Answer:
She has been with her book club for 49 months.
Step-by-step explanation:
If Beth reads a total of 12 books per 7 months, then that is our unit rate. If she has read 84 books so far, then we divide 84 books by 12 books/7 months, which is the same as multiplying by 7 months/12 books. When we do that, the books cancels out with the books, and we get 49 months/1, which is 49 months.
We can represent her initial position as -24.25, since it says she is 24.25 feet below sea level.
If she descends -.5 feet per minute, all we have to do is multiply -.5 by 25, and add it to her initial position to get the answer.
-.5*25=-12.5
-24.25+-12.5=-36.5
Her current position is -36.5
Hope this helps!
Answer:
x = 9
Step-by-step explanation:
2(x+5)=3x+1
Distributive Property
2x+10=3x+1
Subtract 2x from both sides
10=x+1
Subtract 1 from both sides
9=x
Correct form: x=9
Answer:
The explicit rule of the geometric sequence
aₙ = 187.5 (0.8)ⁿ⁻¹
Step-by-step explanation:
<u><em> Step(i):-</em></u>
Given that the third term of the sequence = 120
tₙ = a rⁿ⁻¹
t₃ = a r³⁻¹ = ar²
120 = ar² ..(i)
Given that the fifth term of the given geometric sequence = 76.8
tₙ = a rⁿ⁻¹
t₅ = a r⁵⁻¹ = a r⁴
76.8 = a r⁴...(ii)
<u><em>Step(ii):</em></u>-
Dividing (ii) and (i)
r² = 0.64
r =√ 0.64 = 0.8
Substitute r= 0.8 in equation (i)
120 = ar²
120 = a(0.8)²
⇒ 
<u><em>Step(iii):-</em></u>
The explicit rule of the geometric sequence
aₙ = a rⁿ⁻¹
put a= 187.5 and r = 0.8
aₙ = 187.5 (0.8)ⁿ⁻¹
