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
Based on the calculations, the depth of tent is equal to 12 feet.
<h3>How to calculate the depth of the tent?</h3>
Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):
- Triangle ABC is an isosceles triangle (AB = AC).
- The front and back of the triangle are identical triangles.
- Side AD is perpendicular side BC.
- CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.
Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:
AC² = AD² + DC²
AD² = AC² - DC²
AD² = 5² - 3²
AD² = 25 - 9
AD² = 16
AD = √16
AD = 4 feet.
Also, we would determine the area of the triangle (ABC):
Area = 1/2 × b × h
<u>Where:</u>
Substituting the given parameters into the formula, we have;
Area = 1/2 × 6 × 4
Area = 12 feet².
Depth of tent = 3 × height of ADC
Depth of tent = 3 × 4
Depth of tent = 12 feet.
Read more on area of triangle here: brainly.com/question/21917592
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You would subtract the atomic number from the mass weight. <span />
D ~ Positive Exponetial growth. Hope it helped!!! <3 (^u^)