Okay, let's represent the price of a bed sheet with 'b' and a towel with 't':
54b + 50t = 923
38b + 61t = 791.50
Now, if we subtract both sides by 54b (on the first equation), we get this:
50t = 923 - 54b
Divide both sides by 50:
t = 18.46 - 1.08b
Now that we know this, we can move on to the 2nd equation:
38b + 61t = 791.50
Input the variable 't':
38b + 61(18.46 - 1.08b) = 791.5
38b + 1126.06 - 65.88b = 791.5
38b - 65.88b = 791.5 - 1126.06
Simplify:
-27.88b = -334.56
Because both sides are negative, we can turn it into a positive:
27.88b = 334.56
b = 334.56/27.88
b = 12
Now that we know that b = 12, we can easily input it into any equation:
648 + 50t = 923
50t = 275
t = 5.5
One bed sheet costs $12 and one towel costs $5.50
Option C is the answer.
Answer:
A = 
Step-by-step explanation:
given,
Matrix =
A = 
determinant of matrix
|A| = a×a - (a-4)(a+4)
|A| = a² - a² +16
|A| = 16
inverse of the matrix
to calculate inverse of two matrix interchange the term a₁₁ with a₂₂ and multiply the -ve with a₁₂ and a₂₁
the inverse is
A =
Answer: 1 1/2
Step-by-step explanation:
Answer:
6108795
Step-by-step explanation:
To obtain the number of ways the committee can be selected :
4 teachers from the 12 teachers available and 3 students from the 43 students available
Using combinatorics :
12C4 * 43C3
recall :
nCr = n! ÷ (n - r)!r!
Using calculator :
12C4 = 495
43C3 = 12341
12C4 * 43C3
495 * 12341
= 6108795
