<span>3/4f + 5 = -5
Subtract 5 from both sides
3/4f= -10
Divide both sides by 3/4 so that the only thing remaining on the left side is the variable f.
Final Answer: f= 40/3 or 13 1/3 *Both answers are equivalent to each other.</span>
<h2>
Greetings</h2>
Answer:
Yes, they are.
Step-by-step explanation:
<h3>1st rate)</h3>
Lets simplify both rates to the rate typer per minute.
(m is minutes)
3m = 96
Divide both sides by 3:

m = 32
So the rate is 32 words per minute.
<h3>2nd rate</h3>
5m = 160
Divide both sides by 5:

m = 32
<h3>So because the rates per minute are the same, they are equivalent.</h3>
<h2>Hope this helps!</h2>
Answer:
the 12th term of the arithmetic sequence would be 13a - 12b
Step-by-step explanation:
as you can see from the sequence, it goes up by 1. 2a - b became 3a -2b as an example.
Answer:
See below
Step-by-step explanation:
Grade is slope = rise / run
a) horizontal distance 1400 ft (run) vertical distance = 40 ft (rise)
40 / 1400 = 2.85%
b) rise / run = 805.58 / 13780 = 5.84%
Answer:
#16 = (0, -10)
#17 = (-18, -3)
Step-by-step explanation:
U wouldn't use the distance formula, you would need to use the Midpoint Formula, which is, M = (x1 + x2 / 2, y1 + y2 / 2). For #16, you plug in (4, -5) for M and 8 for x1 and 0 for y1, so the equation should look like this : (4, -5) = (8 + x2 / 2, 0 + y2 / 2). Then separate the equation to make it easier: 4 = 8 + x2 / 2 and the second equation : -5 = 0 + y2 / 2. So let's do the 1st equation, the first step would be to multiply the 2 to both sides. So the equation should look like this, 8 = 8 + x. Then subtract the 8 from both sides and you get 0 as your x. Now moving on to the 2nd equation, you multiply the 2 to both sides, and you get, -10 = 0 + y, as your equation, but since 0 won't affect it, -10 should be your y. Then just use these steps to solve #17, and your answer should be (-18, -3).