Answer:
let number of bags of popcorn = b
let number of drinks = d
at most = maximum
b + d ≤ 12
The sum of the first 7 terms of the geometric series is 15.180
<h3>Sum of geometric series</h3>
The formula for calculating the sum of geometric series is expressed according to the formula. below;
GM = a(1-r^n)/1-r
where
r is the common ratio
n is the number of terms
a is the first term
Given the following parameters from the sequence
a = 1/36
r = -3
n = 7
Substitute
S = (1/36)(1-(-3)^7)/1+3
S = 1/36(1-2187)/4
S = 15.180
Hence the sum of the first 7 terms of the geometric series is 15.180
Learn more on sum of geometric series here: brainly.com/question/24221513
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If the square translates to 7 units on the right and 6 units downwards, the following changes will be made:
Point S will have the coordinates of (3, -5).
Point R will have the coordinates of (-1, -5).
Point U will have the coordinates of (-1, -9).
Point T will have the coordinates of (3, -9).
According to the only answer choices in the picture, only (-5, -3) is the only point that lies on a side of the pre-image, square RSTU.
Answer:
step #1: Set Realistic and Achievable Goals
Step-by-step explanation:
<em>*Because of BODMAS, 1/2x=x/2.</em>
1/2x+3/4=1
1/2x+3/4=4/4
1/2x=4/4-3/4
1/2x=1/4
x/2=1/4
x=2/4
x=1/2
