A certain allergen affects approximately 7 people per 10,000 in the United States. Assuming the U.S. population is approximately 324 million people, how many people suffer from this allergen?
A certain allergen affects approximately 7 people per 10,000 in the United States. Assuming the U.S. population is approximately 324 million people, how many people suffer from this allergen?
Answer:
3
Explanation:
Apply Multiplicative Distribution Law:
{x + y =9
{8x + 24y = 120
Reduce the greatest common factor on both sides of the equation.
{x + y = 9
{x + 3y = 15
Subtract the two equations: x + y - (x +3y) = 9 - 15
Remove paranthesis: x + y - x - 3y = 9 - 15
Cancel the unknown variables: y - 3y = 9 - 15
Combine like terms: -2y=9 - 15
Calculate the sum or difference: -2y = -6
Reduce the greatest common factor on both sides of the equation: y =3
Substitute one unknown quantity into the elimination: x + 3 = 9
Rearrange unknown terms to the left side of the equation: x = 9 - 3
Calculate the sum or difference: x = 6
Write the solution set of equations: {x = 6
{y = 3
Substitute: 6 - 3
Calculate the sum or difference: 3
Answer: 3
Answer:
111°
Step-by-step explanation:
- All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.
- Ignore the line cutting between 45° and the 30° and consider it as one triangle
- Add them to get 75°
- Now you have two known angles 75° and 36°
- To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
- Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.
The limit is equivalent to the value of the derivative of
at
. (See definition of derivative)
Answer:
-3x
Step-by-step explanation:
