Johnny and his father go fishing at 5:00 AM. After motoring 6 km upstream, Johnny writes a letter to his friend, puts the letter in a bottle and drops it into the river. the bottle floats in the current and reaches at 7 : 40 AM the point where Johnny and his father began the trip. If the speed of the boat in still water is 9 km/h, what is the speed of the river current?

Answers

Answer 1

Answer:

4.5

Step-by-step explanation:

Probably too late for your RSM homework, but here is the solution:

6/(9-x) [Time they motored upstream] +6/x [Time it took the bottle to get back to the starting point] = 8/3 [Total Time]

Simplify to 54/(x(9-x))=8/3

Cross multiply: 162=(8x)(9-x)

Simplify -x^2+9x=20.25

Multiply both sides by negative one and move 20.25 to the other side. x^2-9x+20.25=0

Solve and get 4.5 :D!


Related Questions

2
3250 m + 1,662 km =

Answers

Answer:

1,665.25 km

Step-by-step explanation:

Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class: 0−<5 5−<10 10−<15 15−<20 20−<30 30−<40 40−<60 60−<90 Rel freq: 0.176 0.169 0.179 0.139 0.193 0.075 0.040 0.029
A) What proportion of the sampled angles are at least 30°? (Round your answer to three decimal places.)
B) Roughly what proportion of angles are between 10° and 25°? (Round your answer to three decimal places.)
C) Construct a histogram. Comment on any interesting features. Select all that apply
1. There are two obvious outliers.
2. Without more precise information, we cannot tell if the data contain outliers.
3. The distribution of misorientation angles is approximately symmetric.
4. The distribution of misorientation angles is heavily negatively skewed.
5. The distribution of misorientation angles is heavily positively skewed.
6. The distribution of misorientation angles is bimodal.

Answers

Answer:

Step-by-step explanation:

From the information given:

Classes        Relative Frequency

0 - < 5            0.176

5 - < 10           0.169

10 - < 15         0.179

15 - < 20        0.139

20 - < 30       0.193

30 - < 40       0.075

40 - < 60       0.040

60 - < 90       0.029

                          1

(a)

So from above; the proportion of samples that are at least 30° can be computed as:

P(at least 30°) = (0.075 + 0.040 + 0.029)

P(at least 30°) = 0.144

(b)

The proportion of angles between 10° and 25°  = (0.179 + 0.139 + 0.193)

= 0.511

(c) The histogram is constructed by using the EXCEL. The step in making the histogram include;

Insert the class and relative frequency as a data set in the excel sheetSelect relative frequencychoose insertselect chartchose 2-D column(make sure you choose the first option)select bars and tap format series, then adjust the gaps.

From the histogram, the chart doesn't show an outlier. The relative frequency is not also symmetrically distributed relating to the class due to the fact that the histogram does not possess a bell shape curve. Finally, we cannot determine if the distribution is positively skewed or negatively skewed because the distribution is bimodal.

6. The distribution of misorientation angles is bimodal.

Un edificio de 10.5 metros de altura proyecta una sombra 17 metros en un momento dado. ¿Qué ángulo a forma el
sol con el horizonte en ese momento?

Answers

Answer:

NOSE BRO TU DIME KSUSHSDVFNF SJAJAJAJAJAJAJAJAJAJAJAJAJAJAJAAJAJJXXJXKDKDKXJXJXHDDD

What is the equation given a slope of 5 and a y-Intercept of 127

Answers

Answer:

y=5x+127

Step-by-step explanation:

Equations of straight lines are in the form : y = mx + c

m is the slope of the line and c is the y-intercept (where the graph crosses the y-axis)

m=5

x=127

y=5x+127

Which of the binomials below is a factor of this trinomial? 6X squared minus 7X -5

Answers

Answer:

C. 2x + 1

Step-by-step explanation:

Factorize 6x² - 7x - 5

6x² + 3x - 10x - 5

3x(2x + 1) - 5(2x + 1)

(3x - 5)(2x + 1)

Therefore, 2x + 1 is a binomial factor of 6x² - 7x - 5.

Express the function h(x)= 1/x-6 in the form of f o g. If g(x)=(x-6), find the function f(x).

Answers

Answer:

f(x) = 1/x

Step-by-step explanation:

h(x) = f(g(x)) = f(x-6) = 1/x-6

1/x-6 could only be accomplished if f(x) = 1/x

Assuming f(x) = 1/x and g(x) = x-6, f(g(x)) = f(x-6) = 1/x-6

Since f(g(x)) = 1/x-6 = h(x), we've proven that f(x) = 1/x.

The given functions are illustrations of a composite function, where the function f(x) is:

[tex]f(x) = \frac{1}{x}[/tex]

Given that:

[tex]h(x) = \frac{1}{x - 6}[/tex]

[tex]g(x) = x - 6[/tex]

f o g can be written as f(g(x))

So, we have:

[tex]h(x) = f(g(x))[/tex]

Rewrite as:

[tex]f(g(x)) = \frac{1 }{x - 6}[/tex]

Substitute g(x) for x - 6

[tex]f(g(x)) = \frac{1 }{g(x)}[/tex]

Replace g(x) with x

[tex]f(x) = \frac{1}{x}[/tex]

Hence, the function f(x) is: [tex]f(x) = \frac{1}{x}[/tex]

Read more about composite functions at:

https://brainly.com/question/8776301

it will take 1.25 years to earn p 1250.00 from a savings of P10.000 at 10% interest

Answers

Answer:

are you telling answer?

Select ALL the statements that are true.

a
The radius of a circle is two times larger than the diameter.
b
The diameter of a circle is two times larger than the radius.
c
The diameter is half the radius of a circle.
d
The radius is half the diameter of a circle.

Answers

Answer:

a b d are true statement ..............

You recently saw a news article that included this graph and had the title “A Nation of Procrastinators”. What evidence from the graph supports this title?

Answers

Answer: The graph shows that people procrastinate by doing their taxes mostly in April then in the beginning of the year in January

Step-by-step explanation: think about it the name in the title has procrastinated in it which means holding off for a certain amount of time, then look at the graph most the people held off until April, why must you ask? Because the taxes are higher in the beginning of the year

T/F Inverse Equation. Brainliest for correct answer! Please only answer if you understand!

Answers

I think it is true but not for sure

Answer:

F

Step-by-step explanation:

Solve: 10 13/15 - 6 2/5 = *

Answers

Answer:4.46666666667

your welcome

Answer:

4 7/15

Step-by-step explanation:

GIVING BRAINLIEST!!!

A Rectangular Prism Has a width of 4 inches, a height of 6 inches and a total volume of 192 cubic inches. What is the length of the rectangular prism

A. 6 Inches
B. 8 Inches
C. 12 Inches
D. 15 inches

Answers

Answer: B

Step-by-step explanation:

S
The sum of two numbers is 90. The larger
number is 14 more than 3 times the smaller
number. Find the numbers.
First complete the equations below. where x stands for
the larger number and y stands for the smaller numben
x+y = [?]; x =[]+[ ]y
Enter

Answers

Answer:

x=71 and y=19

Step-by-step explanation:

First, we write out the first sentence as an equation. This is x+y=90. We also know that x=3y+14 because of the second sentence. Using this, we can substitute x in the first equation with what it is (3y+14). This makes the new equation 3y+14+y=90. Then, we collect like terms by adding the 'y's together - making 4y+14=90. We need to make the letters on one side and the numbers on the other. To do this, we subtract 14 from each side, making 4y=76. We want to find out what 'y' is by itself (not multiplied by four) so we divide each side by 4. This means that we have found out that y=19 because 76÷4=19. Now, it is time to solve x. Using our new knowledge that y=19, we can replace y in the equation x+y=90 with 19 so now we have x+19=90. This is the same as 90-19=x and we know that 90-19=71, so x must be 71. In conclusion, x=71 and y=19.

I hope this helps, have a great day!

plss help me i need ur guys help and if u dont i fail plsssss help im begging u

Answers

Answer: 37 hours.

Step-by-step explanation:

All you really have to do is divide 259 by 7.

Answer:

37 hours

Step-by-step explanation:

You would need to divide 259 by 7 creating your sum.

-y^2 =25y+6y^3
find y





Answers

There are 3 y’all in the equation

Answer:

y=0

Step-by-step explanation:

Hope this helps you.

Verify that parallelogram ABCD with vertices A(-5, -1), B(-9, 6), C(-1, 5), and D(3, is a rhombus by showing that it is a parallelogram with perpendicular diagonals.​

Answers

multiplication of the gradients of the two diagonals is equals to -1 if they are perpendicular

18 lollipop at the same number of lollipops on the nine tables how many levels did she pop on each table​

Answers

Answer:

2

Step-by-step explanation:

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

Can the sides of a triangle have lengths 2,4, and 10? Yes or no

Answers

Answer:

no

Step-by-step explanation:

the length of the smaller sides have to add up to the length of the largest side

joe’s batting average is between 0.315 and 0.32. Which of the following could be Joe’s average

Answers

Answer:

0.3175

Step-by-step explanation:

(0.315 + 0.32) / 2 = 0.3175

The average of Joe is 0.3175.

Calculation of an average:

Since joe’s batting average is between 0.315 and 0.32

So here the average should be like

[tex]= (0.315 + 0.32)\div 2[/tex]

= 0.3175

Therefore, we can conclude that The average of Joe is 0.3175.

Learn more about an average here; https://brainly.com/question/13455383

I WILL GIVE BRAILIEST IF ANSWER IS CORRECT! The sum of all the solutions to the equation (6x+k)(3x-11)=0 is 1. Find K. Please help me I don't understand what this problem means.

Answers

Answer:

k=-6x

Step-by-step explanation:

You are looking for the value of k.

Either (6x+k)=0, or (3x-11)=0 because of the Zero Product Property

We are looking for k, so we must make (6x+k)=0

Simply cancel 6x out by subtracting 6x.

6x-6x=0.

34 and -8xY
Great common factor

Answers

Answer:

2

Step-by-step explanation:

Restaurants often slip takeout menus under Rosa's apartment
door. So far, Rosa has collected 15 menus, including 5 for
Indian food. Considering this data, how many of the next 18
menus slipped under Rosa's door should you expect to be
from Indian restaurants?

Answers

Answer:

6.

Step-by-step explanation:

Since restaurants often slip takeout menus under Rosa's apartment door, and so far, Rosa has collected 15 menus, including 5 for Indian food, to determine, considering this data, how many of the next 18 menus slipped under Rosa's door should be expected to be from Indian restaurants the following calculation and logical reasoning must be performed:

5/15 = 0.333333

Thus, 1/3 of the restaurant ads correspond to Indian restaurants. Therefore, since 18 x 1/3 equals 6, the number of Indian restaurant menus that could be expected to be slid under Rosa's door is 6.

Decrease 1428g by 38.5%​

Answers

Answer:

1428 (1-0.385) = 878.22

Step-by-step explanation:

you can perform 10 push ups in 25 seconds. write an equation that represents the relationship between time x and the number of pushups y.

Answers

The number of push-ups will be zero for zero seconds. Then the equation will be y = 0.4x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You can perform 10 push-ups in 25 seconds.

Then the equation represents the relationship between time x and the number of pushups y will be

The number of push-ups will be zero for zero seconds.

Then we have

y - 0 = [10/25] (x - 0)

    y = 0.4x

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Help and the question changes when its wrong

Answers

your answer is : 4x + 2h + 7

1.5 x 2.5
Or 0.9 x 27

Answers

Answer:

what was the question I dont get it pls

Step-by-step explanation:

u can tell me

3.75 for the first one you can ask Siri or a calculator is easier and the next one is 24.3

Which graph represents the function?

f(x)=x+2‾‾‾‾‾√3

Answers

Answer:

the correct answer is the last one to the right side

Answer:

Equation :

f(x) = ³√x+2

The fourth option.

See image.

I hope the image helps.

John has 6 pairs of pants and 3 shirts. How many possible outfits consisting of one shirt and
one pair of pants can he select?

Answers

Answer:

18

Step-by-step explanation:

3 shirts for each pants

I think it’s 18 :) so yeah

(10x 18) + (10xs) = how to solve

Answers

Answer:

i dont know dude

Step-by-step explanation:

quizziz help please thx please thx

Answers

The yellow answer is correct
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