Answer:
A. 6n + 13
Step-by-step explanation:
The total mass, in kilograms, of the nails the carpenter bought is 3.9 kilogram
<h3><u>Solution:</u></h3>
Given that carpenter bought 750 nails
Each nail has a mass of 
kilogram
To find: total mass, in kilograms of the nails bought
The total mass of the nails bought can be found out by multiplying number of nails bought by mass of each nail
Number of nails bought = 750
Mass of each nail = kilogram
total mass of the nails bought = number of nails bought x mass of each nail
Thus the total mass of nails bought is 3.9 kilogram
Answer:
Yes
Step-by-step explanation:
Permutation :
nPr = n! ÷ (n - r)!
nCr = n! ÷ (n-r)!r!
11 objects taken 3 at a time :
11P3 = 11! ÷ (11 - 3)!
11P3 = 11! / 8!
11P3 = (11 * 10 * 9 )
11P3 = 990
Dividing by 3!
3! = 3*2*1 = 6
= 990 / 6
= 165
For combination :
11C3 = 11! ÷ 8!3!
11C3 = (11 * 10 * 9) / (3 * 2 * 1)
11C3 = 990 / 6
11C3
The path of the given Hamiltonian diagram is A, E, B, C, D, F. See explanation below.
<h3>What is a Hamiltonian Path?</h3>
A Hamiltonian path, also known as a traceable path, is one that visits each vertex of the graph precisely once.
A traceable graph is one that contains a Hamiltonian path.
Hence, the path is given as;
A, E, B, C, D, F
Learn more about Hamiltonian Paths at;
brainly.com/question/15521630
#SPJ1
Answer:
The two number are :
x = 1411
y = 1079
Step-by-step explanation:
Let the two numbers = x and y
The sum of two numbers is 2490
x + y = 2490..... Equation 1
If 6.5 percent of one no. is equal to 8.5 percent of the other,
Hence:
6.5% of x = 8.5% of y
0.065x = 0.085y
Make x the subject of the Formula
x = 0.085y/0.065
x = 1.308y
We substitute 1.308y for x Equation 1
x + y = 2490..... Equation 1
1.308y + y = 2490
2.308y = 2490
y = 2490/2.308
y = 1078.8561525
y = 1079
x + y = 2490..... Equation 1
x = 2490 - y
x = 2490 - 1079
x = 1411
