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.

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]

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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,

Answer:

a = 12     b = 30

Step-by-step explanation:

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

Answer:

1/3 :)

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

Domain are all x values

Range are all y values

Domain:(1,2,3,4)

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

Answer:

good luck

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

-21/-7 = 3

negative times negative or negative divided by negative is always positive

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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Answer:

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

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.

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

Answer:

115

Step-by-step explanation:

5280 feet/mile

607200/5280=115

:>

Answer: 115 mph

Convert ft to miles

Answer:

The answer would be 2.1 so it must be D

Step-by-step explanation: divide them

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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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.

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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Answer:

AV and DV both are correct

Answer:

-5

Step-by-step explanation:

Answer:

14y + -3

Step-by-step explanation:

9y + 5y = 14y

-3 = -3

14y + -3

Answer:

what's the question

Step-by-step explanation:

Answer:

The name of the horse is Friday.

Step-by-step explanation:

Cowboy and his Horse !

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!

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!

Answer:

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

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

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

Answer:

You actually have it right 9.

Step-by-step explanation:

I got a 100% on the quiz!

Mark me BRAINLIEST!!!