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Nina [5.8K]
4 years ago
8

What is the rule for the sequence5/6, 1 1/2, 2 1/6, 2 5/6.....

Mathematics
1 answer:
photoshop1234 [79]4 years ago
4 0
First term:  a:  5/6
2nd term:  3/2 = 9/6
3rd term:  13/6
4th term:  17/6

a(n+1)=a(n) + 4/6, or a(n+1) = a(n) + 2/3, with a(1) = 5/6
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A crew of loggers cleared 1/2 acre of lumber in 4 days. How long will it take the same crew to clear 2 3/4 acres of lumber?
krok68 [10]
Set up a proportion of acres to days. 1/2 acre is to 4 days as 2 3/4 acres is to x days.

x= # days to clear 2 3/4 acres
2 3/4 to improper fraction= 11/4

(1/2)/4 = (11/4)/x
cross multiply

(1/2 * x) = (4 * 11/4)
on the right, the 4 "cancels out"

1/2x= 11
divide both sides by 1/2

x= 11 ÷ 1/2
to divide fractions, multiply by reciprocal/inverse of 1/2

x= 11 * 2/1
x= 22 days

ANSWER: It would take 22 days to clear 2 3/4 acres.

Hope this helps! :)
6 0
4 years ago
Read 2 more answers
Classify the triangle: a triangle with one right angle and no congruent sides.
VikaD [51]

Answer:

Scalene Traingle

Step-by-step explanation:

Because a scalene triangle has no congruent sides, but can be a right angle (90 degree)!

3 0
3 years ago
Read 2 more answers
A city’s population has been growing linearly. In 2008, the population was 28,200. By 2012, the population was 36,800. Assuming
Lelu [443]

The linear function that models the relationship is P = 28,200 + 1950t.

<h3>What is the  linear function that models the relationship?</h3>

A linear function is a function that has a single variable raised to the power of 1. An example is x + 2

The first step is to determine the rate of increase in the population:

Rate of increase = (population in 2012 - population in 2008) / number of years

(36.000 - 28,200) / 4 = 1950

P = 28,200 + 1950t

To learn more about linear functions, please check: brainly.com/question/26434260

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8 0
2 years ago
Which is the better buy? Show your work and explain your reasoning.
Vinvika [58]

Answer:

5.03

Step-by-step explanation:

Because

6 0
3 years ago
I need help solving this problem please I would like short explanations please its more helpful for me. :) ​
Allisa [31]

Answer:

First point goes on -2

Step-by-step explanation:

3 0
3 years ago
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