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Aleks [24]
3 years ago
9

Team a can wash all the windows in the school in x hours. It takes team B 13 hours to do the same job. If the teams work togethe

r, they can complete the job in 8.5 hours. How long does it take team A to do the job alone?
Mathematics
2 answers:
MariettaO [177]3 years ago
4 0

Answer:

it will take A 4.5 hour

Step-by-step explanation:

Say both teams are of same man power, and here we have two teams

A and B

B takes 13 hours to finish a task.

A&B takes 8.5 hours to finish same tasks

Hence it will take A 13-8.5=4.5 hours to complete the task

uranmaximum [27]3 years ago
3 0

Answer:

Step-by-step explanation:

Given:

Team a wash the windows = x hours

Team B = 13 hours

Team a + Team b = 8.5 hours

Assuming the time taken for team a amd team b be a and b respectively.

To wash 13 windows, Team a will do so in x hours = x × 13

To wash x number of windows, Team b will do so in x hours = x × 13

a + b = 8.5 hours

So in 13x hours, the two teams can wash 13 + x windows. To paint just a window, they'll need 1/(13 + x) hours,

8.5 = 13x/(x + 13)

4.5x = 110.5

Solving for x,

110.5/4.5 = x

x = 24.56 hours

Team a will require 24.56 hours to do the work alone.

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Rena spent 6 days reading her book completing the same fraction of the book each day if she had a total of 8/9 of her book after
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Answer:

The fraction of the book that Rena read every day is \frac{4}{27}

Step-by-step explanation:

Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:  

\frac{8}{9}÷6

To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.

Since 6 can be considered to be a fraction equal to \frac{6}{1}, by inverting the number, then you get \frac{1}{6}

Then:

\frac{8}{9}÷6= \frac{8}{9} *\frac{1}{6}

Now you multiply the numerators and denominators of the fraction to get the new numerator and denominator of the final solution.

\frac{8}{9}÷6= \frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}

Finally, simplifying the fraction:

\frac{8}{9}÷6= \frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}=\frac{4}{27}

So:

\frac{8}{9}÷6= \frac{4}{27}

<u><em>The fraction of the book that Rena read every day is </em></u>\frac{4}{27}<u><em></em></u>

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If g(x) is a linear function such that g(-3) = 2 and g(1) = -4, find g(7).
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<h3>Answer:   -13</h3>

=======================================

Explanation:

g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)

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Find the slope of the line through the two points (-3,2) and (1,-4)

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The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5

Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation:  2 = -1.5*(-3) + b

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g(7) = -1.5*7 - 2.5

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