This question is asking for a list of fractions, that when you pull out common factors, they will all simplify back to the 8/5 fraction.
So if 2 is the common factor, you multiply the numerator and denominator by 2.
2: (8*2)/(5*2)= 16/10
3: (8*3)/5*3)= 24/15
4: (8*4)/(5*4)= 32/20
5: (8*5)/(5*5)= 40/25
10: (8*10)/5*10)= 80/50
Eloise's Potential List:
16/10, 24/15, 32/20, 40/25, 80/50
If you simplify any of these fractions above, you will get 8/5 again.
To work backwards:
80/50: 10 goes into 80, 10 goes into 50= 8/5
16/10: 2 goes into 16, 2 goes into 10= 8/5
Hope this helps! :)
Answer:
3/11 for two red balls
2/11 for two green balls
Step-by-step explanation:
6 red and 5 green balls
- first ball - red= 6/11, green= 5/11
- second red ball- 5/10=1/2, second green ball- 4/10= 2/5
- Two red balls = 6/11*1/2= 3/11
- Two green balls= 5/11*2/5= 2/11
What we know: ones = 1, tens -->1x2 = 2, hundreds --> 2x2= 4, thousands --> 4x2 = 8.
8421
Answer:
(x + 1)(3x - 10)
Step-by-step explanation:
Given
3x² - 7x - 10
Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = - 7
The factors are + 3 and - 10
Use these factors to split the x- term
3x² + 3x - 10x - 10 ( factor the first/second and third/fourth terms )
3x(x + 1) - 10(x + 1) ← factor out (x + 1) from each term
(x + 1)(3x - 10), thus
y = (x + 1)(3x - 10) ← in factored form
