Answer:
Step-by-step explanation:
<u>Reading rate is y pages per x minutes and proportional relationship formula is:</u>
<u>The coefficient is:</u>
<u>Let's verify if the given numbers fit into the same relationship:</u>
- 12/18 = 2/3
- 8/12 = 2/3
- 20/30 = 2/3
We confirm all same and it means k = 2/3
<u>Required equation is:</u>
This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages
Answer:
x = ±2sqrt(15)
Step-by-step explanation:
x^2 = 60
Take the square root of each side
sqrt(x^2) = ±sqrt(60)
x = ±sqrt(60)
x = ±sqrt(4 *15)
x = ±2sqrt(15)
Answer:
Step-by-step explanation:
4/x + 4/(x²-9) = 3/(x - 3)
4 / x + 4 / [( x - 3) ( x + 3 )] = 3 / ( x - 3 ) / * x ( x - 3 ) ( x + 3 )
Restrictions : x ≠ 0, x ≠ - 3 , x ≠ 3;
4 ( x + 3 ) ( x - 3 ) + 4 x = 3 x ( x + 3 )
4 ( x² - 9 ) + 4 x = 3 x² + 9 x
4 x² - 36 + 4 x - 3 x² - 9 x = 0
x² - 5 x - 36 = 0
x² - 9 x + 4 x - 36 = 0
x ( x - 9 ) + 4 ( x - 9 ) = 0
( x - 9 ) ( x + 4 ) = 0
x - 9 = 0, or : x + 4 = 0
Answer:
x = 9, x = - 4
Answer: 5 games
Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.
I believe that the answer would be 27%
