Answer:
Step-by-step explanation:
y = -4x + 6.....switch x and y and solve for y
x = -4y + 6 ....subtract 6 from both sides
x - 6 = -4y....divide by -4 on both sides
(x - 6) / -4 = y or y = -1/4x + 3/2 <====
Answer: 18 gallons.
Step-by-step explanation:
Let's call the total gallons that the container can hold <em>x.</em>
<em> </em>Then, based on the information given in the problem, you can write the following expression:

Now, you must solve for x, as you can see below. Therefore, you obtain the following result:

Answer:
14,820
Step-by-step explanation:
A year has 52 weeks. 285 x 52 = 14820
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.