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2 years ago

3.25 repeating as a fraction

Mathematics

1 answer:

g100num [7]2 years ago

6 0

The answer is 13/4 3.25 is equal to 13/4

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⅓(2x-4)+5=-⅔(x+1) HALP

Kay [80]

$\frac{2}{3} x - \frac{4}{3} + 5 = \frac{ - 2}{3} x - \frac{2}{3 } \\ \frac{2}{3} x - \frac{11}{3} = - \frac{2}{3} x - \frac{2}{3} \\ 2x + 11 = - 2x - 2 \\ 4x = - 13 \\ x = \frac{ - 13}{4}$

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3 years ago

Write an explicit formula for the An, and the n^th term of the sequence 24,-12,6,....

Annette [7]

Answer:

$T_n = -48* (-\frac{1}{2})^{n}$

Step-by-step explanation:

Given

$24, -12, 6,...$

Required

Write a formula

The above sequence shows a geometric sequence because:

$r = \frac{-12}{24} = \frac{6}{-12} = -\frac{1}{2}$ -- common ratio

The equation is determined using:

$T_n = ar^{n-1}$

Where

$a = 24$

Substitute values for a and r

$T_n = 24* (-\frac{1}{2})^{n-1}$

Apply law of indices:

$T_n = 24* (-\frac{1}{2})^{n} * (-\frac{1}{2})^{-1}$

$T_n = 24* (-\frac{1}{2})^{n} * 1/(-\frac{1}{2})$

$T_n = 24* (-\frac{1}{2})^{n} * 1*-2$

$T_n = 1*-2*24* (-\frac{1}{2})^{n}$

$T_n = -48* (-\frac{1}{2})^{n}$

The above represents the explicit formula

7 0

2 years ago

Louise sold 414 soft pretzels. If she sold them in groups of 18 soft pretzels, how many groups did she sell?

dybincka [34]

Answer:

23 groups :)

Step-by-step explanation:

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mylen [45]

Step-by-step explanation:

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ruslelena [56]

Answer:

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Step-by-step explanation:

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2 years ago