Answer:
Todd has 540540 songs in his playlist.
Vlad has 270270 songs in his playlist.
Becca has 162162 songs in her playlist.
Step-by-step explanation:
# of songs Todd has = T
# of songs Vlad has = V
# of songs Becca has = B
1) Todd has twice as many songs in his playlist as Vlad:
T=2V
2) Becca has three times as many songs in her playlist as Todd:
B=3T
3) All three people have a total of 243243 songs in their playlists:
T+V+B=243243
Because T=2V then you can substitute T as 2V in the second equation:
B=3(2V)
B=6V
Now in the final equation, you can substitute everything for V:
2V+V+6V=243243
9V=243243
V=27027
Now substitute for T:
T+1/2T+3T=243243
9/2T=243243
T=54054
Now substitute for B:
1/3B+1/6B+B=243243
3/2B=243243
B=162162
Check answers:
27027+54054+162162=243243
243243=243243
Answer:
1,75 kg
Explanation:
1 kg = 1000 g
2.5 kg = 2.5 × 1000 g = 2500 g
2500 g - 750 g = 1750 g
1750 g = 1750 ÷ 1000 kg = 1.75 kg
Answer:
331.4
Step-by-step explanation:
Side length (a)
8.284
yd
Perimeter
66.27
yd
Area
331.4
yd²
Longest diagonal (l)
21.65
yd
Medium diagonal (m)
20
yd
Shortest diagonal (s)
15.307
yd
Circumcircle radius (R)
10.824
yd
Incircle radius (r)
10
yd
Answer:
a. $500
b. $250
Step-by-step explanation:
a. For zero items produced, cost will be-

b. For zero items produced, cost will be-

c. If 

∴ domain for cost function will be
and range will be 100