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Over [174]
3 years ago
14

Solve and show your work for each question. What is 0.(24) ̅ ̅ expressed as a fraction in simplest form? What is 0.24 ̅ expresse

d as a fraction in simplest form?
Mathematics
1 answer:
Elden [556K]3 years ago
8 0
The answer to this question is 24/99. 0.24 with 24 repeating in fractional form is 24/99. You put a 9 in the denominator for every repeating digit.
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A spinner has 10 numbered sections. The arrow on the spinner was spun 30 times, and the results are recorded in the table. Based
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I can’t understand the question can you write it more clearly?
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Solve the following equation for the
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Divide -3
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the length of a rectangle is 3cm more than the width. find the length and the width if the perimeter of the rectangle is 98cm.
laila [671]

The perimeter of a rectangle is <u>length + length + width + width</u>.

We know that the length of a rectangle is 3cm more than its width, which gives us the equation:  (l for length and w for width)

l = 3 + w

We also know that the perimeter of the rectangle is 98cm, which gives us the equation:

98 = 2l + 2w         (equation for perimeter of a rectangle as noted above)

We can divide both sides of this equation by 2 to get:

49 = l + w

Now we'll stick l = 3 + w into the above equation, which gives us:

49 = 3 + w + w

which simplifies to 49 = 3 + 2w.

Now we'll subtract 3 from both sides:

49 - 3 = 46

3 + 2w - 3 = 2w

which gives us 46 = 2w.

Dividing both sides by 2 gives us 23 = w.

Substituting w = 23 into the equation l = 3 + w gives us:

l = 3 + 23

l = 26cm.

Let's check our answer.  26cm is 3cm more than 23cm.  26cm + 26cm + 23cm + 23cm gives us 98cm.  The length is 26cm and the width is 23cm.


7 0
3 years ago
Delphine has to place 64 bottles of water on a banquet table. it must have a way to fill a rectangular. what are the possible ar
tangare [24]

Answer:

Since 64= 2^6, you have the following arrangements.

Optional: 64 \times 1 (and it's mirror version 1 \times 64, if you want to consider a long strip of bottles a rectangle. Technically it is, but it's open to interpretation.

32 \times 2 and it's mirror 2 \times 32;

16 \times 4 and it's mirror 4 \times 16;

Optional: 8 \times 8. Since a square is a rectangle with extra limitations.

6 0
2 years ago
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