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Colt1911 [192]
3 years ago
13

What's 0.4 in a fraction in the simplest form?

Mathematics
2 answers:
bezimeni [28]3 years ago
5 0
0.4=\frac{4}{10}=\frac{4:2}{10:2}=\boxed{\frac{2}{5}}
-BARSIC- [3]3 years ago
5 0

Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction \frac{4}{10}. Notice however that the fraction is not in lowest terms. We will need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2. Therefore, 0.4 can be written as the fraction \frac{2}{5}, which is in lowest terms.

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Classify the following triangle.
hichkok12 [17]

Answer:

right angle. little box in the corner tells you its a right angle

8 0
3 years ago
1/2(5x-6)-1/3(9x-15)+1
djverab [1.8K]

1/2(5x-6)-1/3(9x-5)+1

5/2x-3-3+5+1     distribute

5/2x-6+5+1        combine like terms

5/2

6 0
3 years ago
Read 2 more answers
as of a certain date there has been a total of 18072 performances of two show on broadway with 2892 more performances of show A
Nataly_w [17]
Answer:
A = 10,482
B = 7,590

Explanation:

If A is the number of times show A was performed, and B is the number of times show B was performed:

We know that A + B = 18072
And we know A = B + 2892

So we’ll substitute the expression (B + 2892) for A in the first equation and solve for a numerical value of B:

A + B = 18072
B + 2892 + B = 18072
2B + 2892 = 18072
2B = 15,180
B = 7,590

A = B + 2892
A = 7590 + 2892
A = 10,482

Check the math
A + B = 18072
10,482 + 7,590 = 18,072

Let me know if you have questions
3 0
3 years ago
The number of nuts in a can of mixed nuts is found to be normally distributed, with a mean of 500 nuts and a standard deviation
timofeeve [1]

Answer:

z = -2.85

Step-by-step explanation:

Since the number of nuts per can is normally distributed:

Mean number of nuts (μ)= 500 nuts

Standard Deviation (σ)= 20 nuts

X = 443 nuts

For any given number of nuts X, the z-score is given by:

z=\frac{X-\mu}{\sigma} =\frac{443-500}{20}\\z= -2.85

The z-score for this can of nuts with 443 nuts is -2.85.

3 0
3 years ago
Read 2 more answers
Given g(x)=sqrt x-4 and h(x)=2x-8 what is (g(h(10))<br> HELP ME I AM .3 POINTS AWAY FROM PASSING.
Whitepunk [10]

<span><span>The answer (<span>g<span>(x)</span></span>)</span>=x−7</span>

<span><span>g<span>(<span>f<span>(x)</span></span>)</span></span>=<span>√<span><span>x2</span>−7</span></span></span>

Explanation:

Put g inside f to find <span>f<span>(<span>g<span>(x)</span></span>)</span></span>

<span><span>f<span>(x)</span></span>=<span>x2</span>−4</span>

<span><span>g<span>(x)</span></span>=<span>√<span>x−3</span></span></span>

<span><span>f<span>(<span>g<span>(x)</span></span>)</span></span>=<span><span>(<span>√<span>x−3</span></span>)</span>2</span>−4</span>

<span><span>f<span>(<span>g<span>(x)</span></span>)</span></span>=x−3−4</span>

<span><span>f<span>(<span>g<span>(x)</span></span>)</span></span>=x−7</span>

Put f inside g to find <span>g<span>(<span>f<span>(x)</span></span>)</span></span>

<span><span>g<span>(x)</span></span>=<span>√<span>x−3</span></span></span>

<span><span>f<span>(x)</span></span>=<span><span>x2</span>−4</span></span>

<span><span>g<span>(<span>f<span>(x)</span></span>)</span></span>=<span>√<span><span><span>x2</span>−4</span>−3</span></span></span>

<span><span>g<span>(<span>f<span>(x)</span></span>)</span></span>=<span>√<span><span>x2</span>−7</span></span></span>:

The answers are <span><span>f<span>(<span>g<span>(x)</span></span>)</span></span>=x−7</span> 
and <span><span>g<span>(<span>f<span>(x)</span></span>)</span></span>=<span>√<span><span>x2</span>−7</span></span></span>

Explanation:

This is a composition of functions.

<span><span>f<span>(x)</span></span>=<span>x2</span>−4</span>

<span><span>g<span>(x)</span></span>=<span>√<span>x−3</span></span></span>

<span>fo<span>g<span>(x)</span></span>=<span>f<span>(<span>g<span>(x)</span></span>)</span></span>=<span>f<span>(<span>√<span>x−3</span></span>)</span></span>=<span><span>(<span>√<span>x−3</span></span>)</span>2</span>−4</span>

<span>=x−3−4=x−7</span>

And

<span>go<span>f<span>(x)</span></span>=<span>g<span>(<span>f<span>(x)</span></span>)</span></span>=<span>g<span>(<span>x2</span>−4)</span></span>=<span>√<span><span>(<span>x2</span>−4)</span>−3</span></span></span>

<span>=<span>√<span><span>x2</span>−4−3</span></span>=<span>√<span><span>x2</span>−7</span></span></span>

You can see that

<span><span>f<span>(<span>g<span>(x)</span></span>)</span></span>≠</span>g(f(x))


7 0
4 years ago
Read 2 more answers
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