Let n be the amount of time it takes william to cut the lawn. Then Shelly takes
n-2 hours. So:
1/n+1/n-2=1/3
3(n-2)+3n=n²-2n
6n-6=n²-2n
n²-8n+6=0
Using the quadratic formula, we get a positive value of 7.1623 hrs as the amount of time william takes working alone, and 5.1623 as the amount of time Shelly takes working alone
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Short answer: No
Explanation: if you bring the fractions down as low as possible, the first bag has a 1 in 4 chance of getting a red marble. The 2nd bag can't be brought down anymore because 26 and 7 do not share any common divisors.
Step 1: Line up the equations so that the variables are lined up vertically.
Step 2: Choose the easiest variable to eliminate and multiply both equations by different numbers so that the coefficients of that variable are the same.
Step 3: Subtract the two equations.
Step 4: Solve the one variable system.
Step 5: Put that value back into either equation to find the other equation.
Step 6: Reread the question and plug your answers back in to check.
476/2 = 238
238+94 = 332
238-94 = 144
332 seniors voted for the winner
Answer:
C
Step-by-step explanation:
The Hypotenuse is y
The side opposite the given angle (60o) is 12.
You must use one of the trig functions to relate the angle, the side opposite and the hypotenuse.
It turns out that the function you need to use is the sine.
angle = 60o
Side opposite = 12 cm
hypotenuse = h = ???
Sin(60o) = opposite / hypotenuse multiply both sides by the hypotenuse.
hypotenuse * sin(60o) = side opposite
Divide by sin(60o)
hypotenuse = side opposite / sin(60)
hypotenuse = 12/sin(60)
Sin(60) radical form = sqrt(3)/2
hypotenuse = 12 // sqrt(3)/2
hypotenuse = 24 // sqrt(3) Rationalize the denominator.
hypotenuse = 24 * sqrt(3) // ( (sqrt(3)*sqrt(3) )
hypotenuse = 8 sqrt(3)
C
