two ferries start moving toward each other from opposite riverbanks, a and b. when they pass each other for the first time, the distance to riverbank b is 100 meters. each ferry starts its return trip as soon as it reaches its destination. when the ferries meet for the second time, the distance to riverbank A is 50 meters. what is the distance between riverbanks a and b? Help I will give 40 points

Answers

Answer 1

Let 'x' be the distance from THE far bank   where 700 is the distance to the NEAR bank

boat one has travelled 700    (rate = 700/unit time)         boat two has travelled   x    rate = x / unit time

boat one then travels   x  + 400  more      and boat two travels   700 + (700+x -400) more    when they meet

The time is the same      rate x time = distance      distance/rate = time     equate the distances divided by the respective rates

(700 + x + 400)/700     =    (  x  +  700     +  (700+x-400) )/x

1100x + x^2 = 1400x + 700000

x^2-300x -700000 = 0                         quadratic formula yields  x = 1000  

One boat travels 700   the other   1000 whe they first meet.....width of river =   700+ 1000 = 1700 m


Related Questions

PLZ HELP ME WITH THIS ASAP

Answers

Answer: y= 9

Step-by-step explanation: x, y= 9

the weight of an object on the moon is 0.167 of its weight on earth how much wuold a 180 pound astrounaut weigh on the moon

Answers

Answer:

About 30.06 pounds

Step-by-step explanation:

In order to solve this, you would need to multiply the total weight on earth (180 Ibs) by the force of gravity on the moon (0.167).

help asap for brainlist

Answers

Answer:

Option D

Step-by-step explanation:

(x + 8) (2x² - 5x - 3)

=> (2x³ - 5x² - 3x) + (16x² - 40x - 24)

=> 2x³ + 11x² - 43x - 24

Hope this helps!

HELP ASAP

Solve for the measure of ∠PMR

Answers

Answer:

116*

Step-by-step explanation:

Since <PMR consists of <RPW and <WPM and we know that these are the same, we just have to multiply 58 by 2 and get 116, which will be your answer.

Tell me if I'm wrong :)

Select the choice that translates the following verbal phrase correctly to algebra: (1 point)

the product of 12 and y increased by 11
12(y + 11)
12y + 11
12 + 11y
12(11y)

Answers

Answer:

[tex]⟼12(y + 11)[/tex]

The tape diagram represents an equation.
р
p
36
Find the value of p that makes the equation true.

Answers

Answer:

It's 6

p=6

Step-by-step explanation:

the perimeter of a right angled triangle is 12cm and the hypotunos is 5 cm find the value of other two sides​

Answers

Answer: The other two values are 3 and 4. This is because it is the only value which fits the formula a^2 + b^2 = c^2 (which will be 5^2 in our case). Also 3,4, and 5 is a well known right angle side length.

Would appreciate brainly <3

A. Use models to illustrate the given proportion. Do it on your answer sheet. 1) 8:6 = 4:3 2) 15:3 = 5:1 3) 12:6 = 4:2 4) 11: 7 and 44:27 5) 25 eggs to 3 hens and 75 eggs to 9 hens

pls answer it correctly​

Answers

Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :

1.)

8 : 6

Reducing each side of the ratio by an half(1/2) :

8 × ½ : 6 × ½

4 : 3

2.)

15 : 3

Reducing each side of the ratio by :

15 × ⅓ : 3 × ⅓

5 : 1

3.)

12 : 6

Reducing each side of the ratio by (one-third) ⅓:

12 × ⅓ : 6 × ⅓

4 : 2

4.)

11 : 7

Increasing the proportion by 4 :

11 × 4 : 7 × 4

44 : 28

5.)

25 eggs : 3 hens

Increasing the number of hens by 3, then egg production will also triple

25 eggs × 3 : 3 hens × 3

75 eggs to 9 hens

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Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?

Answers

Answer:

9

Step-by-step explanation:

Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?

if a + 5 = 14 just subtract 5 from 14

a + 5 = 14

a = 14 - 5

a = 9

------------check

9+5=14

14=14

the answer is good

I need help! In exchange for 100 points. Do not scam me or I will report you!

Answers

I don’t know it 3 and four angle

Find the perimeter. Simplify your answer.

Answers

Answer:

i like you become my friend girl friend i am boy

Since the Perimeter is the total distance around a figure, to find the Perimeter of a Parallelogram, we calculate the sum of all sides.

Therefore,

P=2(L•W), where P=perimeter, L=length and W=width

Length=7z+3 and Width=3z+5

• Substitute the variables in:

P=2((7z+3)+(3z+5))

• Distributive Property occurs

P=(14z+6)+(6z+10)

• Adding Like Terms

P=20z+16 or 20z+16 is the answer

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in spring 2017, data was collected from a random selection of sta 2023 students. one of the questions asked how many hours they had worked in the past 24 hours. for the 39 randomly selected upperclassmen, the sample mean was 0.61 and sample standard deviation was 2.32. for the 35 randomly selected underclassmen, the sample mean was 1.40 and the sample standard deviation was 2.65. what is the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen?

Answers

Step-by-step explanation:

Use the following information to answer the next 14 exercises: The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student. n=

PLS HURRY WILL MARK BRAINLIEST

-x+7=11-2x

Answers

Answer:

x = 4

Step-by-step explanation:

First we will subtract 7 from 11 to get

-x = 4 - 2x, next we will add 2x to -x to get

x = 4.

(It's just a matter of combining like terms.)

Hope this helps :)

After adding 17 to a number, x, you get 23.
The equation that represents the above statement is .
The value of x in the equation is .

Answers

Answer:

The equation that represents the above statement is 17+x = 23

The value of x in the equation is 6

Step-by-step explanation:

17+x = 23

x = 23 - 17

x = 6

Find the perimeter. Simplify your answer.

Answers

Answer:

p=1 2 + 2

Step-by-step explanation:

I have already answered this question. I will paste it below.

Question 6 of 10
Which graph or graphs appear to show a sinusoid?
A. I only
B. I and II only
C. Il only
D. III only

Answers

Answer: B. I and ll only

Step-by-step explanation:

The graph appear to show a sinusoid is Graph  I and II only.

What is Sinusoidal function?

A smooth, repeating oscillation characterises a sinusoidal function. Sine is an oscillation that is smooth and repeated, thus the name "sinusoidal." A pendulum swinging, a spring bouncing, or a guitar string vibrating are a few examples of commonplace objects that can be described by sinusoidal functions.

A sinusoidal function has a smooth periodic graph as its representation.

The graph repeats itself at every predetermined interval and is continuous along the x-axis.

We can tell from the graph that has been given to us that it is a sinusoidal graph || since it resembles a graph of sines.

Moreover, since graph I|I is not continuous, it cannot be a graph of sinusoidal graph.

Moreover, graph I represents a sinusoidal graph because it resembles a sine function graph.

Learn more about Sinusoidal function here:

https://brainly.com/question/12803060

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logb(x-1) + logb(x+2) = logb(8-2x)

Answers

Answer:

x=2

Step-by-step explanation:

log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:

(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work

a sketch of y = x^2 + cx + d is shown the turning point is (2,3) work out the values of c and d

Answers

Answer:

c= - 4, d = 7

Step-by-step explanation:

Given function:

y = x² + cx + d

The vertex is (2, 3)

We know the vertex form:

y = (x - h)² + k, where (h, k) is vertex

Substitute coordinates to get:

y = (x - 2)² + 3 = x² - 4x + 4 + 3 = x² - 4x + 7

Compare with given to find out:

c = - 4, d = 7

4^4+400÷(4+6^2)−2^4


Answers:

250

244

18

10

Answers

Answer:

250

Step-by-step explanation:

3. Sally invested $5,000.00 in a savings account earning 3.49% simple interest. At the same time
Jon invested $3,000.00 in a money market account at a simple interest rate of 7.5%. How many
years will it take for the two to have the same amount of money in their accounts? How much
money do they have after that time period?

Answers

Answer:

ic hch7y8gygdr6dr6d7twwt7tfx7yuc yc i

David can type 90 words a minute.
How many words can be typed in 9.5 minutes?

Answers

Answer:

855

Step-by-step explanation:

90x9.5=855

Answer:

See below:

Step-by-step explanation:

So we know that in 1 minute he can type 90 words.

To solve for 9.5 minutes, what we can do is first multiply 90 by 9 to get 810.

We then can multiply 90 by 0.5 as we are using the distributive property.

After that, we get 810 + 45 which is 885 words in 9.5 minutes.

11 times 11 in binary . Help i need it today!

Answers

Answer:

1011×1011 = 11110011

Step-by-step explanation:

11 in binary is 1011

121 in binary is 1111001

0b1111001. this is the answer in binary, i hope it helps :)

Find the slope of line 2, which is parallel to line 1. Line i goes through the points
(-13, -6), (7, 15).

Answers

(-13, -6), (7, 15) = 1.05

Equation: y = 1.05x + 7.65.

The entered points belong to an increasing, linear function.

Answer:

m = rise / run = 21/20, or m = 1.05

Step-by-step explanation:

If the lines are parallel, their slopes are identical.  So we can find the slope of line 1 and know that it's also the slope of line 2.

From (-13, -6) to (7, 15), the x-component increases by 20 units from -13 to 7.  Thus, the "run" in m = rise / run is 20.  Likewise, the "rise" is 21.

Thus the slope in question is m = rise / run = 21/20

Use the long division method to find the result when 6x^3+ 23x^2 + 15x + 28 is
divided by 2x + 7

Answers

The answer is:

3x^3+x+4.

Hope this helped!! :)

Find the measure of angle x in the figure

Answers

Step-by-step explanation:

apply angle sum property of triangle in ∆BCA

now,

x + x + 110° = 180

2x = 180 - 110 = 70

x = 70/2 = 35

x = 35°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Plz solve. I will give 50 points for whoever gets it right.

Answers

Answer:

This is like multiplication you solve this question and then you can solve the equation

1. A scuba diver wants to dive more than 2 1/2, times his previous deepest dive. That means he has to dive at least 80 feet below the surface of the ocean. This dive is represented by the inequality 2 1/2p < -80, where p is the distance below the surface of his previous deepest dive.
The scuba driver's previous deepest dive was ____ feet below the surface of the ocean.
________________________________

Veronica live on a straight road that goes east and west. She starts from a point 5.1 miles west of her home and drives a certain distance to the store the store is more than 3 and 1/2 miles east of her home. let D represent the distance Veronica drove. which inequality represents this situation?
A. -5.1 + d > 3 1/2
B.-5.1 + d > -3 1/2
C.-5.1 + d > 3 1/2
D.- 5.1 + d > -3 1/2

________________________________

Alex needs to represent the statement as an inequality half of a number is more than 1 and 1/3

Answers

The questions can be represented on a number line so that they become more clear and meaningful. The answers to each question are:

1. The scuba diver's previous deepest dive was 32 feet below the surface of the ocean.

2. Option A. -5.1 + d > 3.5 OR C. -5.1 + d > 3.5

3. Alex would represent it as: [tex]\frac{1}{2} n[/tex]  > [tex]1\frac{1}{3}[/tex]

A number line is a system that can be used to show the positions of all directed numbers.

Thus, the solutions to the given questions are stated below:

1. Let the scuba diver's previous deepest dive be represented by d . Such that,

2.5 d = - 80 .......... 1

So that;

d + p = -80 ............ 2

From equation 1,

2.5 d = -80

d = -32 feet

From equation 2,

-32 + P = - 80

p = -80 + 32

  = -48 feet

p = -48 feet

⇒ -32 + (-48) = -80

Therefore, the scuba diver's previous deepest dive was 32 feet below the surface of the ocean.

2. This situation can easily be represented by a number line, so that Veronica's home is located at point zero of the number line.

Then, the total distance that Veronica drove, d = (5.1 + 3.5) miles

                                                         = 8.6 miles

Thus, since the distance to the store is more than 3.5 miles east of her home,  thus the appropriate inequality that represents the situation is:

   -5.1 + d > 3.5

The correct option is: A or C

3. Let the number be represented by n, so that:

[tex]\frac{1}{2}[/tex]n  > [tex]1\frac{1}{3}[/tex]

Alex would represent the statement as: [tex]\frac{1}{2} n[/tex]  > [tex]1\frac{1}{3}[/tex]

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Find slope of line (I need to see if you get the same answer as me to know if it’s right)

Answers

Answer: -5

Step-by-step explanation:

Point #1:  (-4, 2)

Point #2: (-3, -3)

Slope: -5

Answer:

Slope=M=-5Full equation y=5/7x-18

Step-by-step explanation:

(-3,-3),(4,2) y=mx+b

input variables for the full equation for slope, rise/run

it rise's up 5 and runs back -1 so slope is -5

I don’t know how i’m supposed to do this it’s basically dividing a fraction with a fraction or something

Answers

It is 1.3 in decimal form

Answer:

84/63

Step-by-step explanation:

when you are dividing two fractions that is the equal of multiplying the upper one with the opposite of the one below

Find the surface area of the ball shown to the right

d=20

Answers

Answer:

Surface Area = 1,256 cm

Solution:

formula: Surface Area of a Sphere: 4π · r²

Surface area = 4π · r²

SA = 4(3.14) (10)²

SA =  (12.56)(100)

SA = 1,256

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