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
Add the five to each side.
then square it to get rid of the square root
2x+13=(5+x)^2
2x+13=x^2+10x+25
2x=x^2+10x+12
x^2+8x+12=0
(x+6)(x+2)
x+6=0
x+2=0
answers are -2 and -6, however, when pluging -6 in it doesnt work, so it is only -2.
Answer:
d= 3h-6
Step-by-step explanation:
h= d/3+2
h-2= d/3
d= 3(h-2)= 3h-6
Answer:
C
Step-by-step explanation:
If x was equal to 12, 22.5 or 10 the side would be too large compared to 15. This is only correct if the drawing is to scale, however.
Answer:
m= -1/7
b=2
Step-by-step explanation:
