The tax rate on Harriet Walker's $80,000 vacation home is 20 mills. The property is assessed at full value. How much will Harriet Walker pay in taxes this year?

Answers

Answer 1

Answer: Harriet should pay c.) $1,600

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What do I do to figure out this problem:
3x+8=26+x

Answers

3x + 8 = 26 + x

The first thing you need to do is understand what you're looking for ...
what a 'solution' means, what it looks like, and how you even know
when you have it. I'm not sure you're there yet.

The 'answer' or the 'solution' to the problem is a number. It's the number
that 'x' must be in order for that line at the top to be a true statement. There's
only one possibility.

To find it, you can do anything you want to either side of the problem, as long as
you do exactly the same thing to the other side too. With that ability, here's how
to 'figure out the problem', and find the answer:

The original problem: 3x + 8 = 26 + x

Subtract 8 from each side:

3x = 18 + x

Subtract 'x' from each side:

2x = 18

Divide each side by 2 :

x = 9 .

That's what the answer looks like, and that's what the answer is.

' 9 ' is the ONLY number you can write in place of 'x' in the problem,
and have the problem read true.

I'll show you what I mean. Let's take the original problem

3x + 8 = 26 + x

and let's write ' 2 ' wherever we see 'x' :

3 (2) + 8 = 26 + 2

3 (2) means 3 times 2, and that's 6 .
So now we have

6 + 8 = 26 + 2

Do the addition on each side, and we have

14 = 28 .

That's nonsense. 14 is not equal to 28 . The reason that happened
is because we put the wrong number in place of 'x' . When we put the
correct number in place of 'x', the left side will be equal to the right side.
To 'figure out the problem' means to find out what that number must be.
For this particular problem, it's 9 .

3x+8=26+x
Most important rule in algebra, do what you did on one side to the other when simplifying equations
So using this rule ∧ just do exactly what is says. First subtract 8 from the side with the 3x and then subtract onto the 26. Now you have 3x =18 + x. Now just subtract x from the side with the 18 and then subtract it to the side with the 3x, getting 2x = 18, now just divide by 2 on both and get x = 9. That's your answer

Write an equation that is perpendicular to the line y = 2x + 13?

Answers

An equation can't be perpendicular to a line, but the graph of the equation can.

When that happens, we recall that the slopes of perpendicular lines are negative reciprocals.

One line is the graph of [ y = 2x + 13 ]. The slope of the line is 2 .
So the slope of a line perpendicular to it must be -1/2 .

The equation of a line perpendicular to it is: y = (-1/2 x) plus (any number).

The y-intercept of the perpendicular line doesn't matter. Only its slope does.

$k:\ y=m_1x+b_1\ \ \ and\ \ \ l:\ y=m_2x+b_2\n\nk\perp l\ \ \ \Leftrightarrow\ \ \ m_1\cdot m_2=-1\n------------------------\n\nk:\ y=2x+13\ \ \ \ and\ \ \ \ l:\ y=m_2x+b_2\n\n2\cdot m_2=-1\ \ \ \Leftrightarrow\ \ \ m_2=- (1)/(2) \n\nl:\ y=- (1)/(2) x+b_2\ \ \ and\ \ \ b_2\ \in\ R\n\nfor\ example:\n\ny=- (1)/(2) x,\ \ \ y=- (1)/(2) x+5 (1)/(7) ,\ \ \ y=- (1)/(2)x - √(13)\ ,\ ...$

If I have the height and volume of a cylinder, how do I find the radius? or diameter?

Answers

If you have the volume, that's a pretty good giveaway that you ought to use
the formula for the volume of a cylinder, since it involves all the other things ...
the things you're given, and the things you need to find. If you know the formula
for the volume of a cylinder, you can whip out the answer in a second. If you don't
know the formula, then you are toast.

Volume of a cylinder = (pi) (radius)² (length or height)

Divide each side of the equation by (pi) x (height) and you have

(Radius)² = Volume / (pi x height)

You HAVE volume and height, so you can use this equation to calculate
the radius. Once you have that, if you need the diameter, it's just double
the length of the radius.

That's how.

$V=\pi r^2h\n r^2=(V)/(\pi h)\n r=\sqrt{(V)/(\pi h)}$