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3 years ago

157 29 Marks

Mathematics

1 answer:

AlekseyPX3 years ago

3 0

Complete question :

Put these fraction in order of size smallest to largest : 7/10, 2/3, 4/5, 11/15

Answer:

2/3, 7/10, 11/ 15, 4 /5

Step-by-step explanation:

In other to make solving the question easier, we can convert the fractions to decimal in other to make comparison easier :

7/10 = 0.7

2/3 = 0.667

4 /5 = 0.8

11 /15 = 0.733

Using the placement or how the numbers will appear to the right of a number line ;

0.667, 0.7, 0.733, 0.8

Thus we have :

2/3, 7/10, 11/ 15, 4 /5

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2 years ago

A four line classified ad costs 25 for a week. Each additional line costs 2. What is the weekly cost for a 12 line ad

faust18 [17]

Answer: 41

Step-by-step explanation:

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2 years ago

What is the fully simplified answer to sqrt(7/18) + sqrt(5/8) - sqrt(7/2)

NeX [460]

Answer:

$=\frac{-4\sqrt{7}+3\sqrt{5}}{6\sqrt{2}}$

Step-by-step explanation:

Given expression as:

$=\sqrt{\frac{7}{18}}+\sqrt{\frac{5}{8}}-\sqrt{\frac{7}{2} }$

We need to simplify the given expression.

Solution:

We have:

$=\sqrt{\frac{7}{18}}+\sqrt{\frac{5}{8}}-\sqrt{\frac{7}{2} }$

Rewrite the expression as:

$=\frac{\sqrt{7}}{3\sqrt{2}} - \frac{\sqrt{7}}{\sqrt{2}} +\frac{\sqrt{5}}{2\sqrt{2}}$

$\frac{\sqrt{7}}{\sqrt{2} }$ is a common factor to the first two terms.

Using distributive property we can factor out $\frac{\sqrt{7}}{\sqrt{2} }$ from the first two terms.

$=\frac{\sqrt{7}}{\sqrt{2}}(\frac{1}{3} -1) +\frac{\sqrt{5}}{2\sqrt{2}}$

$=\frac{\sqrt{7}}{\sqrt{2}}(\frac{1-3}{3}) +\frac{\sqrt{5}}{2\sqrt{2}}$

$=\frac{\sqrt{7}}{\sqrt{2}}(\frac{-2}{3}) +\frac{\sqrt{5}}{2\sqrt{2}}$

$=-\frac{2\sqrt{7}}{3\sqrt{2}} +\frac{\sqrt{5}}{2\sqrt{2}}$

$\sqrt{2}$ is common factor, so we can factor $\sqrt{2}$ from the above expression.

$=\frac{1}{\sqrt{2} }( -\frac{2\sqrt{7}}{3} +\frac{\sqrt{5}}{2})$

$=\frac{1}{\sqrt{2} }( \frac{-2\times 2\sqrt{7}+3\times \sqrt{5}}{6})$

$=\frac{1}{\sqrt{2} }( \frac{-4\sqrt{7}+3\sqrt{5}}{6})$

$=\frac{-4\sqrt{7}+3\sqrt{5}}{6\sqrt{2}}$

Therefore, we get simplified answer as.

$=\frac{-4\sqrt{7}+3\sqrt{5}}{6\sqrt{2}}$

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4 years ago

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