18 is the least common denominator of all the fractions, so you can eliminate fractions by multiplying the equation by 18.
(4.5*18)x +((7/9)*18)x + (2 1/3)*18 + ((1/6)*18)x = (5 1/18)*18
81x +14x +42 +3x = 91 . . . . . simplify
Collect terms.
98x + 42 = 91
98x = 49 . . . . . . . . . subtract 42
x = 49/98 = 1/2
The solution is x = 1/2.
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You can also do the arithmetic with mixed numbers and fractions. The usual methods apply.
(4.5 + 7/9 + 1/6)x + 2 1/3 = 5 1/18
(49/9)x + 7/3 = 91/18
(49/9)x = 49/18 . . . . . . . subtract 7/3
x = (9/49)(49/18) = 9/18 = 1/2 . . . . . multiply by 9/49
This can be a little more tedious than the method above, but it works and it will give you the right answer. A calculator that works with fractions can make this solution as easy as the other one.
Answer:
Remember, we did not necessarily round up or down, but to the hundred that is nearest to 32. When rounding to the nearest hundred, like we did with 32 above, we use the following rules: A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
Step-by-step explanation:
Answer:
50.27
Step-by-step explanation:
perimeter= length of arc + 2r= 14.28
length of arc= rx where x is the angle which is pi/2
radius =4
area= pi* r^2= 50.27
The answer is 221. And it’s solved with PEMDAS