Short Answer: 18 minutes
Remark
The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.
Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1
S = 45 minutes
M = 30 minutes
Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour
Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work
job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t
Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2
1.3333 + 2 = 3.33333
3.3333 = 1 / t Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour
1 hour = 60 minutes
0.3 hours = x Cross Multiply
x = 60 * 0.3
x = 18 minutes
Answer working together it took them 18 minutes <<<<<
800,000+90,000+9,000+500+1
Answer:provides that the voter approval requirement would not apply where the General Plan amendment is necessary to comply with state or federal housing law, including, but not limited to, affordable housing requirements.
Step-by-step explanation:
the denominator cannot be zero, because the division by zero is not defined, therefore:
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Therefore the domain of (f o g)(x) is:
Volume of piece candy is 113.04 cubic centimeter
<em><u>Solution:</u></em>
A student bought a piece of hard candy that is in the shape of a sphere
<em><u>The candy has a radius of 3 centimeters</u></em>
Radius = 3 cm
Use 3.14 for π
<em><u>Volume of sphere is given as:</u></em>
Where, "r" is the radius of sphere
<em><u>Therefore, volume of candy is given as:</u></em>
Thus volume of candy is 113.04 cubic centimeter
