The angles number would be 230
Answer:
The width of the rectangle is 14'8", and the length is 33'4"
Step-by-step explanation:
We're given two pieces of information:
The length is eight more than twice the width:
The perimeter is 96 feet:
We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:
We can solve for w by plugging the other two values into the last:
Now we can find the length by plugging w into the first equation:
One third of a foot is four inches, so the width is 14'8" and the length is 33'4"
To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:
So we know our answer's correct
Answer:
Step-by-step explanation:
1. reg pay: 8.96,week days: 1.5 overtime pay, sat: double pay, sun: triple pay
38 hrs regular pay : 38 * 8.96 = 340.48
15 hrs overtime during week : 15 * 1.5(8.96) = 15 * 13.44 = 201.60
3 hrs overtime on saturday: 3 * 2(8.96) = 3 * 17.92 = 53.76
2 hrs overtime on sunday: 2 * 3(8.96) = 2 * 26.88 = 53.76
Gross wage = (340.48 + 201.60 + 2(53.76) = 649.60 <====
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2. reg pay : 14.60, weekday pay: 1.25,sat pay: 1.5 , sun pay: double
(a) basic wage = 40(14.60) = 584 <==
(b) overtime wage : 15 * 1.25(14.60) + 6 * 1.5(14.60) + 5 * 2(14.60) = (15 * 18.25) + (6 * 21.9) + (5 * 29.2) = 273.75 + 131.40 + 146 = 551.15 <==
(c) gross wage : 584 + 551.15 = 1135.15 <==
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3. basic work wk: 40 hrs...earned 518...overtime 148
(a) basic pay rate : (518 - 148) / 40 = 370/40 = 9.25 per hr <==
(b) if overtime is paid for at double time.....so overtime pay is (2 * 9.25) = 18.50 per hr....and he got paid 148....148/18.5 = 8 hrs <==
To compare fraction sizes, you have to make sure the denominators of the fractions are the same. You must find a number that is a multiple of all the denominators we currently have (15, 3, 12, 9)
The smallest number that fits this is 540
Now you must multiply the numerator and denominator of each fraction by the number that makes the denominator 540
So, for 7/15 , we multiply the top and bottom by 36, since you need to multiply 15 by 36 to get 540. This means the fraction you end up with is 252/540
For 2/3, we multiply the top and bottom by 180, since you need to multiply 3 by 180 to get 540.This means the fraction you end up with is 360/540
For 11/12, we multiply the top and bottom by 45, since you need to multiply 12 by 45 to get 540. This means that the fraction you end up with is 495/540
For 5/9, we must multiply the top and bottom by 60, since you need to multiply 9 by 60 to get 540. This means that the fraction you end up with is 300/540
Now that the hard part is out of the way, you have four fractions: 252/540, 360/540, 495/540 and 300/540. Now, you can arrange the fractions in ascending order just based on their numerator.
So, the order would be: 252/540, 300/540, 360/540, 495/540
Now, for the final step, just convert them back to the original fractions.
So, the final answer is:
7/15, 5/9, 2/3, 11/12
Hope I helped!! xx
