A motorboat travels 448 kilometers in 8 hours going upstream and 440 kilometers in 5 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

Answers

Answer 1

9514 1404 393

Answer:

boat: 72 km/hcurrent: 16 km/h

Step-by-step explanation:

The speed difference between boat and current is the upstream rate:

  (448 km)/(8 h) = 56 km/h

The sum of speeds of boat and current is the downstream rate:

  (440 km)/(5 h) = 88 km/h

The rate of the boat is half the sum of these:

  (56 +88)/2 = 72 . . . km/h

The rate of the current is half their difference:

  (88 -56)/2 = 16 . . . km/h

The rate of the boat is 72 km/h; the rate of the current is 16 km/h.


Related Questions

A triangle with a perimeter of 30 inches has sides of x+3, 2x+5, and x. find the value of x

Answers

Answer:

x = 5.5 inches.

Step-by-step explanation:

The perimeter is the sum of the 3 sides, so:-

x + x + 3 + 2x + 5 = 30

4x + 8 = 30

4x = 22

x = 5.5.

15. Create Write a real-world problem that can be solved by modeling integer
operations on the number line.

Answers

Answer:

The temperature was 80 degrees and it dropped 10 degrees. What is the temperature now?

80 - 10 = 70 degrees

Step-by-step explanation:

Multiply 25 by the difference of 34.78 and 12.99.

Answers

544.75 . Hope this helped !
Hope you understood pls give me the brainliest :)))

describe impulse buying

Answers

Answer:

impulse bullying.

Step-by-step explanation:

Impulse bullying is like he is less likely to be a gang member. His bullying is more impulsive and may appear to be more random. Even when authorities are likely to impose penalties, he finds it impossible to prevent himself from engaging in the activity. He might be suffering from ADHD. Medication, behavioral therapy, and social skills training may help him. He will also most likely be bullied.

Determine which of the given points are on the graph of the equation.
Equation: x² + y2 = 2
Points: (1, -1), (-1,0), (1,1)
Which of these points are on the graph of the equation? Select all that apply.
A. (1, -1)
B. (1,1)
C. (-1,0)
D. None of the points are on the graph.

Answers

Answer:

D. none

Step-by-step explanation:

to figure out if the point is on the graph, take the x value and plug it in to the x coordinate, do the same for y. if the values truly add up to 2, then it is on the graph. Since none of the values add up to 2, they are not on the graph.

What is the closest side lenght of this square? Area=99 square units​

Answers

Answer:

3[tex]\sqrt{11}[/tex]

Step-by-step explanation:

[tex]\sqrt{99}[/tex] = 3[tex]\sqrt{11}[/tex]

The area of a rectangle is 99 square units. Its width measures 9 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

Annie borrowed $354 from her parents to buy a tablet. She plans to pay the money in 2 equal payments per month for the next 12 months. How much will each payment be?

Answers

Answer:

$354 divided by 12 equal payments equals $29.50 per month

Step-by-step explanation:

$354 divided by 12 months (also 12 equal payments) = $29.50 per month.

40 points please help

Answers

Answer:

[tex]\huge\boxed{-2}[/tex]

Step-by-step explanation:

Use any two points from the line.

Let them be:

(x1,y1) = (0,-2)

(x2,y2) = (-1,0)

Now,

[tex]\displaystyle Slope = \frac{y_2-y_1}{x_2-x_1} \\\\Slope = \frac{0-(-2)}{-1-0} \\\\Slope = \frac{2}{-1} \\\\Slope = -2\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

There are 80 cupcakes to be sold at school for a
fundraiser.
1/4 were chocolate
1/5 were vanilla
The rest were strawberry flavored. How many
cupcakes were strawberry flavored?

Answers

Answer:

44

Step-by-step explanation:

Let S = strawberry count

Chocolate = 1/4 * 80 = 20

Vanilla = 1/5 * 80 = 16

Total = C + V + S

80 = 20 + 16 + S

80 - 20 - 16 = S = 44

Dana can type nearly 90 words per minute. Use this information to find the number of hours it will take her to type 2.6 x 105 words ,convert between standard decimal notation and scientifc​

Answers

     We can solve this problem by using the fact that speed of typing is defined as the words typed in unit time.

Dana will type [tex]2.6\times 10^5[/tex] words in 48.15 hours.

It's given in the question,

Dana can type 90 words per minute.

Since, 1 minute = [tex]\frac{1}{60}[/tex] hours

Therefore, number of words she can type = [tex]\frac{90}{\frac{1}{60}}[/tex]

                                                                      = 90×60

                                                                      = 5400 words per hour

She types [tex]2.6\times 10^5[/tex] words in 'x' hours.

Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time

= [tex]5400\times x[/tex]

Therefore, [tex]5400\times x =2.6\times 10^5[/tex]

[tex]5400x=260000[/tex]

[tex]x=\frac{260000}{5400}[/tex]

[tex]x=48.15[/tex] hours

               Therefore, Dana types [tex]2.6\times 10^5[/tex] words in 48.15 hours.

Learn more,

https://brainly.com/question/621754

Consider the function f whose graph is shown below. Find f(-2)

Answers

Answer:

Step-by-step explanation:

See the picture below

how do you write 9/11 as a decimal

Answers

Answer:

0.81

Step-by-step explanation:

Answer:

0.81818181818181....

Step-by-step explanation:

It is irrational

Picture provided above please help if can !

Answers

Answer:

10.1

Step-by-step explanation:

I just put in a calculator and got the answer.

john has 1 chicken jake took one how much does john have left

Answers

Answer:

0 because 1-1=0 and that is the answer

He has 0 because 1-1=0

Four times the sum of twice a number and -3 is less than times that same number

Answers

four times the sun of twice a number and -3

435 divided by 15 equals what?

Answers

The answer is 29 hope this helps :D

The sale price of a laptop bag is $35.00. This is 80% of the original price.

What was the original price of the laptop bag?

Answers

Answer:

$43.75

Step-by-step explanation:

(35/8)x10=43.75

Monico invests $9,000 at 2% simple interest for 1 year. How much is in the account at the end of the 1 year period ?

Answers

Answer:

9180

Step-by-step explanation:

9000*1.02

Answer:

There will be $8820 in Monico's account at the end of the one year period.

Step-by-step explanation:

9000*0.02 = 180

9000 - 180 = 8820

Have a nice day! :-)


Find the value of ab when a =
9/11
and b =
7/10
The answer is
(Simplify your answer.)

Answers

a= 9/11 and b=7/10

now,

ab = (9/11)×(7/10)

=63/110.......

the value of ab is 63/110 when a = 9/11 and b = 7/10

What is Simplification?

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, the values of a and b are 9/11 and 7/10 respectively

thus,

ab = 9/11 * 7/10

simplifying it

ab = 63/110

Therefore, the value of ab is 63/110 when a = 9/11 and b = 7/10

Learn more about Simplification here:

https://brainly.com/question/28996879

#SPJ

three candidates sat for mathematics examination and their probabilities of passing are 4/5,3/5 and 2/5.find the probability that at least one passed?​

Answers

hksjhuja kanhshke kkajbevbeks jjsbbwne k

I need help getting the equation

Answers

Answer:

2.5v + 85

v = 12

Step-by-step explanation:

115 - 85 = 30

30 / 2.5 = 12 (He needs to go 12 times)

what is
3. {Review} 8 x 9 = *
4. {Review} 12 x 4 = *
5. {Review} 7 x 8 = *
6. {Review} 6 x 3 = *
7. {Review} 9 x 5 = *
8. {Review} 6 x 8 = *
9. {Review} 27 ÷ 3 = *
10. {Review} 36 ÷ 6 = *
11. {Review} 132 ÷ 12 = *
12. {Review} 110 ÷ 11 = *
13. {Review} 28 ÷ 4 = *
14. {Review} 35 ÷ 7 = *

Answers

Answer:

3. 72

4. 48

5. 56

6. 18

7. 45

8. 48

9. 9

10. 6

11. 11

12. 10

13. 7

14. 5

How many trucks will pass Luann if 90 vehicles passed her??

Answers

Answer:

90????

Step-by-step explanation:

is this a tongue twister or what??

plzzzzzzzzz helppppp​

Answers

Answer:

The second and third boxes. m=-10/4 & -5/2 & the last one

Step-by-step explanation:

We know the answer is negative so we need to add a larger number to get the 3/4 to the negatives. 3-10= -7, so -10/4 and -5/2 is equal to -10/4

Answer:

The second one m= -10/4, the third one m= -5/2, and the last one -5/4+m= -15/4

Step-by-step explanation:

You find m by solving -7/4 - 3/4 = m. Thats the second option -10/4.

When you simplify, you get -5/2, the third option.

Finally, -5/4+m= -15/4 is equal to -15/4 -(-5/4)=m. Subract and you get -10/4. That makes the original equation equal to the last option.

How do I write 680,705 in expanded form.

Answers

Answer:

600,000+80,000+700+5

Proving functions are inverses of each other: are these inverses of each other band can you explain why or why not.

Answers

9514 1404 393

Answer:

  a) J(K(x)) = x; K(J(x)) = x; functions are inverses

  b) f(g(x)) = 8 -x; g(f(x)) = -x; functions are not inverses

  c) f(x) = 4 -x; f^-1(x) = 4 -x. g(x) = x -4; g^-1(x) = x +4

Step-by-step explanation:

a) Substitute for the function argument in the usual way. If the functions are inverses, their composite is the identity function.

  J(K(x)) = J(1/3x -2) = 3(1/3x -2) +6 = x -6 +6 = x . . . . functions are inverses

  K(J(x)) = K(3x +6) = 1/3(3x +6) -2 = x +2 -2 = x . . . . functions are inverses

__

b) f(g(x)) = f(x -4) = 4 -(x -4) = 4 -x +4 = 8 -x . . . . functions are not inverses

  g(f(x)) = g(4 -x) = (4 -x) -4 = -x . . . . functions are not inverses

__

c) To find the inverse function for y = f(x), solve x = f(y).

The inverse of f(x) = 4 -x is ...

  x = f(y) = 4 -y

  y = 4 -x . . . . . add y-x to both sides

  f^-1(x) = 4 -x

and for g(x) = x -4, the inverse is ...

  x = g(y) = y -4

  x +4 = y

  g^-1(x) = x +4

Find the slope of the line.
x= 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope is m = (Type an integer or a simplified fraction.)
OB. The slope is undefined.

(Answer quickly)

Answers

The slope is undefined

Answer:

B

Step-by-step explanation:

x = 4 is a vertical line parallel to the y- axis with an undefined slope

which is small 1.2 or 1.7​

Answers

Answer:

1.2 is less so your answer should be 1.2.

= 1.2

If you're measuring mountains, they're both huge.

If you're measuring green peas, they're both small.

Either way, 1.2 is smaller than 1.7 .

Please help me answer this question

Answers

Answer:

Step-by-step explanation:

ten students are chosen from a statistics class of 300 let x be the number who got an a in the class

PLEASE HELP!!! Find the distance between the following two points: (3,7) and (5,0). Round to the nearest TENTH.

Answers

Step-by-step explanation:

7.3 when rounded to the nearest tenth

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