Answer:
Two more people.
Step-by-step explanation:
If 4 people can mow a lawn in 6 hours, then 4 people can mow 1/6 of a lawn in 1 hour.
If 4 people can mow 1/6 of a lawn in 1 hour, then 1 person can mow 1/24 of a lawn in 1 hour.
If 1 person can mow 1/24 of a lawn in 1 hour, then 6 people can mow 1/4 of a lawn in 1 hour.
If 6 people can mow 1/4 of a lawn in 1 hour, then 6 people can mow a lawn in 4 hours.
6 people minus 4 people is 2 people.
The correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
<h3>Solving inequality</h3>
From the question, we are to solve the inequality
The given inequality is
–3(2x – 5) < 5(2 – x)
First, clear the brackets
–6x + 15 < 10 – 5x
NOTE: This is one of the correct representations of the inequality
Collect like terms
-6x + 5x < 10 - 15
-x < -5
Divide both sides by -1 and flip the sign
x > 5
Representing this on a number line, we get a number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is pointing to the right.
Hence, the correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
Learn more on Inequalities here: brainly.com/question/246993
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Answer: 5, 6, and 7.
Step-by-step explanation:
Answer:
the answer is 2
Step-by-step explanation:
........
Hey!
To start solving equation, we should first distribute the parenthesis. We do this so that we can get rid of the parenthesis.
<em>Original Equation :</em>
3 ( x - 4 ) ≥ 5x + 2
<em>New Equation {Changed by Distribution} :</em>
3x - 12 ≥ 5x + 2
Next, we'd add 12 to both sides of the equation to get rid of the 12 on the left side of the equation.
<em>Old Equation :</em>
3x - 12 ≥ 5x + 2
<em>New Equation {Changed by Adding 12 to Both Sides} :</em>
3x ≥ 5x + 14
Now we subtract 5x from both sides of the equation to get rid of the 5x from the right side.
<em>Old Equation :</em>
3x ≥ 5x + 14
<em>New Equation {Changed by Subtracting 5x From Both Sides} :</em>
-2x ≥ 14
Now we must inverse the inequality. To do that we multiply both sides by -1.
<em>Old Equation :</em>
-2x ≥ 14
<em>New Equation {Changed by Inverse} :</em>
2x ≤ -14
Just by looking at the equation, you can easily tell that it needs to be simplified. So, that's what we'll do next.
<em>Old Equation :</em>
2x ≤ -14
<em>New Equation {Changed by Dividing Both Sides by Two} :</em>
x ≤ -7
Seeing as the equation cannot be simplified any further, we have our answer.
<em>The value of x in the inequality </em><span><em>of 3 ( x – 4 ) ≥ 5x + 2, is </em> x </span>≤ -7.
Hope this helps!
- Lindsey Frazier ♥
