The solution is 1756.69
<h3>What is number system?</h3>
A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
We have to find the 18.5% of 2155.45.
So,
2155.45 * 0.185 = 398.75825
Now, subtract
21.55.45 - 398.75825
= 1756.69175
Hence, the value is 1756.69
Learn more about number system here:
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Answer :
9
Explanation :
The expression above signifies the Permutation expression
Permutation expression is given as nPr
The Permutation expression is calculated as:
nPr = P(n, r) = n! / (n - r)!
It the above question, we were asked to evaluate the expression 9P1
From the above question, we can see that:
n = 9 and r = 1
Therefore, the expression
9P1 = 9! / ( 9 - 1) !
9P1 = 9! / 8!
= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 362880 /40320
= 9
Therefore, the evaluation of the expression 9P1 = 9
Answer:
C =(x-3)(x-2)/x
or
x²-5x+6/x
Step-by-step explanation:
2x^2 - 4x - 6/x + 2 * x^2 - 4/2x^2 + 2x
Factorizing the given factors
1) 2x^2 - 4x - 6
= 2x^2 - 6x+2x - 6
= 2x(x-3) +2(x-3)
= (x-3)(2x+2)
2) x^2 - 4
= (x+2) (x-2)
3) 2x^2 + 2x
= 2x( x+1)
Putting the factors
(x-3)(2x+2)/x + 2 * (x+2) (x-2)/2x( x+1)
= (x-3)(2x+2) (x-2)/2x( x+1)
= 2(x-3)(x+1) (x-2)/2x( x+1)
=(x-3)(x-2)/x
Now multiply
(x-3)(x-2) =x²-5x+6
Then the answer becomes x²-5x+6/x
Answer:
4 hours
Step-by-step explanation:
The distances and average speeds for the first two days driven are show below.
Step 1
We calculate the total distance covered in the first two days
First day: 6 hours at an average speed of 60 miles per hour
Hence:
1 hour = 60 miles
6 hours = x
x = 60 × 6
x = 360 miles
Second day: 4 hours at an average speed of 65 miles per hour
Hence:
1 hour = 65 miles
4 hours = x
x = 65 × 4
x = 260 miles
The distance covered for the first two days =
(360 + 260)miles
= 620 miles
Step 2
The total distance for the entire trip = 820 miles
Hence, the distance left to cover on the third day = (820 - 620)miles
= 200 miles
In the question, we are told:
If the average speed on the third day is 50 miles per hour,
The number of hours it will take for them to reach their family friends home is calculated using the formula
Time = Distance/Speed
Time = 200 miles/50 miles per hour
Time = 4 hours
Answer:
7.5 in
Step-by-step explanation:
