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: 12.8 meters long
Step-by-step explanation:
b=body length
8/1=b/1.6
8=b/1.6
b=12.8 meters long
Hi There!
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Baseball Bats:
43 x 0.45 = $19.35 as the amount off.
43 - 19.35 = $23.65 with the discount.
23.65 x 2 = $47.3 for two bats.
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Glove:
28 x 0.25 = $7 as the amount off.
28 - 7 = $21 with the discount.
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Together:
21 + 47.3 = $68.3 as the total before taxes.
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With Taxes:
68.3 x 0.055 = $3.7565 as the tax amount.
68.3 - 3.7565 = $64.5435
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Answer:
Not Rounded: $64.5435
Rounded: $64.54
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Hope This Helps :)
Answer:
5r^2+2
Step-by-step explanation:
(4r^2 – 3r + 2) – (-r^2 – 3r) =
Distribute the minus sign
(4r^2 – 3r + 2) +r^2 + 3r =
Combine like terms
(4r^2 + r^2 – 3r+ 3r + 2) =
5r^2+2
The answer is 1 5/24 or 1.20833