Answer:
x = 1, y = -2, z = 3.
Step-by-step explanation:
x + 2y + 2z = 3 A
2x -2y - z = 3 B
x - 2z = -5 C
If we add equations A and B we eliminate y:
3x + z = 6 E
Multiply E by 2 :
6x + 2z = 12 F
Adding C and F we get:
7x = 7
x = 1.
Plug this into equaton C:
1 - 2z = -5
-2z = -5 - 1 = -6
z = 3.
Now plugging x = 1 and z = 3 in equation A:
1 + 2y + 2(3) = 3
2y = 3 - 1 - 6 = -4
y = -2.
10/1 thats how you will get an improper fraction
We need the total count of persons = 10+12+12+15 = 49 persons
We need the count of the target group, female or teaching assistants
= (10+12) professors + 12 male teaching assistants
= 22+12
= 34 persons
Assuming equal probability of choosing anyone from the 30 persons, the
probability of choosing a professor or a male
= 34/49
(For probability calculations, try to keep a fraction for as long as you can, because fractions are exact. Decimal are frequently approximate, for example in this case, 34/49=0.693877551020...... = 0.694 approximately)
What are ya sayin
Step-by-step explanation:
Answer:
-4x + 12 = 20 is incorrect. she added 12 to 20 instead of subtracting 12 from both sides.
Step-by-step explanation:
It should have been, write problem
-4(x - 3) = 20
Use distributive property.
-4x + 12 = 20
subtract 12 from each side
-4x =8
divide each side by -4
x = -2
