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Illusion [34]
3 years ago
15

There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate? *

Mathematics
2 answers:
bulgar [2K]3 years ago
5 0

Answer:

<h3>                \bold{\dfrac8{15}}  of the cake       </h3>

Step-by-step explanation:

\dfrac45-\dfrac13\cdot\dfrac45=\dfrac{4\cdot3}{5\cdot3}-\dfrac4{15}=\dfrac{12}{15}-\dfrac4{15}=\dfrac8{15}

tatyana61 [14]3 years ago
3 0
There was 3/3 of the cake left
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If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:

8² + 15² = 17²

If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time.  But for now let's just exhaustively check the Pythagorean Theorem for each triangle.  We don't have to multiply everything out; we can analyze the common factors.  If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.

Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.

6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.

15²-5² is a multiple of 5, 13² isn't, no joy.

8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.

5 0
3 years ago
Please select the best answer and click submit Solve kx-4=9 for x
shepuryov [24]

Answer:

Option B. x = \frac{13}{k}.

Step-by-step explanation:

The given equation is kx - 4 = 9

We will add 4 on both the sides of the equation

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Now we will divide by k on both the sides of the equation

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6 0
3 years ago
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Setler79 [48]

Answer:

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<em>5/6</em>

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Answer:

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