I assume you mean: Order the following from least to greatest:
17/9, 15 divided by 6, 30, and 3^3
17/9 = 1 8/9
15/6 = 2 1/2
3^3 = 9
So it would be: 17/9, 15 divided by 6, 3^3, and 30
Make necessary adjustments if it was actually 6/30; the wording was confusing.
The algebraic expression for the quotient of j and 8 is j/8. Fractions are quotients.
The sum of the first four terms of the sequence is 22.
In this question,
The formula of sum of linear sequence is
The sum of the first ten terms of a linear sequence is 145
⇒ 
⇒ 145 = 5 (2a+9d)
⇒ 
⇒ 29 = 2a + 9d ------- (1)
The sum of the next ten term is 445, so the sum of first twenty terms is
⇒ 145 + 445
⇒ 
⇒ 590 = 10 (2a + 19d)
⇒ 
⇒ 59 = 2a + 19d -------- (2)
Now subtract (2) from (1),
⇒ 30 = 10d
⇒ d = 
⇒ d = 3
Substitute d in (1), we get
⇒ 29 = 2a + 9(3)
⇒ 29 = 2a + 27
⇒ 29 - 27 = 2a
⇒ 2 = 2a
⇒ a = 
⇒ a = 1
Thus, sum of first four terms is
⇒ 
⇒ 
⇒ S₄ = 2(2+9)
⇒ S₄ = 2(11)
⇒ S₄ = 22.
Hence we can conclude that the sum of the first four terms of the sequence is 22.
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6. Answer: B
Length of 1 side is 6
Perimeter is 6×6 = 36
5 times larger
Length of one side 6×5 = 30
Perimeter is the 30×6 = 180
180/36 = 5 Perimeter is 5 times greater
7. Answer: H
Find the whole number of squares in the shape given - 22 squares
22 × 10ft = 220 feet
8. Answer: F
((12-3)×3) + (4×3) = (9×3) + 12
= 27 + 12
= 39 ft^2
9. Answer: C
For this case, the first thing you should do is take into account the irrational number definition.
An irrational number is one that can not be written as the quotient between two whole numbers.
Their number of decimals is unlimited and they are not periodic.
An irrational number within the specified domain is:
π/2 = 1.570796327
Answer:
an example of an irrational number that is less than 2 and greater than 1.5 is:
π/2 = 1.570796327
