A motorboat takes 4 hours to travel 192 kilometers going upstream.

The return trip takes 3 hours going downstream.

- What is the rate of the boat in still water?
- What is the rate of the current?

Answers

Answer 1

Answer:

Step-by-step explanation:

let b be boat velocity

let c be current velocity

(b - c)4 = 192

(b + c)3 = 192

(b - c)4 = (b + c)3

4b - 4c = 3b + 3c

        b = 7c

(7c - c)4 = 192

    (6c)4 = 192

      24c = 192

          c = 8 km/hr

b = 7(8) = 56 km/hr


Related Questions

a
In the year 2005, a company made $6 million in profit. For each consecutive year
after that, their profit increased by 13%. How much would the company's prohl be in
the year 2007, to the nearest tenth of a million dollars?

Answers

Answer:

The profit will be 7.7 million in 2007

Step-by-step explanation:

6x(1+ 0.13)^2

6x1.13^2

6x1.2769

The thermostat for a house is set to 70°F, but the actual temperature may vary by as much as 4°F. Use an
absolute value inequality to find the range of possible temperatures in the house.
The range of possible temperatures in the house (in degrees Fahrenheit)

Answers

Answer:

Step-by-step explanation:

74’F

Answer:

The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F

Step-by-step explanation:

To Find:

The range of possible temperatures in the house

Solution:

Given:

Thermostat is set to 70 °

Also actual temperature may by a much of 4°

If the temperature is 4°F lower, and actual temperature = 70°- 4° = 66° F

If the temperature is 4°F higher, actual temperature = 70°+4° = 74°

Therefore, The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F

Onyango slept at 2040 h on Thursday and woke up after 5 h 20 minutes. At what time did he wake up? A. 2.00 p.m. B. 2.40 a.m. C. 2.40 p.m. D. 2.00 a.m.​

Answers

Answer:

Your answer is C.

Step-by-step explanation:

Answer:d.2:00am

20:40 is 8:40 pm in regular time. if you add five hours to the it will be 1:40am and add another 20 minutes it will end up being 2:00am

solve pls brainliest

Answers

Answer:

28.5

Step-by-step explanation:

1/2 is 0.5 as a decimal.

That would mean that 28 1/2 is the same as 28.5.

Hope this helps! Brainliest would be really appreciated!

28.5. Pls brainliest

solve pls brainliest

Answers

2 4/9 hope this is right

Answer:

2 4/9

Step-by-step explanation:

1. To change an improper fraction to a mixed number, divide the numerator by the denominator. Then, write down the quotient as the whole number and the remainder (left over amount) as the numerator. Remember to NOT change the denominator.

2. Given the information above:

22 ÷ 9 = 2 R 4 2 4/9

Therefore, 22/9 as a mixed number is 2 4/9.

Which of the following is the correct expansion of (x + 3)(x + 4)?

Answers

Answer:

(x + 3)(x + 4)

x(x+4)+3(x+4)

[tex] {x}^{2} + 4x + 3x + 12[/tex]

[tex] {x}^{2} + 7x + 12[/tex]

Answer:

It's x2 + 7x + 12 by added the two X at the start then added 3 + 4 to get 7 then 3×4 to get 12

Tom purchased international calling cards before traveling abroad. He bought a 60-minute card for $9.99, a 90-minute card for $14.29, a 100-minute card for $17.99, and a 200-minute card for $29.49. After using all of his calling cards, Tom used his mobile phone for 38 minutes at a rate of $2.99/minute.

Answers

The amount spent on calls per minute is an illustration of unit rates.

The amount spent on the 38-minute call is $113.62

The given parameters are:

[tex]\mathbf{Rate = \$2.99/minute}[/tex]

[tex]\mathbf{Time = 38\ minutes}\\[/tex]

So, the amount spent on call is:

[tex]\mathbf{Amount = Rate \times Time}[/tex]

This gives

[tex]\mathbf{Amount = \$2.99/minute \times 38\ minutes}[/tex]

Cancel out minutes

[tex]\mathbf{Amount = \$2.99 \times 38}[/tex]

[tex]\mathbf{Amount = \$113.62}[/tex]

Hence, the amount spent on the 38-minute call is $113.62

Read more about unit rates at:

https://brainly.com/question/18065083

Simplify

1/2 + 2/5

A) 1/10
B) 2/7
C) 3/7
D) 9/10

Answers

Answer:

D) 9/10

Step-by-step explanation:

Add up as fractions:

1/2 + 2/5 =               Common denominator is 2*5 = 105/10 + 4/10 = 9/10

Option D

1/2+2/5(5+4)/109/100.9

Option D

How can you compare data sets?

Answers

When you compare two or more data sets, focus on four features:

Center. Graphically, the center of a distribution is the point where about half of the observations are on either side.

Spread. The spread of a distribution refers to the variability of the data. ...

Shape. ...

Unusual features.

Answer:

Common graphical displays (e.g., dotplots, boxplots, stemplots, bar charts) can be effective tools for comparing data from two or more data sets.

Step-by-step explanation:

MARK ME AS A BRAINLIST PLZ

Picture below! Plz, answer ASAP. Brainilest will be given!

Answers

Answer:

C

Step-by-step explanation:

just use calculator

Solve each system by elimination.

3) 3x + 4y = 12
-3x - y = 6

4) -5x – 6y = 5
-6x + 6y = 6

5) 7x - 4y = 19
10x - 2y = 16

6) 10x - 9y=-13
5x – 3y =-11

Answers

Answer:

3) x = -4 and y = 6

4) x = -1 and y = 0

5) x = 1 and y = -3

6) x = -4 and y = -3

Step-by-step explanation:

3) Add the equations:

(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)

= 3y = 18

y = 18/3

y = 6

3x + 4(6) = 12

3x = 12 - 24

x = -12/3 = 4

4) Add the equations:

(-5x - 6y = 5) + (-6x + 6y = 6)

-11x = 11

x = -1

-5(-1) -6y = 5

-6y = 5 - 5

y = 0

5) 7x -4y = 19

10x - 2y = 16

Multiply the second equation by -2 to eliminate the y and add both equations.

-2(10x -2y = 16) =

(-20x + 4y = -32) + (7x - 4y = 19)

-13x = -13

x = 1

7(1) - 4y = 19

-4y = 19-7

y = 12/-4

y = 3

6) multiply the second equation by -2 to eliminate the x and then add the equations.

-2(5x - 3y = - 11) =

(-10x + 6y = 22) + (10x - 9y = - 13)

= -3y = 9

y = - 3

10x - 9(-3) = - 13

10x = -13 - 27

x = -40/10

x = -4

Find the equation of the linear function represented by the table y0 5 10 15 x 1 2 3 4​

Answers

Answer:

y = 5x

Step-by-step explanation:

The first step is to find the slope. The table shows an increase of 5 on the x-axis and 1 on the y-axis. Our slope is 5/1 or 5

The y-intercept is 0 because when x=0, y=0. The value of y is the y-intercept.

Consider the graph shown. What is the slope of the line above?
m=1/2
m=2
m= -1/2
m= -2
And which equation represent?
y= -1/2x-1
y= 1/2x-1
y= -2x+1
y= 2x-1

Answers

Answer:

i need points im so sorry

6x44
hbgvtfwtydtwftdftwyfdywdwd

Answers

Answer:

264

Step-by-step explanation:

well you could have just used a calculator!

Answer:

Step-by-step explanation:

es 264   como estas

10.com
Leg, width
and height

Answers

Answer:

420 cm^3

Step-by-step explanation:

1. The volume of a rectangular prism is [tex]l * w * h[/tex], where l = length, w = width, and h = height.

2. (Solving)

[tex]6*7*10[/tex] [tex]42*10[/tex] [tex]420[/tex] 420 cm^3

Therefore, the volume is 420 cm^3.

Find the constant of proportionality
when x = 2 and y = 1.5

Answers

Step-by-step explanation:

y=kx

1.5=k×2

1.5/2=k

15/2×10=k

3/2×2=k

3/4=k

0.75=k.

A.-8
B.12
C.-20
D.32

Answers

Answer:

C. -20

Step-by-step explanation:

Step 1: [tex]\frac{mn}{p}[/tex] + (-n)  Write down equation

Step 2: [tex]\frac{2(12)}{-3}[/tex] + (-12)   insert values into equation

Step 3: [tex]\frac{24}{-3}[/tex] - 12 Simplifying fraction and parentheses

Step 4: -8 - 12 Simplifying fraction 24/-3 = -8

Answer: -20

In 2000 pizza costs 7.50 and in 2015 it costs 9.00 what is the percentage of change in the cost of the pizza

Answers

percentage change = difference/original x 100

(9.00-7.50)/7.50 x 100 = 2.50/7.50 x 100
= 1/3 x 100
= 33.3% increase

Please help me!! Thank you

Answers

Answer:

get a smarter person to help i just need my points

Step-by-step explanation:

hi po pahelp ito pls pls pls pls pls pls pls​

Answers

money

shopping

dividing

8.70 divided by 0.46

Answers

Answer:

18.91304348

Step-by-step explanation:

Just divide it and you get the answer. When you divide something by a decimal, it acts more like multiplying and less like dividing lol (cuz the answer is bigger than the other 2 numbers)

c. The double shadedregion represents
of the whole.

Answers

Step-by-step explanation:

please the information needed is up the paper. you took a picture of no. 2 instead of no. 1

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

3 centimeters : 100 centimeters

Step-by-step explanation:

The scale is 6 centimeters = 2 meters or 6 centimeters : 2 meters

2 meters = 200 centimeters

Both of them are multiples of 2, so simplify:

6/2 centimeters = 200/2 meters

3 centimeters : 1 meter, or 3 centimeters : 100 centimeters

-Chetan K

What would 4 divided 4/5 be and please explain step by step or show your work on a piece of paper to get marked =]

Answers

Answer:

5

Step-by-step explanation:

4/1 ÷ 4/5 = 4/1 x 5/4 = 20/4 = 5

Give an example of a number between 20 and 50 which is a multiple of 3 and also a factor of 84.​

Answers

Answer:

69

Step-by-step explanation:

by eliminating 20 from 84 we get 64 then add the 3 to get 67 and then we know that we always add 2 to our answers and therefore get 69

--- point (MC) 8 9 What is the value of m in the equation? 239 - 7 = m - 2

Answers

Answer:

m=234

Step-by-step explanation:

239-7=232

The equation now looks like this:

232=m-2

Add 2 on both sides:

m=234

Hope this helps!

jun has two less more than three times as many books as harriet. if jun has 13 book how many books does harriet have plsss helpp

Answers

Hazlo tu misma, perra. 39

A sample of 800 computer chips revealed that 57% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 62% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Determine the decision rule for rejecting the null hypothesis, H0, at the 0.02 level.

Answers

Answer:yes

Step-by-step explanation:

yes

A bank loaned out ​$13,000​, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received in one year totaled ​$1500​, how much was loaned at 7%?

Answers

Answer:

Total yearly interest for the two accounts is: $1500

Step-by-step explanation:

Total amount of money invested: $13000

x+y=13000,

Total yearly interest for the two accounts is: $1500

0.07*x+0.17*y=1500

x=13000-y

Substitute for x

0.07*(13000-y)+0.17*y=1500

Multiply out

910-0.07y+0.17*y=1500

Combine like terms.

0.1*y=590

Isolate y

y=$ 5900.00 at 17%

x=13000-y

Calculate x

x=$ 7100.00 at 7%

Check

0.07*7100+0.17*5900=1500

497+1003=1500

1500=1500

If this statement is TRUE and neither amount is negative then all is well

(Hope this helps can I pls have brainlist (Crown)☺️)

Multiply or divide.
[tex] \frac{8}{12} = \frac{?}{?} = \frac{?}{?} [/tex]

Answers

Answer

8/12=4/6=2/3

When simplifying, if both the numerator and the denominator are even you can just divide them by two

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