Answer:
80 distributions of the three scholarship are possible.
Step-by-step explanation:
Given that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $ 500, $ 250, and $ 100, to determine how many distributions of the three scholarship are possible if one scholarship is to be awarded to someone from each class you must perform the following calculation:
4 x 5 x 4 = X
20 x 4 = X
80 = X
Therefore, 80 distributions of the three scholarship are possible.
Point-slope form:
y - y₁ = m(x - x₁) "m" is the slope
Since you know:
m = -2/5
(x₁ , y₁) = (-3, -5)
Plug it into the equation:
y - y₁ = m(x - x₁)
y - (-5) = -2/5(x - (-3))
y + 5 = -2/5(x + 3)
1/7? This doesn't seem to be college math but that's cause I'm in high school :P
Answer:
x = 1.75y + 0.25z
Step-by-step explanation:
Simplifying
4x + -7y = z
Solving
4x + -7y = z
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7y' to each side of the equation.
4x + -7y + 7y = 7y + z
Combine like terms: -7y + 7y = 0
4x + 0 = 7y + z
4x = 7y + z
Divide each side by '4'.
x = 1.75y + 0.25z
Simplifying
x = 1.75y + 0.25z
