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3 years ago

What is 1/8y+17+2y-118 please

Mathematics

1 answer:

Semenov [28]3 years ago

8 0

Simplify 1/8y to y/8

y/8 + 17 + 2y - 118

Collect like terms

(y/8 + 2y) + (17 - 118)

Simplify

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Prove that if a and b are integers, then a^2-4b egal or non-egal 2

Lera25 [3.4K]

Answer:

tex]a^2 - 4b \neq 2[/tex]

Step-by-step explanation:

We are given that a and b are integers, then we need to show that $a^2 - 4b \neq 2$

Let $a^2 - 4b = 2$

If a is an even integer, then it can be written as $a = 2c$ , then,

$a^2 - 4b = 2\\(2c)^2 - 4b =2\\4(c^2 -b) = 2\\(c^2 -b) =\frac{1}{2}$

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

If a is an odd integer, then it can be written as $a = 2c+1$ , then,

$a^2 - 4b = 2\\(2c+1)^2 - 4b =2\\4(c^2+c-b) = 2\\(c^2+c-b) =\frac{1}{4}$

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

Thus, our assumption was wrong and $a^2 - 4b \neq 2$ .

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3 years ago

When a shape becomes smaller, what transformation is happening?

andrezito [222]

Reflection: the object is reflected (or "flipped") across a line of reflection, which might be the x-axis, y-axis, or some other line. Dilation: the object stays the same shape, but is either stretched to become larger (an "enlargement") or shrunk to become smaller (a "reduction").

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3 years ago

Susan Marciano invested part of her 10,000 bonus in a fund that paid 10% profit and invested the rest in stocks that suffers a 3

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Susan is investment her money so she can have more money in her pocket

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4 years ago

Aaron needs 24 inches of copper wire for an experiment. The wire is sold by the centimeter. Given that 1 inch = 2.54 centimeters

tatiyna

$\frac{1}{2.54} =\frac{24}{x}$

Multiply both sides by 2.54.

$1=\frac{24}{x} (2.54)$

$= \frac{60.96}{x}$

Multiply both sides by x.

x = 60.96

Hence, Aaron needs 60.96 centimeters of wire.

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3 years ago

If 3 cups of rice serves 5 people, how many cups do you need to serve 13 people

elena-14-01-66 [18.8K]

First let's find out how many cups serve one person.

3 ÷ 5 = 1.6

1.6 of a cup serves one person.

1.6 × 13 = 20.8

It takes 20.8 (21 rounded) to serve 13 people.

3 0

3 years ago