Answer:
143π in³
Step-by-step explanation:
A basketball has the shape of a sphere
Volume of a basketball = 4/3πr³
Diameter = 9.5 in
Radius = diameter/2
= 9.5/2
= 4.75 in
Volume of a basketball = 4/3πr³
= 4/3 * π * 4.75³
= 4/3 * π * 107.17
= (4*π*107.17) / 3
= 428.68π / 3
= 142.89π in³
Approximately
143π in³ to the nearest whole number
Answer: -7/2
Step-by-step explanation:
Answer: She should blend 98 lbs of high-quality beans.
She should blend 72 lbs of cheaper beans
Step-by-step explanation:
Let x represent the number of pounds of high quality beans that she should blend.
Let y represent the number of pounds of cheaper beans that she should blend.
She needs to prepare 170 lbs of blended coffee beans. This means that
x + y = 170
She plans to do this by blending together a high-quality bean costing $4.75 per pound and a cheaper bean at $2.00 per pound. The blend would sell for $3.59 per pound. This means that the total cost of the blend would be 3.59×170 = $610.3. This means that
4.75x + 2y = 610.3 - - - - - - - - - -1
Substituting x = 170 - y into equation 1, it becomes
4.75(170 - y) + 2y = 610.3
807.5 - 4.75y + 2y = 610.3
- 4.75y + 2y = 610.3 - 807.5
- 2.75y = - 197.2
y = - 197.2/-2.75 = 71.9
y = 72 pounds
x = 170 - y = 170 - 71.9
x = 98.1
x = 98 pounds
Step-by-step explanation:
step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)
step 2. 15x + 15 = 180 (like terms)
step 3. 15x = 165 (subtract 15 from each side)
step 4. x = 11. (divide both sides by 15)
Answer:
5 is the answer. hope this help you
