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3 years ago

Enter the fraction as a decimal

Mathematics

2 answers:

lys-0071 [83]3 years ago

8 0

Answer:

0.04

Step-by-step explanation:

To write 0.2/5 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 0.2 by 5 what we write down as 0.2/5 and we get 0.04

Andrew [12]3 years ago

7 0

$\frac { 0.2 } { 5 } \\ = \frac{0.2 \times 10}{5 \times 10} \\ = \frac{2}{50} \\ = \frac{1}{25} \\ = \boxed{0.04}$

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Find two consecutive positive even integers such that the square of the first decreased by 64 equals 3 times the second.

IRINA_888 [86]

Answer:

10 and 12

Step-by-step explanation:

let the consecutive even integers be n and n + 2 , then

n² - 64 = 3(n + 2) ← distribute parenthesis

n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )

n² - 3n - 70 = 0 ← in standard form

(n - 10)(n + 7) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 7 = 0 ⇒ n = - 7

Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12

The 2 numbers are 10 and 12

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2 years ago

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does the amount of water you can fit in a aquarium relfect the volume or the surface area of an aquarium?

scoundrel [369]

Answer:

<h2>Volume!</h2>

Step-by-step explanation:

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3 years ago

I need help on my homework

soldi70 [24.7K]

Answer:

$\displaystyle m\angle AED=32.5^\circ$

Step-by-step explanation:

<u>Angles in a Circle</u>

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2 years ago

Completing the square:

vichka [17]

Answer:

Step-by-step explanation:

Key to this method is remembering that

$(a+b)^2 = a^2 + 2ab + b^2$

So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.

6/2 = 3, so add $3^2 = 9$

$x^2+6x+9 = (x+3)^2$

So, c=9

Similarly, for the other two,

$c = (\frac{-34}{2} )^2 = (-17)^2 = 289$

You don't really have to worry about the sign, since squaring will always make it positive

$(\frac{25}{13}) ^2 = \frac{625}{169}$

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3 years ago