A boat travels 8 miles upstream in the same amount of time it can travel 12 miles downstream. In still water the speed of the boat is 5 mi/h. What is the speed of the current?

Answers

Answer 1

Answer:

1 mi/hr

Step-by-step explanation:

Given that:

Speed in still water, s = 5 mi/hr

Let speed of current = x

Time = distance /speed

Upstream (subtract speed of current) = 5 - x

Upstream time = 8 / 5 - x - - - (1)

Downstream (add speed of current) = 5 + x

Downstream time = 12 / 5 + x - - - (2)

Equate (1) and (2)

8 / (5 - x) = 12/ (5 + x)

8(5 + x) = 12(5-x)

40 + 8x = 60 - 12x

40 - 60 = - 12x - 8x

-20 = - 20x

x = 1

Spwed of current = 1 mi/hr


Related Questions

On a school trip 1/5 of teachers classes will be going if there are 105 students in all his classes how many students will be on the trip please help

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Answer:

The answer is 21 ,

Which graph represents a function?

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Answer: The first one

Step-by-step explanation:

3 yd
4 yd
What is the length of the hypotenuse?
yards

Answers

Step-by-step explanation:

a² + b² = c²

4² + 3² = 25²

Square root of 25 = 5

C = 5 yards

Which statement about rational numbers is false?
O A. They can be written as terminating decimals.
B. They can be written as ratios of two integers.
O C. They can be written as fractions whose equivalen decimals repeat.
O
D. They can be written as fractions with a denominator of 0.

Answers

I believe it’s D because any fraction with 0 in the denominator is undefined

Help someone pls ASAP

Answers

Answer:

G

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Ez

You buy a day pass to use the subway for $5. After buying the pass, you pay $2 per ride. Write an equation to describe how much money, y, you pay to ride x number of rides.

Answers

Hi there!

So here says that when I buy a day pass using the subway I pay $5 and $2 per ride.

This means that it’ll be $7 per ride.

y=7

x=1

So for every 1 ride on the subway, I have to spend $7.

ꜱᴇᴇᴍꜱ ᴇᴀꜱʏ ᴊᴜꜱᴛ ᴄᴀɴ’ᴛ ꜰɪɢᴜʀᴇ ɪᴛ ᴏᴜᴛ

Answers

Answer:

123°

Step-by-step explanation:

2z +9 = x

y = z

2Z +9 + X + z +Y = 360

Substitute for Z

2Z +9 + 2z +9 + z + z = 360

6z +18 = 360

6Z = 342

Z = 57

2(57) +9 = 123

X = 123

Answer:

The person above should be right

Step-by-step explanation:

Have a good day

What is the coefficient of z in the expression 5xy + 10xyz+3?

Answers

Answer:

10. is. the. coefficient. of. z

Out of A class of sixth graders, 30% join the band. If there are 186 graders in total, how many are in band?

Answers

Answer:

55 (approx.)

Step-by-step explanation:

30% of 186 students joined the band

(30/100) × 186

5580/100

55.8

= 55 students (approx.)

(the answer will come approximate as final is in decimal)

Give a non-example of coefficient in math. Hurry please I have school tomorrow!!!

Answers

I don’t understand what you mean by “non-example” but a coefficient is the number before the variable. “67x” the coefficient would be 67.

The numbers of attendees at the carnival over the last 15 days are 50, 200, 175, 125, 75, 100, 150, 225, 250, 100, 125, 75, 25, 225, and 175. Identify the box-and-whisker plot for the data.

Answers

Could you show the picture that goes with it? 225

The box-and-whisker plot for given data is as shown below.

What is box and whisker plot?"It is a special type of diagram showing Quartiles 1, 2 and 3 in a box, with lines extending to the lowest and highest values.""It is way to show the spread and centers of a data set."What is median?

"It is the middle value of a sorted list of numbers."

For given question,

We have been given a data that represents the numbers of attendees at the carnival over the last 15 days are 50, 200, 175, 125, 75, 100, 150, 225, 250, 100, 125, 75, 25, 225, and 175.

If we arrange the data in ascending order then it would be,

25, 50, 75, 75, 100, 100, 125, 125, 150, 175, 175, 200, 225, 225, 250

The minimum value = 25

And the maximum value = 250

Also, the middle value is 125.

So, the median is 125.

The box-and-whisker plot for given data is as shown below.

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The vector (-3/5) translates a to b What is the vector that translate b to a?

Answers

3/5 in the positive form

The required vector that is translated from b to a is +3/5.

Given that,
We have a vector that translated from a to b,  is -3/5, it is to be determined the vector from b to a.

What is a vector?

The term "vector" is used to describe quantities that have both magnitude and direction. It also refers to the nature of the quantity.

Here,
We have a vector,
[tex]\bar ab = -3/5[/tex]
In order to translate the vector in the reverse direction, its direction will be reversed,
For
[tex]\bar {ba} = - (-3/5)\\\bar {ba} = +3 / 5[/tex]

Thus, the required vector that is translated from b to a is +3/5.

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Use the symmetric property of congruence to complete the following statement if

Answers

Answer:

what?

Step-by-step explanation:

Answer:

Answer

5.0/5

11

Answer: Choice D.  < B = < A

ie, "angle B = angle A"

The symmetric property is if y = x then x = y. The order of what is on the left or right side of the equation does not matter. It's like saying 2+3 = 5 is the same as 5 = 2+3.

This idea can be extended to congruences because congruent angles have the same measure.

So < A = < B is the same as < B = < A.

Step-by-step explanation:

Help with this please. :)

Answers

Answer:

1) 48

2) 1

3) 2

4) 16

Step-by-step explanation:

.............

what is the result of adding 6/100 and 1/10? use forms of a/b​

Answers

Step-by-step explanation:

1/10 is equivalent to saying 10/100.

Adding these together would look like:

10/100 + 6/100 = 16/100 (cannot be simplified)

a/b = 16/100

The length of a rectangle is 16 units more than its width. The area of the rectangle can be expressed as
x^4 – 64.
Which expression represents the width of the rectangle?

Answers

Hiiii your answer is (x2+8)(x2-8)

The width of the rectangle represented by the expression (x⁴ – 64)/x.

What is rectangular shape?

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

The length of a rectangle is 16 units more than its width.

Let the length is x units.

Then width = (x + 16) units.

The area of the rectangle can be expressed as

x⁴ – 64 = length x width

x⁴ – 64 = x (x + 16)

x + 16 =(x⁴ – 64)/x

Therefore, the width expression is (x⁴ – 64)/x.

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2) The function f(x) is defined below. The value of f(-3) is:
f (x) = 4x + 5

Answers

Answer:

so it is 4×(-3)+5 = -12+5= 7

so the answer is 7 I think

Answer: look at the two pictures if you want me to solve for f or x here

Step-by-step explanation: hope this help :)

Miranda graphed (y + 1)2 > 6(x - 2).
Which could Miranda use to justify that her graph is correct? Check all that apply.
Because only the y quantity is squared, the curve is a parabola.
The parabola opens right because 6 is in front of the x-quantity.
There is a strict inequality so the boundary is included in the solution set.
The shading is outside the parabola because (0,0) satisfies the inequality.
The values subtracted from x and y in the equation are the coordinates of the vertex which
O O O O

Answers

Answer:

The correct options that describe the inequality (y + 1)² > 6·(x - 2)

1) Because only the 'y' quantity is squared the curve is a parabola

2) The parabola opens right because 6 is in front of the 'x' quantity

3) The shading area is outside the parabola because (0, 0) satisfies the inequality

4) The values subtracted from 'x', and 'y' in the equation are the coordinates of the vertex

Step-by-step explanation:

The given inequality graphed by Miranda is presented as follows;

(y + 1)² > 6·(x - 2)

By simplification, we get;

Given that the inequality is of the form (y - k)² > 4·p·(x - h), we have;

The curve is a parabola as only the 'y' quantity is squared

-k = 1

∴ k = -1

4·p = 6

∴ p = 6/4 = 3/2 = 1.5

p = 1.5

-h = -2

∴ h = 2

The vertex of the parabola = (h, k) = (2, -1)

The axis of symmetry = The x-axis

p = 1.5 > 0, therefore, the parabola opens right

Therefore, the parabola opens right because 6 is in front of the 'x' quantity

There is a strict inequality therefore the boundary is not included in the solution set

When x = 0 and y = 0, we have;

(y + 1)² > 6·(x - 2)

(0 + 1)² > 6·(0 - 2)

1² > 6 × (-2)

1 > -12, which satisfies the inequality and (0, 0) is on the left and below the vertex, therefore, the shaded area is outside the parabola

The vertex of the parabola given in the form, (y - k)² > 4·p·(x - h), is (h, k), which are the values subtracted from 'x', and 'y' in the equation

Therefore, the vertex of the given parabola, (y + 1)² > 6·(x - 2) = (2, -1)

Answer:

A, B, D, and E

Step-by-step explanation:

right on edge 2022 :)

which of the following graphs represents y=x-2

Answers

Answer:

graph 2

Step-by-step explanation:

Convert the measurement. Round to the nearest hundredth.


12 feet = meters

Answers

Answer:

3.7 metres

Step-by-step explanation:

1 foot = 0.305 metre

12 foot = 12 × 0.305

= 3.6576

Rounding the answer to nearest hundredth

3.6576 = 3.7000

= 3.7 metres

3.7 meters hope this helps

The expression 12.5x can be used to determine the total amount of wages earned after working x
hours at a rate of $12.50 per hour. What is the total amount of wages earned by someone who
works 40 hours?

Answers

Answer:

500 dollars earned

Step-by-step explanation:

if 12.5x is the amount per hour they earn then multiply that by the amount of hours they work

PLEASEEE HELP EASY QUESTION I THINK 15 points!

Answers

Answer:

Step-by-step explanation:

-3(-3y+1)-3y=-15

9y-3-3y=-15

6y=-12

y=-2

x=-3(-2)+1

x=7

How much would it have rained each month if the total amount rain (11 inches) was redistributed equally among the 12 moths of the year?

Answers

Answer:

Total rainfall in one month [tex]0.9167[/tex] inches

Step-by-step explanation:

The total rainfall around an year is equal to  [tex]11[/tex] inches

There are 12 months in an year.

Total rainfall in one month is equal to total rainfall in an year divided by number of months

Total rainfall in one month

[tex]\frac{11}{12} = 0.9167[/tex] inches

Shop keeper buys a television from a manufacture the shopkeeper sells the television for $ 2700 at a profit 20% how much money did the shop keeper pay the manufacture for the television

Answers

Answer:

$3,240

Step-by-step explanation:

The computation of the money that have to be paid by the shopkeeper to the manufacture is shown below:

Given that

the sale price of television is $2,700

And, the profit is of 20%

So, the price paid is

= $2,700 + $2,700 × 20%

= $2,700 + $540

= $3,240

Based on the information provided, what type of quadrilateral is this?

Answers

Answer:

Step-by-step explanation same I need this answer too what did you get

Answer:

hi baby how are you please com in zom

Step-by-step explanation:

3566267840 and pas 123456 u are bf

Please help if you understand table of products and standard forms!

Answers

Answer:

x -2

4x 4x² -8x

2 2x -4

=> = 4x² - 6x - 4

You deposit $2500 in an account that earns 2.5% annual interest. Find the balance after one year if the interest is compounded quarterly?

Answers

Answer:

$2563.09

General Formulas and Concepts:

Math

Percents

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

A is final amountP is principle amountr is raten is compounded ratet is time

Step-by-step explanation:

Step 1: Define

P = 2500

r = 0.025

n = 4

t = 1

Step 2: Find A

Substitute in variables [Compounded Interest Rate]:                                  [tex]\displaystyle A = 2500(1 + \frac{0.025}{4})^{4(1)}[/tex](Parenthesis) Add:                                                                                          [tex]\displaystyle A = 2500(1.00625)^{4(1)}[/tex][Exponents] Multiply:                                                                                      [tex]\displaystyle A = 2500(1.00625)^{4}[/tex]Evaluate exponents:                                                                                       [tex]\displaystyle A = 2500(1.02524)[/tex]Multiply:                                                                                                           [tex]\displaystyle A = 2563.09[/tex]

Find the zeros of y=x2 - 4x-9 by completing the square.
A X=3/13
B. x=13
C. x=-21-13
D. x=213

Answers

Answer: B

Step-by-step explanation:

Colin invests £2900 into his bank account,
He receives 3% per year compound interest.
How much will Colin have after 4 years?
Give your answer to the nearest penny where appropriate.

Answers

The answer is 1353244penies

Answer:

348 pounds

Step-by-step explanation:

Simple Interest = principal x rate x time

so, principal = 2900 x rate = 3/100 x time = 4 years

therefore, 2900 x 0.03 x 4 = 348 pounds

If the school has 27 students, there are how many sixth graders?

Answers

where is the rest of the question? if divided into 6th,7th,and 8th then 9

i dont  know let me know the full question to help you out

The number of students that are sixth graders is 9.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A school has 27 students, and one-third of them are sixth graders.

Therefore, The number of students that are sixth graders is,

= (1/3)×27.

= 9 students.

Q. If the school has 27 students and one-third of them are sixth graders, there are how many sixth graders?

learn more about fractions here :

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