A farmer wants to sell enough grain to get at least $2,400. if the selling price is $3 per bushel, how many bushels must he sell
1 answer:
Answer:
a) m x 3 ≥ 2,400 is the formed inequality.
b) The farmer should sell at least 800 bushels to earn an amount of $2,400
Step-by-step explanation:
Here, the cost of each bushel = $3
The least money the farmer wants to earn = $2400
Let m be the number of bushels the farmer sells.
So, according to the question:
The money earned after selling m bushels at $3 each ≥ $2,400
or, m x ($3) ≥ $2,400
⇒
or, m ≥ 800
Hence, the farmer should at least 800 bushels to earn an amount of $2,400
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Answer:
The angular velocity is 6.72 π radians per second
Step-by-step explanation:
The formula of the angular velocity is ω = , where v is the linear velocity and r is the radius of the circle
The unit of the angular velocity is radians per second
∵ The diameter of the tire is 25 inches
∵ The linear velocity is 15 miles per hour
- We must change the mile to inch and the hour to seconds
∵ 1 mile = 63360 inches
∵ 1 hour = 3600 second
∴ 15 miles/hour = 15 ×
∴ 15 miles/hour = 264 inches per second
Now let us find the angular velocity
∵ ω =
∵ v = 264 in./sec.
∵ d = 25 in.
- The radius is one-half the diameter
∴ r = × 25 = 12.5 in.
- Substitute the values of v and r in the formula above to find ω
∴ ω =
∴ ω = 21.12 rad./sec.
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∴ ω = 6.72 π radians per second
The angular velocity is 6.72 π radians per second
Answer:
1920 in³
Step-by-step explanation:
The volume of the water can be gotten by calculation the volume of the aquarium it fills/occupies.
Since the water fills to exactly three inches below the top of the aquarium, hence the height of the water in the aquarium is given as:
height of water = 13 in - 3 in = 10 in
Therefore the volume of the water in the tank is given by the formula:
Volume of water = height of water * breadth of tank * length of tank
Volume of water = 10 in * 8 in * 24 in = 1920 in³
