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:
7. B 8. C 9. C
Step-by-step explanation:
7. y is greater than because the area above the line is shaded and since the line is dashed there it's not greater than or equal to.
8. C provides the correct y values for all of the x values.
9. The point (6, 3) produces -3 ≥ -8 which is the only one that is correct out of all the points provided.
The commutative property of multiplication states that the order of multiplication of numbers does not matter.
Number Sentence:
2 * 3 = 3 * 2 = 6
Answer:
Less
Step-by-step explanation:
Answer:
The correct answer is !40 cows and 28 Horses
Step-by-step explanation:
h+5h=168
6h=168
h=168/6
h=28 horses.
5*28=140 cows.
Proof:
28=140=168
168=168