Answer:
28.26
Step-by-step explanation:
A = pi radius squared
A = 3.14 x 9
A= 28.26
Hi! This problem be set up with a ratio or fraction. 12/.333 = x/.75
Cross multiply
9=.333x
divide by .333 on each side
giving you x=27
There are 27 grams of sugar in a 3/4 piece of candy
Answer:
x = -2
y = 5
Step-by-step explanation:
2x - 3y = -19 ---------------------------(I)
7x+ 7y = 21 -----------------------------(II)
Multiply equation (I) by 7 and equation (II) by 3.Then add and so y will be eliminated and you will get the value of x
(I)*7 14x - 21y = - 133
(II)* 3 <u> 21x + 21y = 63 </u> {Now add}
35x = -70
x = -70/35
x = - 2
Plug in x = - 2 in equation (I)
2*(-2) - 3y = -19
-4 - 3y = -19
-3y = -19 + 4
-3y = -15
y = -15/-3
y = 5
Total number of sharings = 5+1 = 6
600 / 6 = 33.33
So ayo had one out of the 6 and received 33.33 answer
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
