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Svetlanka [38]
2 years ago
10

-12 increased by half of a number is 28. What is the number

Mathematics
2 answers:
kicyunya [14]2 years ago
5 0

Answer:

<h2><u><em>80</em></u></h2>

Step-by-step explanation:

-12 increased by half of a number is 28. What is the number?

-12 + 1/2x = 28

1/2x = 28 + 12

1/2x = 40

x = 40 * 2

x = 80

----------------------

check

-12+ 1/2 * 80 = 28

-12 + 40 = 28

28 = 28

this answer and the other answer are good

Nadya [2.5K]2 years ago
3 0

Answer:

80

Step-by-step explanation:

28-28=0

0-12= -12

28+12 = 40

28-40 = -12

40 is the increase

40 is half of 80

So, the answer is 80

To check: -12 + 40 (half of a number; 80) = 28

Hope this makes sense. If you require further information, do not hesitate to ask!

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gladu [14]

Option C:

\frac{3 a^{2} b^{11}}{2 } is equivalent to the given expression.

Solution:

Given expression:

$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}

To find which expression is equivalent to the given expression.

$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}

Using exponent rule: \frac{1}{a^m}=a^{-m}, \ \  \frac{1}{a^{-m}}=a^{m}

    $=\frac{-18 a^{-2} b^{5}a^{4} b^{6}}{-12 }

    $=\frac{-18 a^{-2} a^{4} b^{5} b^{6}}{-12 }

Using exponent rule: {a^m}\cdot{a^n}=a^{m+n}

    $=\frac{-18 a^{(-2+4)} b^{(5+6)}}{-12 }

   $=\frac{-18 a^{2} b^{11}}{-12 }

Divide both numerator and denominator by the common factor –6.

   $=\frac{3 a^{2} b^{11}}{2 }

$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}=\frac{3 a^{2} b^{11}}{2 }

Therefore, \frac{3 a^{2} b^{11}}{2 } is equivalent to the given expression.

Hence Option C is the correct answer.

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