Answer:
2%
Step-by-step explanation:
After 4 cards are drawn at random, that leaves 48 cards. 1 divided by 48 is .0208.
Hence, 2%
Answer:
The area is 452.39
The Circumference is 75.36
Step-by-step explanation:
Answer:
Thus every real number other than zero is either positive or negative, while zero itself is not considered to have a sign. Positive numbers are sometimes written with a plus sign in front, e.g. +3 denotes a positive three.
Answer: <span>A. about 30.8 miles
</span><span>
The x and y distance from the campsite at A (3, – 5), and the next checkpoint station is located at B (–10, 1) would be:
Xab= Xb- Xa= -10 - 3= -13
Yab= Yb- Ya= 1- (-5)= 6
The resultant distance would be
c^2= a^2+b^2
c^2= (-13)^2 + (6)^2
c= </span>√(169+36)= √205
c=14.32
If each unit in the coordinate plane represents 2.15 miles, the true distance= 14.32*2.15 miles= 30.78 miles
Answer: D
Step-by-step explanation:
To find the difference, we want to make sure both denominators are equal.
![\frac{(6x)(2x-3)}{(6x)(3x^2)} -\frac{(3x^2)(x+2)}{(3x^2)(6x)}](https://tex.z-dn.net/?f=%5Cfrac%7B%286x%29%282x-3%29%7D%7B%286x%29%283x%5E2%29%7D%20-%5Cfrac%7B%283x%5E2%29%28x%2B2%29%7D%7B%283x%5E2%29%286x%29%7D)
Now that the denominators are equal, we can distribute and multiply out.
![\frac{12x^2-18x}{18x^3} -\frac{3x^3+6x^2}{18x^3}](https://tex.z-dn.net/?f=%5Cfrac%7B12x%5E2-18x%7D%7B18x%5E3%7D%20-%5Cfrac%7B3x%5E3%2B6x%5E2%7D%7B18x%5E3%7D)
With the fractions multiplied out, we can actually put it into one large fraction.
![\frac{12x^2-18x-3x^3-6x^2}{18x^3}](https://tex.z-dn.net/?f=%5Cfrac%7B12x%5E2-18x-3x%5E3-6x%5E2%7D%7B18x%5E3%7D)
Let's subtract the top expression.
![\frac{-3x^3+6x^2-18x}{18x^3}](https://tex.z-dn.net/?f=%5Cfrac%7B-3x%5E3%2B6x%5E2-18x%7D%7B18x%5E3%7D)
This may seem like our final answer, but we can actually factor out an 3x in the numerator and denominator.
![\frac{(3x)(-x^2+2x-6)}{(3x)(6x^2)}](https://tex.z-dn.net/?f=%5Cfrac%7B%283x%29%28-x%5E2%2B2x-6%29%7D%7B%283x%29%286x%5E2%29%7D)
With the 3x factored out, they cancel out because 3x/3x=1.
Our final answer is:
![\frac{-x^2+2x-6}{6x^2}](https://tex.z-dn.net/?f=%5Cfrac%7B-x%5E2%2B2x-6%7D%7B6x%5E2%7D)