I think it would be 3 because if you divide 18/6=3
Answer:
1. 2x + 3y = 240 AND x + y = 100
Nayeli sold 60 cups of lemonade and 40 cups of orange juice.
Step-by-step explanation:
Let
Number of cups of lemonade sold = x
Number of cups of orange juice sold = y
The system of equation could be represented by:
2x + 3y = 240 (1)
x + y = 100 (2)
from (2)
x = 100 - y
Substitute into (1)
2x + 3y = 240 (1)
2(100 - y) + 3y = 240
200 - 2y + 3y = 240
- 2y + 3y = 240 - 200
y = 40 cups
Substitute y = 40 into (2)
x + y = 100 (2)
x + 40 = 100
x = 100 - 40
x = 60 cups
Nayeli sold 60 cups of lemonade and 40 cups of orange juice.
(x, y) = (60, 40)
Answer:
Step-by-step explanation:
Calculate the slope from 2 points.
Substitute either point into the equation. You can use either (3,7) or (5,11)
Solve for b, which is the y-intercept of the line.
Substitute b, -1, into the equation from step 2.
Let,the time taken by larger pipe = x
By smaller pipe = x+5
It would be: 1/x + 1/(x+5) = 9/100
= x+5+x /(x)(x+5) = 9/100
= 2x+5 / x²+5x = 9/100
= 100(2x + 5) = 9(x² + 5x)
= 200x + 500 = 9x² + 45x
= 9x² - 155x - 500 = 0
= 9x² - 180x + 25x - 500 = 0
= 9x(x - 20) + 25(x - 20) = 0
= (9x + 25) (x - 20) = 0
= x = -25/9 or x = 20
Time can't be in negative so -25/9 is rejected.
Now,x + 5 = 20 + 5 = 25
In short, Your Larger pipe takes 20 minutes and smaller pipe takes 25 minutes
Hope this helps!
