geno3141

-5(-2b + 3) - 4(-3b + -6)

Use the distributive property:

10b - 15 + 12b + 24

Add like terms:

22b + 9

p/12 - 23  =  5144

Add 23 to both sides:

p/12  =  5167

Multiply both sides by 12:

p  =  12 x 5167

p  =  62,004

x²·x  =  x³

x³  =  650

Find the cube root of both sides:

x  =  (650)^(1/3)  =  8.66     (approximately)  

You get 10% of the first $5,000.00  --->   0.10 x 5000  =  $500.00

Since the total sold is $22,000.00, there is still $17,000.00 remaining,  for which commisssion is paid at the rate of 15%  --->   0.15 x 17000  =  $2550.00

Total commission:  $500.00 + $2550.00  =          <--- the answer.

Draw a rectangle that holds all the persons that belong to the club.

Inside this rectangle, draw two intersecting circles.

One of these circles is for cricket players; the other circle is for tennis players.

The overlapping region of these two circles holds those persons who play both cricket and tennis -- place 15 into this region.

There is a total of 35 cricket players, 15 are in the center region, leaving 20 for the larger section of that circle.

There is a total of 50 tennis players, 15 are in the center region, leaving 35 for the larger section of this circle.

So far, we have placed 15 + 20 + 35 = 70 members of the club. So, inside the rectangle, but outside the circles, place the number 10, representing the members of the club who play neither tennis nor cricket.

Because  x² - 16  is the difference of two squares, it can be factored into two groups:

(x + 4) (x - 4)

To find simple interest:

(simple interest)  =  (principal) x (rate) x (time)

Do you mean p times 12 or p to the exponent of 12?

The perimeter of a sector is the sum of the lengths of the two radii plus the arc length of the portion of the circle.

As happy7 says, we could be more specific if we knew these values.