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:
6
Step-by-step explanation:
Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:
120/(n+24) = (120/n) -16
Multiplying by n(n+24) gives ...
120n = 120(n+24) -16(n)(n+24)
0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms
n^2 +24n -180 = 0 . . . . . . . . . . . . . divide by -16 to make the numbers smaller
(n +30)(n -6) = 0 . . . . . . . . . . . . . . factor the quadratic
The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.
The woman bought 6 items.
_____
Check
When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.
Answer:
42 books
Step-by-step explanation:
The ratio percent for nonfiction is 0.78%
You multiply the amount of book by the percent that is nonfiction which give you the answer of 42.
54(0.78) = 42
Yes -4 is a interference number
Answer: 40%
Step-by-step explanation: 100 ÷ 5 = 20 so 20 × 2 = 40
