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4 years ago

Find the 55th term of the arithmetic sequence -7, -5, -3,

Mathematics

2 answers:

Maslowich4 years ago

3 0

Answer:

Step-by-step explanation:

Formula for 55th term:

t55 = a + 54d, where a- first term, d - common difference

As per sequence:

a = -7
d = -5-(-7) = -5 + 7 = 2

Then:

t55 = - 7 + 54*2 = -7 + 108 = 101

bearhunter [10]4 years ago

3 0

Answer:

101

Step-by-step explanation:

I typed in 97 as the other person said and I got it wrong and I found out the correct answer and it is 101

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MrRissso [65]

Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.

a.

As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.

First we will factor out all three numbers completely......

$60=2*2*3*5\\ \\ 48=2*2*2*2*3\\ \\ 72=2*2*2*3*3$

The common factors are: 2, 2 and 3

Thus the GCF $= 2*2*3=12$

So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.

b.

For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So...

Number of pieces for blue cloth $=\frac{60}{12}=5$

Number of pieces for gold cloth $=\frac{48}{12}=4$ and

Number of pieces for white cloth $=\frac{72}{12}=6$

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3 years ago

Write an equation in point-slope form, if m= 3 and passes through (4, 5).

Sergio039 [100]

Answer:

y - 5 = 3(x - 4)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Step-by-step explanation:

Step 1: Define

Slope m = 3

Point (4, 5)

Step 2: Write equation

Point-Slope Form: y - 5 = 3(x - 4)

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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