The formular for finding the sum of the geometric is: Sn = a1[1 - r^n] /[1 - r]
Where Sn = Number of terms in the series = 8
a1 = the first term = -4
r = common ration = a2/a1 = 24 / -4 = -6.
S8 = -4[1 - [-6]^8 / [1 - (-6)]
S8 = -4 - (1 - 1679616) / 7
S8 = -4 [-1679615] /7
S8 = 6718460 /7 = 959,780.
Therefore, the sum of the first 8 terms in the series is 959,780.
(27x + 16*8)/x+8 = 19
(27x +128) /x+8 = 19
multiply both sides by x+8
27x+128 = 19x +152
subtract 19x from both side:
8x +128 = 152
subtract 128 from both side:
8x = 24
divide both sides by 8
x = 24 /8
x = 3 pounds
Step-by-step explanation:
ab = a×b
= 8/11 × 4/5
= 32/55 or 1 whole 23/32
Hope this helped and please mark brainliest if you get it right!!
Answer:
The youth group bought 35 geraniums and 45 daisy plants.
Step-by-step explanation:
We can solve this using a system of equations:
x + y = 80
4x + 6y = 410
X = Geraniums
Y = Daisies
First, let's solve for a variable in the first equation. I am going to solve for y in the first equation:
x + y = 80
y = -x + 80
Now that we have solved for y we can plug that back in to the 2nd equation:
4x + 6(-x + 80) = 410
4x - 6x + 480 = 410
-2x + 480 = 410
-2x = -70
x = 35
Now that we have found the amount of geraniums we can plug it back into the first equation and solve for y:
35 + y = 80
y = 45
Therefore the youth group bought 35 geraniums and 45 daisy plants.
Check:
(35) + (45) = 80
80 = 80
4(35) + 6(45) = 410
140 + 270 = 410
410 = 410
<em>I hope this helps!!</em>
<em>- Kay :)</em>