1. A store manager is accepting applications for part-time workers. He can hire no more than 14 people. So far, he has hired 9 people. Write and solve an inequality to determine how many more people the manager can hire.
2. 4/5h => -2
3. A designer is creating shirts that each have 12 buttons. She bought a container of 115 buttons and plenty of fabric. What are the possible numbers of shirts she can make?
1. P =< 14-9
P =< 5.
2. (4/5)h => -2
Multiply both sides by 5/4:
h = > -10/4
h => -5/2 or 2.5
3. S = 115/12 = 9 Shirts and 7 Buttons
left over.
Solve: A store manager is accepting applications for workers. He can hire no more than 14 people. So far, he has hired 9. Write and solve and inequality to determine how many more people the manager can hire
•Algebra 1---Urgent! Please, help me! - Henry, Tuesday, October 29, 2013 at 4:49pm
1. P =< 14-9
P =< 5.
2. (4/5)h => -2
Multiply both sides by 5/4:
h = > -10/4
h => -5/2 or 2.5
3. S = 115/12 = 9 Shirts and 7 Buttons
left over.
Enjoy;)
1. To determine how many more people the manager can hire, we need to find the difference between the total number of people the manager can hire and the number of people he has already hired.
Let's represent the total number of people the manager can hire as "x" and the number of people he has already hired as "9".
The inequality representing the number of people the manager can hire can be written as:
x - 9 ≤ 14
To solve this inequality, we need to isolate the variable "x" by adding 9 to both sides of the inequality:
x ≤ 14 + 9
x ≤ 23
Therefore, the manager can hire at most 23 more people.
2. To solve the inequality 4/5h ≥ -2, we need to isolate the variable "h".
First, we can multiply both sides of the inequality by 5 to get rid of the fraction:
4h ≥ -10
Next, divide both sides of the inequality by 4 to solve for "h":
h ≥ -10/4
Simplifying further:
h ≥ -5/2
Therefore, the inequality solution is h ≥ -5/2.
3. To determine the possible numbers of shirts the designer can make, we need to divide the total number of buttons by the number of buttons per shirt.
Let's represent the total number of buttons as "115" and the number of buttons per shirt as "12".
To find the minimum number of shirts, we divide 115 by 12:
115 ÷ 12 = 9.58 (approx.)
Since we can't have a fraction of a shirt, the minimum number of shirts the designer can make is 9.
To find the maximum number of shirts, we need to find the largest multiple of 12 that is less than or equal to 115. In this case, it is 12 * 9 = 108.
Therefore, the possible numbers of shirts she can make range from 9 to 9 (minimum to maximum).