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The graph of the solution to this inequality is: C. number line with an open circle plotted at negative eight and arrow pointing left.

<h3>What is a number line?</h3>

A number line simply refers to a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

Next, we would solve the given inequality as follows:

−0.4b + 2.4 < 5.6

Subtracting 2.4 from both sides, we have:

−0.4b + 2.4 - 2.4 < 5.6 - 2.4

−0.4b < 5.6 - 2.4

−0.4b < 3.2

Dividing both sides by -0.4, we have:

b < -3.2/0.4

b < -8

In conclusion, the circle on a number line should be open and would point to the left when the inequality symbol is <.

Read more on inequality here: brainly.com/question/3061666

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Paul can install a 300 hundred square foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long wou

Vadim26 [7]

ANSWER

Paul and Matt will take
$9.9 \: \: hours$
to install the floor working together.

EXPLANATION

First, calculate Paul's rate, which is

$= \frac{1}{18}$

Next, calculate Matt's rate, which is,
$= \frac{1}{22}$

Let us assume that, Paul and Matt took
$x \: hours$
to do the work together.

Then, the rate of working together is,

$= \frac{1}{x}$

Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

$\frac{1}{18} + \frac{1}{22} = \frac{1}{x}$

Simplify the left hand side

$\frac{11 + 9}{198} = \frac{1}{x}$

$\frac{20}{198} = \frac{1}{x}$

We reciprocate both sides to get (You could have also done cross multiplication).

$\frac{198}{20} = \frac{x}{1}$

$x = 9.9 \: hours$