It depends on what the question looks like. If it looks like this:
(6-3)(2/5)=
(3)(0.4)=
1.2
Answer:
I have friends who do indeed add up to 2 cups per gallon! To each ... Fill the pitcher up to the gallon mark with ice or cold water, or a combo of both. ... Your homemade iced tea will have a shelf life of about 2 days – if it lasts that long! Just an observation, but it seems to me that the more sugar added, the quicker it goes bad.
Step-by-step explanation:
Answer:
Ai. Common ratio = 2/3
Aii. First term = 54
B. Sum of the first five terms = 422/3
Step-by-step explanation:
From the question given above, the following data were obtained:
3rd term (T3) = 24
6Th term (T6) = 64/9
First term (a) =?
Common ratio (r) =?
Sum of the first five terms (S5) =?
Ai. Determination of the common ratio (r).
T3 = ar²
T3 = 24
24 = ar²....... (1)
T6 = ar⁵
T6 = 64/9
64/9 = ar⁵......... (2)
The equation are:
24 = ar²....... (1)
64/9 = ar⁵......... (2)
Divide equation 2 by equation 1.
64/9 ÷ 24 = ar⁵ / ar²
64/9 × 1/24 = r³
8/27 = r³
Take the cube root of both side
r = 3√(8/27)
r = 2/3
Thus, the common ratio is 2/3
Aii. Determination of the first term (a).
T3 = ar²
3rd term (T3) = 24
Common ratio (r) = 2/3
First term (a) =?
24 = a(2/3)²
24 = 4a/9
Cross multiply
24 × 9 = 4a
216 = 4a
Divide both side by 4
a = 216/4
a = 54
Thus, the first term (a) is 54
B. Determination of the sum of the first five terms.
Common ratio (r) = 2/3
First term (a) = 54
Number of term (n) = 5
Sum of first five terms (S5) =?
Sn = a[1 –rⁿ] / 1 – r
S5 = 54[1 – (⅔)⁵] / 1 – ⅔
S5 = 54 [1 – 32/243] / ⅓
S5 = 54 (211/243) × 3
S5 = 54 × 211/81
S5 = 6 × 211/9
S5 = 2 × 211/3
S5 = 422/3
Thus, the sum of the first five terms is 422/3
Answer:
-6.75 + (10.25) = ( (-6) + (10)) + ( (-0.75) + (0.25))
Here, the integer part = ( (-6) + (10))
Decimal part = ( (-0.75) + (0.25))
Step-by-step explanation:
Here, the given expression is: -6.75 + (10.25)
Now, -6.75 = (-6) + (-0.75)
Also, (10.25) = (10) + (0.25)
So, the expression can be written as
-6.75 + (10.25) = (-6) + (-0.75) + (10) + (0.25)
= ( (-6) + (10)) + ( (-0.75) + (0.25))
or, -6.75 + (10.25) = ( (-6) + (10)) + ( (-0.75) + (0.25))
Where the integer part is ( (-6) + (10))
and the decimal part is ( (-0.75) + (0.25))
181 is the only palindrome that has digits that when multiplied together give you 8.
Hope that helps :)