Answer:
3 hours and 30 minutes
Step-by-step explanation:
Answer:
74676.
Step-by-step explanation:
Lets try multiplying 127 by 294 ( 127 is a prime number):
127 * 294 = 37338.
37338 / 196 = 190.5
37338 * 2 = 74676 which will now be divisible by 196.
74676 will be divisible by 98, 49 and 7 (because they are factors of 196).
It is also divisible by 84 ( to give 889) and therefore by 42, 28, 21, 14, 12, 6, 4, 3 , 2 and 1 which are all factors of 84.
Answer:
15 students
Step-by-step explanation:
from the algebra = 24 - 10 = 14
from the draft = 11 - 10 = 1
14 + 1 = 15
the total students that are taking algebra or drafting but not both is 15 students
X ÷ 9 = 6
Multiply both sides by 9
x ÷ 9 • 9 = 6 • 9
x = 54
Answer:
$7,562.5
Step-by-step explanation:
Given the function of the profit earned expressed as;
<em>f(p) =-40p^2+1100p</em>
To maximize the profit, df(p)/dp must be sero
df(p)/dp = -80p + 1100 = 0
-80p + 1100 = 0
-80p = - 1100
p = 1100/80
p = 13.75
Substitute p = 13.75 into the function
f(13.75) =-40(13.75)^2+1100(13.75)
f(13.75) = -7,562.5+15,125
f(13.75) = 7,562.5
Hence the symphony should charge $7,562.5 to maximize the profit.