Answer:
Step-by-step explanation:
a.
4 people can be selected in ways=12 P4=12×11×10×9=11880
b.
4 women can be selected in ways=7P4=7×6×5×4=840
c.

The price of the Xbox One after tax is $265
<h3><u>
Solution:</u></h3>
The price of a Xbox one is $250
The tax on Xbox one is 6%
Now, the tax of 6% on 250 is calculated as follows:-

So, the tax on Xbox one is $15
The total price of box including tax can be calculated by adding price of box and tax on box
<em>Total price of Xbox after tax = actual price of the Xbox One + Tax on the Xbox One
</em>
= $250 + $15
= $265
Hence, the price of the Xbox One after tax is $265
Answer:
45
Step-by-step explanation:
x + 3x = 180
Combine like terms : 4x = 180
180/4 = 45
Answer:
(x-5)² + y² = 4
Step-by-step explanation:
formula of circle: (x-h)² + (y-k)² = r² where (h,k) is coordinate of center and r is radius
center: (5 , 0) r = 2
Equation: (x-5)² + y² = 4
Answer:
<u>XZ is longer than XY</u>
Step-by-step explanation:
First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.
(1, -1) and (-5, -5)
-5- -1 = -4
-5-1 = -6
-4^2+-6^2 = c^2
16+36 = c^2
52 = c^2
7.21110255 = c
So, the length of XZ is 7.21110255 units long
(1, -1) and (8, -2)
8-1 = 7
-2--1 = -1
7^2+-1^2 = c^2
49+1 = c^2
50 = c^2
7.07106781 = c
So, the length of XY is 7.07106781 units long.
<u>XZ is longer than XY</u>