1st card : 3 steps forward
2nd card: 3 steps back
3rd card: 4 steps back
4th card: 5 steps forward
5th card: 10 steps forward
6th card: 7 steps back
Total steps : 3 + 3 + 4 +5 +10 + 7 = 32
Answer: D) 32
Answer:
the answer to x = -1 would be x =-1, you are stating what x is, unless there is more to the question
We will see that the price of the bike helmet without the tax is $50
<h3>
How to find the original price?</h3>
Let's define P as the original price, this is the 100%.
We know that a tax rate of the 9% is equal to $4.50, then we can write two equations:
100% = P
9% = $4.50
We can take the quotient between these two equations and solve that for P, we will get:
(100%/9%)*$4.50 = P = $50
So the price of the helmet, without tax, is $50.
If you want to learn more about taxes, you can read:
brainly.com/question/14345924
Answer:
The answer for the missing side length is 16
Step-by-step explanation:
You have to use Pythagorean's Theorem ![a^2 + b^2 = c^2](https://tex.z-dn.net/?f=a%5E2%20%2B%20b%5E2%20%3D%20c%5E2)
is the hypotenuse, which is 20 in this case
is the bottom, which is 12
and you have to solve for ![b^2](https://tex.z-dn.net/?f=b%5E2)
So
![a^2 + b^2 = c^2](https://tex.z-dn.net/?f=a%5E2%20%2B%20b%5E2%20%3D%20c%5E2)
![12^2 + b^2 = 20^2](https://tex.z-dn.net/?f=12%5E2%20%2B%20b%5E2%20%3D%2020%5E2)
![b^2 = 20^2 - 12^2](https://tex.z-dn.net/?f=b%5E2%20%3D%2020%5E2%20-%2012%5E2)
![b^2 = 400 -144](https://tex.z-dn.net/?f=b%5E2%20%3D%20400%20-144)
This cancels out the exponent
![b = 16](https://tex.z-dn.net/?f=b%20%3D%2016)
That's the missing side length
Ok, so the best way to start off solving this would be to find the y intercept.
The y intercept is the point that y is on when x is at 0
So when x (the horizontal axis, left to right) is at 0 the y axis (vertical axis, top to bottom) is at 3
That gives this equation a y intercept of 3, and because it is positive it will be plus 3
next we'll solve for the slope, the slope can be found using them formula (y2-y1)/(x2-x1)
We can use any two points on the line. So we'll use the points; (0,3) and (2,4)
So we plug these points into the equation, and the equation looks like...
(4-3)/(2-0)
So 4-3= 1
and 2-0=2
We set the slope up in rise (y) over run (x)
So the slope is 1/2
1/2 is equivalent to half.
So the slope of the line is .5x or 1/2x
with a y intercept of 3
So the equation would look like
y=.5x+3
or
y=1/2x+3
Answer choice C matches the equation that we got.
So your answer is C