Hello!
You can break this down
12 times the sum of 3 and c
This can be written as 12(3 + c)
is greater than 27
12( 3 + c) > 27
This can be simplified to 36 + 12c > 27
The answer is 12(3 + c) > 27 or 36 + 12c > 27
Hope this helps!
4n² - 15n + 14<span> is always the product of two numbers, for it to be prime number, one of these factors must be either 1 or -1.
Case n - 2 = 1
That would be n = 3
Then </span>4n² - 15n + 14<span> = 5 , which is prime.
Case n - 2 = -1
That would be n = 1
Then </span>4n<span>² - 15n + 14 = 3, which is also prime.
Case 4n - 7 = 1
That would be n = 2 and that makes other factor (n-2) zero so it's not prime
Case 4n-7 = -1
That would be n = 3/2 which is not integer, so </span>4n<span>² - 15n + 14 will not be interger.
For any other n values, </span>4n<span>² - 15n + 14 will be composite number since it is product of two factors.
Therefore we are left with n = 1 and n = 3; only two values of n.</span>
Firstly let's find hypotenuse(let it will be "n" of smaller triangle
Let use Pythagorean theorem

Now we need to find hypotenuse(x) of bigger triangle

The value of x must be rounded to 1 DP, so

Answer: x=24.1
Answer:
Since there are 4.5*10^2 grams of trash per day per person, we multiply that by 3.2*10^6 for everyone in the US and then multiply that by 365 to get how much in a year, which is 525600000000 or 5.256*10^11 (I think it's 11)
Step-by-step explanation:
Answer:
one bag is heavier and the other is lighter.
Step-by-step explanation:
5/8 = more than half a pound
1/4 = less than half a pound