A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed of the boat in still water? What is the speed of the current?

Answers

Answer 1

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12       Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24       Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)    

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current)     Divide by 12

r_boat + current  = 2 (r_boat - current)             Remove the brackets.

r_boat  + current = 2*r_boat - 2* current          add 2 currents to both sides

r_boat  + 3currents = 2*r_boat                          Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current.                               Divide by 12

20 = r_boat + current                                        Put 3 currents in for r_boat

20 = 3currents + 1 current                                Combine

20 = 4 currents                                                  Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat


Related Questions

How many hours pls help.

Answers

Answer:

4 hours

Step-by-step explanation:

Find out how much he earns an hour.

7 hours = 145.60

1 hour = 145.60 ÷ 7 = 20.80

83.20 ÷ 20.80 = 4 hours (Find out how much hours Jose has to work to earn 83.20)

I need help please❤️❤️❤️❤️

Answers

Answer:

x = 5

Step-by-step explanation:

the supplementary angle of (19x-18) = 180 - (19x-18) = 198-19x

all interior angles of a triangle = 180 degrees

180 = (7x+1) + (10x-9) + (198-19x)

180 = 7x+10X-19x+1-9+198

180 = -2x+190

-2x = -10

x = 5

Compare multiplying a number by 3 and by 1 third. *

Answers

Answer:

Multyplying by 1 third is the same as dividing by 3, so it's the opposite as multiplying by 3.

I know the answer but what do I draw or write in the boxes :(.....,

Answers

Hi there!

Step By Step Explanation:

hold then bring the 15 star down and then cross out 11.25 of the star.bring the 16 down and then cross out 10.66 suns.convert down the nine down and then do the same thing and then leave 4.5 balloons as a remainder.reverse the opposite of the snowflake and then leave 3.4 as a remainder.

convert the following fractions so that's the denominator is 100 15/20​

Answers

Answer:

75/100

Step-by-step explanation:

15/20 = x/100

20x = 1500

x = 1500/20

x = 75

Order these numbers from least to greatest. 3.601, 3.6, 3.61, 2.4582​

Answers

Answer:

2.4582​, 3.6, 3.601,  3.61

the answer is 2.4582>3.6>3.601<36.10

Where are the coordinates of point A on the coordinates grid below

Answers

The answer is (-2,3)

-2 on the x-axis, and 3 on the y axis.

Hope this helps! :)

Answer:

(-2,3)

Explanation:

x-coordinate: -2

y-coordinate: 3

Book price $ 60. The book went up in price on the 15th
%.
What is the price of the book after the price increase?

Answers

Answer:

$69

Step-by-step explanation:

Price of book after the price increase

= 60 + 15% of 60

= 60 + 0.15*60

= 60 + 9.0

= $69

My friend owns her own store. She gets her clothing for
$24 a piece. She sells them at her store for $49.99. What
is her percent increase?
Round to the nearest percent.
O 48%
O 51%
O 8%
O 108%

Answers

Answer:

108 %

Step-by-step explanation:

Answer:

51%

Step-by-step explanation:

(Amount of change/original value)

25.99÷49.99=0.51

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the
probability that it is purple or not red.

Answers

Answer:

97/139

Step-by-step explanation:

You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.

Probability that candy picked is purple or not red is [tex]\frac{32}{151}[/tex].

What is probability?

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. Also, the favorable number of outcomes cannot be negative.

According to the question

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies.

You pick one candy at random.

We have to find probability that it is purple or not red.

Formula for probability:

[tex]P(E) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]

Total number of favorable outcomes = [tex]42+45+20+32 =151[/tex]

Number of favorable outcomes = 32

Probability that it is purple or not red.

[tex]P(E)=\frac{32}{151}[/tex]

Hence, Probability that candy it is purple or not red is [tex]\frac{32}{151}[/tex].

Find out more information about probability here

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What percent of 31 is 48 if necessary round your answer to the nearest hundredth of percent

Answers

Answer:

64.58

Step-by-step explanation:

Answer:154.84%

Step-by-step explanation:

Help me please!!!!!!!

Answers

Answer:

900 cubes with side of 1/10 ft will fill the prism completely for a total volume of 9/10 ft ³

Answer:

total volume=l×b×h=1 1/2×1 1/5×1/2=3/2×6/5×1/2

=18/20=9/10ft³

I think

2x + 9y = -7
6x - 3y = 9

Answers

Answer:

Add the equations together

Step-by-step explanation:

The reason why I know this is because they are all like terms so that would be the smartest choice to do first.

If this answer helped you then please mark it as brainliest so I can get to the next rank

2) Kelly had a picnic each year to celebrate her birthday. The 1st year 50 people came. The 2nd year 30 people came. What is the percent of decrease?​

Answers

Answer:

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

True or False: The formula to derive pi is: pi = circumference divided by radius

Answers

False, to get pi is pi= circumference divides by diameter

aNoThEr qUeStiOn tO bRiNg mY gRaDeS uP // Ill mark brainliest ^^

Answers

Answer:

[tex]\boxed {\boxed {\sf b=60 \ meters}}[/tex]

Step-by-step explanation:

This is a right triangle because of the small square in the corner representing a 90 degree angle.

Therefore, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

Where a and b are the legs and c is the hypotenuse.

80 and b are the legs, because they form the right angle. 100 is the hypotenuse because it is opposite the right angle.

[tex]a=80 \\b=b \\c=100[/tex]

[tex](80)^2+b^2=(100)^2[/tex]

Solve the exponents.

(80)²=80*80= 6400 (100)²= 100*100= 10000

[tex]6400+b^2=10000[/tex]

Solve for the unknown by isolating the variable. First, subtract 6400 from both sides.

[tex]6400-6400+b^2=10000-6400\\b^2=3600[/tex]

Take the square root of both sides.

[tex]\sqrt {b^2}= \sqrt {3600}\\b=60 \\b= 60 \ m[/tex]

The missing leg is 60 meters.

if Emma has all a's and one d what is her gpa? she has 6 classes in total

Answers

Answer:

3.5 GPA

Step-by-step explanation:

I used a GPA calculator.

a skier is going down a slope that measures 3,500 feet long. by the end of the slope, the skier has dropped 1,400 vertical feet. to the nearest degree, what is the angle, A , of the slope?​

Answers

Opposite over hypotenuse
1400/3500=0.4=40 degrees
I believe that is the answer

anyone help me i really need it anyone helpful

Answers

Answer:

(photo)

Step-by-step explanation:

Since the b in the format is +3 you would have to graph it on the positive three on the y axis then you graph the rise/ run which is 3x

could you guys give me some advice if i feel like a failure, and what to do in this situation?

Answers

just think about how far you’ve made it in life. however old you are is already an accomplishment by itself. hope this helped ❣️

Answer:

Don't feel so .

Every failure is a step to Sucess .

20 ways to remain motivated after you fail :

1. Take time to heal emotionally

2. Remind yourself that there is no success without failure

3. Learn from your mistakes ❌✔

4. Create a positive mindset

5. Find the opportunity to grow

6. Do not dwell on your mistakes accept them

7. Choose to be happy

8. Use your mistakes to master your art

9. Continue pressing forward ‍

10. Think about what to do next

11. Remember that you are not the only one who failed

12. Write down a list of your successes ✍

13. Think back on your past failures

14. Get inspired

15. Focus on your other goals

16. Visualise your sucess

17. Remember that staying a failure is a choice

18. Surround yourself with positive people ‍

19. Take a step back

20. Get yourself organised

Find the additive inverse of each linear expression
1. 3x - 6
2. -9x + 3
3. -4x -8

Answers

Step-by-step explanation:

G(x) = 2/3 x - 6     switch x and y around and solve for y.

y = 2/3 x - 6

x = 2/3 y - 6

x + 6 = 2/3 y

3/2  x + 9 = y

PLEASE HELP WILL GIVE BRAINLIEST

Answers

I believe the awnser is 3!
Each point has 3/1 but since you simplify the number I think is 3 (I’m sorry if I get it wrong I tried) Please give brainliest!
120 is the correct answer!y = mx240 = m x 2240 ÷ 2 = m (120)So the constant of proportionality is 120. Crew A makes $120 per hour.Please let me know if I am wrong.

PLEASE HELP MEE EVERYONE IS WASTING MY POINTs PLEASE

Answers

Answer:  c = 0.0325d

==========================================================

Explanation:

For each row, divide the earnings over the sales.

In row 1, we have 22/673 = 0.0327 approximately In row 2, we have 37/1298 = 0.0285 approximately In row 3, we have 101/3277 = 0.0308 approximately In row 4, we have 150/5180 = 0.0290 approximately

All of these decimal values have the following conversions to percentages

0.0327 = 3.27% 0.0285 = 2.85% 0.0308 = 3.08% 0.0290 = 2.90%

If we add up those percentages and divide by 4, we get the average percentage

(3.27+2.85+3.08+2.90)/4 = 3.025

So the average percentage of these four is 3.025%

So for instance, if you made $1000 in sales, then 0.0325*1000 = 32.50 would be the estimated earnings.

A good estimate in my opinion is the equation c = 0.0325d since 3.025% converts to the decimal form 0.0325

Another method you could use is linear regression to help estimate. Though this method is a lot more complicated involving many more steps. It's better to use technology (eg: graphing calculator) if you go this route. The linear regression line is approximately y = 0.02896x + 2.00732; we can see the slope 0.02896 isn't too far off from 0.0325. Other forms of regression are possible as well.

Mr. Fry is building a fence around his pool.

•Length of the fence is 60 feet.
•Width of the fence is 30 feet.

How many yards of fence will Mr. Fry build?

Answers

Answer:

30 yards of fence

Step-by-step explanation:

First, convert 60 feet to yards and 30 feet to yards. Remember, 1 foot= 3 yards.

60/3= 20 yards

30/3= 10 yards

Then you add the length and the width of the fence (in yards) to find the total yards of fence.

20+ 10= 30 yards of fence

The fence around his pool will be 30 yards long

Market researchers were interested in the relationship between the price of bobbleheads and the demand of bobbleheads. Information was collected from a survey and used to obtain the regression equation ŷ = –0.227x + 50.455, where x represents the price of bobbleheads (measured in dollars) and ŷ is the predicted demand of bobbleheads (in units). What is the predicted demand of a bobblehead that has price of $6.00?


–1.362 units

49.093 units

51.817 units

195.837 units

Answers

Answer:

49.093

Step-by-step explanation:

Given the regression equation :

ŷ = –0.227x + 50.455

x represents the price of bobbleheads (measured in dollars)

ŷ is the predicted demand of bobbleheads (in units).

Preductwd demand ; when x = 6

ŷ = –0.227(6)+ 50.455

= 49.093

PLEASE HELP ASAP THIS IS MY LAST QUESTION

Answers

X=2.6 please give brainly

n
Which function is shown in the graph below?
y
10
8
6
4
2
-10 -8 -6 -4 =22
2.
4
B
8-10 x
-6
-8
-10
(1)x+3

Answers

Answer:

Step-by-step explanation:

The solution is, The answer for this case is given by:

y = 2 ^ (x + 2) +3

option 2

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

For this case we observe the cut point with the y axis in:

(0, 7)

The function that complies with this is:

y = 2 ^ (x + 2) +3

We have then:

y = 2 ^ (0 + 2) +3

y = 2 ^ (2) +3

y = 4 + 3

y = 7

Answer:

The answer for this case is given by:

y = 2 ^ (x + 2) +3

option 2

To learn more on function click:

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Which expression Is equivalent to x2-17x-60

Need work attached.

Answers

Answer:

Step-by-step explanation:

Find the roots of x² - 17x - 60

Quadratic formula

x = [17 ± √(17² – 4·1(-60))] / [2·1]

 = [17 ± √529] / 2

 = [17 ± 23] /2

 = -3, 20

x² - 17x - 60 = (x+3)(x-20)

Answer:

(x+3)(x-20)

Step-by-step explanation:

x^2+3x-20x-60

x(x+3)-20(x+3)

= (x+3)(x-20)

please help!!!i don’t know how to do this

Answers

Answer:

Y = 5.63

Step-by-step explanation:

137 = 47 + 16y

16y = 90

y = 5.625

What is an equation of the line that passes through the points (-5, 6) and
(7, 6)?

Answers

Answer:

y = 6

Step-by-step explanation:

line of an equation: y = mx +c

where c is y-intercept, m is gradient and y and x are the y and x coordinates.

For finding the line of an equation we first find a gradient

gradient = (y2 -y1) / (x2 - x1)

so; (6-6) / (7-(-5)) = 0/12 = 0

next using any pair of coordinates we will find the c (y-intercept)

6= 0 (-5) + c

c = 6

so the equation will be

y = mx + c

(add the values you just found)

y = (0)x + 6 (since anything multiplied by 0 is 0 so we can write its like;)

y = 6

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