The number of ants in his farm after 12 weeks is 218.
Step-by-step explanation:
Step 1:
It is given that there are 15 ants initially and the ant population increases by 25% each week.
This is an exponential rate of increase that can be modeled by the following equation:
Number of ants after n weeks = Initial number of ants * 
Step 2:
Rate of increase = 25% = 25 / 100 = 0.25
Number of weeks = 12
Number of ants after 12 weeks = 15* 
= 218.27 (rounded off to 218)
Step 3:
Answer:
The number of ants in his farm after 12 weeks is 218.
The equation is 
.
1/2 is equivalent to 4/8, and 2 1/8 is equal to 17/8. (two full sets of 8 + 1 = 8 + 8 + 1, or 17)
The new equation is 
. Subtract the numerators.
17 - 4 = 13 or 13/8
The improper fraction 
simplifies to 
.
<h2>Answer:</h2>
Hope this helps :)
Hey there!
39 = - u / 6
MULTIPLY 6 to BOTH SIDES
39(9) = (-u / 6)(6)
CANCEL out: the RIGHT side
KEEP: the LEFT side because it helps solve for the u-value
NEW EQUATION: -u = 234
DIVIDE -1 to BOTH SIDES
-1u / -1 = 234 / -1
CANCEL out: -1 / -1 because it gives you 1
KEEP: 234 / -1 because it gives you the result of the u-value
NEW EQUATION: u = 234 / -1
SIMPLIFY IT!
u = -234
Therefore, your answer is: [u = -234]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
This should be parallel.
Step-by-step explanation:
Two lines are said to be parallel only if their slope matches. They are said to be perpendicular only if the slopes are negative reciprocals.
Here, you should put both equations in slope intercept form which is y=mx+b. The letter "M" represents the slope of both equations.
2y-6=3x+4 turns into 2y=3x+10 after adding 6 and into y=3/2x+5 after dividing the equation by 2. The slope for this equation is 3/2.
8y=12x+8 must be divided by 8 to be in slope intercept form. This equation becomes y=3/2x+1. Here the slope is also 3/2.
The slopes for each equation match making these lines parallel.
I would say the answer would be 105
