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3 years ago

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Claire and Lauren are sisters. Their mom gives them each a weekly allowance. Claire gets $5 more than Lauren a week. How much do

es each sister get paid for their weekly allowance?

1 answer:

valkas [14]3 years ago

5 0

We don't know the amount they get but the equation would be Claire 5 + a

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Evaluate - 4/8 ./. 8 2/3

LenaWriter [7]

Answer:

The answer is 13/3.

Step-by-step explanation:

8 2/3 is an improper fraction and is expressed as 26/3. CCF (copy, change, flip) is then applied to the division statement and 26/3 to becomes 4/8*26/3. The final answer is 104/24 which simples to 13/3.

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2 years ago

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Step-by-step explanation:

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3 years ago

Endeye needs to split 1/5 of the dinner left over from last week to feed her 3 siblings. What fraction of the original dinner wi

aleksandr82 [10.1K]

Answer:

<u><em>They each had </em></u><u><em>1/20 of the original meal</em></u>

Step-by-step explanation:

<u><em>To begin, </em></u><u><em>there are 4 people</em></u><u><em>. Her siblings, and herself. She is </em></u><u><em>splitting the 1/5 leftover</em></u><u><em> to feed them. To do this, we simply </em></u><u><em>take 1/5 and put it into a fraction to get 0.2</em></u><u><em>. Next, we can </em></u><u><em>put 0.2 / 4 into a calculator</em></u><u><em> to get how much each person can get.</em></u>

<u><em>0.2 / 4 = 0.05.</em></u>

<u><em>Now, we need to </em></u><u><em>turn it into a fraction</em></u><u><em> to find out how much they had in fraction form of the original.</em></u>

<u><em>0.05 = 1/20</em></u>

<u><em>They each had </em></u><u><em>1/20 of the original meal</em></u>

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2 years ago

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3 years ago

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BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

<u><em>verification </em></u>:-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

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2 years ago