'of' means mltilply
jane=2/9 of ben
ben=3/4
jane=2/9 of 3/4
jane=2/9 times 3/4=(2*3)/(9*4)=6/36=1/6 miles
Answer:
t = 5 seconds
Step-by-step explanation:
It is given that, the height h, in feet of a ball above the ground is given by :
Where t is in seconds
We need to find how long does it take the ball to hit the ground? When it hits the ground, its height will be equal to 0. So,
Neglecting negative time.
It means ball will take 5 seconds to hit the ground.
Answer:
The solution required per dosage is 3 mL and 9.175 mL of solution is required for the recommended dosage in a day.
Step-by-step explanation:
As the weight of the child is given as 27 lbs. Converting it to kgs as
1 kg =2.2042 lb
So 27 lbs=27/2.2042 kg
The weight of the kid in kg is 12.247 kg.
As the recommended dosage is 0.3 mg/kg/hour so for the weight of the kid the recommended dosage for the day is given as
Recommended dosage=0.3*12.247 =3.67 mg per day
As the concentration is given as 2 mg/5mL
So for each dose the solution is found as
Solution per dose is as Dose Value/Concentration=1.2/(2/5)=3 mL
So the solution required per dosage is 3 mL
Now for the solution required per day is given as
Solution per day is as =Dose Value/Concentration=3.67/(2/5)=9.175 mL
So 9.175 mL of solution is required for the recommended dosage in a day.
5x2-3x=25
Divide each term by 5:
x^2 - 3/5x = 5
Make a trinomial square of the left side by taking the square of half of the coefficient of x.
The coefficient of x is -3, so the square would be (-3/10)^2
Add that to both sides of the equation.
Now you have:
x^2 - 3/5x + (-3/10)^2 = 5 + (-3/10)^2
Simplify both sides:
x^2 -3/5x +9/100 = 509/100
Factor the trinomial:
(x-3/10)^2 = 509/100
Solve for x, , take the square root of both sides:
x-3/10 = +/-√509 / 100
Simplify the right side:
x-3/10 = +/-√509/10
Add 3/10 to both sides:
X = +/-√509/10 + 3/10 ( this is the exact form)
You can then find the decimal answer if needed.
Answer:
x=−2 or x=5
Step-by-step explanation:
