Answer:
At most 29 boxes can be safely loaded onto the pallet.
Step-by-step explanation:
Given:
Weight of each box = 55 pound
Weight pallet can support 
1595 pounds.
We need to find the number of boxes .
Solution:
Let the number of boxes loaded safely onto the pallet be 'x'.
So we can say that;
Weight of each box Multiplied by number of boxes should be less than or equal to Weight pallet can support.
framing in equation form we get;
Dividing both side by 55 we get;
Hence At most 29 boxes can be safely loaded onto the pallet.
Answer:
x = 15 or x = - 
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = -
The answer is 21 m squared
3(5)=15
3(2)=6
15+6=21
