We let
x as the bushels of apples used to make apple cider
y as the bushels of apples used to make apple juice

The system of equations is
x + y = 18
20x + 15y = 330

Solving for x and y
x = 12
y = 6

12 bushels of apples are needed to produce apple cider
6 bushels of apples are needed to produce apple juice

8 0

3 years ago

Write in standard form the equation of a line with a slope of -3/5 and a y intercept of -3

Vlada [557]

Answer:

5y+3x=-9

Step-by-step explanation:

Let us start by the general form of the standard equation, Ax+By=C. One way we can solve this problem is by finding the slope-intercept form of this equation, y=mx+b, and converting it into the standard equation. In the slope-intercept form, m represents the slope, b represents the y intercept.

From this problem, we are given both the slope and the y intercept. We know have the equation:

$y=-\frac{3}{5}x -3$

Great! Now let us rearrange the terms so that the y and x terms are on one side of the equation.

$y+\frac{3}{5} x=-3$

This seems right, but a standard equation must have coefficient values that are real numbers. So, A and B must be real numbers. We can do this by multiplying the entire equation by 5 and ridding the denominator of the A term.

$5y+3x=-9$

I hope this helps! Please let me know if you have any questions :)

7 0

3 years ago