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Nastasia [14]
3 years ago
12

HELP!!!!!What is the common difference between consecutive terms in the following arithmetic sequence? –16, –20, –24, –28, ...

Mathematics
1 answer:
Gre4nikov [31]3 years ago
6 0
 term = previous term + Common difference  
-20= -16 + Common difference 
Common difference = -20-(-16)= - 4
Common difference = -24-(-20) = -4

Answer is C. -4.
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At the movies, we had 286 people buy tickets. The adult tickets were $12 and the children's tickets were $4. The total sold was
Elina [12.6K]

103 adults and 183 children's attended

<em><u>Solution:</u></em>

Let "a" be the number of adults attended

Let "c" be the number of children attended

Cost of 1 adult ticket = $ 12

Cost of 1 children ticket = $ 4

At the movies, we had 286 people buy tickets

Therefore,

number of adults attended + number of children attended = 286

a + c = 286 ---- eqn 1

The total sold was $1968

Therefore,

number of adults attended x Cost of 1 adult ticket + number of children attended x Cost of 1 children ticket = 1968

a \times 12 + c \times 4 = 1968

12a + 4c = 1968 ------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

a = 286 - c -- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

12(286 - c) + 4c = 1968

3432 -12c + 4c = 1968

-8c = 1968 - 3432

-8c = -1464

8c = 1464

<h3>c = 183</h3>

<em><u>Substitute c = 183 in eqn 3</u></em>

a = 286 - 183

<h3>a = 103</h3>

Thus 103 adults and 183 children's attended

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4 years ago
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