Answer:
She already does have more than Nick!
Step-by-step explanation:
Answer: 60 cups
Explanation:
Answer:
9x - 36 = 10
Step-by-step explanation:
3/4 x - 3 = 5/6
The least common multiple of 4 and 6 is 12.
Multiply both sides of the equation by 12.
12 * (3/4 x - 3) = 12 * 5/6
12 * 3/4 x - 12 * 3 = 10
9x - 36 = 10
They give us 2 pieces to the puzzle. Both are positive numbers...x and y.
1.) 1 number is 1 less than twice another number. (x = 2y -1)...and
2.) the sum of their squares is 106. (x^2 + y^2 = 106).
substitute the value for x into the second equation.
(2y-1)^2 + y^2 = 106
(2y-1) (2y-1) + y^2 = 106 (use distributive property)
4y^2 - 2y - 2y + 1 + y^2 = 106 (subtract 106 from both sides)
4y^2 - 2y - 2y + 1 + y^2 - 106 = 106 - 106 (combine like terms)
5y^2 - 4y - 105 = 0 (factor)
(y-5) (5y-21) = 0 (set to 0)
y - 5 = 0
y = 5
substitute the 5 into the equation for y (x = 2(5) - 1)
x = 9 if we square 9, we get 81.
subtracted from 106 we have 25...the square root of 25 is 5.
our answers are 5 and 9.
