Let us start dividing 30 by small prime numbers in increasing order .
the smallest prime number we use is 2
Let's divide 30 by 2 quotient is 15
so we get : 30 = 2* 15
15 is not a prime number , it can be factorized further .
now we start dividing 15
2 can not divide 15 so we move to next prime number that is 3
can 3 divide 15? yes .
we get a quotient 5
so 30 is now : 2* 15 = 2* 3*5
now we have to work on 5 but 5 is a prime number so we stop here .
the prime factorization of 30 is : 2* 3* 5
Answer : 2 *3*5
Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.
Step-by-step explanation:
Since here S represents the number of batches of spaghetti and L represents the total number of lasagna.
And, the chef planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.
Which is shown by the below inequality,
----------(1)
And, 
--------(2)
By putting S = 10 and L = 4 in the inequality (1),
⇒ 
(true)
Thus, for the values S = 10 and L = 4 the inequality (1) is followed.
Again By putting S = 10 and L = 4 in the inequality (2),
⇒ 
( false)
But, for the values S = 10 and L = 4 the inequality (2) is not followed.
Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.
Answer:
y=8x
Step-by-step explanation:
To find the slope, or m, pick 2 points.
I chose (0, 0) and (2, 16)
The use the slope formula
16-0/2-0
16/2
8
to find the y-intercept, or b, find the point where the line crosses the y-axis, which is (0, 0). Take the y-coordinate, which is 0.
So,
y=8x+0
or y=8x
Answer:
32.25
Step-by-step explanation:
Lets organize out the numbers and calculate them,
so .....
Country music cd is $12
Rock music cd is 12× 2/3 = $8
Platinum edition cd is $8 x 2 = $16
add up all of the final numbers
<span>16+12+8 = $36
Your answer is
$36 </span>
