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koban [17]
3 years ago
7

Which equation can be used to represent “six added to twice the sum of a number and four is equal to one-half of the difference

of three and the number”?
Mathematics
2 answers:
slega [8]3 years ago
7 0

Answer:

The required equation is 6+2(x+4)=\frac{1}{2}(3-x).

Step-by-step explanation:

Let x be the unknown number.

We have to find the equation for the statement “six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”.

Twice the sum of a number and four = 2(x+4)

Six added to twice the sum of a number and four is equal = 6+2(x+4)

Difference of three and the number = (3-x)

One-half of the difference of three and the number = \frac{1}{2}(3-x).

Since six added to twice the sum of a number and four is equal to one-half of the difference of three and the number, therefore

6+2(x+4)=\frac{1}{2}(3-x)

Hence, the required equation is 6+2(x+4)=\frac{1}{2}(3-x).

soldi70 [24.7K]3 years ago
5 0
Hello!

You could write this equation as seen below.

6+2(x+4)=0.5(3-x)

I hope this helps!
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Answer:

The values for expression is h = - 2 and k = 5

Step-by-step explanation:

Given algebraic expression can be written as :

2 x³ - 10 x² + 11 x - 7 = ( x - 4 ) × ( 2 x² + h x + 3 ) + k

Now opening the bracket

Or, 2 x³ - 10 x² + 11 x - 7 = x × ( 2 x² + h x + 3 ) - 4 × ( 2 x² + h x + 3  ) + k

Or, 2 x³ - 10 x² + 11 x - 7 = 2 x³ + h x² + 3 x - 2 x² - 4 h x - 12  +k

Or , 2 x³ - 10 x² + 11 x - 7 = 2 x³ + ( h - 2 ) x² + ( 3 - 4 h ) x - 12  + k

Now, equating the equation both sides

I.e  - 10 =  ( h - 2 )

Or , h - 2 = - 10

I.e , h = - 10 + 2

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Again , 11  = ( 3 - 4 h )

or, 11 = 3 - 4 h

or, 11 - 3 = - 4 h

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Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

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Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:

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White missing:

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