A paddleboat can move at a speed of 4 ​km/h in still water. The boat is paddled 12 km downstream in a river in the same time it takes to go 6 km upstream. What is the speed of the​ river?

A Paddleboat Can Move At A Speed Of 4 Km/h In Still Water. The Boat Is Paddled 12 Km Downstream In A

Answers

Answer 1

Answer:

Speed of the river = [tex]\frac{4}{3}[/tex] km per hour

Step-by-step explanation:

Speed of the boat in still water = 4 km per hour

Let the speed of the river = v km per hour

Speed of the boat upstream = (4 - v) km per hour

Time taken to cover 6 km = [tex]\frac{\text{Distance}}{\text{Speed}}[/tex]

                                           = [tex]\frac{6}{4-v}[/tex] hours

Speed of the boat downstream = (4 + v) km per hour

Time taken to cover 12 km = [tex]\frac{12}{4+v}[/tex] hours

Since, time taken by the boat in both the cases is same,

[tex]\frac{6}{4-v}= \frac{12}{4+v}[/tex]

6(4 + v) = 12(4 - v)

24 + 6v = 48 - 12v

12v + 6v = 48 - 24

18v = 24

v = [tex]\frac{24}{18}[/tex]

v = [tex]\frac{4}{3}[/tex] km per hour


Related Questions

A population has mean j = 18 and standard deviation o = 20. Find I, and oz for samples of size n = 100, Round your answers to
one decimal place if needed,

Answers

Answer:

))

Step-by-step explanation:

just place your decimal once to the left I think

I'm not sure if this will be easy for some of you I really need help

Answers



8t-(5-2t) = 5(2t-1)

distribute the negative on the left side, distribute on the right

8t-5+2t = 10t-5

combine like terms

10t-5 = 10t-5

t=0 or (-infinity, infinity)


What is the solution to
this system of linear
equations?
3
2
1
-4-3-2-1,0 1 2 3 4
Aώ Ν.
A
(1, -3)
B
(-3, 1)

Answers

A(1,-3)
Solution because that the coordinate they meet at and you read it from the x axis to the y axis

Scott invested a total of $5400 at two separate banks. One bank pays simple interest of 12% per year while the other pays simple interest at a rate of 8% per year. If Scott earned $552.00 in interest during a single year, how much did he have on deposit in each bank?

Answers

Answer:

Scott invested $ 3,000 at 12% annually, and $ 2,400 at 8% annually.

Step-by-step explanation:

Since Scott invested a total of $ 5400 at two separate banks, and one bank pays simple interest of 12% per year while the other pays simple interest at a rate of 8% per year, if Scott earned $ 552.00 in interest during a single year, to determine how much did he deposit in each bank, the following calculation must be performed:

5400 x 0.12 + 0 x 0.08 = 648

4400 x 0.12 + 1000 x 0.08 = 608

3000 x 0.12 + 2400 x 0.08 = 552

Therefore, Scott invested $ 3,000 at 12% annually, and $ 2,400 at 8% annually.

A Professor at a Nigerian University sent his phone number in a disorderly manner to his students. The disordered phone number was 82002273285.To know his real phone number, he gave the student the following conditions:(1) Eight (8) must come between two zeros (0's). (2)The first number after the first condition is met must not be an odd number and it must be greater than 5. (3)The seventh number must be 1. (4) The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.(5)The fifth and sixth numbers are greater than 2.(6)The ninth and tenth numbers are the same.(7)The eighth number is greater than the last number (8) The phone number must be 11 digits. What is the Professor's real phone number? ​

Answers

Answer:

I think you have a type.. "the seventh number must be a 1"

there are no 1's in the original set of numbers

Step-by-step explanation:

The perimeter of a rectangular swimming pool is 56 meters. The width is 4 meters less than the length. What is the width of the swimming pool?

Answers

Answer:

52mtrs

Step-by-step explanation:

if length is 56meeters and the width is 4meeters less then 56 -4 = 52 so width is 52mtrs

Math help please ………….

Answers

Answer:

if the terms are approaching zero then it is convergent.

Therefore the stated series is convergent

Step-by-step explanation:

Need help on the last problem please.

Answers

Answer:

6 of x and 5 of y

Step-by-step explanation:

x = number of closets of the first type

y = number of closets of the second type

1200 = 100x + 120y

100 = 10x + 8y

10x = 100 - 8y

10x(100 - 8y) + 120y = 1200

1000 - 80y + 120y = 1200

40y = 200

y = 5

100 = 10x + 8×5 = 10x + 40

60 = 10x

x = 6

20x + 24y = max

20×6 + 24×5 = 120 + 120 = 240

What fraction of the total number of students are boys?

Answers

Step-by-step explanation:

total number of students are :4x 3 = 12

Fraction that's boys are : 3÷12

Problem is in the picture below

Answers

Answer:

68.1

Step-by-step explanation:

If those angles are congruent, then all side lengths follow the same ratio.

So the smaller triangle side length of 9 over the small side length of the bigger triangle 21.5, is the ratio for all the sides.

9/21.5 = unknown side / 48

unknown side = 48 * 9/21.5

So to find the length of CD, multiply 48 by our ratio to get ~ 20.1

Add that to our 48 and we get 68.1

If p and q are whole numbers such that p×q=37, find the value of p+q​

Answers

Answer:

6x6

Step-by-step explanation:

find the place value of 1 in 382619.​

Answers

Answer:

Place value of 1 = 1 × 10 = 10

Step-by-step explanation:

In 382619,

Place of 1 = Tens

Place value of 1 = 1 × 10 = 10

The place value of 1 is 10 as it is in the tens column.

870,640 rounded to the nearest ten thousand

Answers

Answer: 870,000

Step-by-step explanation: First find the digit in the rounding place

which in this case is the 7 in the ten thousands place.

Next, we look at the digit to the right of the 7, which is 0.

According to the rules of rounding, if the digit to the right

of the rounding place is less than 5, we round down.

So the 7 in the rounding place stays the same

and all digits to the right of the become 0.

So 870,640 rounded to the nearest ten thousand is 870,000.

I will mark you brainliest if you provide evidence you know what your doing

Work out the problem and make the answer clear

Answers

Option C

SOLUTION:

We need to find the value of B - CF

First find the value CF:

[tex]CF=\left[\begin{array}{ccc}12&0&1.5\\1&-6&7\\\end{array}\right] \left[\begin{array}{ccc}-2&0\\0&8\\2&1\end{array}\right][/tex]

[tex]CF=\left[\begin{array}{ccc}12(-2)+0 *0+1.5*2&12*0+0.8+1.5*1\\1*(-2)+(-6)*0+7.2&1*0+(-6)*8+7.1\\\end{array}\right][/tex]

[tex]CF=\left[\begin{array}{ccc}-21&1.5\\12&-41\\\end{array}\right][/tex]

Now find value of B - CF:

[tex]B-CF=\left[\begin{array}{ccc}2&8\\6&3\\\end{array}\right] -\left[\begin{array}{ccc}-21&1.5\\12&-41\\\end{array}\right][/tex]

[tex]B-CF=\left[\begin{array}{ccc}23&6.5\\-6&44\\\end{array}\right][/tex]

∴ the value of B - CF is [tex]\left[\begin{array}{ccc}23&6.5\\-6&44\\\end{array}\right][/tex]

I hope this helps....

3х + 2 + (-5) in simplest form, thanks!

Answers

Answer:

3x-3

Step-by-step explanation:

3x has a variable attach, because no other numbers have a variable attached leave it alone.

2+(-5) are like terms so combine these two. 2+(-5)=-3

now put back in the equation

3x-3

Answer

3x - 3

Explanation

3x + 2 - 5

3x - 3

The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probability of a pregnancy lasting days or longer. b. If the length of pregnancy is in the lowest ​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

Answers

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.

b) We have to find X when Z has a p-value of [tex]\frac{a}{100}[/tex], and X is given by: [tex]X = \mu - Z\sigma[/tex], in which [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.

b. If the length of pregnancy is in the lowest a​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of [tex]\frac{a}{100}[/tex], and X is given by: [tex]X = \mu - Z\sigma[/tex], in which [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.

What is the surface area of this rectangular prism

Answers

Answer:

3*7 = 21*2=42

13*3=39*2=78

7*13=91*2=182

42+78+182=302

So the answer is D

Hope This Helps!!!

Answer:

D. 302

Step-by-step explanation:

This is how I did it:

First multiply 7 by 3, 21

Multiply that by 2 because there are 2 of those faces. 42.

Then multiply 3 by 13, and again by 2. 78.

And 13 by 7 by 2. 182.

Add. 302.

Or do an equation and use a calculator: 7(3)(2)+3(13)(2)+13(7)(2)=302

ABC ∆ where Angle A =90° , AB = 12 m, AC = 9 m . Find BC ?

( Show all your workings )
best answer will marked as brainalist
dont put fake ones

Answers

Answer:

15m

Step-by-step explanation:

Use Pythagoras

Folow the steps in the image

Answer:

:] brainlist me friends

The figure shows trapezoid ABCD on a coordinate plane.



Which of the following represents the area of this figure, rounded to the nearest square unit?

99
121
198
231

Answers

Answer:

121 unit^2.

Step-by-step explanation:

The area = height/2 * ( sum of the opposite parallel  lines)

= h/2(BC + AD

h = BF = 14 - 3 = 11 units.

BC   = 13 - 5 = 8 units.

AD = 16 - 2 = 14 units.

Area = (11/2)(8 + 14)

= 5.5 * 22

= 121 unit^2.

Answer:

121

Step-by-step explanation:

Use the image to complete the equation below. Do not include any spaces in your answer

Answers

Linear pair of angles are supplementary (180°).

So,

(3q) + (15q + 18) = 180°.

Work out m and c for the line:
y – 37 = 5

Answers

Answer:

first thing is y - 35 = 5

then y = 35 + 5 because when = come here - will be + and

then we should do+ y=40 answer

Leora wants to paint the nursery in her house. The nursery is an 8–by–10–foot rectangle, and the ceiling is 10 feet tall. There is a 3–by–6.5–foot door on one wall, a 3–by–6.5–foot closet door on another wall, and one 2–by–3.5–foot window on the third wall. The fourth wall has no doors or windows. If she will only paint the four walls, and not the ceiling or doors, how many square feet will she need to paint?

Answers

Answer:

The correct answer is - 242 ft^2

Step-by-step explanation:

Given:

one door : 3*6.5 => 19.5 ft^2

other door: 3*6.5 => 19.5 ft^2

a window: 2*3.5 => 7 ft^2

total =       46 ft^2

area of all four walls: 2h (l+b)

= 2(8) (10+8)

= 16 (18)

= 288 ft^2

paint required excluding doors and window:

=> area of your wall - (area of doors and window)

=> 288 - 46

= 242 ft^2


You and Michael have a total of $19.75. If Michael has $8.25, how much
money do you have?
$27.00
$28.00
$11.50
$12.00

Answers

Answer:

You have a total of $11.50

Step-by-step explanation:

We first subtract $19.75 by $8.25 and the result will be $11.50

Answer:

11.50

Step-by-step explanation:

19.75-8.35= 11.50

May I have the brainiest?

A rectangular prism has a volume of 60cm^3. What could the length, width and
height be? Explain how you know. "Recall, the formula for the volume of a prism
is V=lwh.
Can you guys help

Answers

L: 3
H: 10
W: 2
3x10x2=60
Rearrange height length width if needed for your answer
Hope this helps!

What is the answer
5 10 25 100 × ÷ ÷

Answers

Answer: 1/50, or 0.02

Step-by-step explanation:

I'm assuming this is 5*10/25/100. if you just follow the equation, you get 50/25/100, which is 2/100, or 1/50.

What are the solutions to the system of equations graphed below?

Answers

Answer:

D

Step-by-step explanation:

solution is the points where the two graphs intersect.

they intersect at (-3,-3) and (0,6)

How many cups of flour are required to make 9 dozen cookies? ( write your answer as a mixed number) Demonstrate your method of choice

Answers

Answer:

45/16

Step-by-step explanation:

[tex]1 \frac{1}{4} = 4[/tex]

[tex]x = 9 [/tex]

[tex]x = 1 \frac{1}{4} \times 9 \div 4[/tex]

[tex]x = \frac{5}{4} \times 9 \div 4[/tex]

[tex]x = \frac{45}{16} [/tex]

Many people consider their smart phone to be essential! Communication, news, Internet, entertainment, photos, and just keeping current are all conveniently possible with a smart phone. However, the battery better be charged or the phone is useless. Battery life of course depends on the frequency, duration, and type of use. One study involving heavy use of the phones showed the mean of the battery life to be 15.25 hours with a standard deviation of 2.2 hours. Then the battery needs to be recharged. Assume the battery life between charges is normally distributed.

Required:
a. Find the probability that with heavy use, the battery life exceeds 11 hours.
b. You are planning your recharging schedule so that the probability your phone will die is no more than 5%. After how many hours should you plan to recharge your phone?

Answers

Answer:

a) The probability that with heavy use, the battery life exceeds 11 hours is 0.4602.

b) Using the standard normal table, After 6.8 hours should you plan to recharge your phone.

Step-by-step explanation:

a) The probability that with heavy use, the battery life exceeds 11 hours:-

P(x > 11) = 1 - p( x< 11)  

[tex]=1- p P[(x - \mu) / \sigma < (11 - 10.75) / 2.4]\\\\=1- P(z < 0.10)[/tex]  

Using z table distribution,    

= 1 - 0.5398  

= 0.4602  

b) Using the standard normal table,  

[tex]P(Z < z) = 5%\\\\\\\\= P(Z < -1.645 ) = 0.05 \\z = -1.645[/tex]

Using the z-score formula,  

[tex]x = z \times \sigma + \mu\\x = -1.645 * 2.4 + 10.75\\x = 6.8 hours.[/tex]

Find the length of side AB.
Give your answer to 1 decimal place.​

Answers

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, scalene, equilateral, acute, obtuse and right angled triangle. A right angle triangle is a triangle with one angle being 90°.

Trigonometric ratios is used to show the relationship between the angles and sides of a right angled triangle. Examples are:

sinΘ = opposite/hypotenuse; cosΘ = adjacent/hypotenuse; tanΘ = opposite/adjacent

From the question:

cos(62) = AB/12

AB = 12 * cos(62)

AB = 5.6 cm

The park is 18 miles east of my home. The library is 12 miles north of the park. How far is my home from the library?
35 miles
21.6 miles
8.2 miles
18.6 miles

Answers

Answer :
21.6
Explanation :
Use Pythagorean theorem to solve it a^2+b^2=c^2

Answer:

21.6 miles

Step-by-step explanation:

If you draw, it'll be a right triangle with legs 12 miles and 18 miles, we need to find the hypotenuse.

So,

[tex] \sqrt{ {12}^{2} + 18^{2} } [/tex]

[tex] = \sqrt{144 + 324} [/tex]

[tex] = \sqrt{468} [/tex]

[tex] = 6\sqrt{13} [/tex]

6√13 ≈ 21.6

Answered by GAUTHMATH

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