Solve for p:
p/8 + 3/8 = 25/8
p/8 + 3/8 = (p + 3)/8:
(p + 3)/8 = 25/8
Multiply both sides of (p + 3)/8 = 25/8 by 8:
(8 (p + 3))/8 = (8×25)/8
(8×25)/8 = (8×25)/8:
(8 (p + 3))/8 = (8×25)/8
(8 (p + 3))/8 = 8/8×(p + 3) = p + 3:p + 3 = (8×25)/8
(8×25)/8 = 8/8×25 = 25:
p + 3 = 25
Subtract 3 from both sides:
p + (3 - 3) = 25 - 3
3 - 3 = 0:
p = 25 - 3
25 - 3 = 22:
Answer: p = 22
tv-sets are rated by the screen size and the screen size comes from the length of its diagonal.
so a 57" TV has a 57" diagonal.
Check the picture below.
![\bf \stackrel{length}{4\left( \cfrac{57}{5} \right)}\implies \cfrac{228}{5}\implies 45\frac{3}{5}~\hfill \stackrel{width}{3\left( \cfrac{57}{5} \right)}\implies \cfrac{171}{5}\implies 34\frac{1}{5} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{Area}{\cfrac{228}{5}\cdot \cfrac{171}{5}}\implies \cfrac{38988}{25}\implies 1559\frac{13}{25}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Blength%7D%7B4%5Cleft%28%20%5Ccfrac%7B57%7D%7B5%7D%20%5Cright%29%7D%5Cimplies%20%5Ccfrac%7B228%7D%7B5%7D%5Cimplies%2045%5Cfrac%7B3%7D%7B5%7D~%5Chfill%20%5Cstackrel%7Bwidth%7D%7B3%5Cleft%28%20%5Ccfrac%7B57%7D%7B5%7D%20%5Cright%29%7D%5Cimplies%20%5Ccfrac%7B171%7D%7B5%7D%5Cimplies%2034%5Cfrac%7B1%7D%7B5%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cstackrel%7BArea%7D%7B%5Ccfrac%7B228%7D%7B5%7D%5Ccdot%20%5Ccfrac%7B171%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B38988%7D%7B25%7D%5Cimplies%201559%5Cfrac%7B13%7D%7B25%7D)
Answer:
x - 9
Step-by-step explanation:
In this case, "simplify" directs that you 1) carry out the indicated multiplication and 2) combine like terms.
-3(x+3)+4x = -3x - 9 + 4x = x - 9