Answer:
x=1; y=2; z=3
Step-by-step explanation:
Rearrange for convince:
2y-4z+6x = -2
-4y+2z-3x=-5
-6y+3z+4x=1
Now we take to pairs and eliminate the same var.:
2y-4z+6x = -2 *2
-4y+2z-3x=-5
and
-4y+2z-3x=-5 *-3
-6y+3z+4x=1. *2
We get:
4y-8z+12y=-4
-4y+2z-3x=-5
= -6z+9x=-9
and
12y-6x+9x=15
-12y+6x+8x=2
= 17x=17
We now know x = 1, so z is:
-6z+9=-9
-6z=-18
z=3
Let’s grab the first formula and find y:
6+2y-12=-2
6+2y=10
2y=4
y = 2
Answer:
area of a circle πr^2
r = 10/2 r = 5
π5^2 = 78.5
area of the square length X width
7 x 7 = 49
78.5 - 49 = 29.5
shaded region = 29.5 square cm
The answer is 17 1/4 .Hope this helped.
Answer:
option 3
Step-by-step explanation:
Since definition of slope is:
the ratio:
explains the best (Ratio option 3)
Answer:
60 minutes
Step-by-step explanation:
Let the number of minutes be represented as x
For Plan A
Plan A charges $35 plus $0.25 per minute for calls.
$35 + $0.25 × x
35 + 0.25x
For Plan B
Plan B charges $20 plus $0.50 per minute for calls.
$20 + $0.50 × x
20 + 0.50x
For what number of minutes do both plans cost the same amount?
This is calculated by equating Plan A to Plan B
Plan A = Plan B
35 + 0.25x = 20 + 0.50x
Collect like terms
35 - 20 = 0.50x - 0.25x
15 = 0.25x
x = 15/0.25
x = 60 minutes.
Hence, the number of minutes that both plans cost the same amount is 60 minutes
