Question

Represent the solution on number line

$\frac{ {8x}^{2} + 16x - 51}{(2x - 3)(x + 4)} < 3$
​

Answer 1

dv=314m3/hr given

Now V=πr2h

dtdV=πr2dtdh

314=3.14(10)2dtdh

∴dtdh=1m3/h

Answer 2

s=price of the shirt

p=price of the pants

4s+3p=85.5

3s+5p=115

multiply equation 1 by 3 and multiply equation 2 by 4 to get...

12s+9p=256.5

12s+20p=460

subtract first new equation from second new equation

11p=203.5

p=203.5/11

p=$18.50 for a pair of pants

4s+3(18.50)=85.5

4s+55.5=85.5

4s=85.5-55.5

4s=30

s=30/4

s=$7.50 for a shirt