1 4 of Marianne’s height is equal to 2 5 of Jean-Luc’s height. Find the ratio of Marianne’s height to Jean-Luc’s height.
m
step-by-step explanation:
step-by-step explanation:
the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:
9/7 = (4x+12)/(4x-4)
9(4x-4) = 7(4x+12)
36x - 36 = 28x + 84
8x - 36 = 84
8x = 120
x = 15
answer: integers are just whole numbers: positive, negative, and zero.
i = {-∞, -2, -1, 0, 1, 2, 3, ∞}
let x = 1st integer
let y = 2nd integer
x = 3y + 17 {equation 1}
xy = -24 {equation 2}
substitute 3y+17 in place of x n equation 2
and solve for y.
(3y+17)y = -24
3y2 + 17y = -24
3y2 + 17y + 24 = 0
from quadratic equation:
y = [-17±√(172-4(3)(24))]/(2(3))
y = (-17 ±√1)/6
y = (-17+1)/6 or y = (-17-1)/6
y = -16/6 or y = -18/6
y = -2 2/3 or y = -3
since we are dealing with
y = -3
x = 3y+17 = -9+17 = 8
the integers are -3, 8
step-by-step explanation: