Answer:
No
Step-by-step explanation:
It is not a prime number because it is divisible by 1, 3, 11 and itself, 33.
If it were just 33 and 1, it would be prime, but it has those extra factors
Answer:
2) No function
3) Function: y=30x
Domain: x≥0
Range: y≥0
4) Function: y=160
Domain: x≥20
Range: y=160
Step-by-step explanation:
Step-by-step explanation:
Approach: If four numbers a, b, c and d are in proportion then a:b = c:d. The solution is to sort the four numbers and pair up the first 2 together and the last 2 together and check their ratios this is because, in order for them to be in proportion, the product of means has to be equal to the product of extremes.
Answer:
The expression that shows how long the two machines will operate simultaneously is:
Step-by-step explanation:
We know that:
x: hours to manufacture a deck of cards for machine A
y: hours to manufacture a deck of cards for machine B
z: hours that machine A operates alone
The number of decks manufactured only by machine A is:
So, the remaining decks are given by:
Then, the combined rate of machines A and B would be:
The work-rate formula is:
Hence, the time that the two machines work simultaneously is:
Answer:
46
Step-by-step explanation:
he count of numbers from 1 to n that are divisible by k is integer part of (n/k).
So the numbers from 1 to 99 divisible by 3 is int(99/3) = 33
Those divisible by 5: int(99/5) = 19
From the sum of those two, subtract those divisible by 15 = int(99/15) = 6
That gives you 33+19-6 = 46.
Now subtract the 1 digit numbers: 3, 5, 6, 9, or four of them
46 - 4 = 42 is the answer.
