Let
d = the total number of dairy cattle
b = the total number of beef cattle
2/3 of the dairy cattle on a farm are in the barn, and we know that 24 dairy cattle are in the barn thus:
(2/3)d = 24
d = 36 dairy cattle
1/4 of the beef cattle are in the barn and there are 16 beef cattle in the barn thus:
(1/4)b = 16
b = 64 beef cattle
64 - 36 = 28
There are 28 more beef cattle on the farm than dairy cattle.
Answer:
(n-5) ÷ 10
Step-by-step explanation:
Ok, so 1 is a whole number. 1/5 is a fraction of 1. So you want to subtract 1/5 from 1. The number 1 is equal to 5/5. So if you subtract 1/5 from 5/5 you are left with 4/5. You do the same with the second one, just subtract 3/5 from 5/5 to get your answer.
Answer:
25 Or A
Step-by-step explanation:
The acceleration of the object will be 10 m/s²
Step-by-step explanation:
Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other
- If y varies directly with x, then y ∝ x
- y = k x, where k is the constant of variation
For a moving object, the force acting on the object varies directly with the object's acceleration.
Assume that the force is F and the acceleration is a
∵ F ∝ a
∴ F = k a
∵ F = 20 newtons
∵ a = 4 m/s²
- Substitute these values in the equation above to find k
∵ 20 = k (4)
∴ 20 = 4 k
- Divide both sides by 4
∴ k = 5
- Substitute the value of k in the equation
∴ F = 5 a ⇒ equation of variation
∵ F = 50 Newtons
∵ F = 5 a
∴ 50 = 5 a
- Divide both sides by 5
∴ 10 = a
∴ a = 10 m/s²
The acceleration of the object will be 10 m/s²
Learn more:
You can learn more about variation in brainly.com/question/10708697
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