I cannot solve these, no matter how much I have desperately tried. I must complete this quickly! Can anyone assist me, please?
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?
4. 4/5h => -2
5. Marla participates in a triathlon consisting of swimming, biking, and running. Would a graph of Marla's speed during the triathlon be a connected graph or distinct points? Explain.
Oh. I am sorry. I must have typed one of the equations twice.
1. So he can hire up to 5 more people
0 ≤ x ≤ 5, where x is the number of people still to be hired.
(4/5)h ≥ -2
times 5
4h ≥ -10
divide by 4
h ≥ -5/2
mmmh, what is 115/12 ?
Will she have enough buttons to make 10 shirts?
5. Depending on the "transition time" I would have 3 lines, the 2nd linked to the end of the 1st, and the 3rd linked to the end of the 2nd.
If there is a time lapse, e.g between the swim and getting on her bike, I would have a gap between the end of the 1st and the start of the 2nd
Sure, I can help you with these questions! Here are the explanations and solutions for each question:
1. To determine how many more people the manager can hire, we can set up an inequality. Let's assign the variable "x" to represent the number of additional people the manager can hire. The inequality would be: 9 + x ≤ 14. This inequality states that the sum of the 9 people already hired and the additional people the manager can hire, represented by "x", must be less than or equal to 14. To solve the inequality, we can subtract 9 from both sides: x ≤ 14 - 9. Simplifying further, x ≤ 5. Therefore, the manager can hire up to 5 more people.
2. To solve the inequality 4/5h ≥ -2, we can start by multiplying both sides of the inequality by 5 to eliminate the fraction: 5(4/5h) ≥ 5(-2). This simplifies to 4h ≥ -10. To isolate the variable "h", divide both sides of the inequality by 4: h ≥ -10/4. Simplifying further, h ≥ -5/2 or h ≥ -2.5. Therefore, the inequality indicates that the value of "h" must be greater than or equal to -2.5.
3. The designer has 115 buttons and each shirt requires 12 buttons. To find the possible numbers of shirts she can make, we need to divide the total number of buttons by the number of buttons required per shirt. Divide 115 by 12: 115 ÷ 12 = 9 R 7. This means she can make 9 complete shirts with 7 buttons remaining. Therefore, the possible numbers of shirts she can make are 9 or less.
4. This question appears to be the same as question 2, which we have already addressed. Please refer to the solution provided for question 2.
5. A graph of Marla's speed during the triathlon would be a connected graph rather than distinct points. This is because Marla's speed during the triathlon is likely to continuously change as she transitions between swimming, biking, and running. A connected graph would show a continuous line or curve that represents her speed, indicating the changes over time. On the other hand, distinct points would imply that her speed remains constant at different stages of the triathlon, which is not realistic.