Good evening,
Answer:
x > 5
x ≤ 12
Step-by-step explanation:
Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.
On a number line, an inequality sign without the “equal to” is plotted with an open circe.
An inequality sign, with the “equal to” is plotted with a closed circle.
3x - 7> 8
Add seven on both sides, we do this because we want to eliminate the 7 from one side.
3x > 15
Divide both sides by 3, we do this because you want to get rid of the 3 from x.
x > 5
As for the second inequality.
Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.
x ≤ 12
For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.
For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.
A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.
The number of practice hours per week for Maranda's piano recital is 13 hours
Overall practice hours = 52 hours
Number of weeks of practice = 4 weeks
Since, the number of practice hours per week is the same ;
Number of hours practiced each week can be obtained by dividing the overall practice hours by the number of weeks of practice.
Number of practice hours per week = Overall practice hours ÷ Number of weeks of practice
Number of practice hours = (52 ÷ 4) = 13 hours
Therefore, Marana practiced for 13 hours each week.
Learn more : brainly.com/question/18109354
Answer: 35 advance, 30 same day
Step-by-step explanation:
$35 * A + $15 * S = $1675
A + S = 65 So. A = 65 - S
Plug in for A:
35(65-S) + 15S = 1675
2275 - 35S + 15S = 1675
-20S = -600
S = 30 same day tix
A = 35 advance tix
He got 16 questions right (5x16=80) and 10 wrong (8x10=80) He got paid $80 but also had to pay $80.
