If a boat goes down stream 72 milesind upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are

Answers

Answer 1

Answer:

Speed of boat in still water = 11 miles per hour.

Step-by-step explanation:

Speed = distance / time

or

Distance= Speed * time

Let s be speed of the boat upstream and r be the speed of the river.

Then

Upstream speed=  s- r = 60/6= 10 miles per hour

Downstream speed= s+r= 72/6= 12 miles per hour

Therefore

s-r= 10--------- equation A

s+r= 12--------- equation B

Adding equation A and Eq. b

s-r= 10--------- equation A

s+r= 12--------- equation B    

2s    = 22                            

or

s= 22/2= 11 miles per hour.

Speed of boat in still water = 11 miles per hour.


Related Questions

guyss help plss i need serious answer I'm buriéd with work plss beg :(​

Answers

Answer:

solution given:

B.

CE=2×2=4[base side is double to the line of mid point]

AB=15/2=7.5[b is a mid point]

m<AEC=75°[ corresponding angle]

5.

given:

BD=x+1

CE=x+10

we have

2BD=CE

2(x+1)=x+10

2x+2=x+10

2x-x=10-2

x=8

Marie runs a dog-walking business. She charges a $10.75 base fee for each dog she walks, plus an additional $7.10 per hour that she walks the dog. Each day she spends $5.50 on dog treats. How much money Marie would earn in one day if she worked for 4 12 hours? A. $26.45 B. $31.95 C. $37.20 2. $42.70​

Answers

Answer:

I believe 31 dollars and 95 cents

Step-by-step explanation:

Marie would earn $37.2 in 4 1/2 hour.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Marie charges a $10.75 base fee for each dog she walks,

and, additional $7.10 per hour that she walks the dog.

Each day she spends $5.50 on dog treats.

So, if Marie works for 4 1/2 hour then she can earn

= 10.75 + 4 1/2 x 7.1 - 5.5

= 10.75 + 4.5 x 7.1 - 5.5

= $37.2.

Hence, Marie would earn $37.2.

Learn more about Unitary Method here:

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what is the solution to the problem
x + 8.63 = 11.001

Answers

Answer:

x=2.371

Step-by-step explanation:

Subtract 8.63 from both sides

x+8.63-8.63=11.001-8.63

x=11.001-8.63

x=2.371

Cancel out the 8.63 by subtracting it from both side of the equal sign... so you will be left with x= 2.371 which will be your answer

a) Work out the value of angle x.
X
X=
b) Give reasons for your answer.​

Answers

Answer:

x = 60° (Alternate angles)

Step-by-step explanation:

a) x = 60°

b) Reason: Alternate angles

Answer:x=60

Step-by-step explanation: all angles in a triangle add up to 180 degrees, x is the same as the angle next to it, therefore x=60 degrees

Using the net below, find the surface area
of the pyramid.
4cm
2 cm
12 cm
Surface Area
=
[?] cm2
Enter

Answers

Answer:

everything is in the picture

which of the following equations has no solutions? ​

Answers

Answer:

all if you don't answer them

The two legs of a right triangle measure 7 inches and 5 inches. Find the measure of the acute angle that is included between the longer leg and the hypotenuse. WILL GIVE BRAINIEST TO FIRST RIGHT ANSWER

Answers

Answer:

44.4 degrees

Step-by-step explanation:

Given the following

Hypotenuse = 7

Longer leg = 5 (adjacent])

Let the acute angle angle between both sides be x

According to SOH CAH TOA

Cos theta = adj/hyp

Cos x = 5/7

x= arccos (5/7)

x = arccos (0.7143)

x = 44.4degrees

Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees

if (1x2y6z) is a number divisible by 9 , then what os the least value of x+ y+z ?

Answers

Given:  

Number 1X2Y6Z is divisible by 9.

To find:  

The least value of  X+Y+Z = ?

Solution:  

First of all, let us learn the divisibility rule of 9.  

A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.

For example:

Let us consider a number 923463.  

The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27  

27 is divisible by 9 so the number 923463 will also be divisible by 9.

Let us consider another example 8972.  

Sum of digits = 26  

26 is not divisible by 9 so the number 8972 will also be not divisible by 9.

Now, we are given the number 1X2Y6Z.  

Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z

The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.  

The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9  

which will make the number 1X2Y6Z divisible by 9.

So, the answer is:

Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.

9514 1404 393

Answer:

  0

Step-by-step explanation:

For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.

The least value of x+y+z is 0.

_____

102060/9 = 11340

what is 5^2 simplified

Answers

Answer:

25

Step-by-step explanation:

us
Find the point-slope equation for
the line that passes through the
points (-6, 24) and (5, -31). Use
the first point in your equation.

Answers

Answer:

first box is 24

second is -5

third is -6

Step-by-step explanation:

Maria needs to be at the airport terminal at 12:10. it will take 2 and 1/2 hours to drive to the airport from her home, and a further 20 minutes to park and get to terminal. give your answer as a time in the 24 hour clock​

Answers

Answer:

Maria needs to start at 9:20 in order to make it to the terminal.

Step-by-step explanation:

2:30 + 0:20 = 2:50. 12:10 - 2:50 = 9:20.

does this function equal 4 on the interval [4, 5]?

[tex] \frac{10 \cos(xπ) }{x-2} [/tex]

Answers

=- No way

Step-by-step explanation:

Which exponential expression is equivalent to the one below? (6x3)^5
25 POINTS!!!!!!

Answers

Answer:

D) 6^5 · 3^5

Step-by-step explanation:

(6 · 3)^5 = 1889568

A) WRONG

(5 · (6 · 3)) = 90

B) WRONG

9^5 = 59049

C) WRONG

6 · 3^5 = 1458

D) CORRECT

6^5 · 3^5 = 1889568

Find the surface area of the cone. Use 3.14 for π.

Answers

Answer:

S.A. = 138.16

Step-by-step explanation:

S.A. = πrl+πr²

3.14 x 4 = 12.56

12.56 x 7 =87.92

3.14 x 4 = 12.56

12.56 x 4 = 50.24

87.92 + 50.24 = 138.16

Let me know if this helps!

Triangle STU is rotated 270 clockwise about the origin to create triangle S'T'U'. If point U of triangle STU is a (a,b), which algebraic representation best describes point U' of triangle S'T'U'?

Answers

Answer:

(b, -a)

Step-by-step explanation:

First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)

Note that the coordinates were swapped and the x coordinates negated. Similarly;

Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will  be (b, -a)

[tex]4(3-5x)=15-(8x-25)[/tex]

Answers

Solving by x the answers are

Exact form: x= -7/3 _
Decimal form: x= -2.3
Mixed number form: -2 1/3

Find the volume of a cylinder with a diameter of 14mm and a height of 3.4mm Round to the nearest tenth.

Answers

Answer:

V≈5.23×10-7m³

Step-by-step explanation:

V=π(d

2)2h=π·(0.014

2)2·3.4×10-3≈5.23389×10-7m³

Answer: 523.1 mm^2

You first want to find the radius for the volume of cylinder formula. You first do 14 divided by 2 to get the radius. You should get 7. Then after you find the radius you then put it into the formula which is v=3.14 x radius^2 x height. The equation with all the numbers from the problem is 3.14 x 7^2 x 3.4. After you put the equation into your calculator you should get 523.1 mm^2.

Sarah used 3.25 meters of fabric to make a costume. How many centimeters of fabric did she use?

Answers

Answer:

325 centimeters

Step-by-step explanation:

Q1 - What is the area of a circle with a diameter of 6.2 inches?


Q2 - A round table has a radius of 15in a round tablecloth hangs 2in over the edge of the entire table.what is the area of the tablecloth

Answers

Answer:

Q1; 124.72

Sorry I don’t understand the second one

Step-by-step explanation:

What is the equation that you get when you put together the two
equations below?

Answers

Answer:

1st option

Step-by-step explanation:

Given the 2 equations

2x + 5y = 19 → (1)

y = 3x - 3 → (2)

Substitute y = 3x - 3 into (1)

2x + 5(3x - 3) = 19


Which expressions are equivalent to 4/7x + 4?

A. 1 + 3/7x +3
B. 5/7x - 1/7x + 4
C. 3/7x + 4 1/7x
D. 1 + 4/7x + 3
E. 1 + x/7 + 3
F. 3/7x + 4 4/7x - 1

Answers

Answer:

4+28x

_____

7x

i think...

I just wanna make sure i’m doing this right

Answers

I believe the answer is 175% but still check with a other person for verification

Answer:

175%

Step-by-step explanation:

The first one is a whole=1

the second one is cut in four but only 3 are shaded so 1/4=0.25    0.25*3=0.75

3/4/0.75 is shaded

so 1+0.75=1.75

1.75=175%

Put in order from least to greatest


5.670
56.72
56.27

Answers

Answer:

5.670, 56.27,5.72.

Step-by-step explanation:

All you do is pay attention to that decimal and remember that the places where the numbers are present; they are invisible zero so,

56.72 is the same as 56.720000.

It's pretty clear for this question since the numbers are clear so all you do is look at the decimals.

Topher has of a whole pizza. How many 's of a whole pizza are there in of a whole pizza?

Answers

Answer:

huh

Step-by-step explanation:

HELP!! I have been stuck on these questions forever! Im having to multiply or devide in scientific notation. Im having to find the sum or difference. I will mark brainiest.

Answers

these are extremely easy, let me tell you how to do them. You always have to do the question in the parentheses first, so for number 17 it would be 7 times the 10 power 7. When I say power, it’s the little number at the top of the whole number. You have to do 10 times 10 times 10 times 10 times 10 times 10 times 10. Then you get 10 million (10,000,000) now you do 10 million times 5, which is 5 million. So number 17 is 5 million. Now you can do the rest of them the same. When you have decimals, make sure to line them up. Good luck! Feel free to ask me any questions.

The line of which equation passes through points (0,6) and (4,-1)

Answers

Answer:

y=-7/4x+6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-6)/(4-0)

m=-7/4

y-y1=m(x-x1)

y-6=-7/4(x-0)

y-6=-7/4(x)

y-6=-7/4x

y=-7/4x+6

What are the values of x and y if you answer is not a whole number write it as a decimal and round if neccasasry

Answers

a) 3x + 5y =  26  

b) 2x + 2y = 12

First, we need to find a way to equate either the x terms or the y terms in each equation. a)  6x + 10y = 52

                          b) 6x + 6y = 36

Then take equation b) from the equation a) to eliminate the x component.

a) 6x + 10y = 52

- b) 6x + 6y = 36

   0x    + 4y = 16

            y = 4 ?

Then substitute the value of y into either equation to find the value of x.

b) 2x + 2y = 12

   2x + (2x4) =12

   2x + 8 = 12

   2x = 4

   x = 2

I hope this new information i read helps you maybe understand it and as an example!

write an expression for the number of days in y hours.

Answers

Answer:

The number of days in y hours is y/24

Step-by-step explanation:

Here, we want to write an expression

Mathematically;

1 day = 24 hours

? days = y hours

? days = (y * 1)/24

? days = y/24

Find the value of x.
Please help me

Answers

the answer is x = 45

Smart people of Brainly who know math

Plot function G on the graph

(Picture provided)

Answers

Answer:

Down below

Step-by-step explanation:

The graph is attached to the answer.

What is function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given is a function,

g(x) = -3, -8≤x-2

          1, -2≤x≤4

          5, 4≤x≤10

The function g(x) is a discrete function. It is continuous between -8 to -2, -2 to 4, and 4 to 10.

And the open circle at -8, -2, 4, and 10.

More about the function; click,

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