Answer:
p >5 or p <-8
Step-by-step explanation:
-6+|2p+3|>7
Add 6 to each side
-6+6+|2p+3|>7+6
|2p+3|>13
We get a positive and negative solution
2p +3 > 13 and 2p +3 < -13
Subtract 3 from each side
2p +3 -3> 13-3 or 2p +3-3 < -13-3
2p > 10 2p < -16
Divide by 2
2p/2 > 10/2 2p/2 <-16/2
p >5 or p <-8
Let's try to find some primes that divide this number.
The number is not divisible by 2, because it is odd.
The number is divisible by 3 though, because the sum of its digits is:

So, we can divide the number by 3 and keep going with the factorization:

This number is again divisible by 3, because

We have

This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have

And 557 is prime, so we're done. This means that the prime factorization of 65169 is

Answer:
210 cm³
Step-by-step explanation:
RULE :
the volume of the triangular prism = the area of the base × the height
= 14 × 15
= 210
To solve this problem you must apply the proccedure shown below:
1. First, you must multiply $8 by the hours given in the exercise:

2. Now, multiply the result obtained above by 4, to calculate her monthly income:
3. If 22% of her paycheck goes to taxes, you have:
![(800dollars)-[(800dollars)(0.22)]=624dollars](https://tex.z-dn.net/?f=%28800dollars%29-%5B%28800dollars%29%280.22%29%5D%3D624dollars)
Therefore, the answer is: $624