You can solve this problem by applying the proccedure below:
You have:
a) 18/21=2/3
18x3/21x2
36≠42 (2/3 is not proportinal to 18/21).
b)18/21=30/35
18x35/21x30
630=630 (30/35 is proportional to 18/21)
c)18/21=36/48
18x48/21x36
864≠756 (36/48<span> is</span><span> not proportinal to 18/21)
</span>
d)18/21=1/3
18x3/21x1
54≠21 (<span> 1/3 is</span><span> not proportinal to 18/21)
</span>
Therefore, you can conclude that the correct option is: B.30/35
4/3pi *r3 = 972pi
Divide both side by pi
4/3 *r3 = 972
r3 = 972* 3/4
r3 = 729
r = the square root of 729 to the third power (I don't know if I'm expressing this correctly but answer is 9, hope you get that)
r = 9 that's your answer.
Hope it's correct, appreciate if you could let me know
Answer:
p ∈ [5 , 6)
Step-by-step explanation:
p + 6 ≥ 11
⇒ p ≥ 11 - 6
⇒ p ≥ 5
⇒ p ∈ [5 , +∞)
3p < 18
⇒ p < 18/3
⇒ p < 6
⇒ p ∈ (-∞ , 6)
Then
p the solution to both equations verify:
p ∈ (-∞ , 6) ∩ [5 , +∞)
Conclusion :
p ∈ [5 , 6)
So the equations are equal
