Part A: Solve –mk – 90 > 85 for m. Show your work. (4 points)
Part B: Solve 3c – 5f = 55 for f. Show your work. (6 points)
Thank you so much for the help
Part A:
To solve the inequality –mk – 90 > 85 for m, we need to isolate the variable m.
First, let's start by subtracting 90 from both sides:
–mk – 90 - 90 > 85 - 90
Simplifying, we have:
–mk > -5
Next, we'll divide both sides by -k. However, when dividing by a negative number, we need to remember that the direction of the inequality sign should be reversed.
Dividing both sides by -k and flipping the sign, we get:
m < (-5)/(-k)
m < 5/k
So the solution for m is m < 5/k.
Part B:
To solve the equation 3c – 5f = 55 for f, we need to isolate the variable f.
First, let's start by moving the term containing f to the other side of the equation by adding 5f to both sides:
3c – 5f + 5f = 55 + 5f
Simplifying, we have:
3c = 55 + 5f
Next, we'll subtract 55 from both sides:
3c - 55 = 55 + 5f - 55
Simplifying further, we get:
3c - 55 = 5f
Now, to isolate f, we'll divide both sides by 5:
(3c - 55)/5 = (5f)/5
Simplifying, we have:
(3c - 55)/5 = f
So the solution for f is f = (3c - 55)/5.
–mk – 90 > 85
-mk > 5
mk < -5
If k>0, then m < -5/k
If k<0, then m > -5k
B is easier, but done similarly.