3x+3y+6z=9
x+3y+2z=5
3x+12y+12z=18
Step 1: use Eq 2 to solve for x
x+3y+2z=5
x= -3y-2z+5
Step 2: Solve for y unsing Eq 1
3x+3y+6z=9
3y= -3x-6z+9
y= -x-2z+3
Step 3: plug in x= -3y-2z+5 to solve for the value of y
y=-x-2z+3
y= (-1)(-3y -2z +5) - 2z+3
y= 3y+2z-5- 2z+3
-2y= -2
y=1
Step 4: plug y= 1 into the x= equation
x= -3y-2z+5
x= -3(1)-2z+5
x= -2z+2
Step 5:Plug y= 1 and x= -2z+2 into the 3rd equation to solve for z
3x+12y+12z=18
12z= -3(-2z+2)-12(1)+ 18
12z= 6z - 6 - 12 +18
6z= -18+18
6z=0
z=0
Step 6: Plug z in to solve for x
x=-2z+2
x= (-2)(0)+2
x= 2
ANSWER:
x,y,z = 2,1,0
answer choice C
Answer:
0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
Step-by-step explanation:
We solve this question treating these probabilities as Venn sets.
I am going to say that:
Event A: Requesting automatic transmission
Event B: Requesting built-in GPS
90% of all buyers request automatic transmission
This means that 
82% of all buyers request built-in GPS
This means that 
77% of all buyers request both automatic transmission and built-in GPS.
This means that 
What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
This is
, which is given by:

So

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
Answer:
The length of the statue's arm is<u> 26.22 ft.</u>
Step-by-step explanation:
Let the length of the statue's arm be 'x'.
Given:
Height of statue is, 
Height of male is, 
Length of the male's arm is, 
Now, as the size of Sam Houston's statue is proportional to that of an adult male, therefore, their heights and arm lengths will also be in proportion. So,

Now, plug in the given values and solve for 'x'.

Therefore, the length of the statue's arm is 26.22 ft
Answer: 24 pistachios cupcakes.
Step-by-step explanation:
We know that:
They recently sold 6 pistachio cupcakes and 8 other cupcakes.
Then we can model this with the ratio 6:8
This means that for each 6 pistachio cupcakes sold, they also sell 8 of another type of cupcakes.
Whit this info, if they sell 56 cupcakes, how many of them will be pistachio cupcakes?
Using the ratio above, we must find a number N such that:
N*6 + N*8 = 56.
N*(6 + 8) = 56
N*14 = 56
N = 56/14 = 4.
This means that:
out of the 56 cupcakes, 4*6 = 24 are pistachios cupcakes
4*8 = 32 are other cupcakes.
Then you should expect that 24 out of the 56 cupcakes are pistachios cupcakes.
If you are asking how may yards are in 36 feet, I can help you on this!
There are 3 feet in a yard, so to find this out, you need to divide 36 by 3.