 is too big

Next, I plugged in 1.87 to get the answer closer to 1:

1.87^3-3*1.87=0.93

Finally, I plugged in 1.88 to get even closer to 1:

1.88^3-3*1.88=1.00

1.875=-0.033203125 is too small

so it should be 1.88 to 2 decimal places

pls help asap!!!
[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.


description

• 2.5 below sea level

Answers

Answer:

negative 2.5

Step-by-step explanation:

It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.

Identify the range of the function shown in the graph.

Answers

Answer:

C. -5 ≤ y ≤ 5

General Formulas and Concepts:

Algebra I

Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, our y-values span from -5 to 5. Since both are closed dot, they are inclusive in the range:

[-5, 5] or -5 ≤ y ≤ 5

Can somebody help me with this question, please? I have no idea how to do this or find the answer. :/ How many ways are there to choose a number from the set {−96, −48, −42, −36, −18, −14, −6, 14} that is divisible by either 6 or 8?

Answers

Answer:

28 different ways

Step-by-step explanation:

This is a combination question. Combination has to do with selection.

Total number of element in the set = 8

Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}

Total number divisible by 6 or 8 is 6

The number of ways we can choose 6 items from 8 is expressed as;

8C6 = 8!/(8-6)!6!

8C6 = 8!/(2)!6!

8C6 = 8*7*6!/2!6!

8C6 = 8*7/2

8C6 = 56/2

8C6 = 28 ways

Hence there are 28 different ways

Determine any data values that are missing from the table, assuming that the data represent a linear function. (graph in picture)

Answers

Answer:

4

Step-by-step explanation:

x + 1 = y

3 + 1 = 4

answer needs to be 20 character long so this is filler


-2j < -14

What is j?


A. j > -12

B. j < 7

C. j < -12

D. j > 7

Answers

Step-by-step explanation:

-2j < -14

Divide both sides by -2:

j > 7. (D)

Answer:-2j < -14

Divide both sides by -2:

j > 7. (D)

Step-by-step explanation:

9.533, 9.527, 9.62, 9.58, 9.7

LESSER GREATER

HELP ASAP PLEASE

Answers

Answer:

9.527, 9.533, 9.58, 9.62, 9.7

Step-by-step explanation:

I hope this helps!!!!! HAVE A WONDERFUL DAY!!!

Need help z-8=3y-x.​

Answers

What are you trying to solve for?

Answer:

y = (-x-z+8)/3

Step-by-step explanation:

z-8 = 3y-x

-3y = -x-z+8

y = (-x-z+8)/3

Hope this helps!    :3

Plz mark as brainliest!

In a city the population is increasing exponentially at a rate of 1.6% per year.
Find the overall percentage increase at the end of 20 years.​

Answers

Answer:

32% increase at the end of 20 years

Step-by-step explanation:

If the population increases at a rate of 1.6% per year, we should multiply it by the number of years that passed, which in this case, is 20. When we multiply those, we get 32%.

(hope this helped)

In a survey of 2,100 people who owned a certain type of car, 945 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car ?

Answers

Answer:

45%

Step-by-step explanation:

You bike 11.2 miles in 1.4 hours at a steady rate. What equation represents the proportional relationship between the you bike and the distance y in miles that you​ travel

Answers

Answer:

8x

Step-by-step explanation:

because its times x

what does x equal in the equation 3x=2y+19

Answers

Answer:

6.333

Step-by-step explanation:

3x=2y+19

3x=2(0)+19

3x/3=19/3

x=6.333

What is the simplified expression for (-3c)2 a-4 bo?​

Answers

Answer:

-6ca-4

Step-by-step explanation:

Answer:

9c2/a4

Step-by-step explanation:

a 5 • a -3

(a to the 5th power • a to the -3 power)
•= multiplication

someone please answer this i have no idea what to do

Answers

Answer:

I believe a to the 8th power

Step-by-step explanation:

when you multiple number with numbers in the power place you multiply the numbers and add the power numbers, so in the case a times a is a and -3 plus 5 is 2 or you could think of it as 5 - 3 = 2

A transportation agency has one 37-seater bus and some 12-seater buses. They have enough seats to board no more than 435 passengers on their buses. Which inequality represents the possible number of 18-seater buses they have.

A:37x+12 435
C:37x+12>435
D:37+12x<435

Answers

Answer:

I think its D

Step-by-step explanation:

Please help offering 15 points

Answers

The answer is C. Band is most popular among juniors

Tom had $55.85. He bought a shirt for $14.86, pants for $25.88, and socks for $5.76. Explain (using a sentence) how Tom can estimate the amount of money he has left. Then find the estimate. Round your answer to the nearest dollar.
HURRY! I HAVE FINALS :(

Answers

Answer:

$9.35

Step-by-step explanation:

14.86+25.88+5.76=46.5

55.85-46.5=9.35

Answer:

The rounded number would be nine

Step-by-step explanation:

It would be nine because you convert 55.85 to 56 then convert 14.86 to 15 convert 25.88 to 26 and convert 5.76 to 6 then subtract all of that to get nine hope it helps

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