Answer:

Detailed solution:
Given:
The problem to solve is:

Convert the equation into the standard quadratic form
, where
represent constants.
So, by adding
to both sides, we get:

Note that
.
The roots of this quadratic are found by applying the quadratic formula given as:

Substitute
into the formula and calculate for
.

Hence, the roots are:

Answer:
4
Step-by-step explanation:
Each sandwich costs 6 dollars, while chips sell for 3 dollars. She purchased 5 sandwiches at 6 dollars each, amounting to 30 dollars (5*6=30). This leaves her with 12 dollars to use since her total expenditure was 42 dollars. Given that chips are 3 dollars each, with 12 dollars left, 4 bags could be bought (4 * 3 = 12).
Avoid repeating the question as it can be perplexing.
Given 100 cookies and 20 brownies,
What is the highest number you can divide them equally by?
To find the greatest common factor,
Factor them:
100 = 2*2*5*5
20 = 2*2*5
Thus, the greatest common factor, which is shared between them, is 2*2*5 or 20.
Calculating further, 100/20=5
20/20=1
This means there are 20 groups, each containing 5 cookies and 1 brownie.
20 groups
Answer:
Ben could have sold a maximum of 6 turkey sandwiches.
Step-by-step explanation:
Turkey sandwiches are priced at $2.50, while veggie wraps cost $3.50 at the snack stand.
Our goal is to determine the largest number of turkey sandwiches Ben might have sold.

4 veggie wraps were sold (y).
Thus, the inequality is: 2.50x + 3.50(4) < 30
2.50x + 14 < 30
- 14 - 14
2.50x < 16


Ultimately, Ben could sell a maximum of 6 turkey sandwiches.
To find the answer, subtract the total percentage of 24.65% and $48 from 1986, resulting in the final value.