Answer:
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg
Step-by-step explanation:
Let
x=nuts at $2.50 per kg
y=cereal at $1 per kg
x+y=60 kg (1)
2.50x+y=1.40(60) (2)
From (1)
x=60-y
Substitute x=60-y into (2)
2.50x+y=1.40(60)
2.50(60-y)+y=84
150-2.5y+y=84
-1.5y=84-150
-1.5y=-66
Divide both sides by -1.5
y=44 kg
Substitute y=44 into (1)
x+y=60
x+44=60
x=60-44
=16
x=16 kg
The first figure is a rectangle. Rectangles are known for having four right angles. Thus, one of the angles in this figure is 90 degrees.
The second figure is an equilateral triangle. Because all its sides have the same length, the angles are all the same. There is a principle stating that the sum of the 3 interior angles of a triangle is 180 degrees. Thus, the measure of one of these 3 angles is 180 degrees / 3 = 60 degrees.
Answer:
(-1,-3)
Step-by-step explanation:
The y intercept is 40 and it means that at zero hours you have a score of 40(basically where you start out )