A boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)?

Answers

Answer 1

Answer:

A)63miles per hour.

B)27 miles per hour

Step-by-step explanation:

HERE IS THE COMPLETE QUESTION

boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)??b) How fast does the current in the river flow?

Let the speed of boat in still water = V(boat)

speed of current=V(current)

To calculate speed of boat downstream, we add speed of boat in still water and speed of current. This can be expressed as

[V(boat) +V(current)]

It was stated that it takes 1hour for the

boat to travels between two points of 90 mi apart downstream.

To calculate speed of boat against current, we will substact speed of current from speed of boat in still water. This can be expressed as

[V(boat) - V(current)]

and it was stated that it takes 2 1/2 for return trip against the Current

But we know but Speed= distance/time

Then if we input the stated values we have

V(boat) + V(current)]= 90/1 ---------eqn(1)

V(boat) - V(current) = 90/2.5----------eqn(2)

Adding the equations we have

V(boat) + V(current) + [V(boat) - V(current)]= 90/2.5 + 90/1

V(boat) + V(current) + V(boat) - V(current)]=90+36

2V(boat)= 126

V(boat)=63miles per hour.

Hence, Therefore, the speed of boat in still water is 63 miles per hour.

?b) How fast does the current in the river flow?

the speed of the current in the river, we can be calculated if we input V(boat)=63miles per hour. Into eqn(1)

V(boat) + V(current)]= 90/1

63+V(current)=90

V(current)= 27 miles per hour

Hence,Therefore, the speed of current is 27 miles per hour.


Related Questions

Can someone plz help me

Answers

Answer:

Step-by-step explanation:

because the two lines are not unique.. in other words they lay on top of each other.. they have many solutions and we can't determine price  .. so answer C

find the quotient. Problem is below

Answers

Answer:

26/9

Step-by-step explanation:

whenever you divide fractions, they turn into a multiplication problem and use the second fraction's reciprocal. so it would look something like this:

13/2 * 4/9

just do straight multiplication

numerators: 13*4 = 52

denominators: 2*9 = 18

52/18 = 26/9

-3х - y + 4 = 28
2х - 3y+ 2 = 2
3х - 2y + 2 = 2
Solve each system by elimination

Answers

Answer:

x=-72/11 y=-48/11

Step-by-step explanation:

yw !

Is the equation linear or non-linear?

2x-2y=18

Answers

It’s a non-linear equation

Write 24 as a product of primes.
Use index notation when giving your answer.​

Answers

Answer:

2^3 * 3

Step-by-step explanation:

Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23

To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.

This is much easier to do than it sounds like in this explanation.

Start with 24.

24/2 = 12

12/2 = 6

6/2 = 3    3 is not divisible by 2, so we move on to 3.

3/3 = 1    We got to 1, so we are done.

The prime factorization is the product of all the prime numbers we divided by which are in bold.

24 = 2 * 2 * 2 * 3

Now we index it:

24 = 2^3 * 3

Can you some please help me with this ASAP!!!

Answers

Answer:

slope is 0

Step-by-step explanation:

to find slope y2 - y1 / x2 - x1

(6, -2) and (12, -2)

-2 - (-2) / 12 - 6

= -2 + 2/6

= 0/6

= 0

Answer:

slope is 0

Step-by-step explanation:

BRAINLIEST FOR WHOEVER GETS THIS RIGHT!!!

Answers

Answer:

56*a234 =123

a×829

h=234*234*56=2893

Garden soil costs $5.00 per a 2 cubic foot bag at lows. You have raised rectangular garden thag is 8 feet by 4 feet and you wish the depth of the soil to be 6 inches deep. How much will it cost to buy the bags of soul for your garden

Answers

Answer:

$40

Step-by-step explanation:

Step one:

given data

Garden soil costs $5.00 per a 2 cubic foot bag

dimension of rectangular garden raised

8 feet by 4 feet , depth is 6 in

6 in to feet= 0.5ft

the volume of the soil in the  garden is

volume= 8*4*0.5= 16ft^3

Step two:

now if 2ft^3 cost $5

         16ft^3 will cost x

cross multiply

x*2=16*5

divide  both sides by 2

x= 16*5/2

x=80/2

x=$40

Which point on the graph best represents the location of left parenthesis minus 4.5 comma space minus 7 right parenthesis ?

A. Point L
B. Point M
C. Point N
D. Point O


Answers

Answer:

The answer will be A because you start at 4 and in between 4 and 5 you will go up to 7 and that will be your answer

Answer:

The answer is B

Step-by-step explanation:

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AD=3AD=3 and AC=12,AC=12, what is the length of \overline{AB}? AB ? (Note: the figure is not drawn to scale.)

Answers

Answer:

The answer is "6"

Step-by-step explanation:

[tex]\to x^2 = 3 \times 12 \\\\\to \sqrt{6^2 +3^2} = \sqrt{45} =\sqrt{9} \sqrt{5} = 3\sqrt{5} \\\\\to x= 6[/tex]

The value of [tex]\overline{AB} =6[/tex]

Please help
I will mark brainlest and theres alot of points :)

Answers

Answer:

answer is a

Step-by-step explanation:

5(2)=10+2(7)=24

Help!!! Whats The answer, Please explain your answer Marking brainlliest:D......

Answers

the answer would be 96 square feet length

6 x (4)^2 = 96

There are 2.54 cm in 1 inch. they are 100 cm in 1 m, to the nearest meter, how many meters are in 474 inches

Answers

Multiply total meters by 100 to get total centimeters:

6 meters x 100 = 600 centimeters.

Now divide total centimeters by 2.554 to get total inches:

600 centimeters / 2.54 = 236.22 inches.

Rounded to the nearest inch = 236 inches.

if f(x)=5x-12, what is f(2)?

Answers

Answer:

Step-by-step explanation:

5x2-12=10-12=-2

Answer:

=-2 ( B.)

Step-by-step explanation:

f(x) = 5x-12

f(2)= 5(2)-12

=10-12

=-2

I hope helps you and if you want and consider you can give me a Brainly crown

CJ wants a new video game but is not sure which one to buy. His choices are 5 sports games, 3 role-playing games, and 8 action games. He writes the game titles on pieces of paper and puts them all in a bag. He wants to buy two different games. If he randomly selects two names from the bag, what is the probability that CJ selects two sports games?

Answers

Answer:

1 /12

Step-by-step explanation:

Given that:

Number of sports game = 5

Role playing games = 3

Action games = 8

Total = (5 + 3 + 8) = 16

The probability of selecting two sports game from the bag :

First selection = sport game and second selection will also be a sport game.

This scenario with be a selection without replacement pattern

First selection :

Number of sports game / total number of options

5 / 16

SEcond selection : total left = 16 - 1 = 15 ; number of sports game = 5 - 1 = 4

Hence

P(sports on second selection) = 4 / 15

P(sports on first and second) :

5/ 16 * 4/15 = 20/ 240 = 1 / 12

Please help if possible due today!❤️❤️ 18 points


The frequency table shows the number of points scored during 30 Bulldogs
basketball games. On a piece of paper, draw a histogram to represent the
data. Then determine which answer choice matches the histogram you drew.

Answers

Answer:

A

Step-by-step explanation:

All of the values are represented correctly on the histogram. It represents both the points and the frequencies in the correct way.

Answer:

It's A.

Step-by-step explanation:

it matches with the frequency table

Daniel can paint a house in 10 days, while his father can paint the same house in 6 days. If they work together, how long will they finish the job? I need asap answer plssss

Answers

Answer:

3[tex]\frac{3}{4}[/tex] days

Step-by-step explanation:

Let the amount of work be x.

Daniel:

10 days = x

1 day = [tex]\frac{1}{10}[/tex]x

Father:

6 days = x

1 day = [tex]\frac{1}{6}[/tex]x

Together:

1 day = [tex]\frac{1}{10}[/tex]x + [tex]\frac{1}{6}[/tex]x

        = [tex]\frac{6}{60}[/tex]x + [tex]\frac{10}{60}[/tex]x

        = [tex]\frac{16}{60}[/tex]x

        = [tex]\frac{4}{15}[/tex]x

No. of days = [tex]\frac{15}{15}[/tex]x ÷ [tex]\frac{4}{15}[/tex]x

                   = [tex]\frac{15}{15}[/tex]x × [tex]\frac{15}{4}[/tex]x

                   = [tex]\frac{225}{60}[/tex]

                   = 3[tex]\frac{3}{4}[/tex]

What is the slope of the line shown in the graph?
-2
-1
-1/2
1/2

Answers

Answer:

I'm going for the third one (-1/2)

hope this helped you

I need helpp please​

Answers

Answer:

A, 0.07 x 0.06 =0.42.

Step-by-step explanation:

Find a number if 7/10 of it is 0.8.

Answers

Answer:

8/7

Step-by-step explanation:

0.8/0.7=8/7

Answer:8/7

Step-by-step explanation:

The Video Club charges a $100 membership fee and then charges $5 per movie. The Movie Market has a $25 membership fee and then charges $10 per movie. When will both clubs have the same cost? What is the cost?

Answers

Answer:

At 15 movies, both will cost $175

Step-by-step explanation:

Set it up algebraicly. Let x be the number of movies

100 + 5x = 25 + 10x

75 + 5x = 10x

75 = 5x

x = 15

Lets substitute x into one equation

100 + 5(15)

100+75

175

the graph shows the number of calories Natalia burned while running.
What is the slope of the line ?
What does the slope tell you ?​

Answers

Answer:

slope is y=10x.

Slope shows that she is consistently burning 10 calories per minute

Step-by-step explanation:

2. When 9 is added to the number that is produced by tripling the number x, the result is
equal to 6 times the number that is 3 less than x. Write an equation to represent the
situation and use it to find the value of x.

Answers

The equation that represents the situation is:

9 + 3x  =  6(x  -  3)

The value of x is x = 9

Word problem on linear equation

Let the number be represented by x

Triple the number = 3x

9 added to the number that is produced by tripling the number x = 9 + 3x

3 less than x  = x - 3

6 times the number that is 3 less than x = 6(x - 3)

Therefore, the equation that illustrates the situation is:

9 + 3x  =  6(x  -  3)

Solve for x in the equation above

9 + 3x = 6x  -  18

6x  -  3x  =  9  +  18

3x   =  27

Divide both sides by 3

3x/3  =  27/3

x  =  9

Learn more on linear equations here: https://brainly.com/question/14323743

8^1/6 multiply 2^x = 32^1/2 Work out the exact value of x. WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!!

Answers

Answer:

x=2

Step-by-step explanation:

8^1/6 x 2^x = 32^1/2

Divide by 8^1/6

2^x= 32^42/8^y6

2^x=4

but 4= 2^2

2^x= 2^2

x=2

I hope helps you and if you consider and want you can give me a Brainly crown

Answer:

[tex]\huge\boxed{x=2}}[/tex]

Step-by-step explanation:

[tex]8^\frac{1}{6}\cdot2^x=32^\frac{1}{2}\\\\(2^3)^\frac{1}{6}\cdot2^x=(2^5)^\frac{1}{2}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\2^{3\cdot\frac{1}{6}}\cdot2^x=2^{5\cdot\frac{1}{2}}\\\\2^{\frac{1}{2}}\cdot2^x=2^\frac{5}{2}\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\2^{\frac{1}{2}+x}=2^\frac{5}{2}\iff\dfrac{1}{2}+x=\dfrac{5}{2}\qquad|\text{subtract}\ \dfrac{1}{2}\ \text{from both sides}\\\\x=\dfrac{4}{2}\\\\x=2[/tex]

But his teacher that he needed to measure the height of a building in which his classroom is located he backs away from the building and places a mirror on the ground between him and the wall when he can see the top of the building in the mirror Peter is 2‘9“ away from the mirror and the mirror is 11 feet away from the wall of the building Peter knew his eye level was exactly 5‘6“ off the ground so he was able to calculate the height of the building how tall is the building in feet

Answers

Answer:

IT'S 22 JUST FOUND OUT

Step-by-step explanation:

The access code to a houses security system consists of 6 digits. How many different codes are available if each digit can be repeated? Please show work.

Answers

Answer:

1,000,000

Step-by-step explanation: Since there are 10 possible digits, we know that there is a 1/10 chance for any possible digit in any slot. So, since there are 6 slots we can do 1/10^6, or 1 in 1 million.

So, 720 ways are available if each digit can be repeated

Combination:

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

The access code to a house security system consists of 6 digits.

[tex]6!=6\times 5 \times 4\times 3\times 2\times 1\\6!=720[/tex]

Learn more about the value combination:

https://brainly.com/question/10560518

Monique is 16 years old and her brother is 4 years old. What is her brother's age in terms of Moniques age x in years?

Answers

Answer:

28

Step-by-step explanation:

M=16

Bro=4

Monisque will be 28 years when her brother is 16

how do you find the square root of a whole number which are not perfect square​

Answers

Answer: Finding the square root of numbers that aren't perfect squares

Divide: Divide the number that you are finding the squared root for with the number you picked in step 1. Average: Take the average of the number you got in step 2 and the square root. Repeat: Repeat steps 2 and 3 until the number is accurate enough for you.

Step-by-step explanation:

BRAINLESS PLEASE

Divide the following polynomial expression.

(n^4 +5n^3+9n^2) / 9n^3

Answers

Dhjdjdjdjdjdjndjdjdjdjdjdjjsjdjdjdjd

THROUGH THE TUNNEL- How will Jerry's relationship with his mother change as a consequence of his tunnel experience?

Answers

Answer:

what tunnel

Step-by-step explanation:

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