A motorboat travels 204 kilometers in 6 hours going upstream. It travels 372 kilometers going downstream in the same amount of time. 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: 48 km/hcurrent: 14 km/h

Step-by-step explanation:

The upstream speed is ...

  u = (204 km)/(6 h) = 34 km/h

The downstream speed is ...

  d = (372 km)/(6 h) = 62 km/h

The speed of the boat in still water is the average of these values:

  b = (34 kph +62 kph)/2 = 48 kph

The speed of the water is the difference between the boat's speed and the speed made good:

  w = 48 -34 = 14 . . . km/h

The rate of the boat in still water is 48 km/h. The rate of the current is 14 km/h.


Related Questions

A store is having a 25% off sale on all shirts. Show TWO different ways to calculate the sale price for a shirt that normally costs $24.00

Answers

Answer:

Find 10% Then half it to find 5%. Times what 10% is by 2 and then add the 5%. Or find out what goes into 24 4 times as it's 25% off and 25 goes into 100 4 times.

Step-by-step explanation:

Guys can you help me please :( ASAP

Answers

Answer:

The answer is 25 + 11

Step-by-step explanation:

Hope this helps

In Prodigy, Luigi's inventory weighs 3 2/3. He is collecting old socks which each weigh 4/3.

Construct an equation that represents the total weight of Luigi's inventory based on how many old socks he collects. Use fractions or decimals as given in the question.

Let the total weight of his inventory be represented as i.
Let the total weight of the old socks collected be represented as s.

i = ? (s) + 3 2/3

What is the total weight of his inventory if he collects 27 books? ( Your final answer should be a decimal)

i = 4/3 (27) + 3 2/3 = ?

Answers

Answer:

the answer should be like 24 sorry if im wrong

Step-by-step explanation:

Two sides of a parallelogram are 8.5 feet and 3.8 feet. The measure of the angle
between these sides is 107º. Find the area of the parallelogram to the nearest 10th of
a square foot.

Answers

Answer: 30.9

Step-by-step explanation:

Delta math

Answer:

The area of parallelogram is 30.9 ft²

Step-by-step explanation:Definition of parallelogram and its area

The area of a parallelogram is defined as the region or space covered by a parallelogram in a two-dimensional plane. A parallelogram is a special kind of quadrilateral. If a quadrilateral has two pairs of parallel opposite sides, then it is called a parallelogram.

Let the sides of a parallelogram a, b and height h.

Now the area of parallelogram= a*h

given data are

angle between two sides =107°

and sides are a=8.5 feet and b=3.8 feet

The height of the parallelogram [tex]h= bsin\alpha[/tex]

now height [tex]h= 3.8*sin107\\h=3.634 feet[/tex]

Now the area of parallelogram = 8.5*3.634

Now the area of parallelogram=30.9 ft²

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PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!

SELECT ALL THAT APPLY

Which of the following are INDEPENDENT events?

a.) You randomly choose 2 socks from a drawer, hoping they will match.

b.) You draw a marble from a bag, replace it, and draw again.

c.) You draw two numbers from 1 to 10 from a hat without replacing the first.

d.) You flip a coin and roll a number cube.

Answers

Answer:

The answer is D.

An event D is said to be independent of another event.

Astronomers classified the planets into six sizes with five atmosphere types and four average temperature ranges. How many different planet types are there?

Answers

Fire, ice, and inhabitants


PLS HELP WITH THESE TWO QUESTIONS PLSSS
NO LINKS

Answers

Answer:

B for the first one

C for the second one

Step-by-step explanation:

i know probability

Which one A B C or D?

Answers

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot? Assume y not-equals 0.

Answers

" StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot "is

(X^7/2)(y^-3/5) which is expressed as Option A (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)

This is further explained below.

What is an expression?

Generally, An expression, often known as a mathematical expression, is a finite collection of symbols that is well-formed according to principles that are dependent on the context in which the expression is being used.

In conclusion, The expression equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot is

(X^7/2)(y^-3/5) hence  (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) Option A.

Read more about expression

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CQ

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot?

Assume y not-equals 0. (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) (x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline) (x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline) (x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline).

Answer:

A

Step-by-step explanation:

5. Write in Polar form the following complex numbers
(a) 4+6j

Answers

Answer:

https://www.wolframalpha.com/widgets/view.jsp?id=ecc4c3ee7c6b1f12d078f6541a983c2d

use that it will give you a step by step answer.

Determine the value of x
ASAP! Help!

Answers

Answer:

Step-by-step explanation:

B

90/20=4.5

CARD #8: Henry says that the two figures will be congruent. A figure on a coordinate plane is dilated by a scale factor that is less than one. Heather says that the two figures will be similar.​

Answers

Answer:

Heather is correct.

Step-by-step explanation:

Two figures are similar if the figures have the same shape but different size

Two figures are congruent if they have the same shape and size.

So, if we dilate a given figure (by any factor different than one) then we are changing the size of this figure.

Finally, a figure and its dilation can't be congruent, as these figures have different size (but still have the same shape, so the figures are always similar)

Then Heather is correct.

What is the range of the data Colin collected?

Answers

Answer:

5

Step-by-step explanation:

Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?

Answers

First lets find the total number of cookies

12*4=48

48 cookies

Number of cookies eaten

5*2=10

10 were eaten

Cookies left

48-10=38

38/48=19/24

19/24 of the cookies are left

Answer:

38 are left

Step-by-step explanation:

What is the volume of a sphere with a radius
of 6?
A 721
14471
2161
IN 288rt

Answers

Answer:

the volume is 904.32. that guy I don't know what

A 721

14471

IN 288rt

means

Please help me answer thisss!!

Answers

Answer:

The diamonds question is that you have a 25% chance to get one, and the other one is a 7.7% chance to get a two

Step-by-step explanation:

You divide 52 by 13 or 4, and with the result, you divide 100 by the result, and you get a porcentage

Please please help!!!!

Answers

Answer:

7 and 1/4

Step-by-step explanation:

Answer:

The answer is 7 1/4 or 29/4

Step-by-step explanation:

Which term contains a coefficient?
m + 3n + p + 3

Answers

the answer is 3n because the 3 is the coefficient

Answer:

3n

Step-by-step explanation:

A coefficient is a number  (integer) which is multiplied with an unknown value (the variable of a single term or the terms of a polynomial).

In this case , n is the variable of a single term and 3 is the coefficient.

Three factories produce light bulbs to supply the market. Factory A produces 40%, 20% of the tools are produced in factory B and 40% in factory C. 5% of the bulbs produced in factory A, 3% of the bulbs produced in factory B and 4% of the bulbs produced in factory C are defective.A bulb is selected at random in the market and found to be defective. What is the probability that this bulb was produced by factory A?

Answers

Answer:

0.4762 = 47.62% probability that this bulb was produced by factory A

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Bulb is defective.

Event B: Produced by factory A.

Probability of a bulb being defective.

5% of 40%(factory A)

3% of 20%(factory B)

4% of 40%(factory C). So

[tex]P(A) = 0.05*0.4 + 0.03*0.2 + 0.04*0.4 = 0.042[/tex]

Defective and from factory A:

5% of 40%. So

[tex]P(A \cap B) = 0.05*0.4 = 0.02[/tex]

What is the probability that this bulb was produced by factory A?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.042} = 0.4762[/tex]

0.4762 = 47.62% probability that this bulb was produced by factory A

Find the measure of a 3.
ts
43
90°
<<
43 = [?]

Answers

The correct answer is 90

5 equivalent fractions of 4/8​

Answers

Answer:

2/4 1/2 5/10 6/12 10/20

Step-by-step explanation:

just pick an even denominator and take half of that number for the numerator. This only works because the most basic form of 4/8 is 1/2. This method only works if your selected fraction is equivalent to 1/2.

1/2
2/4
6/12
12/24
50/100

Basically any number that can split evenly like 4/8

type to justify why the two larger triangles are congruent

Answers

Answer:

HL

Step-by-step explanation:

We are dealing with triangle DAB and CBA.

Angles DAB and CBA are right angles making the triangles right triangles.

Side AB is congruent to side BA. That is a leg of each of the two triangles.

Side DB is congruent to side CA. Tat is a leg of each triangle.

The triangles are congruent by HL.

The fraction 5/8
produces a repeating decimal.
___
0.625

True or False

Answers

Answer:

False i just did it

Step-by-step explanation:

5 + 0.55x = 10 + 0.75x pls help and explain ​

Answers

Step-by-step explanation:

hope it is helpful to you

X = -25

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.55x + 5 = 0.75x + 10

Step 2: Subtract 0.75x from both sides.

0.55x + 5 − 0.75x = 0.75x + 10 − 0.75x

−0.2x + 5 = 10

Step 3: Subtract 5 from both sides.

−0.2x + 5 − 5 = 10 − 5

−0.2x = 5

Step 4: Divide both sides by -0.2.

−0.2x/−0.2 = 5/−0.2

x = −25

Activity 4:
roup
Evaluate 2x + 5 if:
1. X=5
2. X=4
3. X=-7
4. x = 0
5. x= 13
please anwer it​

Answers

Answer:

1. 15

2. 13

3. -9

4. 5

5. 31

just put the values in the given equation.

:)

given the formula solve for x.
y - y1 = m(x-x1)

Answers

Answer:

[tex]y - y' = m(x - x') \\ (x - x') = \frac{(y - y')}{m} \\ x = \frac{(y - y')}{m} + x'[/tex]

(1,4) (2,7) (3,10) (4,13) find the equation in slope-intercept form.​

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

The way you find slope is change in y over change in x, (as a fraction).

So then your equation is y = 3x because the y value goes up 3 times and the x goes up once (3/1), and then you see what value y has when x = 0 to find the b value, which is one.

Find the volumes of the solids whose bases are bounded by the circle x^2 + y^2 = 9, with the indicated cross sections taken perpendicular to the x-axis.
a) Squares

Answers

x ^2 + y ^2 = 9   =>   y = y(x) = ± √(9 - x ^2)

Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by y(x), which is

√(9 - x ^2) - (- √(9 - x ^2)) = 2 √(9 - x ^2)

The area of each square section is the square of this length,

(2 √(9 - x ^2)) = 4 (9 - x ^2) = 36 - 4x ^2

We get the whole solid for -3 ≤ x ≤ 3, so integrating gives a volume of

[tex]\displaystyle\int_{-3}^3(36-4x^2)\,\mathrm dx=\boxed{144}[/tex]

Activity Solve the equation
of the variables you find in ea
following equations.
a
1. Solve for a: 3a = -4.2

Answers

Answer:

a= -1.4

Step-by-step explanation:

Answer:

-1.4

Step-by-step explanation:

What is an angle?
A. part of a line that has two endpoints
ОО
B. part of a line that has one endpoint
C. two rays that have the same endpoint
O O
D. two rays that have the same length

Answers

Answer:

A .part of a line that has two end points

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