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

If the area of the base is 24 cm2, how would you
calculate the volume?
A V = 24h
B V = n(24)?h
CV = (24)
DV = (24)h

Answers

Answer:

AV and DV both are correct

can someone help me find the values of y and z?

Answers

Answer:

y= 134.5 and z= 44.5 :)

Step-by-step explanation:

6z-87=180

6z=267

267/6=44.5

180-44.5=134.5

Answer:

y=99, z=81

Step-by-step explanation:

the angle above y is corresponding to 81, so if you substitute 81 in that place then it'll be angles on a straight line;

81 + y =180

(add like terms)

y =180 - 81

=99.

thus, y is 99. Once you do that, y and z are on a straight line so you solve for x using the formula for angles on a straight line;

y + (6z - 87)

(substitute y with 99)

99 + 6z - 87 =180

6z + 12 =180

(add like terms)

6z =180-12

6z =168

(divide both sides by six)

6z /6= 168/6

z = 28

(then you solve everything that was in the bracket for z)

(6z - 87)

(substitute z with 28)

=6 × 28 - 87

=168 - 87

=81

therefore, y =99 and z =81

Sienna is saving for an MP3 player that costs $200. She has $50 already saved in the bank and is going to save $25 each month.

Answers

Answer:

what's the question

Step-by-step explanation:

I guessing the question is how many months so I would say six because you divide 200. By 25 and get eight and since 50 is worth two months then you take away two from eight and you get 6

GIVING BRAINIEST
what do I put in the box

Answers

Answer:

You actually have it right 9.

Step-by-step explanation:

I got a 100% on the quiz!

Mark me BRAINLIEST!!!

write the following ratio in their simplest form 25:75​

Answers

Answer:

1/3 :)

Step-by-step explanation:

What are the x-intercepts of the graph of the function y=6tan (x/2)-3? Use your graphing calculator to estimate
the answer.

(0.9273 +17,0), where n is any integer

(0.9653 +12,0), where n is any integer

(0.9273 +2n7,0), where n is any integer

(0.9653 +217,0), where n is any integer

Answers

Answer:

C on edge

Step-by-step explanation:

The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

the function is,

y=6tan (x/2)-3

we know that,

the x-intercepts of the graph of the function, we put y = 0

so, we get,

6tan (x/2)-3 = 0

or, tan (x/2) = 3/6

or, tan (x/2) = 1/2

or, x/2 = 0.4636

The period of tangent is π, so we have,

x/2 = 0.4636 + nπ

or, x =  (0.9273 +2nπ)

Hence, The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.

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brainliest if right!!!

Answers

Answer:

The answer is Letter A.

Step-by-step explanation:

Find the value of x.

[tex]2x + 50 = x + 76 \\ 2x - x = 76 - 50 \\ x = 26[/tex]

Substitute x to the equation for angle 2.

[tex]2x + 50 \\ = 2(26) + 50 \\ = 52 + 50 \\ = 102[/tex]

#CarryOnLearning

Answer:

A) 102

Step-by-step explanation:

Alternative Exterior Theorem: If two parallel lines are cut by a transversal, then the pairs of alternative exterior angles are congruent.

Because of this theorem, we know that <2 and <8 are congruent, so we can set these equations to be equal to each other, like so:

2x + 50 = x + 76

Then, we need to find the x value, so solve from there.

2x + 50 = x + 76

x + 50 = 76   [Subtract x from both sides of the equal sign]

x = 26   [Subtract 50 from both sides of the equal sign]

So now that we have our x value, all we have to do is plug in that value to the <2 equation.

2x + 50

2(26) + 50

52 + 50

102

Hope this helps! I apologize if I get it incorrect,

IF YOU GET THIS RIGHT (First )YOU GET BRAINLIEST AND FIVE STAR RATING AND THANKS

A cowboy rides to the town on Friday. Three days later, he leaves on Friday. How is this possible?

Answers

Answer:

The name of the horse is Friday.

Step-by-step explanation:

Cowboy and his Horse !

Identify ZABF by clicking and dragging the small yellow dots to shade the
angle.

Answers

Clearly it is 90 degrees angle

Please help!!!
In 1/4 hour , A baker decorates 7/8 of a cake.

Answers

my geuss is c or d -i hope this helps

Solve for x.
y=(2 + x)m

Answers

Answer:

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

Step-by-step explanation:

Given

y = (2 + x)m ← distribute parenthesis by m

y = 2m + mx ( subtract 2m from both sides )

y - 2m = mx ( divide both sides by m )

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

Sam made a 70% on his test. If there were 80 questions on the test, how many did he get right?

Answers

Answer: He got 56 questions right.

Step-by-step explanation:

Answer:

Sam got 56 questions correct.

Step-by-step explanation:

If there were 80 questions on the test, sam got 56 correct in order to get a 70%.

To find this, you must find 70 percent of 80 questions. You first must turn 70% into a decimal, making it 0.70. You multiply this decimal by the 80 questions on the test. You then get 56. Meaning they got 56 right. I hope this helps!

PLEASE HELP WORTH 25 POINTS, find a and b.

Answers

Answer:

a = 12     b = 30

Step-by-step explanation:

Help please within the next hour

Answers

the second one!! hope this helped!

Answer:

its the second choice x=-1+[tex]\sqrt{17}[/tex]

Step-by-step explanation:

help pls I'm not smart enough for this..​

Answers

Answer:

y = 1/2x, 2:1y = 5x, 1:5y= 1.5x, 16:24y = 3x, 1:3

Step-by-step explanation:

Number replaces with each corresponding value.

The number on the left is the x, and the number on the right of the colon is y.

Simply replace x and if you get the y, it is a match.

y = 1/2(2) = 1

y = 5(1) = 5

y = 1.5(16) = 16

y = 3(1) = 3

Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each
touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion. The team scored one
fewer 2-point conversions than extra kicks. The team scored 10 times during the game. How many touchdowns were
made during the game? Write and solve a system of equations to get your answer.

Answers

Answer:

Five touchdowns were made in the game

Step-by-step explanation:

Here, we want to know the number of touchdowns made during the game.

We proceed as follows;

Let the number of touch downs be x

So the total points earned through touchdowns is 6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So the total number of score times will be ;

x + y + y-1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

So;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So now solve simultaneously

From ii, y = 13 - 2x

Put this into i

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

x = -15/-3

x = 5

There are five touchdowns in the game

There are Five touchdowns were made during the game.

Here,

Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown.

After each touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion.

The team scored one fewer 2-point conversions than extra kicks. The team scored 10 times during the game.

We want to know the number of touchdowns made during the game.

What is system of equations?

A system of equations is a collection of two or more equations with a same set of unknowns.

Now,

Let the number of touch downs be x

So, the total points earned through touchdowns is;

6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So, the total number of score times will be ;

x + y + y - 1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

Hence;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So, now solve this;

From ( ii ), y = 13 - 2x

Put this into ( i )

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

x = -15/-3

x = 5

Hence, There are Five touchdowns were made during the game.

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List the domain and range of each function (1,-4),(2,-3),(3,-2),(4,-1)

Answers

Answer:

Domain are all x values

Range are all y values

Domain:(1,2,3,4)

Range:(-4,-3,-2,-1)

Domain (1,2,3,4)
Range(-1,-2,-3,-4)

Clark made four of his truck payments late and was fined four late fees the total change to his saving from late fees was -52 how much was one late fee

Answers

I am not sure but I think it's seven I actually don't know but I tried my best to figure it out I couldn't sorry

a go-karts top speed is 607,200 feet per hour what is the speed in miles per hour

Answers

Answer:

115

Step-by-step explanation:

5280 feet/mile

607200/5280=115

:>

Answer: 115 mph

Convert ft to miles

What is the value of x

Answers

Answer:

A,   38

Step-by-step explanation:

the 180 - 114 = 66, so the vertical angle is 66, x = 38, 38 x 2 = 76 + 38 + 66 = 180

Pls answer :(

I’ll appreciate!

Answers

Answer:

The answer would be 2.1 so it must be D

Step-by-step explanation: divide them

Help plskekekekeesmmsmxmxmxx

Answers

Answer:

1.8 mile i think but do the math cz it should be.

Brainliest if you get right

Answers

Answer:

14y + -3

Step-by-step explanation:

9y + 5y = 14y

-3 = -3

14y + -3

Which feature of the Earth is shown below and is created by farge amounts of in our core?

Answers

Answer:

C) Earth's Magnetic Field.

Step-by-step explanation:

Those lines are representing the magnetic pulls/fields that go around the Earth. Another clue that is given is the N and S, which represent North and South, which pertains to the north pole and south pole. These poles have a lot of magnetic fields around them.

Answer:

b MAntle convection currents

A rectangle has a width of x + 2 and a length of 2x - 1, with an area of 42 inches squared. Find the perimeter of the rectangle

Answers

Answer:

26 inches

Step-by-step explanation:

Area of rectangle

= length ×width

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

= 2x(x) +2(2x) -1(x) -2 (expand)

= 2x² +4x -x -2

= 2x² +3x -2

Given that the area is 42 inches squared,

2x² +3x -2= 42

2x² +3x -2 -42= 0 (-42 on both sides)

2x² +3x -44= 0 (simplify)

(x -4)(2x +11)= 0 (factorise)

x -4= 0 or 2x +11= 0

x= 4 or 2x= -11

x= -11/2 (*reject)

Length of rectangle

= 2(4) -1

= 8 -1

= 7 inches

Width of rectangle

= 4 +2

= 6 inches

Perimeter of rectangle

= 2(width +length)

= 2(7 +6)

= 2(13)

= 26 inches

*We reject x= -11/2 because the length and the width of the rectangle would be a negative number, which is not possible.

Someone help me please

Answers

Answer:

good luck

Step-by-step explanation:

Write the point-slope form of the line that passes through (-8, 2) and is perpendicular to a line with a slope of -8. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.

Answers

Answer:

y - 2 = 1/8(x+8)

Step-by-step explanation:

The slope of lines that are perpendicular are each other's opposite reciprocal.

so, the reciprocal of -8 = -1/8, then find the opposite of -1/8 which is 1/8.

Point-slope form : y - y1 = m(x - x1)

(x1,y1) = (-8,2)

so, y - 2 = 1/8(x+8) is our final answer!

Math question! Need help! :D

Answers

Answer:

3

Step-by-step explanation:

-21/-7 = 3

negative times negative or negative divided by negative is always positive

What is the value of the x-coordinate that is 9 units to the left of (4, -7)?

Answers

Answer:

-5

Step-by-step explanation:


Select all the lines that have a slope of 5/2.
Click Image to Draw:
A. A
ΤΑ
B
I
В. В
C.C
D. D
E. E
Explain Your Reasoning:

Answers

Answer:

A rate of 5/2 means that:

If we move 2 units to the right, we move 5 units up.

Let's see all the graphs, the easier way to know this is:

In any point of the line, move to the right 2 units.

Then from that point, move up until you meet again with the line, if you moved 5 units, then the slope is 5/2.

A) The slope is 5/2.

B) The slope is 4/2

C) the slope is 5/2

I can not see very well graphs E and D in the image.

E) may have a slope of 5/2, you should measure it.

D has not a slope of 5/2,  you can compare it with A and see that is totally different, so you can discard option D.

Lines A and C are having a slope of (5/2) and line E may have the slope of (5/2).

Step-by-step explanation:

Given information:

Line A,B,C,D and E having different slopes;

Now as we know that equation of the line is:

[tex]y=mx+c[/tex]

where, m is the slope of the line

Now, Also [tex]dy/dx=m[/tex]

Hence, the slope of the line can also be calculated according to that.

Now, as given in the graph:

Line A is having [tex]dy=10\; \text {and} \; dx =4[/tex]

Hence slope of line A

[tex]dy/dx(A)=5/2[/tex]

Similarly:

Line B is having slope of (4/2)

Line C is having slope of (5/2)

Line D is not having slope of (5/2)

And Line E may have the slope of (5/2).

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Other Questions
which is a endpoint of a ray Randi shovels and salts her neighbors' driveways and walkways to earn money during the winter months in her town near the Pocono Mountains. She charges $25 dollars per hour because the amount of time she spends shoveling and salting depends on the size of the driveway and walkway.Randi has to pay for the salt that she uses, which costs her $3.00 per job on average. She also saves $2.00 per job to cover the costs of replacement shovels as needed.Randi's profit is the total amount of money that she collects from a snow shoveling and salting job that takes t hours minus her costs.Randi earned a profit of $60.00 on her last snow shoveling and salting job. Write an equation that can be solved to find how many hours Randi spent shoveling and salting to earn a profit of $60.00.Write your answer in the form of an algebraic equation using the math editor. You do not have to solve the equation, but you will need to use your equation to complete the next test question. What is the slope of the graph? slope = -3slope = -1/3slope = 1/3slope = 3 Why have the schuylar sisters gone downtown ? I NEED HELP FAST NO MORE THEN 10 MINUTESTHE MATCH(this is the bolded paragraph)There never was a time when the world was without fire, but there was a time when men did not know how to kindle fire; and after they learned how to kindle one, it was a long, long time before they learned how to kindle one easily. In these days we can kindle a fire without any trouble, because we can easily get a match; but we must remember that the match is one of the most wonderful things in the world, and that it took men thousands of years to learn how to make one. Let us learn the history of this familiar little object, the match.Fire was first given to man by nature itself. When a forest is set on fire by cinders from a neighboring volcano, or when a tree is set ablaze by a thunderbolt, we may say that nature strikes a match. In the early history of the world, nature had to kindle all the fires, for man by his own effort was unable to produce a spark. The first method, then, of getting fire for use was to light sticks of wood at a flame kindled by natureby a volcano, perhaps, or by a stroke of lightning. These firebrands were carried to the home and used in kindling the fires there. The fire secured in this way was carefully guarded and was kept burning as long as possible. But the flame, however faithfully watched, would sometimes be extinguished. A sudden gust of wind or a sudden shower would put it out. Then a new firebrand would have to be secured, and this often meant a long journey and a deal of trouble.In 1827, John Walker, a druggist in a small English town, tipped a splint with sulphur, chlorate of potash, and sulphid of antimony, and rubbed it on sandpaper, and it burst into flame. The druggist had discovered the first friction-chemical match, the kind we use to-day. It is called friction-chemical because it is made by mixing certain chemicals together and rubbing them. Although Walker's match did not require the bottle of acid, nevertheless it was not a good one. It could be lighted only by hard rubbing, and it sputtered and threw fire in all directions. In a few years, however, phosphorus was substituted on the tip for antimony, and the change worked wonders. The match could now be lighted with very little rubbing, and it was no longer necessary to have sandpaper upon which to rub it. It would ignite when rubbed on any dry surface, and there was no longer any sputtering. This was the phosphorus match, the match with which we are so familiar.Which line from the bolded paragraph shows the value of the match? but there was a time when men did not know how to kindle fire it was a long, long time before they learned how to kindle one easily There never was a time when the world was without fire In these days we can kindle a fire without any trouble, because we can easily get a match Which of the following is NOT true about Nebuchadnezzar?He created a code of laws that were very strict.He created the Hanging Gardens for his wife.He went insane at the end of his life.He decorated the city with colored bricks and animal statues. Angela lives 0.6 mile from the park. It takes her hour to walk her dog to the park. How quickly are Angela and her dog walking in miles per hour? If u answer this i will give your answer a like and help with anything u need! Indicate which activities of Stockton Corporation violated the rights of a stockholder who owned one share of common stock. a. Paid the stockholder a smaller dividend per share than another common stockholder. b. Did not allow the stockholder to make decisions regarding hiring and firing employees.c. Rejected the stockholder's request to vote via proxy because she was home sick. d. The company did not provide all stockholders with timely financial reports. e. In liquidation, paid the common shareholder after preferred stockholders were already paid. Evaluate 1/6 + 2/3.3/185/61/51 1/6 Hi, I really need help ASAP!!! look at the images below: (there is 2 images per question) TEST1) ERROR ANALYSIS: Identify and correct the error in describing the transformation of the parentfunction. 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