The slope of a line that is perpendicular to y = x - 6 means that the slope has to be a negative reciprocal of the original slope
That means the slope of the line that is perpendicular to y = x - 6 is '-1'
Hope that helps!
Answer:
Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Step-by-step explanation:
Answer:
8/9
Step-by-step explanation:
To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.
Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:
'
Thus, the answer to 1/3 divided by 3/8 in fraction form is: 8/9
Answer:
it will be $80.00 and your saving $20.00
Step-by-step explanation:
Answer:
For this system of equations there is infinitely many solutions.
Step-by-step explanation:
Given the equations: -4x + 4y = 32 and 3x + 24 = 3y, we need to first get them both in standard form (Ax + By = C) in order to complete the method of elimination to solve. The first equatoin is already in standard form, however, in order to convert the second equation, we will need to use inverse operations to move the '3x' to the other side of the equation by subtraction of this term from both sides: 3x - 3x + 24 = 3y - 3x or 24 = -3x + 3y. Rearranging the equation gives us: -3x + 3y = 24. In order to use elimination to solve, we must first multiply the first equation be a factor of 3 and the second equation by a factor of -4 in order to have opposite coefficients:
3[ -4x + 4y = 32] = -12x + 12y = 96
-4{-3x + 3y = 24] = 12x - 12y = -96
You can see that if we add these too equations together, we get 0 = 0, which indicates that they are both the same line, making our answer infinitely many solutions.
