Answer:
Step-by-step explanation:
-60
Step-by-step explanation:
Increase in population is given by positive sign
Change in population in 5 years = -300
Decrease in population is represented by negative sign
Change in population in 1 year = -300\5
= -60
Town's population faces a decrease of 60 residents each year.
Answer: The copy machine makes 171 copies in 4 minutes and 45 seconds.
Step-by-step explanation:
Let's dissect the question. The copy machine makes 36 copies per minute.
36 per min.
To see how many copies it makes in 4 minutes and 45 seconds, we multiply 36 * 4.75. 45 seconds is 3/4ths of a minute, or 0.75 of a minute.

It makes 171 copies in 4 minutes and 45 seconds.
answer is C. 252 ft^2
split the figure into two pieces and first figure out the rectangle (shown in turquoise).
If you multiply the width and length (18*6) you should get 108.
Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.
Since E is the midpoint of DF, DE and EF are two halves of DF. First, let's write down what we know.
DE = 3x + 4
EF = 5x - 2
DE = EF
DE + EF = DF
Now, let's plug our values for DE and EF into our first expression.
3x + 4 = 5x -2
Add 2 to both sides and subtract 3x from both sides.
6 = 2x
Divide both sides by 2
3 = x
Let's plug 3 in for x into DE.
DE = 3x + 4 = 3(3) + 4 = 9 + 4 = 13
DE = EF = 13
We can plug 13 in for DE and EF to get DF
DF = DE + EF = 13 + 13 = 26