In his​ motorboat, Bill Ruhberg travels upstream at top speed to his favorite fishing​ spot, a distance of 264 ​mi, in 6 hr.​ Returning, he finds that the trip​ downstream, still at top​ speed, takes only 5.5 hr. Find the rate of​ Bill's boat and the speed of the current. Let x​ = the rate of the boat in still water and y​ = the rate of the current.

Answers

Answer 1

Answer:

The values are   [tex]x =  46 miles /hr [/tex]

                            [tex]y = 4 \  miles / hr[/tex]

Step-by-step explanation:

From the question we are told that

   The distance covered is  d =  264 miles

     The time taken is [tex]t_1 =  6 hours[/tex]

     The time taken for the return trip is  [tex]t_2  =  5.5 \ hours[/tex]

Generally during the trip  toward fishing spot , the velocity is mathematically represented as

     [tex]v_t  =  \frac{d}{t_1 } = x - y[/tex]

=>  [tex]v_t  =  \frac{264}{6 } = x - y[/tex]

=>    [tex]x - y  = 44 \cdots 1 [/tex]

Generally during the  return trip  , the velocity is mathematically represented as

      [tex]v_r  =  \frac{d}{t_2}  =  x+ y[/tex]

=>   [tex]v_r  =  \frac{264}{5.5}  =  x+ y[/tex]

=>   [tex]48 =  x+ y\cdots 2[/tex]

add equation 1 and 2

       [tex]2x =  92[/tex]

=>    [tex]x =  46 miles /hr [/tex]

substituting this  into  equation 1

     [tex] 46 - y  = 44 \cdots 1 [/tex]

=>   [tex]y = 4 \  miles / hr[/tex]


Related Questions

You start at (10, 1). You move down 1 unit and left 7 units. Where do you end?

Answers

Translation in right or left causes the x coordinate to change while translation in up or down causes the y coordinate to change.

Moving left or down causes the coordinates to be going negative.

Moving right or up causes the coordinates to be positive.

Original point (10, 1).

Down 1 unit:

(10, 1 - 1) = (10, 0)

Left 7 units:

(10 - 7, 0) = (3, 0)

You end at (3, 0)

First to awnser will the question correct will get brainlyist
The number 51 is decreased to 26. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

Answers

Answer:

-49%

Step-by-step explanation:

i know this one by doing a long math formula

Answer:

49.0%

Step-by-step explanation:

take the 2 numbers and find the difference

51 - 26 = 25

take the difference and divide it by the orginal number

25÷51 = 0.49019607843

then times that number by 100

(25÷51) × 100 = 49.0196078431

so the number was decreased by 49.0 %

1. A local pizzeria sold 85 pizzas yesterday

(a) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus?


(b) Suppose the actual number of pizzas sold today was 65. Describe the number of pizzas sold as a percent increase or decrease rounded to the nearest hundredth.

PLEASE ANSWER ASAP!

Answers

Answer:

(a) 102 (b) 65.5

Step-by-step explanation:

(b) 85-23%=65.45 Round 65.45 up to 65.5

can someone help me figure this out?

Answers

Answer:

SAS

Step-by-step explanation:

SAS stands for Side Angle Side. Because the two triangles have a side, angle, and side in common, SAS is the correct answer.

what temperature is 12%C hotter than 16%C

Answers

The temperature that 12%C is hotter than 16%C is 4%C

Isabel began training for a marathon by running 63 miles during her first week. Each week, she increased the distance she ran by 10% of the previous week's distance.

Which function represents the number of miles she ran during the nth week?​

Answers

Answer:

10% of 63 is 6.3 so 63+6.3=69.3

Step-by-step explanation:

If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′ lie? Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at 0, 2, D at negative 1, 1. (−4, 1) (1, −1) (1, 1) (−4, −1)

Answers

Answer:

(-4, 1)

Step-by-step explanation:

Answer:

(-4,1)

Step-by-step explanation:

I took the quiz and got it right

Find the area of the rectangular field in hectares whose length and breadth are 400 m and 125 m.

Answers

Answer:

50,000 m²

Step-by-step explanation:

c. How many doughnuts are in 7.80 dozen doughnuts

Answers

Answer:

93.6 becasue there are 12 donuts in a dozen. So you multiply 12 by 7.80.

Which of these terms does not describe polygon A’B’C’D?

A. Rotation

B. Transformation

C. Reflection

D. Image

Answers

Wouldn’t it be C?? Hopefully this is right

The terms that does not describe polygon A’B’C’D should be considered as the option c. reflection.

What is reflection?

In terms of geometry, a reflection should be known as the flip, It should be considered as the mirror image of the shape. The image should reflect via the line that we called as the reflection line.

When it should be at reflection so each and every point in the figure should be equidistant with respect to the another figure.

Hence, The terms that does not describe polygon A’B’C’D should be considered as the option c. reflection.

Find out more information about reflection here

https://brainly.com/question/10852108

#SPJ3

Please help me with my homework

Answers

A) 1st one

B) 2nd one

C) and im too lazy to do c

Answer:

6 x 10^-6 is a greater value

2 x 10^-8 is the lesser value

I'm not sure about the third one

what is the ruler postulate

Answers

Answer:

The points on a line can be assigned real number coordinates (think of numbers on a number line). The distance between any two points is their difference.

What is another way to write the equation o 7/8x+3/4=-6​

Answers

Answer:

7+3/8+4 x =-6

C. 7/8 + 3/4x = -6

D. 7/8x - 3/4 = 6

Step-by-step explanation:

PLEASE FAST HELP PLS I BEG U

Answers

Answer:A.,C.,D that is the answer

Step-by-step explanation:

Ooh ig oh oh oh oh oh

238 x 13 please explain the steps too

Answers

Answer:

3094

Step-by-step explanation:

The way that I'm going to do it it's not the traditional

[tex]238\cdot13\\\\\longrightarrow 13=10+3\\\\\Rightarrow 238\cdot(10+3)\\\\=238\cdot(10)+238\cdot(3)\\\\=2380+238\cdot (3)\\\\=2380+(200+30+8)(3)\\\\=2380+(200)(3)+(30)(3)+8(3)\\\\=2380+600+90+24\\\\=2980+90+24\\\\=3004+90\\\\=3094[/tex]

A bookstore sells textbooks for $80 each and notebooks for $4 each. Th
bookstore would like to sell $800 in merchandise by the end of the week
write a linear equation that describes the problem

Answers

Answer:

the equation is 80×9=720 20×4=80 and if you add them together you get 800

Can you please help me?

Answers

29 degrees
Because both angles have to equal 56 and you already know the angle measure of one of them which is 27 so you just have to subtract 29 from 56

PLEASE HELP ME!!! -3x + 12 < 18

Answers

Your answer will me x>-2
hope this helped :)

The answer is = 5/2 x 15/2

Answers

Answer:

I think the answer is 5/2 x 15/2.

Answer:

75/4

But as a mixed Number: 18 3/4

Let me know if I'm wrong.

Please make brainliest.

Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home, after 15 minutes Ye is 2 miles from home. Which equation models his distance from home y, in terms of minutes, x?

Answers

Answer:

[tex]y = -\frac{1}{5}x + 5[/tex]

Step-by-step explanation:

Given

[tex]5\ minutes = 4\ miles[/tex]

[tex]15\ minutes = 2\ miles[/tex]

Required

Determine the equation

y represents distance

x represents time

So, the given parameters can be modeled (x,y) as:

[tex](x_1,y_1) = (5,4)[/tex]

[tex](x_2,y_2) = (15,2)[/tex]

First, we need to determine the slope of the function.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2 - 4}{15 - 5}[/tex]

[tex]m = \frac{-2}{10}[/tex]

[tex]m = -\frac{1}{5}[/tex]

The equation can be determined using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = -\frac{1}{5}[/tex]

[tex](x_1,y_1) = (5,4)[/tex]

[tex]y - y_1 = m(x - x_1)[/tex]

becomes

[tex]y - 4 = \frac{-1}{5}(x - 5)[/tex]

Open bracket

[tex]y - 4 = -\frac{1}{5}x + 1[/tex]

Solve for y

[tex]y = -\frac{1}{5}x + 1 + 4[/tex]

[tex]y = -\frac{1}{5}x + 5[/tex]

24 for 4 quarts
find the rate​

Answers

Answer:

UNIT CONVERSION FACTOR. Length ... 1 gallon = 4 quarts or or or or ... 24 hr. 1 week. 7 days. 7 days. 1 week. 8 fl oz. 1 cup. 1 pt. 2 cups. 2 pts. 1 qt. 1 cup.

Quarts. Gallons. 5 Gallons. 24 oz. Trigger Spray. Bottle. To make a quart of solution use ... concentrate. Dilution. Ratio. Add this amount of concentrate. 1:4. 6.5 oz. 1:4 ... When mixing cleaners, you may find it helpful to fill your container with the.

Step-by-step explanation:

Stuffed animals each weighing 1/4 pound are on a scale.the scale shows 1-1/2 pounds how many stuffed animals are on the scale?

Answers

Answer:

6

Step-by-step explanation:

if its 1&1/2 then it would be 6

Answer:

6 stuffed animals!

Step-by-step explanation:

This is the answer because: 1/4+1/4=1/2

and, 1/4+1/4+1/4+1/4=1 cup! put them together and you get your answer :D

Anyone with the answers to unit 1 Geometry basics homework 5 angle relationships

Answers

Answer:

Step-by-step explanation:

1) x + 65 = 90

           x = 90 -65

           x = 25

2) x + 51 = 180    {Linear Pair}

         x = 180 - 51

         x = 129

3)  y = 107    {Vertically opposite angles are equal}

    x + 107 = 180   {linear pair}

             x = 180 - 107

             x = 73

z = x    {Vertically opposite angles are equal}

z = 73

4) If sum of two angles is 180,, then they are called supplementary.

one angle = 13

It's supplement = 180 - 13

                         = 167

5)  If sum of two angles is 90, then they are called complementary.

one angle = 38

It's complement = 90 - 38

                         = 52

6) ∠1 + ∠2 = 180

5x + 9 + 3x +11 = 180  {Combine like terms}

 8x + 20  = 180

            8x = 180 -20

            8x = 160

              x= 160/8

x = 20

∠1 = 5x + 9

   = 5*20 +9

   = 100+9

    = 109

∠2 = 3x +11

    = 3*20 +11

   = 60 +11

   = 71

7) Vertically opposite angles are equal

            ∠2 = ∠2 1

  20x - 14  = 17x + 1

20x - 17x -14 = 1

         3x - 14 = 1

               3x =1 +14

              3x = 15

                x = 15/3

               x = 5

∠2 = 20x - 14

     = 20*5 - 14

    = 100 - 14

   =  86

8) ∠K + ∠L = 90

3x +3 + 10x - 4 = 90   {Combine like terms}

            13x  -1 = 90

                 13x = 90 + 1    

                     x = 91/13

                     x = 7

∠K = 3x + 3

    = 3*7 + 3

    = 21 +3

    = 24

∠L =  10x - 4

    = 10*7 -4

    = 70 - 4

    =   66

How do I solve this algebraically?
2-6lnx= 10

Answers

Answer:

Work it like a normal algebra problem to get ln x on one side. Then use a calculator or log tables.

Explanation:

Until you get to the actual logarithm the math is the same as for any algebra equation.

2

6

×

ln

(

x

)

=

10

;  

6

ln

(

x

)

=

8

;  

ln

(

x

)

=

(

4

3

)

NOW we take the antilog, inverse, or exponential of both sides:

e

ln

(

x

)

=

e

(

4

3

)

;  

x

=

0.264

CHECK:

2

6

×

ln

(

x

)

=

10

;  

2

6

ln

(

0.264

)

=

10

2

6

(

1.33

)

=

10

;  

2

(

8

)

=

10

;  

10

=

10

CORRECT!

EMERGENCY! Please give me the correct answer!​

Answers

Answer:

1/49 is the answer

Step-by-step explanation:

The function graphed below represents the altitude in feet, y, of a passenger airplane during descent after 3 minutes.
y
35.000
PASSENGER PLANE ALTITUDE
30.000
25.000
ALTITUDE
(FEET)
20.000
15.000
10.000
S000
10
15
TIME
(MINUTES)
Which feature of the graph shows the point at which the plane ends its descent?
O x-intercept
O y-intercept
Orange
O slope

Answers

Answer:I'm pretty sure it's Slope

Step-by-step explanation: The line is pointing downwards

Answer:

x- intercept

Step-by-step explanation:

that is where the plane is no longer descending

Find the price of an item that costs $257.50 and has a tax of 5.5%

Answers

Answer:

$271.66

Step-by-step explanation:

Is -12 divided by -5 a rational number or irrational

Answers

Answer:

Rational

Step-by-step explanation:

Hope this helps!!

Any terminating decimal is a rational number. 2.4=2 4/10 or 24/10 which reduces to 12/5 To integers represented

PLEASE HELP ASAP!! i will GIVE BRAINLIEST IF UR RIGHT HELP MEeeEEEEeeeeEEE

Answers

Answer:

6

Step-by-step explanation:

when x=1, then y = ?​

Answers

Answer: -2

Step-by-step explanation:

Look for 1 on the x-axis and put your finger on it.

Move your finger down until it hits a point on the line.

Look to the left to see which number on y-axis corresponds with the point.

The number is the answer.

(1, -2)

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