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:
25.5 and 1.5
Step-by-step explanation:
AC = 12 cm
BC = 13.5 cm
12 + 13.5 = 25.5 cm
13.5 - 12 = 1.5 cm
Answer:
$3.45
Step-by-step explanation:
$20.30 / 10 = $2.30 = 10%
$2.30 / 2 = $1.15 = 5%
$2.30 + $1.15 = $3.45 = 15%
2.5x1.30=3.25
4x4.50=18
2x3.75=7.5
3.25+18+7.5=$28.75 total price
2.5+4+2=8.5lb. total weight
28.75/8.5= 3.38 dollars per pound.
Answer: (a)
Step-by-step explanation:
Suppose the original function is 
To shift it 2 units right, replace x by x-2 such that

So, the function becomes 