There are total 53 movies on the shelving unit
Step-by-step explanation:
<u>DATA</u>
Equal movies on the bottom 3 shelves: 3x
10 movies on each of the top 2 shelves = 2*10 = 20
<u>Equation:</u>
3x + 20
<u>Question:</u>
Number of movies on the shelving unit if 11 movies are on each bottom 3 shelves: x = 11
<u>Solution:</u>
3x + 20
3(11) + 20 = 33 + 20 = 53
Therefore, there are total 53 movies on the shelving unit; 20 on the top 2 shelves and 33 on the bottom 3 shelves altogether.
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Answer:
the graph of the function is non-linear
the table can be represented by the equation y=4x+4
Step-by-step explanation:
non linear because 1+7=8 and then 10+2 = 12 so they have different numbers to add each time
represented by the equation because the x numbers (1,2,3,4,) all multiplied by 4 and added by 4 gives you y
any more help just ask :)
Answer:
<u>The sequence is</u>
- 1, 1 + 2, 1 + 2 + 3, 1 + 2 + 3 + 4, ...
Each term is the sum of the consecutive numbers from 1 to that number.
<u>The nth term is the sum of the first n numbers:</u>
- aₙ = 1 + 2 + 3 + ... + n
- aₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)
- aₙ = n(n + 1)/2
1) The number of circles in the nth pile is n(n + 1)/2
2) When n tends to infinity the number of circles tends to infinity
Let's compare!
Taylor ran 57 + 48 mins total. Sum would be 105 mins.
Mark ran 62 + 53 mins total. Sum would be 115 mins.
Clearly, the two sums are different when we compare them using subtraction.
115 - 105 = 10. Mark ran 10 mins longer than Taylor.
