Firstly, we can convert all of the fractions into percentages. To do this, we need to make the denominator of the fraction 100, and whatever we do to the denominator we must also do to the numerator.
5 x 20 = 100
1 x 20 = 20.
So Carl recieves 20/100 or 20% of the votes.
4 x 25 = 100
1 x 15 = 25
So Conroy receives 25/100 or 25% of the votes.
If we add these together and Gilda's 5%, we get 50%. Since there are 100% votes overall, we need to do 100 - 50 = 50.
Kyla receives 50% of the votes.
Person 1 takes 3 hour 10 minutes to complete 9 procedures
<em><u>Solution:</u></em>
From given question,
Person 2 takes 30 minutes per procedure
Person 1 writes internal operating procedures 3 times faster than Person 2
So we get, Person 1 takes 3 times faster than Person 2
Person 1 takes 10 minutes per procedure
But two of the procedures for Person 1 took an hour each
So person 1 takes 60 minutes each for two of procedures ( since 1 hour = 60 minutes )
<em><u>Calculate how long it took Person 1 to complete 9 procedures:</u></em>
So for first 7 procedures person 1 would take 10 minutes per procedure and for last two procedures person 1 would take 60 minutes per procedure
We know that,
1 hour = 60 minutes
Therefore,
190 minutes = 60 minutes + 60 minutes + 60 minutes + 10 minutes
190 minutes = 1 hour + 1 hour + 1 hour + 10 minutes = 3 hour 10 minutes
Therefore Person 1 takes 3 hour 10 minutes to complete 9 procedures
Answer:
--3 ±sqrt((-3)^2 -4(4)(-9))
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2(4)
Step-by-step explanation:
4x^2-5=3x+4
We need to get this in standard form to answer the question
Subtract 3x from each side
4x^2-3x-5=3x-3x+4
4x^2-3x-5=+4
Subtract 4 from each side
4x^2-3x-9 =0
a = 4
b = -3
c = -9
-b ±sqrt(b^2 -4ac)
---------------------------
2a
--3 ±sqrt((-3)^2 -4(4)(-9))
-------------------------------
2(4)
Let x = Amount invested at 2%
y = Amount invested at 9%
x + y = 34000 ×(-0.02)→ -0.02x - 0.02y = -680
0.02x + 0.09y = 2570 → 0.02x + 0.09y = 2570
add the equations 0.07y = 1890
divide by 0.07 both sides y = 27000
x = 34000 - 27000 = 7000
ANSWER:
Invested at 2%: $7000
Invested at 9%: $27000
Answer:
y=1/2x-4
Step-by-step explanation:
y-y1=m(x-x1)
y+3=1/2(x-2)
y+3=1/2x-1
y=1/2x-4
