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

Can you please give me the domain and the rage of the graph below? And not in (-∞,∞) form please, thank you

Answers

Answer:

d:-3, -2, -1, 0, 1

r: all numbers that are 4 and below

Step-by-step explanation:

i just wanna make sure yall, when it says find the coordinates does mean
to find x and y?

Answers

Answer:

it means to graph the x and the y are horizontal and vertical lines that you use in graphs to graph the number or to reach it ,, hope this helps ..

Step-by-step explanation:

Simply the expression 49^1/2

Answers

Answer:

7

Step-by-step explanation:

[tex]49^{1/2}[/tex]=[tex]\sqrt{49}[/tex]. so just find the square root of 49. luckily, 49=7^2 so the answer is 7

Answer:

I think it 7

hops it helps:)

Which graph represents this equation?
y=-2 (24)
-2 -1
1 2314
O1 2 3 4
*232)
2 3 4

Answers

Answer:

its the second option under the first one... which is more than likely C.

Step-by-step explanation:

i need help with how to reason it

Answers

Answer:

X=80

Step-by-step explanation:

As 100⁰ is Opposite to B and AD and EH Are PARALLEL so B=100⁰

180-100

=80⁰

MARK ME BRAINLIEST

5874.9 divided by 347

Answers

Answer:

Step-by-step explanation:

16.9305475504

please answer the question fast i need it

Answers

Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

The similarity ratio is the ratio of corresponding sides, image to original

ratio = [tex]\frac{LK}{FG}[/tex] = [tex]\frac{24}{20}[/tex] = [tex]\frac{6}{5}[/tex] ( = 1.2 )

PLEASE HELP IM BEGGING. which is function and which is not function please answer all.

Answers

Answer:

B

Step-by-step explanation:

for every given input there is a unique output in B, there are two times in which 5 is the output. So it is not a function

PLEASE HELP ! what is f(5)
A) 0
B) 5
C) -7
D) -5

Answers

[tex]⇒[/tex][tex]f(x) = f(5) \\ = 5f[/tex]

- BRAINLIEST answerer

the answer is C. -7

f(5) = -7

Reasoning A store sells packages of comic books with a poster. A poster and 8 comics cost $14.75. A poster and 16 comics cost $22.75. Write a linear function rule that models the cost y of a package containing any number x of comic books. Suppose another store sells a similar package, modeled by a linear function rule with initial value $5.50. Use pencil and paper. Explain which store has the better deal.
The linear function rule is y=​

Answers

647474 is the answer it’s for sure right i had the same problem

solve my math question

Answers

Answer:

letter C

Step-by-step explanation:

keep learning On math

1238 round to the nearest 1000

Answers

Answer:

1,238.000

Step-by-step explanation:

Renata moved to her new home a few years ago. Back then, the young oak tree in her back yard was 190 centimeters tall. She measured it once a year and found that it grew at a constant rate. 3 years after she moved into the house, the tree was 274 centimeters tall
How fast did the tree grow?

How many years passed from the time Renata moved in until the tree was 344 centimeters tall?

Answers

1.

The equation for this problem would be

y = (?)x + 190

With y being the height after a given amount of years and x being the amount of years passing. We would need to find ?, the rate of how fast the tree grows. The problem gives us y = 274 centimeters and x = 3 years

Let’s plug in and solve for ?

274 = ?(3) + 190

84 = ?3

28 = ?

The tree grew 28 cm per year

2.

Since we know the rate of change and y, let’s just plug in values

344 = 28x + 190

154 = 28x

5.5 = x

5.5 years since Renata moved.

Answer:

Answers below

Step-by-step explanation:

How fast did the tree grow?

28 centimeters per year

How many years passed from the time Renata moved in until the tree was 344 centimeters tall?

5.5 years

Hope this helps!

how do you solve this inequality
[tex]2x - y \leqslant 3[/tex]


Answers

Step-by-step explanation:

I said in your comments, you can solve it for each variables

you have 2 answers

1) 2x<y+3

[tex]x \leqslant \frac{y + 3}{2} [/tex]

2)

[tex]y \geqslant 2x - 3[/tex]

Julie spent $15 on 3 headbands. Mary spent $48 on 8 headbands. How much more
did Mary spend per headband?
$5.50
$1
$2.13
$4

Answers

Based on the information given, the amount of money that Mary will spend more for the headband will be $1.

Since Julie spent $15 on 3 headbands, the amount per headband will be:

= $15/3 = $5

Since Mary spent $48 on 8 headbands, the amount per headband will be:

= $48/8 = $6

Therefore, we can then calculate the difference between the values that are gotten. This will be:

= $6 - $5 = $1

Therefore, the difference is $1.

Learn more about division on:

https://brainly.com/question/24429956

You need to raise a total of $1,000 for your trip. There are 20 days before you leave. You estimate that you will be able to sell 25 candy bars per day. How much should you charge for each candy bar?

Answers

Answer:

1,000 ÷25 = 40 so 40÷20= $2.00

your answer is $2.00 hope this helps

Assertion - if the mean of five observations X, X+2, X+4, X+6, X+8 is 11 then,Mean of last 3 observations is 8. Reason - Range= Max. Value - Min. Value. (a) Both A and R are true, and R is the correct explanation for A. b) Both A and R are true, and R is not the correct explanation for A. c) A is true but R is false. d) A is false but R is true. ​

Answers

A is false but R is true (the mean of the last 3 values is not 8 since x=7)

Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over.

Answers

Answer:

  GCF(54, 42) = 6 arrangements

Step-by-step explanation:

The number of such arrangements will be the greatest common factor (GCF) of the two numbers. You recall from your times tables that ...

  54 = 6×9

  42 = 6×7

The factors 9 and 7 have no factors in common, so 6 is the greatest common factor of 54 and 42.

  6 identical arrangements of 9 roses and 7 tulips can be made.

_____

Additional comment

When the numbers are small and found in your memorized times tables, finding the GCF is done by consulting your memory. Otherwise, it can be done by factoring, or by using Euclid's algorithm.

When the numbers are factored to primes, the GCF is the product of the prime factors the numbers have in common.

  54 = 2×3×3×3

  42 = 2×3×7

These factorizations have 2×3 = 6 in common.

__

Euclid's algorithm has you find the remainder from the division of the larger number by the smaller. When that remainder is not zero, it replaces the larger number, and the process repeats. When that remainder is zero, the divisor is the GCF.

  54/42 = 1 r 12

  42/12 = 3 r 6

  12/6 = 2 r 0 . . . . GCF = 6

This algorithm works on numbers of any size (including fractions and mixed numbers), so is especially useful when the factorization is not obvious.

A printing company sells small packages of personalized stationery for $7 each, medium
packages for $12 each, and large packages for $15 each. Yesterday, the company sold 9
packages of stationery, collecting a total of $86. Three times as many medium packages
were sold as large packages.

Can someone set up the question? I’m unsure of what the equations would be.

Answers

Step-by-step explanation:

what's the question ? it does not say.

I assume it is "how many packages of what size were sold ?"

x = number of small packages

y = number of medium packages sold

z = number of large packages sold

x + y + z = 9

7x + 12y + 15z = 86

y = 3z

these are the 3 equations we get out of the question.

we put the third equation into the other two :

x + 3z + z = x + 4z = 9

7x + 12×3z + 15z = 7x + 36z + 15z = 7x + 51z = 86

it of this first equation we get

x = -4z + 9

and putting that into the other equation :

7×(-4z + 9) + 51z = 86

-28z + 63 + 51z = 86

23z = 23

z = 1

y = 3z = 3×1 = 3

x = -4z + 9 = -4×1 + 9 = -4 + 9 = 5

so, 5 small, 3 medium and 1 large packages were sold.

You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?​

Answers

Answer:  1/6

====================================================

Explanation:

Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.

Evaluate -1(-2)(-4)(-2)

Answers

Answer:

16

Step-by-step explanation:

Negative times negative = positive

-1(-2) = 2

2(-4) = -8

-8(-2) = 16

Please consider giving this answer brainliest if it helped you. Thanks!

Answer:

─16

Step-by-step explanation:

1(−2)(−4)(−2) when x=1, y=2, z=5 which equals, ─16

At a sale this week, a suit is being sold for $274.40. This is a 72% discount from the original price.

Answers

Answer:

Your new total with the sale is 76.83 dollars

Step-by-step explanation:

Carefully evaluate f (1)

Answers

Answer:

it should be f

Step-by-step explanation:

These are already solved but can someone explain how we got them, steps please! I really need it..

Answers

Answer:

1A,) 5x 2 and 3x are unlike terms and 9x 3 and 2x 2 are also unlike term

* so you have to put the like terms together to solve the equation

*then you say 9x 3 first because it is the biggest number (I think)

* then you put 5x 2 and 2x 2 together and 3x and x together too

* then you will get : 9x 3+ (5x 2 + 2x 2) + (3x -x)

:9x 3 + 7x 2 +2x

Note:

in algebra 3x -x is like saying 3-1 aka x is seen as 1 but the one is invisible

haha

and unlike terms are terms that do not have the same variables or powers while like terms are terms that have the same variables or powers

Help very quick ! thank youuuuuuuuuuuuuu

Answers

2 hours 45 minutes

hope this helps

She spent 2 hours and 45 minutes.

Please help! take a pic and put a dot with the drawing tools on ur snipping tool/snip and sketch. Please i cant fail these questions!

Answers

take a pic of what and where are the questions???

need help!!!!
No guessing,no links

Answers

Answer:

d = mn/F

Step-by-step explanation:

F = mn/d

multiply both sides with d

d*F = mn/d*d

dF=mn

divide F from both sides

d/F = mn/F

So..

d = mn/F

Answer:

Given:

[tex] \boxed{ \mathsf{F = \frac{mn}{d} }}[/tex]

Divide both sides by "mn":

[tex] \mathsf{ \frac{F}{mn} = \frac{mn}{d \times mn} }[/tex]

The two mn's on the RHS gets canceled out. So we're left with:

[tex] \mathsf{ \frac{F}{mn} = \frac{1}{d} }[/tex]

Invert the fractions present on either side of the "equals" sign

(In other words, flip it on its head so its numerator becomes its denominator and vice):

[tex] \mathsf{ \frac{mn}{F} = \frac{d}{1} }[/tex]

Hence, we got the value of d:

[tex] \underline{\mathsf{ d= \frac{mn}{F} }}[/tex]

Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake? Explain your answers.

Answers

Answer:

30 cookies and 6 cupcakes

Step-by-step explanation:

5+1=6

5:1=6

?:?=36

36/6=6

5x6=30

1x6=6

30 cookies

6 cupcakes

2) Find the area and perimeter of a semi -circular disc whose radius is 10cm. (take π = 3.14)

Answers

Answer:

Area =Pi r2

=3.14×10x10

=3.14×100cm2

=3.14cm2

Perimeter = 2 pi r

=2 ×3.14×10

=6.28cm

Or =Pi d

= 3.14 ×20cm

=62.8cm

Note:

R means radius

D means diameter

radius is half of a diameter e.g radius is10 and diameter is 20

I can recommend you watching yt videos it helped me alot

hoo this helps:)

please help me
(6-i) ^2 - 12 (6-i)

Answers

Answer:

-37

Step-by-step explanation:

Other Questions
Find the following limit without using a graphing calculator or making a table. In a computer network, a _____ server is a specialized server that manages resources for the network. Which situation involves permutations? A. choosing 5 people out of 15 to participate in a survey B. choosing 3 flavors of ice cream out of 15 for an ice-cream sundae C. choosing a dozen flowers out of 30 to create a bouquet D. choosing first second-, and third-place winners in a cooking contest Tourists who had paid money for a safari were packed into the bus like sardines in a can.Which statement is true?The sentence features figurative language in the form of a metaphor.The sentence features figurative language in the form of a simile.The sentence features literal language in the form of a metaphor.The sentence features literal language in the form of simile.pls explain why! thx :) Jared has four pieces of rope that are each 12.75 feet long. How many feet of rope does he have in total?51 feet50.8 feet16.75 feet12.79 feetAnswer=51 Feet Describe the structure of the sun and name all of the layers starting from the center. If you took a year off from school, what kinds of experiences would you seek? who were invloved in the Battle of Bunker Hill -8 + x - 2 - 5xPlssss angles of triangle sand explain how u got each question and answer pls ! ((: James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account.How much money was in the account after 212 years?Round your answer to the nearest cent. ON TIME LIMIT PLEASE HELP!!Read the excerpt from Homecoming.At half-past eight, Dicey herded everybody back into the mall, to use the bathrooms they had found earlier. Later, Sammy and Maybeth fell asleep easily, curled up along the back seat. James moved up to the front with Dicey. Dicey couldn't see how they were both to sleep in the front seat, but she supposed they would manage it. James sat stiffly, gripping the wheel. James had a narrow head and sharp features, a nose that pointed out, pencil-thin eyebrows, a narrow chin. Dicey studied him in the darkening car. They were parked so far from the nearest lamppost that they were in deep shadows.With her brothers and sisters near, with the two youngest asleep in the back seat, sitting as they were in a cocoon of darkness, she should feel safe. But she didn't. Though it was standing still, the car seemed to be flying down a highway, going too fast. Even the dark inside of it was not deep enough to hide them. Faces might appear in the windows at any time, asking angry questions.Based on the excerpt, which best describes Diceys mood?A: She is having a hard time feeling safe in the current situation. B: She is in denial about her familys present circumstances.C:She is trying to stay upbeat and carefree whenever possible.D: She is very distracted by what already happened to her family. when receiving raw shell eggs you must reject the delivery if How much force is required to move a tractor 60m, when using 250J of work? Find the perimeter of this figure. Enter your answer in the box.(-7 , 3) (8 , 3) (-7 , -1) (2 , -1) (2 , -8) (8 , -8) This is language arts.Golda wrote this introduction to her opinion essay.I've spent last weekend with my family volunteering at the food bank. we help sort canned goods. we all work really hard, and we had a great time. it's important to volunteer your time because you're helping others.based on her introduction, what is Golda trying to convince her readers to do?A) work hardB) volunteer their timeC) sort canned goodsD) spend time with their families John was given his own cell phone for his birthday. This is not uncommon, as _____ of kids have a cell phone. Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFractionNegative r Superscript 7 Baseline minus s Superscript 12StartFraction r Superscript 7 Over s Superscript 12 EndFractionStartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction Why does the reactivity of metals increase from right to left. Pls help i am so lost