Answer:
1/4
Step-by-step explanation:
25 people took a vitamin and still got the flu and the total number is 100 so the fraction is 25/100 which can be reduce to 1/4
Simplifying
3x + 3y = -3
Solving
3x + 3y = -3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3y' to each side of the equation.
3x + 3y + -3y = -3 + -3y
Combine like terms: 3y + -3y = 0
3x + 0 = -3 + -3y
3x = -3 + -3y
Divide each side by '3'.
x = -1 + -1y
Simplifying
x = -1 + -1y
Answer:
The inequality representing the shaded area is y < 3 - 2.5·x
Step-by-step explanation:
The given equation of the graph is 5·x + 2·y = 6
Therefore, we have;
2·y = 6 - 5·x
y = 6/2 - 5/2·x
y = 3 - 2.5·x
Given that the graph is represented by a shaded region on the left and lower side of a broken line, the inequality relationship for the graph is that of a lesser than area inequality with a symbol of < and the inequality for the graph can be represented as follows,
y < 3 - 2.5·x.
Answer:
The larger number = 116
Step-by-step explanation:
Let the smaller number = x
Given that one number is 78 more than another, so
The larger number = x+78
Given that if we add 12 to the smaller number, the result is 50, so

subtract 12 from both sides

Simplify

Therefore,
- The larger number = x+78 = 38+78 = 116
Thus, the larger number = 116
The cos of an angle and the sine of its complement are the same number.
Spend a couple of minutes looking at a right triangle, and reviewing the definitions of sin and cos, and you'll see why.