Step-by-step explanation:
the sequence is a geometric sequence
simply use the formula:
t(n) = a * (r)^n-1
where n = 8, a = 27, r = 4/3
Answer:
12
Step-by-step explanation:
4x + 5y = 3 ................ (i)
kx + 15y = 9................(ii)
Dividing eqn (ii) by 3, we get,
k/3 x + 5y = 3.............(iii)
Subtracting eqn (iii) by eqn (i), we get,
-4x - k/3 x = 0
or, -(4 - k/3 )x = 0
or, 4 - k/3 = 0/x
or, 4 - k/3 = 0
or, 4 = k/3
or, k = 4*3
:. k = 12 (Ans)
Answer:
( 7x + 11 )( 7x- 11 )
Step-by-step explanation:
( 7x + 11 )( 7x- 11 )
Because 7*7 is 49
-11*11= -121
7*11=77
-7*11= -77
77-77=0
so the answer is 49x^2-121
Answer:
18 hours
Step-by-step explanation:
Let the volume of the pool be x. Since pipe A filled the pool in 6 hours, the rate of pipe A = x / 6.
Let the rate of pipe b be y, Hose A filled the pool alone for the first 2 hours, this means that the volume filled in the 2 hours is x/6(2 hours) and the two hoses, working together, then finished filling the pool in another 3 hours for the 3 hours the volume filled is x/6(3) + y(3). hence the total time is:
x/6(2) + x/6(3) + y(3) = x
x/3 + x/2 + 3y = x
Multiply through by 6:
2x + 3x + 18y = 6x
5x + 18y = 6x
18y = x
y = x/18
The rate of pipe B is x/18, this means it would take pipe B 18 hours to full the pool alone
<em>The five equivalent fractions of 4/5 are:
</em>
<em>
4 × 2/5 × 2 = 8/10
</em>
<em>
4 × 3/5 × 3 = 12/15
</em>
<em>
4 × 4/5 × 4 = 16/20
</em>
<em>
4 × 5/5 × 5 = 20/25
</em>
<em>
4 × 6/5 × 6 = 24/30</em>
<em />
<em>8 : 10</em>
<em>12 : 15</em>
<em>16 : 20</em>
<em>20 : 25</em>
<em>24 : 30</em>
