Answer:
The constraints are
and 
Step-by-step explanation:
Let
x ----> represent the number of male birds
y ----> represent the number of female birds
we know that
The flock needs to have exactly three times more females than males to thrive
so
----> equation A
The zoo only has room for a maximum of 20 male birds
so
----> inequality B
we know that
The maximum number of male birds is 20
For x=20
substitute in the equation A
so
The maximum number of female birds is 60
so
----> inequality C
therefore
The constraints are
and
35% chance because the company made 150 bags
Let's say the number of days library book is late is X, and the total fee is Y.
Liability charges $0.30 dollars as a fee for being 1 day late,
For being 1 day late, fee charge is: 1* $0.30
So, for X days the charge would be: X*$0.30.
Total charge for being X days late is Y, Which means: Y= 0.30 * X.
Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X
Option
one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution
because the value of number of days can not be negative and in option
one and two, value of days -3 and -2.5 is negative.
Option
three(4.5, 1.35) can not be correct because library charges fee for a
full day so the number for days would be a whole number. Library would
not charge for 4.5 days, they would either charge of 4 days or 5 days
because 4.5 is not an whole number.
Option four(8, 2.40) is the correct answer because it satisfies our equation;
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40.
Fourth option (8, 2.40) is the only viable solution to this question.
Answer:
Step-by-step explanation:
<u>Given number:</u>
<u>Prime factors of 19683:</u>
- 19683 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^9
<u>Cube root:</u>
The answer is
C' = (0,3)
good luck
