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9966 [12]
4 years ago
6

3 times the sum of 1/3 of a number and 8 is 11

Mathematics
1 answer:
NeTakaya4 years ago
8 0
3 ( \frac{1}{3} n+8) =11\\\\ \frac{1}{3} n+8= \frac{11}{3} \\\\  \frac{1}{3} n=\frac{11}{3} -8\\\\  \frac{1}{3} n =  \frac{-13}{3} \\\\\boxed {n=-13}
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How many 3/4 ounce spoonfuls of sugar<br> are in a 5 1/2 ounce bowl?<br> show work please
klasskru [66]

Answer: \frac{22}{3}

Step-by-step explanation: Divide

5\frac{1}{2}\div \frac{3}{4}

Step 1: Convert the mixed number to improper fraction

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= \frac{11}{2}\div \frac{3}{4}

Step 2: Reciprocal

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Step 3: Divide the common factors

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Step 4: Multiply

\frac{11\times \:2}{1\times \:3}\\\\=\frac{22}{3}

5 0
3 years ago
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3 years ago
9 m<br> 3 m<br> 3 m<br> What is the area, in square meters, of the shaded region in the diagram?
NeTakaya

Answer:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

Step-by-step explanation:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

3 0
3 years ago
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