A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?

Answers

Answer 1

Answer:

speed of boat is 35 mph

speed of river is 5mph.

Step-by-step explanation:

Let the speed of boat be u mph

let the speed of river be v mph

When boat travel downstream

in that case flow  of river will support the speed of boat hence

speed of river will be added to speed of boat

Thus,

speed of boat in downstream = speed of boat + speed of river = u + v

Given

the boat travels at 40 mph downstream

thus,

u + v = 40           -----1

When boat travel upstream

in that case flow  of river will oppose the speed of boat hence

speed of river will be subtracted from  speed of boat

Thus,

speed of boat in downstream = speed of boat -speed of river = u - v

Given

the boat travels at 30 mph upstream

thus,

u - v = 30  ----2

adding 1 + 2

we have

u + v = 40  

+ u - v = 30

2u = 70

u = 70/2 = 35

Thus,

speed of boat is 35 mph

using u = 35 in u + v = 40  

we have

35 + v = 40

v = 40 - 35 = 5

Thus, speed of river is 5mph.


Related Questions

Zn + 2HCI ZnCI2 + h2

Based on the reaction shown above, which statement best supports the law of conservation of mass?
There are more chlorine atoms in the reactant.

There are more hydrogen atoms in the product

The number of chlorine atoms is unequal in the reactants and products
.
The number of reactant atoms is equal to the number of product atoms.

Answers

Answer:

The number of reactant atoms is equal to the number of product atoms.

Step-by-step explanation:

ayo if you answer youll get brainliest
Solve the following Linear Equation.
3a + 2 (2a - 1) = 33
show work pls

Answers

Answer:

[tex] \huge{ \boxed{ \tt{a = 5}}}[/tex]

Step-by-step explanation:

[tex] \text{3a + 2(2a - 1) = 33}[/tex]

Distribute 2 through the parentheses

↦[tex] \text{3a + 4a - 2 = 33}[/tex]

Add the terms : 3a and 4a

↦ [tex] \text{7a - 2 = 33}[/tex]

Move 2 to right hand side and change it's sign

↦ [tex] \text{7a = 33 + 2}[/tex]

Add the numbers : 33 and 2

↦ [tex] \text{7a = 35}[/tex]

Divide both sides by 7

↦[tex] \text{7a\: / \: 7 \: = 35 \: / \: 7}[/tex]

↦ [tex] \text{a = 5}[/tex]

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

[tex]

\tt{\huge{ {a = 5}}}

[/tex]

Step-by-step explanation:

[tex]3a + 2(2a - 1) = 33 \\

Distribute \: 2 \: through \: the \: parentheses \: \\ 3a + 4a - 2 = 33 \\ 7a - 2 = 33

\\ 7a = 33 + 2\\ 7a = 35 \\

a = 5.\\ ♨Rage♨

[/tex]

1. Kirk is getting a raise of 5% due to inflation. His
normal salary is $56,000 per year. Which of the
following calculations gives Kirk's new salary, in
dollars?
A. 56,000 + 5
B. 56,000 + 56,000(0,05)
C. 56,000 + 56,000(0.50)
D. 56,000 + 56,000(5)
E. 56,0000.05)

Answers

Cccccccccccccccccccccccccccccc

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal. What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?

Answers

Answer:

$80

Step-by-step explanation:

From the question, we are given The simple interest formula as I = Prt,

where l = simple interest on an amount= $40

t= years=5years

at a rate r= 10%

The rate= 10/100= 0.1

Then since we are looking for P, we can make P subject of formula from this expression;

I = Prt

P=I/rt

P= 40/(0.1 ×5)

P= 40/0.5

P= 80

therefore, the amount of money p that is needed is $80

Answer:

the answer would be $80. :)

Step-by-step explanation:

Raymond uses the Venmo
app to transfer money to
his friends. He had $6.50.
He gave $2.95 to Theresa
and received $1.26 from
Peyton. How much money
does he have now?

Answers

Answer:

2.29

Step-by-step explanation:

2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.

And this one help me with

Answers

Mdskckskndnsnjsncjsnfjsndbap

Is the expression |-3|+ 4 equal to |-3 + 4| ? Justify your answer.

Answers

Answer:

Yes

Step-by-step explanation:

Absolute value keeps a number positive so, the 2 equations both equal 7.

question attached through picture​

Answers

Step-by-step explanation:

(1/n)^-2/3

= n^2/3

= 3 root of n^2

solution is 3)

these triangles are congruent by the triangle congruence postulate

Answers

the answer is a, sss

Answer: SSS

Step-by-step explanation:

SSS because we see no angles, and we know the triangles are congruent. B and C are eliminated which leaves SSS as the right choice.

what is the missing angle?

Answers

Answer:

the missing angle is 73

the floor of a room is in the shape of a square of side 4.8m. the floor is to be covered with square tiles of perimeter 1.2m. Find the cost of covering the floor if each tile costs rupees 27​

Answers

Answer:

the room square side is 4.8m

Area of the room is= 4.8=²23.04²m

perimeter of square tiles=4a =1.2

a=1.2/4

or a=o.3m

area of the square tiles =0.3²=0.09m²

numbers of the tiles are rcover floor of the room

23.0.4/0.09=256

each tiles cost Rs 27

the total cost=256*27=6912

the th coalst cover by the th floor is Rs .6912

Please answer real quick

Answers

Answer:

use symbolab

Step-by-step explanation:

Help with these math questions grade 12

Answers

Answer:

1. 15.1%

2. 8.3%

3. 12%

4. 25%

Step-by-step explanation:

1.

percent change = (new number - old number)/(old number) * 100%

percent change = (21300 - 18500)/(18500) * 100%

percent change = 15.1%

A positive percent change is a percent increase.

Answer: The percent increase is 15.1%.

2.

percent change = (new number - old number)/(old number) * 100%

percent change = (298000 - 325000)/(325000) * 100%

percent change = -8.3%

A negative percent change is a percent decrease.

Answer: The percent decrease is 8.3%.

3.

percent change = (new number - old number)/(old number) * 100%

percent change = (110 - 125)/(125) * 100%

percent change = -12%

A negative percent change is a percent decrease.

Answer: The percent decrease is 12%.

4.

percent change = (new number - old number)/(old number) * 100%

percent change = (1500 - 2000)/(2000) * 100%

percent change = -25%

A negative percent change is a percent decrease.

Answer: The percent decrease is 25%.

Which equation should you use to solve for x?
40°
60°
16x
O 60 + 16x + 40 = 180
O 60 + 40 = 16x
0 60 + 16x = 40
O 60 + 16x + 40 = 90

Answers

Answer:

1st Option

Step-by-step explanation:

All angles in a triangle must add up to 180°.

Step 1: Set up equation

40° + 60° + 16x = 180°

Step 2: Rewrite

60° + 16x + 40° = 180°

Answer:

Option: A.

Step-by-step explanation:

Hey there!

In the given triangle;

60° +16x° + 40° = 180° { Sum of interior angle of a triangle}

100° + 16x= 180°

16x = 180° - 100°

[tex]x = \frac{80}{16} [/tex]

Therefore, X= 5°.

So, Option A (equation) is used for solving the value of"X".

Hope it helps...

a= 18 in.
C = 82 in.
What is the length of b?

Answers

Answer:

B should equal 80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Use Pythagorean theorem so 18^2 +b^2 =82^2 which is 324 +b^2=6724 then subtract 324 on both sides then square root which is 80

Juan's rock collection consists of 8 quartz, 6 turquoise, 4 mica, and 2 silica. What is the percent for each of the given ratios? quartz turquoise mica silica

Answers

Answer:

Step-by-step explanation:i need points sorry

If a loaf of bread was priced $1.50 on one day and $1.20 the next, what is the percent decrease
of the price of the loaf of bread?

Answers

Answer:

20 percent decrease

Step-by-step explanation:

0.15 cents is 10 percent of 1.50, and that multiplied by 2 is 0.30 cents. 0.30 cents is equal to 20 percent, and the difference between 1.50 and 1.20 is 30 cents.

HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE

SHOW THE WORK BRO PLEASEEEE

What is the value of x?

Answers

Answer:

14

Step-by-step explanation:

∠AOB is a straight angle, meaning that it is 180°.  Since ∠AOC, ∠COD, and ∠DOB are within ∠AOB, the sum of all of the angles is equal to 180°.

∠AOC + ∠COD + ∠DOB = ∠AOB

(5x) + (3x + 30) + (2x + 10) = 180

5x + 3x + 30 + 2x + 10 = 180

10x + 30 + 10 = 180

10x + 40 = 180

10x + 40 - 40 = 180 - 40

10x = 140

10x/10 = 140/10

x = 14

A multiplication table. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Consider the highlighted products. The common factor is _____.

Answers

3, 3x3=9, 3x4=12, 3x5=15, 3x6=18

Answer: 3 for edgenuit y

Step-by-step explanation:

Four friends get the lunch special at a restaurant and leave a $3 tip. The total amount paid was $26.00. How much does the lunch special cost?

Answers

Answer:

23 dollars

Step-by-step explanation:

26 is the total with tax, so subtract the tax to get the lunch by itself

Answer:

it's 5.75

Step-by-step explanation:

first i subtracted 3$ from 26.00 and got 23.00 then i divide 23.00 by 4 and got 5.75 so that's what they payed

Miguel completed the division problem below. What is Miguel's error? 754 divided by 0.52. 52 StartLongDivisionSymbol 7540 EndLongDivisionSymbol minus 52 = 234. 234 minus 208 = 260. 260 minus 260 = a remainder of 0 and a quotient of 145. He included a 5 in the quotient, which does not belong. He multiplied the divisor by 10 and the dividend by 100. He subtracted 208 from 234 incorrectly. He multiplied the divisor by 100 and the dividend by 10.

Answers

Answer:

He multiplied the divisor by 100 and the dividend by 10.

Step-by-step explanation:

Given that

Divisor = 0.52

And, the dividend is 754

It can be written as

Divisor is 52 i.e. (0.52 × 100)

And, the dividend is 7540 i.e. (754 × 10)

Now if we multiplied by 100 and divide by 10 so it gives the same result

Therefore the last option is correct and the same is to be considered

And all the other options are wrong

Answer:

D He multiplied the divisor by 100 and the dividend by 10

Step-by-step explanation:

Hope this helps:)

what are the numbers if the GCF of these numbers is 12?

A) 24 and 36

B ) 18 and 24

C)14 and 16

D) 12 and 21

explain please...​

Answers

Answer:

a...................

If f(x)=ax²+bx+c and f(1)=6,f(2)=11,f(3)=18 find the value of a,b,c​

Answers

Given:

f(x) = ax² + bx + c

f(1) = 6

f(2) = 11

f(3) = 18

Find:

value of a,b,c​

Solution:

Substitute x = 1 , 2 , 3 in the given polynomial.

★ f(1) = a(1)² + b(1) + c

⟹ 6 = a + b + c -- equation (1)

Similarly,

★ f(2) = a(2)² + b(2) + c

⟹ 11 = 4a + 2b + c -- equation (2)

★ f(3) = a(3)² + b(3) + c

⟹ 18 = 9a + 3b + c -- equation (3)

Subtract equation (1) from (2).

⟹ 4a + 2b + c - (a + b + c) = 11 - 6

⟹ 4a + 2b + c - a - b - c = 5

⟹ 3a + b = 5 -- equation (4).

From equation (3) ,

⟹ 18 - c = 9a + 3b

⟹ 18 - c = 3(3a + b)

Substitute the value of 3a + b from equation (4).

⟹ 18 - c = 3 * 5

⟹ 18 - 15 = c

⟹ 3 = c

substitute the value of c in equation (1).

⟹  6 = a + b + 3

⟹ 6 - 3 = a + b

⟹ 3 = a + b -- equation (5)

Subtract equation (5) from equation (4).

⟹ 3a + b - (a + b) = 5 - 3

⟹ 3a + b - a - b = 2

⟹ 2a = 2

⟹ a = 1

Substitute a value in equation (5).

⟹ 1 + b = 3

⟹ b = 3 - 1

⟹ b = 2

Therefore,

a = 1

b = 2

c = 3.

I hope it will help you.

Regards.

i need some math help

Answers

Answer:

n = 15

Step-by-step explanation:

Step 1: Write equation

n/3 = 5

Step 2: Solve for n

Multiply both sides by 3: n = 15

Answer:

n = 15

Step-by-step explanation:

Step 1: Write equation

n/3 = 5

Step 2: Solve for n

Multiply both sides by 3: n = 15

Once the child in the sample problem reaches the bottom of the hill, she continues sliding along the flat, snow-covered ground until she comes to a stop. If her acceleration during this time is -.392m/s^2 how long does it take her to travel from the bottom of the hill to her stopping point

Answers

Sample problem is;

A child slides down a steep, snow covered hill with an acceleration of 2.82 m/s². Her initial speed is 0.0 m/s² and her final speed is 15.5 m/s travelling from top to bottom of the hill.

Answer:

t = 39.54 s

Step-by-step explanation:

We are told that her acceleration is now -0.392 m/s²

Thus; a = -0.392 m/s²

From the sample problem, we have;. Initial velocity = 0 m/s

Final velocity = 15.5 m/s

However, in this question, we want to find the time from the bottom of the hill to her stopping point.

This means her initial velocity will now be; u = 15.5 m/s and final velocity since she will come to rest will be v = 0 m/s

To find the time it takes her to travel from the bottom of the hill to her stopping point, we will use Newton's equation of motion and so, we have;

v = u + at

making t the subject, we have;

t = (v - u)/a

t = (0 - 15.5)/(-0.392)

t = 39.54 s

What is the factored form of 8x^3 - 27y^3?

A. (2x + 3y)(4x^2 - 6xy + 9y^2)

B. (2x – 3y)(4x^2 + 9xy + 6y^2)

C. (2x – 3y)(4x^2 + 6xy + 9y^2)

D. (2x + 3y)(4x^2 - 9xy + 6y^2)

Answers

the correct answer is C
I solve it and my answer is C

ANSWER ASAP PLEASE I WILL GIVE BRAINLIEST TO FIRST ANSWER!!!!

Which one would you choose? Explain your reasoning.
1. A 5-pound jug of honey for $15.35
2. Three 1.5-pound jars of honey for $13.05

Answers

Answer:

Three 1.5-pound jars of honey for $13.05

Step-by-step explanation:

15.35/5 = 3.07

3x1.5=4.5

13.05/4.5 = 2.90

F = 9/5C + 32 solve for C

Answers

i'm not sure but this is what i got

c=9/5(f−32)

Which statement best describes the intersection of three planes?

A) The planes could form one or two lines.

B) The planes could form one, two, or three lines.

C) The planes will form two lines.

D) The planes could form one, two, or three lines, or they could intersect at exactly one point.

Answers

Answer:

D

Step-by-step explanation:

from what I could tell, it sounds like D would be correct

Determine whether the given function is even,odd,or neither f(x)=2x^2+x^4

Answers

The given function is even
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