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timurjin [86]
3 years ago
14

Ten less than half of a number(x) is 6.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0

Answer:

x = 32

Step-by-step explanation:

Given the following data;

Unknown number = x

Translating the word problem into an algebraic equation, we have;

\frac {x}{2} - 10 = 6

Lowest common denominator (LCD) = 2

We multiply all through by 2;

2* \frac {x}{2} - 2*10 = 2*6

x - 20 = 12

x = 12 + 20

x = 32

Therefore, the unknown number is 32.

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A store decreases the price of a sofa by 16% this month only, to $5200. What was the price before the
zheka24 [161]

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Answer:

  $6190.48

Step-by-step explanation:

The price is now 1 -16% = 84% of the original price (p).

 $5200 = 0.84p

  p = $5200/0.84 = $6190.48

The price before the discount was $6190.48.

3 0
3 years ago
What is the value of 6n-2
ad-work [718]
<span>Factor <span><span>6n</span>−2
</span></span><span><span>6n</span>−2
</span><span>=<span>2<span>(<span><span>3n</span>−1</span>)
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3 years ago
What is the value of the x in the figure? Plz help ASAP
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4 0
2 years ago
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Ryan está haciendo pequeños panes de carne. El pan de carne pequeño de Eaclh utiliza 3/4 de libra de carne. ¿Cuánta carne necesi
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3 years ago
Solve for x.
Ivahew [28]
ANSWER

x=\frac{2-\sqrt{10}} {3}

or

x=\frac{\sqrt{10}+2} {3}

We have

3x^2-4x-2=0

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

3x^2-4x=2

Dividing through by 3 gives

x^2-\frac{4}{3}x= \frac{2}{3}

Adding (-\frac{2}{3})^2 to both sides gives

x^2-\frac{4}{3}x+(-\frac{2}{3})^2= \frac{2}{3}+(-\frac{2}{3})^2

The expression on the Left Hand side is a perfect square.

(x-\frac{2}{3})^2= \frac{2}{3}+\frac{4}{9}

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\Rightarrow (x-\frac{2}{3})=\pm \sqrt{\frac{10}{9}}

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Splitting the plus or minus sign gives

x=\frac{2- \sqrt{10}} {3}

or

x=\frac{\sqrt{10}+2} {3}
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