A motorboat averages 20 miles per hour (mph) in still water. It takes the boat the same amount of time to travel 3 miles with the current as it does to travel 2 miles against the current. What is the current's rate in mph?

Answers

Answer 1

Answer:

4 mph

Step-by-step explanation:

Let :

Boat speed = 20 mph

speed of current = x mph

Distance against current = 2 miles

Distance with current = 3 miles

speed against current will be ; 20 - x

speed with current will be ; 20 + x

Time =distance / speed against time against = time with current

Solving Mathematically ;

2/(20-x )=3/(20 +x)

2(20+x )= 3( 20-x )

40+2x = 60-3x

3x +2x=20

5x=20

x = 20 / 5

x = 4 mph

Speed of current = 4 mph


Related Questions

4+2/5+2/5+1/25 pls help me its for me home work

Answers

The answer in fraction form is in the picture

Answer:

4.84

Step-by-step explanation:

4+2/5+2/5+1/25

what's the volume of a figure with that is 10 inches wide, 3 inches tall, and 5 inches long

Answers

Answer:

10 x 3 x 5 = a

The quantities
x
and
y
are proportional.

Answers

Answer:

The quantities x and y are in a proportional relationship.

Step-by-step explanation:

[tex][Hello,BrainlyUser][/tex]

Your question is incomplete but I will try my best to answer <3

Answer/Step-by-step explanation:

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  y/x = r

[tex][CloudBreeze][/tex]

In the diagram below , if m 66
68
72
78

Answers

132-64= 68
Answer is 68

Answer:

∠ QST = 68°

Step-by-step explanation:

∠ QST + ∠ RSQ = ∠ RST , that is

∠ QST + 64° = 132° ( subtract 64° from both sides )

∠ QST = 68°

Please help thank youu!

Answers

Answer:

the answer would be 11. bc 2 x 3=6 + 5= 11

U have to substitute the y for 3

Answer:Y = -7

Step-by-step explanation:

y=13 is a solution to the inequality y+4<16

Answers

Answer:

No

Step-by-step explanation:

First subtract 16 from both sides

y + 4 < 16y + 4 - 16 < 16 - 16y - 12 < 0                  So 0 has to be greater than whatever is on the leftIf y = 13 is put into the inequality you get 13 - 12 < 0.What is ultimately true is that 1 < 0 Is 1 smaller than 0?No

13 is not a solution to the original inequality.

Tom spends 30% of his monthly budget on rent. His total monthly budget is 3,000 how much does Tom spend on rent?

Answers

Answer:

Total rent= $900

Step-by-step explanation:

Giving the following information:

Total monthly budget= $3,000

Percentage of rent in the budget= 30%

To calculate the monetary value paid in rent, we need to use the following formula:

Total rent= percentage of rent paid*total monthly budget

Total rent= 0.3*3,000

Total rent= $900

My little brother spent $5 on comic books and magazines. He bought 4 items. If comic books
cost $1 and magazines cost $2, how many of each item did my brother buy?
comic books
magazines

No links please!
Thank you

Answers

Answer: He bought 1 magazine and 3 comic books.

Step-by-step explanation: If comic books cost $1 and magazines cost $3, the equation for the problem should look like this: 2(m) + 1(c) = 5, since you know that the brother spent $5 in total. "m" represents the number of magazines purchased while "c" represents the number of comic books purchased. If you plug in 1 for "m" and 3 for "c", the equation would be true and would equal a total of $5. Also, 1 magazine and 3 comic books would mean that the little brother did, in fact, purchase 4 items.

POOPITY SCOOPITY POOP

The $24.75 is the sale price after reducing the original price by 10%.
Calculate the original price

Answers

Answer: $ 27.50

Step-by-step explanation:

We know that $24.75 is (100%-10%) = 90% of the original price.

24.75/90 = 0.275 (to find one percent)

0.275 x 100 = 27.5 (100%, the original price)

$27.50 would be the answer good luck

Please answer fast.

Answers

The answer is D.230

itis true or false plz be fast​

Answers

B And c I think I don’t understand the question you’re trying to ask

Can anyone help me with this please
No links or I’ll report it .
I’ll mark you as a brainliest.

Answers

Answer:

75 sq units

Step-by-step explanation:

A = lw

l = OP = distance between (9, 6) and (0, -6)

          = [tex]\sqrt{(9 - 0)^{2} + (6 + 6)^{2} }[/tex]

         = [tex]\sqrt{81 + 144)} = \sqrt{225} = 15[/tex]

w = MP =  distance between (-4, -3) and (0, -6)

            = [tex]\sqrt{(-4 - 0)^{2} + (-3 + 6)^{2} }[/tex]

            = [tex]\sqrt{16 + 9} = \sqrt{25} = 5[/tex]

A = 15(5) = 75 sq units

Jay went on a diet and lost 5 pounds each month. Find Jay's net weight change in 6 months.

Answers

Answer:

a 30 pound weight change in 1 month

Step-by-step explanation:

5 pounds

--------------- times 6 months  results in a 30 pound weight change in 1 month

 1 month

Can you solve the surface area and the volume for the triangular prism? i need it now please​

Answers

Surface Area = 96in³

To find the surface area of a triangular prism we can use the following equation

[tex]SA = Perimeter * Height[/tex]

The perimeter is the perimeter of one base, and the height is the length of the lines connecting both bases. Now that we know that we can input that into the equation

[tex]SA = (5 + 4 + 3)8\\SA = (12)8\\SA = 96\\[/tex]

Michael completely covered a square wall using 101.5ft2 of wallpaper without any overlap. Which measurement is closest to the side length of this wall in feet?

Answers

Answer:

10[tex]ft^{2}[/tex]

Step-by-step explanation:

Find the square root of 101.5 and round it.

√101.5=10.0747208398

10.0747208398≈10

So, the side length is 10[tex]ft^{2}[/tex].

Answer the question in the picture?

Answers

The answer should be 91.

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

use desmos graphing calculator to help you find the answers

Step-by-step explanation:

x axis=(2,0)

y axis=(0,-4)

y intercept=-4

slope=3/2

Which piecewise function is shown on the graph?

Answers

Answer:

Option A

Step-by-step explanation:

Just substitute each value of x in the graph to find the correct function.

When be graph the functions given, we find that option A is correct.

What is meant by to graph a function?

To graph a function, you have to select x-values and plug them into the equation. Once you plug those values into the equation, you will get a y-value. Your x-values and your y-values make up your coordinates for a single point. Keep plugging in x-values to get coordinates to plot more points on the graph, and then you will see your graphed function once the dots are connected.

Using the graph,


For x < = -2, y = 5.

For -2 < x < 1, the function is a polynomial.

We have two options, either [tex]y = x^{2} -5\ or\ y = x^{2} +5[/tex]

The polynomial must have the point (0,-5) on it.

For [tex]y = x^{2} -5[/tex] , when x = 0, y = -5.

Hence, it is the correct option.

For x >= 1,

Using graph, we see that when y = 0, x lies between 3 and 4.

For equation, [tex]y = 2^{(x-2)} - 2\\[/tex], when y = 0, x = 3, so it is not correct.

For equation, [tex]y = 2^{(x-2)} - 3\\[/tex], when y = 0, x = 3.584, hence it is correct.

Learn more about graphing a function here

https://brainly.com/question/27757761

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PLEASE HELP!!!
!!!!!

Answers

Answer:

y=63, x=20, x=47, b=70, c=89, x=133

Step-by-step explanation:

1) y=63- alternate angles are the same

2) 4x+5x=180

9x=180

x=20

3) x=47

4) b=70- angles on a line equal to 180

c=89- angles in a triangle add up to 180

5) x=133- angles that are alternate are the same

1/4 + 1/6 = 1/6 + 1/4​

Answers

Answer:

This is true

Step-by-step explanation:

The fractions are just switched around.

Sam bought 16 pounds of rice for $7.
How many dollars did he pay per pound of rice?
dollars per pound

Answers

Sam paid $2.29 per pound of rice

Light travels at approximately 2.998 x 10^5 kilometers per second. There are 6.048 x 10^5 seconds in one week. About how many kilometers does light travel in one week?
A 1.813 x 10^5


B 1.813 x 10^10


C 1.813 x 10^11


d 1.813 x 10^25

Answers

1813+ 1011 is your answer

Please help. I literally don't even know what this is!!

Answers

Answer:

try dividing or multiplying the information their giving you?

How many Hostel rooms have 11 or fewer guest

Answers

There are only [tex]3[/tex] hostel rooms with guests who are less than or equal to [tex]11[/tex], as shown by the bar graph, which indicates that the majority of rooms have [tex]11[/tex] and fewer visitors.

What does the word guest really mean?

A visitor to your house or someone you have invited to a gathering, like a party or a dinner: dinner/wedding guests. A guest is another name for an individual who is a hotel guest.

What does the term "hotel guest" mean?

A person who is the legitimate resident of a hotel room and whose address and name are shown in the registration kept by the hotel is referred to as a hotel guest.

To know more about guests visit:

https://brainly.com/question/30136729

#SPJ1

Help me please! I need to get this done to go outside :(​

Answers

Answer:

98ft.

Step-by-step explanation:

Question is asking for the total square feet of laminate wood to cover the entire retail store. Add all the sides together to get your answer.

Jesse sent an email to 4 people for a school project. In her email, she requested that each person copy and send the same email to 4 additional people.If everyone continues to send the email as requested, which equation could be used to determine the number of emails, y, that will be sent for a given round, x?
M. y = x^4
P. y = 4^X
R. y = 4x
S. y = 4/X

Answers

Answer:

The equation could be used to determine the number of emails, y, that will be sent for a given round, x, is:

P. y = 4^X

Step-by-step explanation:

To obtain the equation you must know how many emails will be sent in each case, taking into account that Jesse requested that each person copy and send the same email to 4 additional people, then:

First round: Jesse's emails = 4Second round = 16 = 4*4Third round = 64 = 16*4Fourth round = 256 = 64*4

How you can see, each round is the same that to multiply the last sent emails by four, so, with the equation selected in the answer we can obtain these results:

y = 4^X

In the first round:

y = 4^(1)y = 4

In the second round:

y = 4^(2)y = 16

In the third round:

y = 4^(3)y = 64

And, in the fourth round:

y = 4^(4)y = 256

By this reason, the equation y = 4^X is the correct answer.

It is Marcie's first turn to roll. Which ratio shows the theoretical probability that she will not land on a star space? 1/6 1/3 1/2 2/3

Answers

Answer:

[tex]P(Not\ Star) =\frac{2}{3}[/tex]

Step-by-step explanation:

Given

See attachment

Required

Theoretical probability that a roll will not land on a star

From the attachment, we have:

[tex]n = 12[/tex] --- Total space

[tex]Star = 4[/tex]

So, the theoretical probability that a roll will land on a star is:

[tex]P(Star) = \frac{n(Star)}{n}[/tex]

[tex]P(Star) = \frac{4}{12}[/tex]

[tex]P(Star) = \frac{1}{3}[/tex]

Using the complement rule, the probability that it will not land on a star is:

[tex]P(Not\ Star) = 1 - P(Star)[/tex]

[tex]P(Not\ Star) = 1 - \frac{1}{3}[/tex]

Take LCM

[tex]P(Not\ Star) =\frac{3-1}{3}[/tex]

[tex]P(Not\ Star) =\frac{2}{3}[/tex]

Answer:

Look at the photo below

Step-by-step explanation:

What is the value of X

enter your answer in the

box X=

Answers

Answer:

What is the value of X I would say it is 52

The area of a rectangular field is 7371 m2. If the length of the field is 91 meters, what is its width?

Answers

Answer:

81 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 7371 m²

Length (L) = 91 m

Width (W) =?

Area of a rectangle is given by the following equation:

Area = Length × Width

A = L × W

With the above formula, we can obtain the width of the rectangular field as follow:

Area (A) = 7371 m²

Length (L) = 91 m

Width (W) =?

A = L × W

7371 = 91 × W

Divide both side by 91

W = 7371 / 91

W = 81 m

Thus, width of the rectangular field is 81 m

Pelaseee help me I’m stuck on thisss

Answers

Answer:

[tex]d = \sqrt{122} \: in[/tex]

Step-by-step explanation:

D^2 = x^2 + y^2 + z^2

= (9 in)^2 + (5 in)^2 + (4 in)^2

= 122 in^2

or

[tex]d = \sqrt{122} [/tex]

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