if you are multiplying by 5, then the blue needs to be 25 quarts and the yellow needs to be 15 quarts not 9. If you are multiplying by 3 then it would be 9 quarts yellow and 15 quarts blue. hope this helps :)
Answer:
(a) (x+1)(x-1)
(b)(3x+1)(3x-1)
(c) (x+3)(x+5)
(d)(2x+5)(2x+3)
(e)(x+y)(x-y)
(f) 
Step-by-step explanation:
We have to factorize the following expressions:
(a) x²-1 =(x+1)(x-1) (Answer) {Since we know the formula (a²-b²) =(a+b)(a-b)}
(b) 9x²-1 =(3x+1)(3x-1) (Answer) {Since we know the formula (a²-b²) =(a+b)(a-b)}
(c) x²+8x+15 = x² +3x+5x+15 =(x+3)(x+5) (Answer)
(d) 4x²+16x+15 =4x²+10x+6x+15 = 2x(2x+5) +3(2x+5) =(2x+5)(2x+3) (Answer)
(e) x²-y² =(x+y)(x-y) (Answer)
(f)
(Answer) {Since we know the formula (a²-b²) =(a+b)(a-b)}
Answer:
24
Step-by-step explanation:
Given the following :
Dimension of fabric = 48 by 168
What is the length of the largest square pieces into which shelly and mickelle can cut the fabric?
To obtain this, find the greatest common factor of both numbers in the dimension:
Using the table format:
___ _48 ____168
_ 2__24 ____ 84
_2__12 _____42
_2__6 _____ 21
_3__3______ 7
Since there is no number which can divide both anymore
The greatest common factor = (2 * 2 * 2 * 3) = 24
Answer: with 133.33 acres of trees
Step-by-step explanation:
4 acres of trees, is a 97% decrease of the previous amount.
This means that if the previous amount was X, then 4 acres is 3% (or 0.03 in decimal form) of X, or:
4 acres = 0.03*X
Now we can solve this for X as:
X = 4acres/0.03 = 133.33 acres
The illegal loggers got away with 133.33 acres of trees
Each part of diagram Venn is shown below
We have:
Total students = 800
Students in Gymnastic team = 20
Students in Chess team = 10
Students in both team = 3
The Venn diagram showing these values is shown in the second picture below