Answer:

x/2-9=24

Explanation:

Nine less:
-9
Half a number:
x/2
So nine less than half a number:
x/2-9
Is 24:
=24

So x/2-9=24

To solve for the number:
Add 9 to both sides:
x/2-9+9=24+9
x/2=33
Multiply both sides by 2:
2(x/2)=33(2)
x=66

8 0

3 years ago

Match the numerical expressions to their simplest forms

zimovet [89]

I hope you did well on this question.

6 0

3 years ago

In which quadrants do solutions for the inequality y ≤ 2/7x +1 exist?

viktelen [127]

All four quadrants

<h2>Explanation:</h2>

We have the following inequality:

$y \leq \frac{2}{7}x+1$

So the first step we need to perform is to plot the line:

$y = \frac{2}{7}x+1$

$If \ x=0 \\ \\ y=\frac{2}{7}(0)+1 \\ \\ y=1 \\ \\ \\ If \ y=0: \\ \\ 0=\frac{2}{7}(x)+1 \\ \\ x=-\frac{7}{2}=-3.5$

So the line passes through the points:

$(0,1) \ and \ (-3.5,0)$

To find the shaded region, let us take a point, namely, the origin and test it in the inequality:

$y \leq \frac{2}{7}x+1 \\ \\ 0\leq \frac{2}{7}(0)+1 \\ \\ 0\leq 1 \ True!$

Since this is true, then the shaded region includes this point. This is shown below and <em>as you can see the solutions exist in all four quadrants.</em>

<h2>Learn more:</h2>

Inequalities: brainly.com/question/12890742

#LearnWithBrainly

3 0

3 years ago

Read 2 more answers