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3 years ago

Can I get some help on how to solve this?

Mathematics

1 answer:

Klio2033 [76]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

Factorise both denominators

x² + 2x = x(x + 2) ← common factor of x

x² - 4 = (x - 2)(x + 2) ← difference of squares

Before subtracting we require common denominators

Multiply the numerator/denominator of the first fraction by (x - 2)

Multiply the numerator of the second fraction by x

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

Distribute and simplify the numerator leaving the denominator

= $\frac{5x-10-2x}{x(x-2)(x+2)}$

= $\frac{3x-10}{x(x-2)(x+2)}$

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Consider the problem: Jasmine wants to buy a brand new pair of headphones that cost $99. While she already has $40 saved up, she

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The number of hours that Jasmine can work so she can afford the new headphones x = 6 weeks.

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2 years ago

But, during the same summer, teachers stopped wearing high heels; each of them became 4% shorter. Copy and fill in the chart. Te

alexgriva [62]

Answer:

It is given that,

'When the teachers stopped wearing heels, they became 4% shorter'.

So, the relation becomes,

Height without heels = Height with heels - 4% of height with heels

Then, we have,

1. Ms. Mathey is 190 cm with heels.

So, Ms. Mathey = 190-4% of 190 = 190 - 7.6 = 182.4 cm without heels

2. Mrs. Meansy is 162.5 cm with heels.

So, Mrs. Meansy = 162.5-4% of 162.5 = 162.5 - 6.5 = 156 cm without heels

3. Ms. Cool is 140 cm with heels.

So, Ms. Cool = 140-4% of 140 = 140 - 5.6 = 134.4 cm without heels

Also, the relation can be written as,

Height with heels = Height without heels + 4% of height without heels

4. Miss Short is 155.1 cm without heels

So, Miss Short = 155.1+4% of 155.1 = 155.1+6.2 = 161.3 cm with heels

5. Miss Lora is 159.8 cm without heels

So, Miss Lora = 159.8+4% of 159.8 = 159.8+6.4 = 166.2 cm with heels

Thus, the final table is,

Height with Heels Height without Heels

Ms. Mathey 190 cm 182.4 cm

Mrs. Meansy 162.5 cm 156 cm

Ms. Cool 140 cm 134.4 cm

Miss Short 161.3 cm 155.1 cm

Miss Lora 166.2 cm 159.8 cm

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3 years ago

How do u solve this step by step and also pls don’t answer unnecessarily

kari74 [83]

You have to have one side equal x so I’ll solve one from each section

e) x = 2

5x = 12 - x
add x to both sides
6x = 12
divide both sides by 6
x = 2

k) x = 3

15x + 4 = 10x + 19
move the 4 to the other side by subtracting on both sides
15x = 10x + 15
subtract 10x from both sides
5x = 15
divide by sides by 5
x = 3

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