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

For which of the following is x = -5 a solution? Select all that apply.
x + 10 = -5
-x2 + 50 = 25
2x1 = 10
5x<0
2x <10

Answers

Answer:

-x2 + 50 = 25

5x<0

2x <10

Step-by-step explanation:

I hope the answer satisfies you

work out 18/36 - 2/6, give your answer in its simplest form​

Answers

The answer in simplest form would be 1/6

The dimensions of a right rectangular prism are shown below.





How many cubes with side lengths of 1 over 6 inch are needed to fill the prism without gaps or overlaps?

Answers

Answer:

91 cubes

Step-by-step explanation:

518 cubes are needed to fill the right rectangular prism without gaps or overlaps.

What is right rectangular prism?

"It is a prism whose all faces are rectangles."

What is the volume of rectangular prism?

The volume of a rectangular prism with length l, width w and height h is,

V = l × w × h

What is the volume of cube?

The volume of a cube having side length 'a' is given by,

[tex]V=a^3[/tex]

For given example,

The dimensions of a right rectangular prism are:

length : [tex]l=2\frac{1}{6}[/tex]

⇒ [tex]l=2.17[/tex] in.

width: [tex]w=1\frac{1}{6}[/tex]

⇒ [tex]w= 1.17[/tex] in.

height : h = 1 in.

So, the volume of a right rectangular prism would be,

⇒ V = l × w × h

⇒ V = 2.17 × 1.17 × 1

⇒ V = 2.5389 cu. in .

Now, the side lengths of a cube : [tex]a=\frac{1}{6}[/tex]

⇒ [tex]a=0.17[/tex]

So, the volume of a cube would be,

⇒ [tex]V=a^3[/tex]

⇒ V = (0.17)^3

⇒ V = 0.0049

Let, 'n' cubes are needed to fill the right rectangular prism without gaps or overlaps.

volume of a right rectangular prism = n × volume of a cube

⇒ 2.5389 = n × 0.0049

⇒ 2.5389/0.0049 = n

⇒ n = 518.14

⇒ n ≈ 518

Therefore, 518 cubes are needed to fill the right rectangular prism without gaps or overlaps

Learn more about right rectangular prism here:

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HELP ASAP!!!!!!!!!!!!!

Answers

Answer:

a) length of sides remain unchanged

Step-by-step explanation:

The art club is designing a rectangular mural for the school hallway. Three corners are located in a coordinate plane at the following locations: (–1, –1), (–1, 1), and (4, 1).


What is the ordered pair for the fourth corner?

Answers

Answer:

That fourth ordered pair is (4, -1)

Step-by-step explanation:

A rectangle is a set of permutations of x and y

x can either be -1, or 4

y can either be -1, or 1

the only one missing from this set is (4, -1)

Which graph shows an exponential function that nears a constant value as x approaches positive infinity and has a y-intercept at (0,3)?
A. X
B. Y
C. Z
D. W

Answers

Answer:

C. Graph Z is the correct answer

Step-by-step explanation:

It touches 0,3 and the right line is going towards infinite positive x’s

#plato

The exponent function of the graph will be W.  Then the correct option is D.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ + c

Where c is the intercept.

Let the leading coefficient will be 1.

Then the equation will be

y = (b)ˣ + c

The exponent function has a y-intercept at (0, 3).

Then the exponent function is given as,

y = (b)ˣ + 2

Some points regarding exponent function.

The exponent function remains positive for the real value of the x.If the value of x approaches to the negative infinity, then the function tends to zero.If the value of x approaches to the positive infinity, then the function tends to infinity.At x = 0, the function interset the y-axis at (0, 3).

The exponent function of the graph will be W.

Then the correct option is D.

More about the exponent link is given below.

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Determine the amplitude of the following graph.​

Answers

Answer:

amplitude = 3

Step-by-step explanation:

the amplitude is the vertical distance from center of the wave to the crest or the trough

The amplitude of the graph because amplitude is the maximum value of the graph of a function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a trigonometric function shown in the graph:

The amplitude is the maximum value of the graph attend or reaches in the graph.

Amplitude = [5-(-1)]/2 = 6/2 = 3

Thus, the amplitude of the graph because amplitude is the maximum value of the graph of a function.

Learn more about the function here:

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A rectangle garden that measures 6 feet by 8 feet is roped off to form a right triangle

Answers

Answer:

6•8=48

48/2=24 ft

Step-by-step explanation:

The right triangle is half of the rectangle

In the month of January, you were able to sell 1,200 desserts. In February, your dessert sales increased to 1,500. What is the percent changed?

Answers

It either 20 or 25 percent. 25 is the 300 increase of 1200

The percentage change or increase of dessert sales has changed by 25%.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, In the month of January, you were able to sell 1,200 desserts and

In February, your dessert sales increased to 1,500.

So, The net amount increase is (1500 - 1200) = 300.

Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,

= (300/1200)×100%.

= (300/12)%.

= 25%.

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what is the y intercept? f(x)=-2^2+4x-6

Answers

Answer:

The y intercept is -1

Step-by-step explanation:

the y-intercept is when y = 0

f(0) = -2^2 + 4(0) - 5

f(0) = 4 - 5

f(0) = -1

Find the area of the polygon.

Answers

Answer:

35 sq units

Step-by-step explanation:

Evaluate 6h when h =8

Answers

I thin is 16
Because h converts in 8, so you multiply
Hope that helps:)

Which of the following expressions are equivalent to (x+y)-(-z)?
Choice a: (x+y)−z
Choice b: x+(y+z)
Choice c: None of the above

NEED ANSWER NOW

Answers

Should be B because the -(-z) makes the z positive

Exactly how much pizza crust would be left of a 16" pizza if only of the pizza was eaten for dinner?

Answers

The question is incomplete and the value or fraction of the amount of fraction of pizza eaten for dinner isnt Given. Assume the fraction of pizza eaten for dinner = p

Answer:

Kindly check explanation

Step-by-step explanation:

To solve the problem above;

Amount of pizza eaten for dinner = (fraction eaten * total size of pizza)

Amount of pizza eaten for dinner = 16 * p = 16p

Amount of pizza crust left :

(Total size of pizza crust - Amount of pizza eaten for dinner)

Amount of pizza crust left = 16 - 16p

Note that this is just an hypothetical solution because the value represented as p was omitted in the question.

Simply substitute p in the solution with it's exact value to obtain the exact amount of pizza crust left.


Use the table showing the number of visitors to the art museum each month
A. What is the mean of the data?
B. what is the median
of the data?
C. what is the mode of the data?

Answers

Answer:

The answer is C

Step-by-step explanation:

Cause the visitors to the Act got more data

Five quarts of a latex enamel paint will cover about 200 square feet of wall surface. How many quarts are needed to cover 215 square feet of kitchen wall and 65 square feet of bathroom wall?

Answers

Answer:

5.375 quarts

1.625

Step-by-step explanation:

determine amount of quarts of latex per square feet = 5/200 = 0.025

quart for 215 = 0.025 x 215 = 5.375 quarts

quart for 65 = 65 x 0.025= 1.625

La semana pasada Lol hizo en su pastelería 32kg de bollos de distintas clases. Un cuarto de los bollos de los bollos los vendió a 9 € y el resto a 8,50 € el kilo. Cuanto recaudo en total por la venta ?

Answers

Answer:

$276  

Step-by-step explanation:

Given that

Last week Lola made 32kg of different kind of bun

The quarter of the bun sold at $9 per kilo

And, the rest would be sold at $8.5 per kilo

We need to find out the amount that should be collected in total from the sale

A quarter of the 32 buns is 8 buns

And, the half of 32 is 16, and half of 16 is 8.

Now If he sold those 8 buns for $9

So, the total amount is

= (8 buns) ($9)

= $72

Now the remaining buns left is

= 32 - 8

= 24 buns

It would be sold at $8.50

So, the total amount is

= (24) ($8.50)

= $204

Now the final amount is

= $204 + $72

= $276  

Rhombus ABCD has a vertices whose coordinates are A(1,2) B(4,6) C(7,2) D(4,-2) What is the Area of the rhombus

Answers

Answer:

24

Step-by-step explanation:

rhombus area formula= (diagonal×diagonal)÷2

=6×8

=48÷2

=24



(
x

2
)

3
=
1
x

6
=
x
3

x
3
(x
−2
)
−3

=
x
−6

1

=x
3
⋅x
3


Explain why these exponential expressions are equal to each other. Justify your answer.

Answers

Answer:

Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...

Step-by-step explanation:

Not sure how to do this one. Please help asap.

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,,,,

Which rule is correct for translation 2 units right and 6 units down

Answers

Answer:

(x + 2, y - 6)

Step-by-step explanation:

When you go right or up it is in the positive.

When you go left or down it is in the negatives.

Answer:

[see below]

Step-by-step explanation:

Two units to the right is adding 2 together to the x value.

6 units down is subtracting 6 from the y-value.

The rule should be:

[tex](x,y)\rightarrow(x+2,y-6)[/tex]

Hope this helps.

Enter the slope-intercept equation of the line shown below.
5
5
5

Answers

Answer:

y=-4x-4

Step-by-step explanation:

rise/run+ y-intercept

Given f(x)=3x^3+kx-8, and the remainder when f(x) is divided by x-3 is 43, then what is the value of k?

Answers

Answer:

k= - 10

Step-by-step explanation:

43 = - 8 +3(27+k)

3(27+k) = 51

27 + k = 17

k = - 10

Find x. Round the the nearest whole number

Answers

Answer:

Step-by-step explanation:

I think it should be 20 because the line is similar to the 18 line so you can round up to 20.

please please help!!

Answers

it’s A hope you get an A on the test


Which letter represents the point (-4, 1) on the graph above?
A. А
B.B
С. С
D. D

Answers

Step-by-step explanation:

the right answer would be B

Answer:

C

Step-by-step explanation:

The point (-4 , 1) will be located

4 units towards left side of x axis . 1 unit above y axis.

From figure , Point C

no files please!!!!!!!!!!!

Answers

Answer:

(-1/2, 3)

Explaination:

Multiply the second equation by 2, then add the equations together.

(4x-y=-5)

2(-2x+3y=10)

Becomes:

4x-y=-5

-4x+6y=20

Then add the equations to eliminate x.

5y=15

then solve 5y-15 for y. (Divide both sides by 5)

5y/5 = 15/5

y= 3

Okay, now we have found y where going to plug it in an equation to solve for x

Going to chosse equation : 4x-y=-5

Subsitue 3 for y in 4x - y = - 5

4x - 3 = -5

( Add 3 to both sides)

4x - 3 + 3 = - 5 + 3

4x = -2

(Divide both sides by 4 )

4x/4 = -2/4

x= -1/2

A bacteria culture is grown with a population of 15 million cells and kept under observation. The bell population is found to double every hour. How can we use geometric sequences and series to find the total population after six hours? Show all work.

Answers

Answer:

Population after 6 hours is 2.44 *10^12

Step-by-step explanation:

The geometric population growth formula is

[tex]P = P_0 * e^{kt}[/tex]

Substituting the given values in above equation we get

[tex]P = 15 *10^6 * e^{2 * 6}\\P = 15 *10^6 * 162754.791\\P = 2.44 *10^{12}[/tex]

Population after 6 hours is 2.44 *10^12

Solve for x and then find the measure of Angle B

Angle B =

Answers

Answer:

5

Step-by-step explanation:

thanks for the points

Please help out will give brainliest

Answers

Answer:

17

Step-by-step explanation:

The image is not too clear. Let us assume we need the base AB

AB  = opposite

BC = hypotenuse

Sin theta = opp/hyp

Sin 37 = AB/BC

Sin 37 = AB/28

AB = 28sin37

AB = 28(0.6018)

AB = 16.85

AB ≈ 17

Hence the length of AB is 17

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