Answer:
The value of x is -3.
Step-by-step explanation:
To find x, we have to put everything in base 6 and continue to simplify. Since we know that 216 is 6^3, we can replace that.
6^x = 1/216
6^x = 1/(6^3)
Now, when there is a power in the denominator, we know we can move it to the numerator by making it negative. We can do that to get the bases to match.
6^x = 1/(6^3)
6^x = 6^-3
Now that they are both put in simple base 6 systems, we can just eliminate the bases and assume that the powers are equal. This lets us know that x = -3.
Answer:
1/15
Step-by-step explanation:
This is probably too late but I'll do it anyway.
There are 10 cards in all.
of the 10, 3 are green.
So your chance of drawing the first green is 3/10
Now you have 9 cards in total left.
Two of them are green
Your chance of drawing a green card again is 2/9
Your total chance of drawing 2 green cards is
2/9 * 3/10 = 6/90
2/9 * 3/10 = 1/15
Answer:
Step-by-step explanation:
18d + 12
The greatest common factor is 6, So we need to factor out 6
=> 6 ( 3d + 2 ) [Distributive property has been applied and this is the simplest form]
Based on the cost of the calculator, the discount, the shipping fee, and the tax, the total cost of the purchase was<u> a. $80.07</u>
The cost of the calculator was:
<em>= Cost of calculator x ( 1 - discount)</em>
= 83 x ( 1 - 15%)
= $70.55
The sales tax would be:
= 70.55 x 4.5%
= $3.17
The total cost would be:
<em>= Cost + Sales tax + Shipping fee</em>
= 70.55 + 3.17 + 6.35
= $80.07
In conclusion, the total is $80.07.
<em>Find out more on such at brainly.com/question/11239587. </em>
The length is 10.
Since the two points share the same y-coordinate, the segment rt is horizontal.
This means that the length of the side is simply the difference (in absolute value) between the x coordinates of the two points.
So, we have
