A) The product of x and y equals 196. Thus, A) x is equal to 196 divided by y.
B) The sum of x and y is 35. By substituting A) into B), we have
B) 196 divided by y plus y equals 35. Multiplying both sides by y yields
B) 196 plus y squared equals 35y. This results in B) y squared minus 35y plus 196 equals 0.
Therefore, the solutions are X1 = 28 and X2 = 7.
For a 560-mile journey, Mrs. Allan's car will require 20 gallons of fuel. Meanwhile, Mrs. Owen's vehicle will need 16 gallons for the same distance.
Answer:
Step-by-step explanation:
The question is 
We let 
, so the equation becomes:
Where 
By applying the quadratic formula, we arrive at:
Quadratic formula: 
Substituting yields:
We let , thus x calculates to:
and
The solutions to the equation are (rounded to 2 decimal places) and (rounded to 2 decimal places)
Answer: See explanation
Step-by-step explanation:
To determine how many boxes of sugar Alonso can purchase, we can express the scenario as follows:
= 2.75 + 11.50S ≤ 55
Expanding this gives us:
2.75 + 11.50S ≤ 55
11.50S ≤ 55 - 2.75
11.50S ≤ 52.25
S ≤ 52.25 / 11.50
S ≤ 4.54
Thus, he is able to buy 4 boxes of sugar.
