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4 years ago

Shawna took a test that had a total of 20 items. She got 4/5 of the items correct. How many items did she get correct?

Mathematics

1 answer:

ehidna [41]4 years ago

4 0

Shawna got 16 items correct

Step-by-step explanation:

To find the percentage of answers or part of total answers we multiply the fraction with the total number of items.

Given

Total items on test = 20

Correct items fraction = 4/5

Then,

$Correct\ items=\total\ items * \fraction\ of\ correct\ answers\\= 20 * \frac{4}{5}\\=\frac{80}{5}\\=16$

Shawna got 16 items correct

Keywords: Percentage, fractions

Learn more about fractions at:

#LearnwithBrainly

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Read 2 more answers

Subtract rational expression. <br> Show work please.

yan [13]

Given:

$$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}$

To find:

The simplified rational expression by subtraction.

Solution:

Let us factor $x^2-1$ . It can be written as $x^2-1^2$ .

$x^2-1^2=(x-1)(x+1)$ using algebraic identity.

$$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}=\frac{x+4}{x-1}-\frac{5}{(x+1)(x-1)}$

LCM of $x-1,(x+1)(x-1)=(x+1)(x-1)$

Make the denominators same using LCM.

Multiply and divide the first term by (x + 1) to make the denominator same.

$$=\frac{(x+4)(x+1)}{(x-1)(x+1)}-\frac{5}{(x-1)(x+1)}$

Now, denominators are same, you can subtract the fractions.

$$=\frac{(x+4)(x+1)-5}{(x-1)(x+1)}$

Expand $(x+4)(x+1)-5$ .

$$=\frac{x^2+4x+x+4-5}{(x-1)(x+1)}$

$$=\frac{x^{2}+5 x-1}{(x-1)(x+1)}$

$$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}=\frac{x^{2}+5 x-1}{(x-1)(x+1)}$

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