Answer:
(24, 224 ) i.e. 24 basketball and 224 footballs
Step-by-step explanation:
<em>Basketball :</em>
uses 4 ounces of foam
20 minutes of labor
profit = $2.50
<em>Football :</em>
uses 3 ounces of foam
30 minutes of labor
profit = $2
Manufacturer has :
768 ounces of foam , 120 labor hours per week,
<u>using the simplex method to determine the optimal production schedule so as to maximize profits </u>
lets assume
x = number of basketball
y = number of footballs
maximize = 2.5 x + 2y from a linear programming problem
attached below is the detailed solution
Answer:
190.28in
Step-by-step explanation:
Sides= 31.2
Front and back= 58.2
Top and bottom= 100.88
Add them together= 100.88+58.2+31.2
(0,-5) is the y-intercept
Answer:
38 mm³
Step-by-step explanation:
Calculate the volume of the cylinder and of the cone separately.
1. Volume of cylinder
The formula for the volume V of a cylinder is
V = πr²h
Data:
D = 4 mm
h = 2 mm
Calculations:
a. Calculate the radius
D = 2r
r = D/2 = 4/2 = 2 mm
b. Calculate the volume
V = 3.14 × 2² × 2 = 25.12 mm³
2. Volume of cone
The volume for the volume (V) of a cone is
V = ⅓πr²h
V = ⅓ × 3.14 × 2² × 3
V = 18.85 mm³
3. Calculate the total volume
V = 25.12 mm³ + 12.57 mm³ = 38 mm³
Answer:
3/4 divided by 3/8 equals 2
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
34×83=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
3×84×3=2412
Since 24 divided by 12 equals 2
