Please help me with this question thankyou.

Mathematics

1 answer:

Ratling [72]3 years ago

4 0

Since the budget is 4500 dollars per month, and every month is made of 4 weeks, the weekly budget is

$\dfrac{4500}{4} = 1125\$$

We know that Mr Gleason takes home 900$ per week, so he almost make the whole budget: there are only $1125 - 900 = 225 \$$ left.

If Mrs Gleason brings home 9 dollars per hour, she'll have to work

$\dfrac{225}{9} = 25$ hours per week.

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How do you know that the decimal gor 2/11 repeats without ending

lutik1710 [3]

Step-by-step explanation:

When we factorise the denominator into prime factors and there are only numbers 2 and 5, the decimal is finite.

Otherwise the decimal is infinite repeating.

Examples:

$\dfrac{3}{20}\\\\20=2\cdot2\cdot5\to\text{decimal is finite}\\\\\dfrac{3}{20}=3:20=0.15\\---------------------\\\dfrac{7}{40}\\\\40=2\cdot2\cdot2\cdot5\to\text{decimal is finite}\\\\\dfrac{7}{40}=7:40=0.175\\---------------------\\\dfrac{5}{12}\\\\12=2\cdot2\cdot3\to\text{decimal is infinite r}\text{epeating}\\\\\dfrac{5}{12}=5:12=0.41666...=0.41\overline{6}$

We have

$\dfrac{2}{11}\\\\11-\text{prime number}\\\\\text{the decimal is infinite r}\text{epeating}$

8 0

2 years ago

Please find the value of this one expression

Masja [62]

Answer:

Solving the expression $\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)$ we get 6

The answer is 6.

Step-by-step explanation:

We need to find value of expression: $\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)$

We know that $\sqrt{81}=9$

Our expression will become

$\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{9 } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-2 -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-4)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4$