16 divided by 2 4/5
change 2 4/5 to an improper fraction
2 4/5 = (5*2+4)/5 = 14/5
16 divided by 14/5
copy dot flip
16 * 5/14
rearrange to make the math easier
16/14 *5
8/7 *5
40/7
7 goes into 40 5 times with 5 left over
5 5/7
If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet. The perimeter is basically the distance around a figure. The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w. In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.
So, the formula is P=2l+2w. P, the perimeter, is 24, so 24=2l+2w. Let's try some values for l and see what we get for w. If the length is 1, l=1. 24=(2*1)+2w. 24=2+2w. 22=2w. w=11. So if length is 1 foot, width is 11 feet.
What if l=2? 24=(2*2)+2w. 24=4+2w. 2w=20. w=10. If l=2, w=10. And l=3? 24=(2*3)+2w. 24=6+2w. 18=2w. w=9. If l=3, w=9. Do you see a pattern? Every time we add 1 to l, we subtract 1 from w. So if l=4, w=8. If l=5, w=7. If l=6, w=6. Here, we start getting similar answers: if l=7, w=5. If l=8, w=4. Since we already know these values work, it doesn't matter whether we call it length or width. So, our answers are below.
Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
Answer: D
Step-by-step explanation:
The graph is narrower, so the coefficient of 
has an absolute value more than 1.
Also, because g(x) opens down, the coefficient of is negative.
This leaves D as the answer.
Considering the situation described, the classification of the elections is given as follows:
- David came in first place.
- Greg came in second place.
- Victor came in third place.
- Mac came in fourth place.
- Bill came in fifth place.
<h3>How to find the classification of the elections?</h3>
We take the situation that is described, and build the classification from it. The classification has the following format:
P1 - P2 - P3 - P4 - P5
With P1 being the first placed candidate, P2 being the second placed candidate, and so on until P5 which is the fifth placed candidate.
From the text given in this problem, we have that:
- Victor finished in third place, and David beat him, hence P3 = Victor, David = P1 or P2.
- Greg didn't come in first nor in last, hence, considering that Victor is P3, Greg = P2 or P4.
- Mac didn't win, but he finished higher than Bill, hence, considering that Mac didn't win and that Victor is P3, Mac = P4, Bill = P5.
- From the bullet points above, we can conclude that David = P1, Greg = P2.
Hence the places of each candidate are given as follows:
- David came in first place.
- Greg came in second place.
- Victor came in third place.
- Mac came in fourth place.
- Bill came in fifth place.
A similar problem, in which a situation is interpreted, is given at brainly.com/question/5660603
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