Answer:
Number of pounds of cashews = x = 14.96 pounds
Number of pounds of Brazil nuts = y = 19.04 pounds
Step-by-step explanation:
Let us represent:
Number of pounds of cashews = x
Number of pounds of Brazil nuts = y
The nut shack sells cashews for $6.00 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 34 pound mixture that sells for $5.44 per pound
Our system of equations is given as:
x + y = 34...... Equation 1
x = 34 - y
6x + 5y = 34 × 5.44
6x + 5y = 184.96.......Equation 2
Ww substitute : 34 - y for x in Equation 2
6(34 - y) + 5y = 184.96
204 - 6y + 5y = 184.96
Collect like terms
- 6y + 5y = 184.96 - 204
-y = -19.04
y = 19.04 pounds
Solving for x
x = 34 - y
x = 34 - 19.04
x = 14.96 pounds
Number of pounds of cashews = x = 14.96 pounds
Number of pounds of Brazil nuts = y = 19.04 pounds
Answer:
180 mm
Step-by-step explanation:
height : cases
105 : 7
constant of proportionality = 105/7
height of 12 cases = 12 x 105/7 = 180 mm
Area of a circle: πr²
Data:
diameter: 21 cm
radius=diameter/2=21 cm/2=10.5 cm
area of this circle: π(10.5 cm)²=110.25π cm² (≈346.36 cm²)
Answer: area=110.25π cm²
Answer:
The vertices are (-16,-5) and (14,-5)
The foci are (-26,-5) and (24,-5)
Answer:
x=-9
Step-by-step explanation:
x=36/-4=-9
