Answer:
8.85
Step-by-step explanation:
The four is in the hundreths place so you round the four up because of the 8
Answer:
The system of equations that can be used to find the price of one bag of popcorn and the price of one drink are:
8p + 10d = 85
2p + 2d = 20.50
Step-by-step explanation:
Let the price of a bag of popcorn be p
Let the price of one drink be d
Charlotte spends a total of $85.00 on 8 bags of popcorn and 10 drinks. This means
8p + 10d = 85
Savannah spends a total of $20.50 on 2 bags of popcorn and 2 drinks.
2p + 2d = 20.50
The system of equations that can be used to find the price of one bag of popcorn and the price of one drink are:
8p + 10d = 85 ----------1
2p + 2d = 20.50 - - - - - -2
Solving the equations with elimination method, multiply equation 1 by 2 and equation 2 by 8
16p + 20d = 170
16p + 16d = 164
Subtracting,
4d = 6
d = 6/4 = $1.5
Put d = 2 in equation 1
8p + 15 = 85
p = 70/8 = $8.75
The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula
, equivalent to the <em>recurrence</em> formula
.
<h3>What is the missing element in a sequence?</h3>
A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:
(1)
Now we prove that given expression contains the pattern:
n = 0
7
n = 1
7 + (- 1)² · 2² = 7 + 4 = 11
n = 2
7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2
n = 3
7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18
n = 4
7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7
The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula
, equivalent to the <em>recurrence</em> formula
.
To learn more on patterns: brainly.com/question/23136125
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