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tekilochka [14]
4 years ago
5

Write 45% as a fraction in its simplest form.

Mathematics
2 answers:
BARSIC [14]4 years ago
5 0
45%=45/100

45/100 in its simplest form (achieved by, in this case, dividing both sides by 5) is 9/20.
Levart [38]4 years ago
5 0
Write 45% as a fraction in its simplest form.

45%
45 ÷ 100 = 0.45
45/100

Simplify:-

Divide numerator and denominator by GCF.
GCF = 5

45 ÷ 5 = 9
100 ÷ 5 = 20
9/20

45% = 0.45 = 45/100 = 9/20
45% as a simplified fraction is 9/20.
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A theater group made appearances in two cities. The hotel charges before tax in the second city were $1500 lower than in the fir
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Answer:

The hotel bill in the first city before tax would be $ 650

Step-by-step explanation:

Let x be the hotel charges ( in dollars ) before tax in the first city,

∵  Hotel charges before tax in the second city were $1500 lower than in the first.

So, the hotel charges in second city = ( x - 1500 ) dollars,

Now, percentage of tax in,

First city = 8%

Second city = 10%,

So, the total tax in both city = 8% of x + 10% of (x-1500)

=\frac{8x}{100}+\frac{10(x-1500)}{100}

=0.8x + 0.10(x-1500)

According to the question,

0.8x + 0.10(x-1500)=435

0.8x + 0.10x - 150 = 435

0.9x = 435 + 150

0.9x = 585

\implies x = \frac{585}{0.9}=650

Hence, the hotel bill in the first city before tax would be $ 650.

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anastassius [24]
<h3>Answer:   It is <u>not</u> a solution</h3>

======================================================

Explanation:

Plug in w = -2 and simplify.

3w ≤ -12

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The last inequality is false because -6 is neither equal to -12, nor is -6 smaller than -12. Use a vertical number line to see that -6 is above -12, so it should be -12 ≤ -6.

Since -6 ≤ -12 is false, that makes 3w ≤ -12 false when w = -2.

Therefore, w = -2 is <u>not</u> a solution to the given inequality.

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erma4kov [3.2K]

Answer:

\large\boxed{D.\ -\dfrac{1}{3}}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ ||\ k\iff m_2=m_1\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\-------------------\\\\\text{We have the slope of given line a:}\ m_1=3.\ \text{Therefore the slope of a line b}\\\text{perpendicular to a is: }\\\\m_2=-\dfrac{1}{m_1}\to m_2=-\dfrac{1}{3}

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