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Assuming that all persons work at the same rate and do not interfere with each other:

7 painters each working 56 days take 7 x 56  =  392 painter-days

After 6 days, they have completed 7 x 6  =  42 painter-days.

Therefore, they still need  392 - 42  =  350 painter-days.

Add 28 volunteers, they now have 18 + 7  =  35 painters.

It will now take them  another 350 / 35  =  10 days.

                                  (1/3)·t - 5  <  t - 2

Multiply both sides by 3:  t - 15  <  3t - 6

Subtract t:                           -15  <  2t - 6

Add 6:                                   -9  <  2t

Divid by 2:                          -4.5  <  t

                                        t - 2  <=  -3t + 7

Add 3t to both sides:     4t - 2  <=  7

Add 2:                                 4t  <=  9

Divide by 4:                          t  <=  2.25 

Combining these two inequalities:     -4.5  <  t  <=  2.25

@geno3141, "x and y such that x not equal to y" in the problem.

Solve for the speed of one person and multiply by 7 for seven people to find their speed.

How is redirecting someone to a paid website going to help them?

It will help you though :D

Here is a really similar question that will help you:

Since this is a symmetric equation (you can interchange x and y without changing the equation),

the minimum value will occur when x = y.

Solving 1/x + 1/y  =  1/18   --->   1/x + 1/x  =  1/18   --->   2/x  =  1/18   --->   x  =  36   --->   x + y  =  72.

Thank you so much! Your answers were really helpful.

1/x + 1/y = 1/18

\(\frac{x+y}{xy}=\frac{1}{18}\).

\(18x+18y=xy\)

\(xy-18x-18y=0\)

Note that the expression is very close to \((x-18)(y-18)\) is if I add 324 to both sides.

\((x-18)(y-18)=324\).

324=2^2*3^4

12+18=30

27+18=45

30 and 45 give the largest result, thus x+y=30+45=75.

You will need to do: 3.15 times 4, which is $12.60

AnExtremelyLongName:

This is an isosceles triangle, with angles 120, 30, and 30. It says in the question that angle PQR is 120 degrees, which makes the other 30 degrees.

No, your points do not go down when you ask a question... your hearts go up unless you get negative hearts.

You get hearts or lose hearts when someone upvotes or downvotes your posts. I'm not sure about anything else.

Draw:

- An isosceles triangle that has a vertex angle of 120.

- If you draw from Q to the midpoint of PR, you can create two 30-60-90 triangles.

Solve:

Knowing that the triangles are 30-60-90 with the hypotenuse given, can you find the height and base of the triangle and solve?

You can use inverse ratios. You should search them up and study them (just a tip)! :)

I am sure I entered the right number.  I put 0 in and it said it was wrong

Either your browser or your device. Anyways, you can always go to "widgets" and make your own.

Just a little side note:

You cannot assume it's regular... but you CAN find the average of the angles (as if it was regular)!

The google sites doesn't work for me..... It says:

404. That’s an error.

The requested URL was not found on this server. That’s all