Answer: 5p - 4
5 times ‘p’ = 5p
4 less than ‘p’ = p - 4
Therefore,
=> 5p - 4
Answer:
3×5×53
Step-by-step explanation:
You can use divisibility rules to find the small prime factors.
The number ends in 5, so is divisible by 5.
795/5 = 159
The sum of digits is 1+5+9 = 15; 1+5 = 6, a number divisible by 3, so 3 is a factor.
159/3 = 53 . . . . . a prime number,* so we're done.
795 = 3×5×53
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* If this were not prime, it would be divisible by a prime less than its square root. √53 ≈ 7.3. We know it is not divisible by 2, 3, or 5. We also know the closest multiples of 7 are 49 and 56, so it is not divisible by 7. Hence 53 is prime.
Answer: D) Number of yards Jerry cuts; 0 ≤ x ≤ 10
Step-by-step explanation:
Here the given function that describes the total profit,
y = 15 x - 10
Where x represents the number of lawns Jerry cut in a week.
But, Depending homework and chores, he has time to cut at most 10 lawns a week.
Thus, x ≤ 10
Also, the number of lawns can not be negative.
Therefore, x ≥ 0
And, the value of x will decide the domain of the function y,
Thus, the domain of the given function is,
0 ≤ x ≤ 10
⇒ Option D is correct.
Answer:
find the changing y and changing x
Step-by-step explanation:
then you'll get your answer find how many numbers those numbers are going up by
Answer:
D
Step-by-step explanation:
Let the total production order be X. The combined rate is thus x/36 orders per hour.
Now, we know that the three machines are working at the same constant rate. This means that individual rate for each of the machines will be x/36 divided by 3 and that gives x/108 per machine.
Now, we are having another machine coming at the same constant rate. This means we are adding an x/108 rate to the preexisting x/36.
The new total rate thus becomes x/108 + x/36 = 4x/108
Now we know that the total new rate is 4x/108. Since the total work doesn’t change and it is still x, the time taken to complete a work of x orders at a rate of 4x/108 order per hour would be x divided by 4x/108 and this is x * 108/4x = 108/4 = 27 hours
