Mathematics, 24.03.2020 23:31 biancabell3

. Mari and Liam can each wash a car and vacuum its interior in 2 hours. Zach needs 3 hours to do this same job alone. If Zach, Liam, and Mari work together, how long will it take them to clean a car?

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Answer from: MyaaaMoney

It will take 45 mins to wash a car when Zach, Liam, and Mari work together.

Step-by-step explanation:

Given:

Time required for Mari to wash a car = 2 hours

Time required for Liam to wash a car = 2 hours

Time required for Zach to wash a car = 3 hours

We need to find the time required to wash a car when Zach, Liam, and Mari work together.

Solution:

Let the time required to wash a car by all three of them be 'x'.

Now first we will find the rate.

Rate is given by Number of job completed divided by time required to complete the job.

Rate of Mari = $\frac{1}{2}$

Rate of Liam = $\frac{1}{2}$

Rate of Zach = $\frac{1}{3}$

Rate when all three work together = $\frac{1}{x}$

Now we can say that;

Rate when all three work together is equal to sum of Rate of Mari, Rate of Liam, Rate of Zach.

framing in equation form we get;

$\frac{1}{2}+\frac12+\frac13=\frac1x\\\\\frac{1+1}{2}+\frac13=\frac1x\\\\\frac{2}{2}+\frac13=\frac1x\\\\1+\frac13=\frac1x$

Now we will take the LCM to make the denominator same we get;

$\frac{3}{3}+\frac13=\frac1x\\\\\frac{3+1}{3}=\frac1x\\\\\frac43=\frac1x$

Now using cross multiplication we get;

$x=\frac34\ hrs$

Now we know that;

1 hour = 60 mins

$\frac34\ hrs$ = Number of minutes in $\frac34\ hrs$

using Unitary method we get;

Number of minutes in $\frac34\ hrs$ = $60 \times \frac34 = 45 \ mins$

Hence it will take 45 mins to wash a car when Zach, Liam, and Mari work together.

Answer from: Quest

amount of oatypop that contains the prize = 40%

amount of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

= s +f s +f f s+ff f s+ff f f s+ infinity.where f= failure,s= success

= or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

= = 87.04 %

step-by-step explanation:

Answer from: Quest

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )
Ineed as soon as possible ! what is the approximate length of the minor arc de

Ineed as soon as possible ! what is the approximate length of the minor arc de

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. Mari and Liam can each wash a car and vacuum its interior in 2 hours. Zach needs 3 hours to do thi...