Solve for x.

5x−5=50


(1 point)
Responses

275
275

9
9

10
10

11

5 answers

To solve the equation \( 5x - 5 = 50 \):

  1. Add 5 to both sides: \[ 5x - 5 + 5 = 50 + 5 \] \[ 5x = 55 \]

  2. Divide both sides by 5: \[ x = \frac{55}{5} \] \[ x = 11 \]

So, the solution is \( x = 11 \).

The correct response is 11.

What is the value of x when −3x+9=−19?
(1 point)
Responses

-9
-9

9
9

3 2/3
3 and 2 thirds

−3 2/3
negative 3 and 2 thirds

To solve the equation \(-3x + 9 = -19\):

  1. Subtract 9 from both sides: \[ -3x + 9 - 9 = -19 - 9 \] \[ -3x = -28 \]

  2. Divide both sides by -3: \[ x = \frac{-28}{-3} \] \[ x = \frac{28}{3} \]

Converting \(\frac{28}{3}\) into a mixed number gives: \[ 28 \div 3 = 9 \quad \text{remainder } 1 \] \[ \frac{28}{3} = 9 \frac{1}{3} \]

Thus, the value of \(x\) is approximately 9.33, or as a mixed number: \[ x = 9 \frac{1}{3} \]

None of the provided options match precisely, but if interpreting \(9\) as representing \(9 \frac{1}{3}\) is acceptable, that would be the closest fit. However, if we strictly consider the values presented, it seems a mistake may have occurred in values.

The correct calculation indicates \(x = 9 \frac{1}{3}\) or approximately \(9.33\).

If sticking to exact expressions without comparison, none exactly match. But the mathematical finding is evidently \(x = 9 \frac{1}{3}\) or about \(9.33\).

If forced to select, the response "9" would be nearest to \(x\) as a rounded answer, but with reservations about its precision versus option choices.

Which graph best represents the solution to 12x−2=3
?(1 point)
Responses

Skip to navigation

page 4 of 4

To solve the equation \(12x - 2 = 3\):

  1. Add 2 to both sides: \[ 12x - 2 + 2 = 3 + 2 \] \[ 12x = 5 \]

  2. Divide both sides by 12: \[ x = \frac{5}{12} \]

Now that we have \(x = \frac{5}{12}\), you would want to choose a graph that shows a point at \(x = \frac{5}{12}\).

On a number line, \(\frac{5}{12}\) is approximately \(0.4167\).

If you have a set of graphs to choose from, look for the one that marks \(x = \frac{5}{12}\) (or approximately \(0.42\)) distinctly, possibly with a dot or point representing the solution. If the graphs include a labeled number line, the mark should be just a bit to the right of \(0.4\) and a bit to the left of \(0.5\).

If you can describe the options available or provide images of the graphs, I could assist you in determining which one correctly represents the solution \(x = \frac{5}{12}\).