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3 years ago

The answer as a fraction

Mathematics

2 answers:

frutty [35]3 years ago

8 0

2 is 2/15 as you just times 3 and 5 and 2 stays same

Llana [10]3 years ago

6 0

ANSWERS 2. 2/15 3. 3/14

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Simplify the expression -3 + 1/3 x + (-4.5) - 1/5x

WITCHER [35]

Answer:

Step-by-step explanation:

$-3 +\dfrac{1}{3}x - 4.5 -\dfrac{1}{5}x\\\\\\= -3 - 4.5 +\dfrac{1}{3}x - \dfrac{1}{5}x\\\\\\= - 7.5 + \dfrac{1*5}{3*5}x - \dfrac{1*3}{5*3}x\\\\\\= -7.5 +\dfrac{5}{15}x-\dfrac{3}{15}x\\\\\\= -7.5 + \dfrac{5-3}{15}x\\\\\\= -7.5 +\dfrac{2}{15}x$

6 0

2 years ago

Read 2 more answers

Help shaded parts need answers

Andrej [43]

Answer:

? i cant understand this!!!!!!!

Step-by-step explanation:

4 0

2 years ago

Shortern this expression pls

pogonyaev

Answer:

$c =\frac{8}{3}$

Step-by-step explanation:

Given

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Required

Shorten

We have:

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Rationalize

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7} * \frac{4 + \sqrt 7}{4 + \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}*\frac{4 - \sqrt 7}{4 - \sqrt 7}}$

Expand

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{4^2 - (\sqrt 7)^2}} + \sqrt{\frac{(4 - \sqrt 7)^2}{4^2 - (\sqrt 7)^2}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{16 - 7}} + \sqrt{\frac{(4 - \sqrt 7)^2}{16 - 7}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{9}} + \sqrt{\frac{(4 - \sqrt 7)^2}{9}$

Take positive square roots

$c =\frac{4 + \sqrt 7}{3} + \frac{4 - \sqrt 7}{3}$

Take LCM

$c =\frac{4 + \sqrt 7 + 4 - \sqrt 7}{3}$

Collect like terms

$c =\frac{4 + 4+ \sqrt 7 - \sqrt 7}{3}$

$c =\frac{8}{3}$

4 0

3 years ago

73, 81, 89, 75, 89, 86, 84, 78, 91, 78. What is the MAD

ruslelena [56]

89 would be the correct answer

8 0

2 years ago

An observer on the ground is x meters from the base of the launch pad of a rocket, which is at the same level as the observer. A

Firlakuza [10]

This can be solved using trigonometric functions. The distance x serves as one leg of a triangle, and makes an angle q with the hypotenuse. The distance from the tip of the rocket to the ground make up the other leg of the triangle. So solving this:

tan q = y / x

Where: y = distance from the tip of the rocket to the ground

Therefore, y = x tan q

Among the choices, the correct answer is C.

5 0

2 years ago

Read 2 more answers