To find the percent of the yellow tint in the new mixture?

Mathematics

1 answer:

Ivanshal [37]2 years ago

6 0

1)We need to know the amount of yellow tint in the old mixture.

amount of yellow tint=30% of 40 liters
30%=30/100=0.3

Amount of yellow tint=0.3(40 liters)=12 liters.

2)We need to find the amount of yellow tint in the new mixture.

amount of yellow tint in the new mixture=12 liters + 9 liters=21 liters.

3) we calculate the amount of the new mixture:
amount of new mixture=40 liters + 9 liters=49 liters

4) we compute the percent of yellow tint in the new mixture:

percent of yellow tint =(amount of yellow tint / amount of mixture)*100

percent of yellow tint=(21 liters / 49 liters)100≈42.9%

Answer: The percent of yellow tint in the new mixture is 42.9%.

note: if this answer is not correct you can try it with 42.8%

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (w.y) be the unknown

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Answer:

Step-by-step explanation:

Given two coordinates (x₁,x₂) and (y₁,y₂), their midpoint (w,y) is expressed as:

M(X,Y) = $(\dfrac{x_1+w}{2}, \dfrac{y_1+y}{2})$

From the question, we are given the midpoint (X,Y) to be (2,2) and one endpoint as (1, -2) and we are to find the other end point expressed as (w,y). From the coordinates given, i can be seen that X = 2, Y =2, x₁ = 1 and y₁ = -2

Substituting the given end points into the given formula to get the other end points, we will have;

$X = \dfrac{x_1+w}{2} \\2 = \dfrac{1+w}{2} \\cross\ multiply\\4 = 1+w\\w = 4-1\\w = 3$