The speed of the bus is 125 kmph
Speed is a scalar quantity that refers to how fast an object is moving.
Given that, a speed of a bus that travels 250 km in 2 hours.
We know,
Speed = distance / time
Distance = 250 km
Time = 2 hours
Speed = 250 / 2
= 125 kmph
Hence, the speed of the bus is 125 kmph
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A. 1
B. 14
C. 49
D. 5040
The value of ₇P₇ or P(7, 7) is 5040 after using the permutation formula option (D) 5040 is correct.
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
= ₇P₇
Here P represents the permutation:
We can calculate the value of ₇P₇ using the formula:
P(n, r) = n!/(n - r)!
n = 7
r = 7
Plug the above values in the formula:
₇P₇= P(7, 7) = 7!/(7 - 7)!
₇P₇ = 7!/(0)!
₇P₇ = 7!
₇P₇ = 7×6×5×4×3×2×1
The above represents a mathematical operation, Now multiply all the numbers.
₇P₇ = 5040
Thus, the value of ₇P₇ or P(7, 7) is 5040 after using the permutation formula option (D) 5040 is correct.
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The unit rate of boxes produced per hour by the machine is 1200 boxes per hour. This is obtained by multiplying the number of boxes made in 15 minutes (300 boxes) by 4 to account for the 4 15-minute intervals in an hour.
To find the unit rate of boxes produced per hour, we first need to determine how many minutes are in an hour. There are 60 minutes in 1 hour.
Then, we need to figure out how many 15-minute intervals fit into 60 minutes. To do this, we divide 60 by 15, which gives us 4. This means there are 4 15-minute intervals in an hour.
Given that the machine makes 300 boxes in 15 minutes, we multiply this quantity by 4 to find out how many boxes it makes in an hour. Therefore, the expression for the unit rate in boxes per hour is 300 boxes * 4, which equals 1200 boxes per hour.
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