A boat can travel 16 Kilometers per hour in still water. The boat travels 15 kilometers down a river and then 15 kilometers up stream. The entire trip takes 5.5 hours. Which equation describes the current, c, of the river?

a)
[tex] \frac{16}{15 + c} + \frac{16}{15 - c} = 5.5 [/tex]
b)
[tex] \frac{5.5}{16 + c} + \frac{5.5}{16 - c} = 15 [/tex]
c)
[tex] \frac{5.5}{15 + c} + \frac{5.5}{15 - c} = 16 [/tex]
d)
[tex] \frac{15}{16 + c} + \frac{15}{16 - c} = 5.5[/tex]

Answers

Answer 1

Answer:

d)

Step-by-step explanation:

the sites of the boat alone is 16 km/h.

downstream and upstream the effective speed is then influenced plus and minus by the current.

the distance traveled is 15km.

as speed = distance/time

then distance / speed = distance / (distance/time) = time

and we know the time it takes : 5.5 hours.

so, only answer d uses the right values in the "right places".


Related Questions

Find the area of a triangle with vertices (1, -1), (7,5), (1, 7).

Answers

Please prefer the picture for your answer.We know, area of a ∆ = 1/2 × base × height.Here, base = ( 7 + 1) units = 8 units.Height = (7 - 1) units = 6 units.Therefore, the area of the ∆= (1/2 × 8 × 6) square units = 24 square units.

Answer:

The area of the triangle is 24 square units.

Hope you could get an idea from it.

Doubt clarification - use comment section.

A high school teacher teaches three classes per day. Her first class has double the number of students as her
second class, while her third class has 5 more students than her second class. In total, she teaches 65 students.
The equation 2x + x + (x + 5) = 65 represents this scenario, where x is the number of students in her
second class.
How many students are in her second class?

Answers

Answer: 15 students in her second class.

Step-by-step explanation:

Let A, B, and C stand for the number of students in each class. See the attached table.

The column labelled "Students" is formed by assinging B to the second class and finding how the other two classes relate to B. Class A has twice as many students as class B, so A = 2B. Class C has 5 more students than B, so C = B+5.

The total students amount to 65, whcih is the sum of A, B, and C:

A + B + C = 65

Substitute the values of A and C into this equation:

A + B + C = 65

2B + B + (B+5) = 65

4B + 5 = 65

4B = 60

B = 16

Use B=16 and solve for the other two classes (dotted blue line).

Light bulbs cost £3.30 each.Yasmin buys as many as she can with £40.How much change should she get?Give your answer in pounds, £

Answers

Answer:

40p / £0.04

Step-by-step explanation:

£3.30 X 10 = £33

£3.30 X 2 = £6.60

£6.60 + £33 = £39.60

£40 - £39.60 = 40p / £0.04

|3x - 5| = |6x - 1|

Answers

Answer:

x = -4/3

Step-by-step explanation:

|3x - 5| = |6x - 1|

=> 3x - 5 = 6x - 1

=> 1 - 5 = 6x - 3x

=> -4 = 3x

=> x = -4/3

Hoped this helped.

Answer:

x = [tex]\frac{-4}{3}[/tex] or x = -1.333333.....

Step-by-step explanation:

3x - 5 = 6x - 1

Move the 3x to the other side by subtracting, because the 3x is positive on the left side.

-5 = 3x - 1

Move -1 to the other side by adding.

-4 = 3x

Divide by 3 to get x

[tex]\frac{-4}{3}[/tex] = x

Hope this helps! <3

Express the perimeter of the triangle as a polynomial

8x - 2
5x - 4
9x - 3

Answers

Answer:

P = a + b + c

P = (8x + 2) + (5x - 4) + (9x + 3)

P = 8x + 5x + 9x + 2 - 4 + 3

P = 22x + 1

I hope this helps.

beno
8) Sarawong spent half of his weekly
allowance playing mini-golf. To earn
more money his parents let him wash the
dog for $5. What is his weekly allowance
if he ended with $12 ?

Answers

Answer:

$ 14

Step-by-step explanation:

12 - 5 = 7 = half weekly allowance

can someone help me with this problem?

Answers

Answer:

B) f^-1(x)=3-5x

Step-by-step explanation:

y=3-x/5

rearrange the equation so you have x variable on the left side

5y=3-x

+x     +x

5y+x=3

-5y      -5y

x=3-5y

so answer is b)

f^-1(x)=3-5x

I NEED TO FINISH THESE BY NEXT WEEK>

Answers

Answer:

domain is (2,-3)

range is (1)

Here is an inequality -10+x÷4+5>7x-5÷3

Answers

Answer:

here is the answer x>1/2

Systems of elimination for
2w-3q=8
3w-7q=7

Answers

i guess is by multiplying 3by the first equation and multiply 2by the second equation

What is the constant of proportionality in this
equation?
y= 20x

Answers

Answer:

k=20

Step-by-step explanation:

The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.

I got B+ in math what do you think should i tell my parents

Answers

Answer:

bro i got a B+ in math tooo!!!!!!!!

Step-by-step explanation:

yeah tell them!

Answer:

It's a low A and your working on bringing it up

Step-by-step explanation:

PLZ HELP ME WITH THIS ASAP

Answers

Answer: y= 9

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

Pls can someone pls help me
Please show your work

Answers

Answer:

x = 8

I dunno what the question is in the first place, but I assume you are solving for x.

Step-by-step explanation:

The two given angles are equivalent because they are parallel and they have a line that intersects.

The line creates two angles on each side of each line, which is 120 or 60 because there are 180 degs on a straight line.

The obtuse side is 120, and the -8 + 16x is also on an obtuse angle, showing that they are equal.

120 = -8 + 16x

128 = 16x

8 = x

x = 8

Question 2 1 pts Which statement best describes 1-14 1? Remember, absolute value is a number's distance from O, so the number will always be positive :) O The distance from -14 to 0 on a number line. The answer is 14. O The distance from 14 to O on a number line. The answer is -14. O The distance from -14 to 14 on a number line. The answer is 28. O The distance from 0 to 14 on a number line. The answer is -14. Question 3 1 pts​

Answers

Answer:

  (a)  The distance from -14 to 0 on a number line. The answer is 14.

Step-by-step explanation:

If you put "-14" in the problem statement in place of the word "number," you will find it substantially matches the wording of answer choice A. |-14| means ...

  The distance from -14 to 0 on a number line. The answer is 14.

please help me!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Option a,c,e,f,i,j are quadratic equations. (Because its degree is 2)

Option b,d,g are linear equations. (Because its degree is 1)

Just option h is not quadratics nor linear.

If you need to ask any questions, please let me know.

Travis Scott sold 38 papers in 2 hours. At that rate, how many papers would he sell in 3 hours?​

Answers

Answer:

none cuz Travis don't sell papers

Step-by-step explanation:

I'm kidding so 38 ÷ 2 = 19 so 38 + 19 or 19 × 3 = 57

Chelsea has 11 times as many brushes as Monique if they have 60 brushes altogether how many brushes would Chelsea have

Answers

Answer:

Your anwser would be

5.45454545455

Step-by-step explanation:

since Chelsea has 11 times as many brushes as Monique ypo would need to divide 11 from 60 and that gets you 5.4545

Why because now that you have 5.4545mutiply that by 11 and you get 60 since Chelsea has 11 times as many brushes as Monique.

BA is congruent to BC and DA is congruent to EC. Prove BD is congruent to BE.

Answers

Answer:

See below for answer.

Step-by-step explanation:

BA ≅ BC                         Given

DA  ≅ EC                       Given

BA + DA ≅ BC + EC      Congruent  parts are congruent

BD ≅ BE                        Addition

Type the missing digit down below
11,466,_39 is divisible by 3

Answers

Answer:

0,3,6,9

Step-by-step explanation:

The divisibility rule for 3 is to add up all the digits and see if it's divisible by three. 1+1+4+6+6+3+9= is divisible by three. So the digit also has to be divisible by 3

Answer:

There are 4 possible answers and they are: 0, 3, 6 or 9

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

Explanation:

Recall the divisibility by 3 rule is that if the digits add to a multiple of 3, then the original number itself is also a multiple of 3.

Let x be the unknown digit. The number 11,466,x39 has its digits add to:

1+1+4+6+6+x+3+9 = x+30

Notice that 30 is a multiple of 3 since 30 = 3*10. This must mean x has to be a multiple of 3 as well. If x is a single digit and a multiple of 3, then we have the following options: {0,3,6,9}

If any of 0, 3, 6, or 9 replaces x, then the number 11,466,x39 is a multiple of 3.

In other words,

11,466,039 is a multiple of 311,466,339 is a multiple of 311,466,639 is a multiple of 311,466,939 is a multiple of 3

because all the digits add to some multiple of 3.

geometry Solve for x

Answers

Is 1.1333…. An answer choice?

(2x+6)5x=8x-11

Interior is always equal to exterior.

7x+6=8x-11

15x+6=-11
-11
——
15x. 17
——. ——
15. 15


1.1333….

When 3(2x + 9) = 4x - 7 is solved for X, the solution is
1
3.
is 17
4
xs-17

Answers

[tex]\\ \sf\longmapsto 3(2x+9)=4x-7[/tex]

[tex]\\ \sf\longmapsto 6x+27=4x-7[/tex]

[tex]\\ \sf\longmapsto 6x-4x=-7-27[/tex]

[tex]\\ \sf\longmapsto 2x=-34[/tex]

[tex]\\ \sf\longmapsto x=17[/tex]

is
-f(x)
the same as
f(-x)

Answers

Answer:

  In general, no.

Step-by-step explanation:

f(-x) = -f(x) when the function is "odd." Such a function is symmetrical about the origin. This will not generally be the case, so, in general, -f(x) ≠ f(-x).

_____

Additional comment

When f(-x) = f(x), the function is "even." It is symmetrical about the y-axis.

Among trig functions, sin(x) is odd, and cos(x) is even.

Among polynomials, any polynomial with only odd-degree terms is odd; any polynomial with only even-degree terms is even.

hi guys. been trying to learn how to figure out these types of questions. having heaps of trouble. would someone be able to explain for me thankq

Answers

Step-by-step explanation:

you multiplie elements in order

first you multiple 2v by 4,than 2v by -v,than -q by 4 and finally -q by -v

it will be 8v+2v^2-4q+qv

Lucy has some number cards that each have a whole number on them.
If she chooses a card at random, the probability that the number on it is
even is
3/7

Work out the ratio of even cards to odd cards that Lucy has.
Give your answer in its simplest form.



PLEASE HELP BRAINLIST TO FASTEST AND CORRECT ANSWER

Answers

Answer:

Well lucy has a 50/50 chance to get a odd card so that is it

Step-by-step explanation:

The ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.

Let's denote the number of even cards as "x" and the number of odd cards as "y".

The probability of choosing an even card is given as [tex]\frac{3}{7}.[/tex]

The probability of choosing an even card is calculated by dividing the number of even cards by the total number of cards:

Probability of choosing an even card = Number of even cards / Total number of cards

Therefore, we have:

[tex]\frac{3}{7} = \frac{x}{x+y}[/tex]

To find the ratio of even cards to odd cards, we can set up the equation:

[tex]\frac{x}{y} = \frac{3}{4}[/tex]

Therefore, the ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ4

How to tell if a function is exponential.

Answers

Answer:

It is when it has factors and can be multiplied

its in the photo which one is the answer

Answers

Answer:

number 3 is the answer

Step-by-step explanation:

hope u understand

A 4-mile cab ride cost $5.50, and a 9 mile cab ride costs $8.00. Identify two points from this information. Let the total cost of the cab ride represent (y) and the number of miles traveled (x)

Answers

Two points which can be identified from this information are; (4, 5.50) and (9, 8.00).

According to the question;

total cost of the cab ride represent (y) and the number of miles traveled (x).

In essence, the information provided can be used to provide two points as follows; (4, 5.50) and (9, 8.00).

Read more:

https://brainly.com/question/241139

Hi I was wondering if I could get some help with this question please 26POINTS!!
PLEASE HELP
given the parent function f(x)=√x and a new function g(x)=√x+6+3. Select from the drop-down menus to correctly describe the changes on the graph from f(x) to g(x).

The graph will shift 6 unit______and 3 units______.
choices:up up
down down
left left
right right

Answers

Answer:

The graph will shift 6 unit  left   and 3 units    left

Step-by-step explanation:

[tex]g(x) = \sqrt{x+6+3}[/tex]

how does adding with decimals cpmpare to adding whole number

Answers

Answer:

Add decimals the same way as whole numbers, taking care to align the decimal points. Equivalently, align the ones because every number has ones.

Step-by-step explanation:

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