Well I say 42/100 × 122. Then when you reduce it you get 42/25 × 31. You will get an answer of 1301/25. But it is not over yet; when you divide 1301 with 25 and get the answer of 52.04. Now you must round it if to then nearest tenth place. That will be 52.0. Now you can round it to the nearest whole number or you can do that when you get your decimal answer in the first place. Anyway, when you round it to the nearest whole number you get 52 as your answer.
Cos(A - B) = cos(A)cos(B) - sin(A)sin(B)
Thus,
cos(8x)cos(2x) - sin(8x)sin(2x)
= cos(8x - 2x)
= cos(6x)
Answer:
1200
Step-by-step explanation:
Let the number be represented by n. The problem statement tells us ...
... n/5 + 30 = n/4 - 30
Multiplying by 20 gives
... 4n +600 = 5n -600
Adding 600-4n gives
... 1200 = n
The number is 1200.
Answer: the commission that she earns for selling each suit is $13
the commission that she earns for selling each pair of shoes is $8
Step-by-step explanation:
Let x represent the commission that she earns for selling each suit.
Let y represent the commission that she earns for selling each pair of shoes.
One week, she earned $47 in commission for selling 3 suits and a pair of shoes. It means that
3x + y = 47 - - - - - - - - - - 1
The next week, she earned $107 in commission for selling 7 suits and 2 pairs of shoes. It means that
7x + 2y = 107 - - - - -- - - - -2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
6x + 2y = 94
7x + 2y = 107
-x = -13
x = 13
Substituting x = -13 ,into equation 1, it becomes
3×13 + y = 47
39 +y = 47
y = 47 - 39 =
y = 8
