A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in the same amount of time it takes to travel 4 miles upstream....Use the ratio T= D/R to construct a rational equation that can be solved for x to find the speed of the current..... Whats the answer? Please answer as soon as possible...

Answers

Answer 1

Answer: The speed of the current is 2 miles per hour.

Step-by-step explanation:

We know that the speed of the boat is:

S = 10 mph.

When the boat travels with the current, the speed will be:

S = 10mph + x

where x = speed of the current.

When the boat travels against the current, the speed will be:

S = 10mph - x

Now, for a given amount of time T, when the boat travels with the current, it moves a distance of 6 miles.

Then we have the equation:

(10mph + x)*T = 6mi

And against the current, in the same time the boat moves 4 mi, then:

(10 mph - x)*T = 4mi

Then we have the system of equations:

(10mph + x)*T = 6mi

(10 mph - x)*T = 4mi

Now, we can take the quotient of these two equations and get:

((10mph + x)*T)/((10 mph - x)*T) = (6mi/4mi)

(10mph + x)/(10 mph - x) = 3/2

Now we can solve this for x.

(10mph + x) = (3/2)*(10 mph - x)

10mph + x = (3/2)*10mph - (3/2)*x

x + (3/2)*x = (3/2)*10mph - 10mph

(5/2)*x = (1/2)*10mph = 5mph

x = (2/5)*5mph = 2mph.

The speed of the current is 2 miles per hour.

Answer 2

Answer:

[tex]\frac{6}{10+6}=\frac{4}{10-x}[/tex]

Step-by-step explanation:

For plato


Related Questions

Write 4/14 in simplest form

Answers

Answer:

2/7

Step-by-step explanation:

14/2=7. 4/2=2 .2/7 is the answer

Answer:

2/7

Step-by-step explanation:

Divide by 2

4 divided by 2 is 2

14 divided by 2 is 7

So 2/7 is the simplest form

Hope this helps :)

ok I got it but I think im not sure plsss help!!!

Answers

Answer:

7 and 8: these are both proportional relationships because they grow at a constant rate of change

9: for every 40 miles that the car travels, it uses 2 gallons of gas.

10:  y= 20x

11: the graph would be steeper and have a greater rate of change. This car would be able to go farther on less fuel.

Kayla walks at a constant speed from her house to school 3.2 miles away. It takes her 45 minuets to get to school. How many miles did Kayla walk in 25 minuets.

A) 2.4 miles

B) 3.2 miles

C) 1.8 miles

D) 0.5 miles

Answers

9514 1404 393

Answer:

  c) 1.8 miles

Step-by-step explanation:

Assuming Kayla walks at a constant speed, we have ...

  miles/minutes = 3.2/45 = x/25

  x = 25(3.2/45) = 1.777... ≈ 1.8 . . . . miles

Kayla walks about 1.8 miles in 25 minutes.

Answer:

C) 1.8 miles

Step-by-step explanation:

Let's use the elimination process for this one. 2.4 and 3.2 are way too large. 0.5 is too small, so the answer is c

A retailer sends scratch-off coupons to registered customers; 30% of the coupons will reveal a discount of 50%. Before mailing, a manager selects 10 coupons at random from the stack of printed coupons and scratches to reveal the discount.

What is the probability that none of the coupons reveal a discount of 50%?

Upper P (Upper X = k) = (StartBinomial n choose k EndBinomial) (p) Superscript k Baseline (1 minus p) Superscript n minus k

Round to 3 decimal places.

Answers

The probability that none of the coupons reveal a discount of 50% is 0.28.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Binomial distribution states that,

P = [tex]^nC_kp^k q^{n - k}[/tex]

Now,

30% of the coupons will reveal a discount of 50%.

This means,

p = 30% = 0.3

q = 70% = 0.7

Now,

Select 10 coupons:

n = 10

Now,

The probability that none of the coupons reveal a discount of 50%.

[ None means k = 0 ]

So,

P(k) = [tex]^nC_kp^k q^{n - k}[/tex]

P(0) = [tex]^{10}C_0(0.3)^0 (0.7)^{10 - 0}[/tex]

P(0) = 10 x 1 x 0.028

P(0) = 0.28

Thus,

The probability that none of the coupons reveal a discount of 50% is 0.28.

Learn more about probability here:

https://brainly.com/question/14099682

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Answer:

.028

Step-by-step explanation:

Edge 2023

If it is supposed to be 33 degrees Fahrenheit on Monday morning, how many degrees in Celsius will that be? (Hint: 32 degrees Fahrenheit= 0 degrees celsius) Do you know what the conversion formula is to change Fahrenheit to Celsius?

Answers

Answer:

.6 Celsius

Step-by-step explanation:

Google

actual answer given was .555556 but simply round up

I hope this helps you

Yooooooo somebody help me...

Answers

Answer:

B

Step-by-step explanation:

122 students choose to attend one of three after school activities: football, tennis or running. There are 66 boys. 46 students choose football, of which 23 are girls. 18 students choose tennis. 28 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.

Answers

Answer:

29/61

Step-by-step explanation:

okay, first imma simplify the question a little bit.

122 students; 46 chose football; 18 chose tennis; 28girls + xboys chose running.

okay now let's find the number of students who chose running

122 - 46 - 18 = 58

now, I'll find the probability

P(Running) = 58/122 = 29/61

Topic: Probability

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Carmen buys a car for $28,000. The vehicle depreciates by 16% each year. Which of the following is the common ratio representing the car's value every year?
0.84
1.16
1.84
0.16

Answers

Answer:

y+mx+6=5

Step-by-step explanation:

Which is the largest 96.145, 96.2 or 96.19

Answers

Answer:

96.2

Step-by-step explanation:

set them as 96.145 96.200 96.190 then you will know 96.2 is the largest

Answer:

96.2

round all the numbers.. 96.145 --> 96.15, 96.2--> 96.2, 96.19-->96.2

w/3 =9
what is w ? W=____

Answers

Answer:

27

Step-by-step explanation:

27÷3 = 9

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l

Answer:

the answer is 27 i told u this but need points

Step-by-step explanation:

What is the equation of the line that passes through the points (-2, 4) and (0,10)?​

Answers

Answer:

y = 3x + 10

Step-by-step explanation:

first use slope formula:

[tex]\frac{4-10}{-2-0}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3

then plug that and the y-intercept into y = mx + b

Answer:

y = 3x+10

Step-by-step explanation:

hope this helps

50% of the tickets sold at a school carnival were early-admission tickets. If the school sold 22 tickets in all, how many early-admission tickets did it sell?

Answers

Answer:

11

Step-by-step explanation:

50% of 22 is 11

Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5)

Answers

Answer:

y = 3x - 11      

Step-by-step explanation:

Step 1:

y = mx + b          Slope Intercept Form

Step 2:

y = 3x + b        Input Slope

Step 3:

- 5 = 3 ( 2 ) + b        Input x and y values

Step 4:

- 5 = 6 + b          Multiply

Step 5:

- 11 = b        Subtract 6 on both sides

Answer:

y = 3x - 11      

Hope This Helps :)

(giving brainliest :)) help please!) Which expression uses the commutative property to make it easier to evaluate 2/3 x 2/4 x 27

Answers

D. because the answer choice only changes the order, not the numbers.

Answer:

2/3 x 27 x 1/4

Step-by-step explanation:

Two pounds of grapes costs $6 as shown in the table. At this rate, how many pounds of grapes can you buy with $1? Round your answer to the nearest hundredth, and place a 0 in the ones place (such as 0.12). Need answers ASAP

Answers

well 1 pound should cost $3 so do the math lol

Solve for x. 2.5x=50

Answers

Answer:

x=20

Step-by-step explanation:

2.5x=50

[tex]\frac{2.5}{2.5} =\frac{50}{2.5}[/tex]

x = 20

Have a great day!!!!

PumpkinSpice1

the solution to the equation 2.5x = 50 is x = 20.

To solve the equation 2.5x = 50 and find the value of x, we can divide both sides of the equation by 2.5. By doing so, we eliminate the coefficient of x and isolate the variable.

Dividing both sides by 2.5, we have:

(2.5x) / 2.5 = 50 / 2.5

Simplifying, we get:

x = 20

Therefore, the solution to the equation 2.5x = 50 is x = 20. When we substitute x with 20 in the equation, we have 2.5 * 20, which indeed equals 50. Thus, x = 20 satisfies the equation, and it represents the value that makes the equation true.

Learn more about equation here

https://brainly.com/question/29001673

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the edge of a cube whose total surface area is 384 sq.cm is _cm
1)80
2)8
3)64​

Answers


the answer that your looking for is 2)8
384 = 6x^2
64 = x^2
x = 8

therefore the answer is 2) 8cm

what is 0.16(line over six) in reduced form​

Answers

Answer:

1/6

Step-by-step explanation:

hope this helps.

a lines slope is 1/3 and its y intercept is -6, what is this equation in slope intercept form?

Answers

Answer:

y=1/3x-6

Step-by-step explanation:

£310 is divided between Angad, Nick & June so that Angad gets twice as much as Nick, and Nick gets three times as much as June. How much does Nick get?

ill mark first person brainliest

Answers

nick gets 1800 pounds. Hope it helps

Answer:

Nick gets 93 pounds

Step-by-step explanation:

June gets X

Nick gets 3X

Angad gets twice as much as Nick, so 2*(3X) = 6X

X+3X+6X=310

X= 31

We check

June gets 31 pounds

Nick gets 93 pounds

Angad gets 93x2 = 186 pounds

31+93+186 = 310. It's correct!

Write 750% as a decimal and as a fraction in simplest form

Answers

Fraction form ⇒ 15/2Decimal form ⇒ 7.5Hope this helps

State the slope of the line.

-2
1
0
undefined

Answers

The answer for the slope of the line is 0 zero

(92)4 in scientific notation BIG POINTS I HAVE UNTIL MIDNIGHT PLS HELP


A.) 9^8


B.) 9^7


C.) 9^6

Answers

Answer:

A. 9^8

Step-by-step explanation:

multiply the exponents

89 divide 8 in decimal

Answers

it depends what you are supposed to round to.
the full answer is 11.125
rounded to the hundreth is 11.13
rounded to the tenth is 11.1

AOE Find the angle of elevation if you are standing 400 ft. away and the building is 850 ft. tall?

Answers

Answer:

64.8°

Step-by-step explanation:

A

Please see attached a rough sketch for your reference

Step one:

Given data

the distance you are standing from the building represent the adjacent =400ft

and the height of the building represents the opposite= 850ft

Step two:

Required is the angle of elevation

applying SOH CAH TOA

Tan ∅= opp/adj

Tan ∅= 850/400

Tan ∅=2.125

∅=Tan-1(2.125)

∅=64.8°

The angle of elevation 64.8°

You can use the fact that buildings are usually standing perpendicular to the ground and ground for smaller distance acts as if its a straight plane.

The measurement of angle of elevation is [tex]64.798^\circ[/tex]

What is angle of elevation?


What you see something higher than your eye level height, you need to see up, you elevate your head to see that thing. The angle from the straight horizontal level of eye to the current elevated level is measured and named as angle of elevation.

Similarly, there is angle of depression when the observer looks down.

See the figure attached below to understand the symbols used in calculations.

Since the building is 850 ft tall, we can assume that our height is almost 0 in comparison to this building (the angle deduced then will be approximately equal to the real angle).

Let you're standing on point O

Let the building's base is point A.

Let the top of the building is tagged as point E.

Then we have:

Length of OA = 400 ft.

Length of AE = 850 ft.

To find: angle AOE.

By using the trigonometric ratio tangent, we get:

[tex]tan(\angle AOE) = \dfrac{AE}{OA} = \dfrac{850}{400} = 2.125\\\\ m\angle AOE = arctan(2.125) = 64.798^\circ \text{\: (from calculator)}[/tex]

Thus, the measurement of angle of elevation is [tex]64.798^\circ[/tex]

Learn more about angle of elevation here:

https://brainly.com/question/12483071


Are the polygons similar? If they are, write a similarity statement and give the scale factor. will make brainiest

Answers

Answer:

the first dot

Step-by-step explanation:

The polygons are not similar.

(A U B) U (A n B)
A= {1,3,7,9,10}
B={2,5,7,8,9,10}

Answers

Answer:

(A U B) = {1,2,3,5,7,8,9,10}

(A n B)= {7,9,10}

(A U B) U (A n B) = {1,2,3,5,7,8,9,10}

Step-by-step explanation:

identifying slopes pls help

Answers

Answer:

That is a negative slope

Step-by-step explanation:

Hope  this helps

Help question below please and thank you i will give brainliest

Answers

Answer: angle V = 41 degrees  (choice B)

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

Explanation:

We're told that RS = ST = RT. This means triangle RST has all three sides equal to one another. This triangle is equilateral. Each interior angle is 60 degrees. This is because each angle is y, and y+y+y = 180.

Since each angle of triangle RST is 60 degrees, this means angle STR is 60 degrees.

Let z be the measure of angle UTV. Note how

(angleSTR)+(angleUTV) = 180

60+z = 180

z = 180-60

z = 120

Making angle UTV to be 120 degrees

------------------------------------

Now we can focus on triangle UTV since we have expressions for each interior angle

U = 4x-9T = 120V = 5x+6

Add up those angles, set the sum equal to 180, solve for x

U+T+V = 180

(4x-9)+(120)+(5x+6) = 180

9x+117 = 180

9x = 180-117

9x = 63

x = 63/9

x = 7

Use that x value to find the missing angle measures

angle U = 4x-9 = 4*7-9 = 28-9 = 19 degrees

angle V = 5x+6 = 5*7+6 = 35+6 = 41 degrees

Note how

U+T+V = 19+120+41 = 180

which helps confirm our answer.

Answer: angle V = 41 degrees  (choice B)

Step-by-step explanation: plz give brainliest

What equation represents the function?

Answers

Answer:

I think its B  the line is so going decreasing

Step-by-step explanation:

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