Answer:
9 1/3
Step-by-step explanation:
Make 2/3 , 1/2 , & 1/6 have the same denominator. 6 is the least common multiple for all 3 fractions.
2/3 gets multiplied by 2/2
1/2 gets multiplied by 3/3
1/6 stays the same
2/3 becomes 4/6
1/2 becomes 3/6
1/6 stays 1/6
Follow the order of operations from the original equation.
4/6 - 3/6 = 1/6 then 1/6 + 1/6 = 2/6
6 - 1 = 5 then 5 + 4 = 9
Simplify 2/6 to 1/3
Remember to add 1/3 back to 9 making it 9 1/3
C multiply 1/2 by 10 and 1/5 by 2
Answer:
90720 ways
Step-by-step explanation:
Since there are 9 letters, there are 9! ways to arrange them. However since there are repeating letters, we have to divide to remove the duplicates accordingly. There are 2 ‘s’ and 2 ‘i’ hence:
Number of way to arrange ‘dissipate’ = 9! / (2! x 2!) = 90720 ways
Hence there are 90720 ways to have the number of dissipate in the letter.
Given:
Current revenue = $6000
<span>R(f)= -100f^2 + 400f + 6000
where f is a whole number of $5 fee increases
We are told to find f, when R(f) </span><span>< 6000
Since </span>R(f)= -100f^2+400f+6000
R(f) < 6000 ⇒ -100f^2+400f+6000 < 6000
Subtract 6000 from both sides
-100f^2 + 400f + 6000 - 6000 < 6000 - 6000
-100f^2 + 400f < 0
⇒ 400f - 100f^2 < 0
Divide the equation by 100
400f/100 - 100f^2/100 < 0/100
4f - f^2 < 0
Add f^2 to both sides of the equation
4f - f^2 + f^2 < 0 + f^2
4f < f^2
Divide both sides by f
4f/f < (f^2)/f
4 < f
⇒ f > 4
⇒ f ≥ 5
Therefore, <span> for 5 or more numbers of $5 fee increases, the revenue from fees will actually be less than its current value.</span>
Answer:
letter G
Step-by-step explanation:
