Answer:
Step-by-step explanation:
To begin factoring the expression 
, we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into two or more values. We start to find it by factoring each term:
Remember -10 can factor into smaller numbers but since it doesn't have common factors with the others, we've chosen to leave it as -10.
We notice the only common factors bare p*p or 
.
We write in the form p^2(____+_____+_____). We find the inside of the parenthesis by dividing each term by p^2.
.
We are not finished yet. We have a trinomial (3 terms) which also factors. We factor by splitting the middle term 3p into factors of -10 which add to 3.
--10 = 5 * -2
3p= 5p +-2p
We write .
Answer:
she can around 9.90 skeins of yarn with the 25 bux
Step-by-step explanation:
Answer:
495 milliliters of the 95% mixture are needed.
Step-by-step explanation:
Given that I need a 90% alcohol solution, and on hand I have a 55 ml of a 45% alcohol mixture, and I also have 95% alcohol mixture, to determine how much of the 95% mixture will I need to add to obtain the desired solution, the following calculation must be performed:
55 x 0.45 + 45 x 0.95 = 67.5
25 x 0.45 + 75 x 0.95 = 82.5
15 x 0.45 + 85 x 0.95 = 87.5
10 x 0.45 + 90 x 0.95 = 90
10 = 55
90 = X
90 x 55/10 = X
4,950 / 10 = X
495 = X
Thus, 495 milliliters of the 95% mixture are needed.
Answer:
X = 
= 
Step-by-step explanation:
12X-2+(-102)=180
First let's gather all the terms on one side and the integers on the other.
12X = 180 + 102 + 2
12X = 284
Solve for X by dividing by 12.
12X/12 = 284/12
X =
Which can be simplified:
= 23.66666667
