For 1 - 12y < 3y+1; y > 15
For 2 - 6y > 4 + 4y; y < -0.2
The given inequalities are:
1 - 12y < 3y + 1
2 - 6y > 4 + 4y
For 1 - 12y < 3y + 1:
1 - 12y < 3y + 1
Collect like terms
-12y - 3y < 1 - 1
-15y < 0
Multiply both sides by -1
-1(-15y) > 0(-y)
15y > 0
Divide both sides by 15
y > 0/15
y > 15
For 2 - 6y > 4 + 4y
Collect like terms
-6y - 4y > 4 - 2
-10y > 2
Multiply both sides by -1
-1(-10y) < 2(-1)
10y < -2
y < -2/10
y < -0.2
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Answer:
C. Dividing by 4 is the inverse of multiplying by 4.
Step-by-step explanation:
We have been given 4 options. We are asked to choose the option that represents inverse relationship.
We know that inverse of addition is subtraction and vice versa.
We also know that inverse of multiplication is division and inverse of division is multiplication.
Upon looking at our given choices, we can see that option C is the correct choice because we are multiplying and dividing by same number 4. Upon dividing and multiplying a quantity by 4, we will get the same quantity.

Therefore, dividing by 4 is the inverse of multiplying by 4.
Answer:
Carna has a lower ratio of paper clips to elastic bands
0.2
Step-by-step explanation:
step one
given data
In Carna's desk drawer
number of paper clips 16
number of elastic band= 20
ratio of paper clips to elastic bands
16:20= 1/5 =0.2
Noelia's office supply tray
number of paper clips 10
number of elastic band= 13
ratio of paper clips to elastic bands
10:13= 0.76
Carna has a lower ratio of paper clips to elastic bands
0.2
The answer is (10,2),(14,-1), and (8,1)
Answer:
c) 50 degrees
Step-by-step explanation:
360-260 = 100 degree central angle
inscribed angle = 1/2 (100) = 50