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:
The answer is "Option A"
Step-by-step explanation:
The Side Angle Side postulates if the two sides, as well as the angle of a triangular, are two sides consistent as well as the angle of a separate triangle included, the two triangles are compatible.
In this situation, the triangle ABC contains two sides AC and BC, with angle C included but which corresponds with both the sides BD and BC, as well as the angle B included in the triangle BCD Added.
Answer:
The probability is 0.8
Step-by-step explanation:
The key to answering this question is considering the fact that the two married employees be treated as a single unit.
Now what this means is that we would be having 8 desks to assign.
Mathematically, the number of ways to assign 8 desks to 8 employees is equal to 8!
Now, the number of ways the couple can interchange their desks is just 2 ways
Thus, the number of ways to assign desks such that the couple has adjacent desks is 2(8!)
The number of ways to assign desks among all six employees randomly is 9!
Thus, the probability that the couple will have adjacent desks would be ;
2(8!)/9! = 2/9
This means that the probability that the couple have non adjacent desks is 1-2/9 = 7/9 = 0.77778
Which is 0.8 to the nearest tenth of a percent
Answer:
C
Step-by-step explanation:
(a)
2 : 4 ( divide both values by 2)
= 1 : 2
3 : 6 ( divide both values by 3 )
= 1 : 2
Thus 2 : 4 = 3 : 6
(b)
3 : 9 ( divide both values by 3 )
= 1 : 3
Thus 1 : 3 = 3 : 9
(c)
4 : 6 ( divide both values by 2 )
= 2 : 3 ≠ 3 : 2
(d)
10 : 2 ( divide both values by 2 )
= 5 : 1
Thus 5 : 1 = 10 : 2
What I did was turn ¾ in to a fraction (which is 75%) then turned it into a decimal (.75)
then I multiplied .75 by 1.20 and .9
So she spent 90 cents on apples
Hope I helped :)
