The answer of 12 to 13 is almost correct - you only forgot the - signs
As for the decimal estimate, take the square root of 12 (144) and the square root of 13(169) and because 150 is closer to 144 than 169 we can guess that the decimal is about -12.2
Answer:
88
Step-by-step explanation:
We are given that in arithmetic sequence , the nth term
is given by the formula

Where 
d=Common difference
In an geometric sequence, the nth term is given by

Where r= Common ratio
1,4,7,10,..
We have to find 30th term.







Therefore, given sequence is an arithmetic sequence because the difference between consecutive terms is constant.
Substitute n=30 , d=3 a=1 in the given formula of arithmetic sequence
Then, we get

Hence, the 30th term of sequence is 88.
Answer:
2 days
Step-by-step explanation:
he plans to drive 400 miles, so the cost of his miles will 400*0.12=48
his total budget is 170, so subtract 48 from that
170-48=122
the rental company charges 61 per day and he has 122 after subtracting the cost of his miles, so he will have 122/61 days to drive 400 miles
122/61=2
Answer:
76
Step-by-step explanation:
(5x3)+(5x3)=30
15-6=9
5x9=45
45+30=75
Since 76 is the closest to 75 it's 76
Answer: (A) The fraction of residents opposed to the project was three-sevenths (3/7)
(B) The total number of residents is 2,128.
Step-by-step explanation: If the number of residents in support of the building project is expressed as a fraction of the total number, then the total number can be expressed as 1. That means we should have two fractions, those in support and those not in support and their addition should be equal to 1.
Hence if the total is 1 and 4/7 are in support, the fraction of those opposed (let that be y) can be calculated as
y = 1 - 4/7
y = 7/7 - 4/7
y = (7 - 4)/7
y = 3/7
Also, the number of residents not in support is 912 (which is 3/7 of the total). That means 912 is three out of seven of f the total population. In other words,
3/7 = 912/x
(Where x is the total population)
By cross multiplication we now have
3x = 912 x 7
x = 6384/3
x = 2128
Therefore the total population of residents is 2,128.