Answer:
10) 44° (nearest degree)
11) 136.6 units² (nearest tenth)
12) 47.8 units² (nearest tenth)
Step-by-step explanation:
Please see the attached pictures for the full solution.
Answer:
170
Step-by-step explanation:
Equations derived from given info.
Use some substitution now.
- P=2(E+40)
- J=E+40
- P+J+E=300
Substitute first and second equation into third.
- 2(E+40)+E+40+E=300
- 2E+80+E+40+E=300
- 4E+120=300
- 4E=180
- E=45
Emily has 45 stickers. But we want to know what Peter has.
Use P=2(E+40)
Peter has 170 stickers.
Answer:
5r + 3s ≥ 30
Step-by-step explanation:
We know Keiko wants to do exercise at least 30 minutes a day, and she wants ideally to mix up the activities, by combining running and swimming into her schedule.
Since each lap she runs takes 5 minutes and each lap she swims takes 3 minutes, these will be the left side of the inequality:
5r + 3s
She wants to exercise at least 30 minutes a day, so...
5r + 3s ≥ 30
she could do 3 laps of running and 5 laps of swimming for example.
Answer:
(4,5)
Step-by-step explanation:
Initial location of Joshua in the shopping mall is expressed according to the coordinate (12, -5)
If he undergoes a translation of 8 steps to the left and 10 steps upwards, this means that he moves 8 steps towards the negative x axis and 10 steps towards the positive y axis. The new coordinate will be gotten by adding the translation (-8, 10) to the initial coordinate as shown
New position = (12, -5) + (-8,10)
New position = (12-8, -5+10)
New position = (4, 5)
Hence the coordinates that corresponds to the location of the ground floor when undergoing a translation of 8 steps to the left and 10 steps upwards will be (4,5)
12/30 = 18/45, so first you're going to cross multiply and you'll get (30)(18) = (12)(45). Then you can see that 540 = 540 same number so they're proportional...
BTW THIS WAY IS A LOT EASIER.
12/30 = 2/5
18/45 = 2/5
So yes, in summary, they're proportional to each other. Hope this helps, have a BLESSED and wonderful day! :-)
