It's hard to read could you just right the number
The longest side of a triangle must be less than the sum of the other 2 sides
2 senarios
the 3rd side is the longest
the 3rd side is not the longest
for the 3rd side is the longest
3rdside<28+42
3rdside<70
for 3rd side isn't the longest
42 is longest
42<28+3rdside
14<3rdside
so we've got
3rdside<70 and 14<3rdside
so
14<3rdside<70
the 3rd side can be any number from 14in to 70in except 14in and 70in
At Gino's you pay $16 plus $8 per pizza.
At Venetian's you pay $24 plus $6 per pizza.
Let the number of pizzas be x.
At Gino's you pay 16 + 8x
At Venetian's you pay 24 + 6x
Set the two costs equal and solve for x to find out the number of pizzas for which both costs are the same.
16 + 8x = 24 + 6x
16 + 2x = 24
2x = 8
x = 4
Each place gives you a free pizza.
4 pizzas plus the free pizza equals 5 pizzas.
If you need 5 pizzas (including the free one), both parlors cost the same.
If you need fewer than 5 pizzas, use Gino's.
If you need more than 5 pizzas, use Venetian's.
(5/8) × 48 = (8/15) × n
Multiply by the inverse of the coefficient of n. That inverse is 15/8.
n = (15/8)×(5/8)×48 = (75/64)×48 = 225/4 = 56 1/4
5/8 of 48 is equal to 8/15 of 56 1/4
