# What is the simplest form of the square root of 100x36

## Related Questions

A certain theater has 100 balcony seats. For every \$2 increase in the price of a balcony seat above \$10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is \$10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is \$1,360 ?A. \$12B. \$14C. \$16 D. \$17E. \$18

The correct option is C) \$16.

Step-by-step explanation:

Consider the provided information.

Let R1 = \$1000 revenue if price per seat is \$10 and number of seats are 100.

Let R2 = \$1360 revenue if price increase every time by \$2 and 5 lesser number of seats sold that every time.

Hence, for R2,

x is the number of seat increase by \$2.

n is the number of times 5 lesser seats are sold when each time the price is increased by \$2.

The revenue increased by = \$1360-\$1000 = \$360

Now,  x = n since every time the price is increased, lesser number of seats are sold and this is attributed to the increased revenue.

The number of times the price is increased by \$2 is 2x.

The number of times 5 lesser seats are sold is 5n.

2x × 5n = 360

10xn = 360

xn = 36

As mentioned above, x = n

Hence x² = 36

Therefore, x =  6

Neglect the negative value of  x, as the price is increased,

Thus, \$6 should be increased in \$10.

The new price during is = 10+6 = \$16.

Hence, the correct option is C) \$16.

The given angle is in standard position. Determine the quadrant in which the angle lies. -25° A. Quadrant III

The terminal end of the angle has dropped 25° under the x-axis.