Answer:
Using the quadratic formula to solve 5x = 6x^2 – 3, what are the values of x?
5x = 6x^2 – 3
Subtract 5x from both sides:
0 = 6x^2 – 5x – 3
a = 6, b = -5, c = -3
x = (-b ± √(b^2 - 4ac))/(2a)
x = (-(-5) ± √((-5)^2 - 4(6)(-3)))/(2(6))
x = (5 ± √(25 + 72))/12
x = (5 ± √(97))/12
Step-by-step explanation:
Answer:
There are 406 students in the school
Step-by-step explanation:
Let the number of students in the school be x
The total ratio is 11 + 3 = 14
The ratio that buys lunch is represented by 3
So, we have it that;
3/14 * x = 87
3x = (14 * 87)
x = (14 * 87)/3
x = 406
Answer:
x = 60, y = 25
Step-by-step explanation:
Δ ABC has 3 congruent sides and is equiangular, thus
the 3 angles are congruent, all 60°
x = 60
∠ ABC and ∠ CBD are adjacent and supplementary, sum to 180° , then
∠ CBD = 180° - 60° = 120°, so
y = 180 - (120 + 35) = 180 - 155 ← sum of angles in triangle
y = 25
How much was he paid per hour