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elena55 [62]
2 years ago
15

5 Write an equation for each of the following and solve it. (a) The sum of one-sixth ofx and -9 is -25.​

Mathematics
2 answers:
gregori [183]2 years ago
5 0

Answer:

\huge\boxed{\bf\: Equation \rightarrow \frac{1}{6}*x - 9 = - 25}

\huge\boxed{\bf\: Solution \rightarrow - 96}

Step-by-step explanation:

Take the variable as 'x'.

Let's breakdown the given statement.

  • ⅙th of x =⅙*x
  • The sum of ⅙*x & - 9 = ⅙*x + (-9)
  • Is equal to = ⅙*x + (-9) = - 25

Given equation,

⅙*x - 9 = - 25

By solving,

⅙*x - 9 = - 25

⅙*x = - 25 + 9

⅙*x = - 16

x = - 16 * 6

x = \boxed{\bf\: - 96}

\rule{150pt}{2pt}

wel2 years ago
3 0

Answer:

x= -96

Step-by-step explanation:

1

\frac{x}{6}  + ( - 9) =  - 25 \\  \frac{x}{6 }  =  - 25 - ( - 9) \\  \\  \frac{x}{6}  =  - 25 + 9 \\  \frac{x}{6}  =  - 16 \\ x =  - 16 \times 6 \\ x =  - 96

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Answer <u>(assuming it can be in point-slope form)</u>:

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Step-by-step explanation:

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The m represents the slope, so substitute \frac{1}{3} in its place. The x_1 and y_1 represent the x and y values of one point the line intersects, so substitute -6 for x_1 and -8 for y_1. This gives the following answer and equation (just make sure to convert the double negatives into positives:  

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3 years ago
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Which sentence can represent the inequality 2.4 (6.2 minus x) greater-than negative 4.5?
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======================================================

Explanation:

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Notice how 6.2 - x translates into "difference of six and two tenths and a number"

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