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Varvara68 [4.7K]
3 years ago
7

K/5 = 9/15 plz help mee

Mathematics
1 answer:
Molodets [167]3 years ago
5 0

Answer:

k = 3

Step-by-step explanation:

Reduce the right side of the equation by 3 to get 3/5.  Since both denominators now are even you should get 3 which is k as your answer.

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The arithmetic sequence a_ia i ​ a, start subscript, i, end subscript is defined by the formula: a_1 = 15a 1 ​ =15a, start subsc
daser333 [38]

Answer:

-1,512,390

Step-by-step explanation:

Given

a1 = 15

a_i = a_{i-1} -7

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For a_3

a_3 = a_{3-1}-7\\a_3 = a_2 - 7\\a_3 = 8-7\\a_3 = 1

Hence the first three terms ae 15, 8, 1...

This sequence forms an arithmetic progression with;

first term a = 15

common difference d = 8 - 15 = - -8 = -7

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Using the formula;

S_n = \frac{n}{2}[2a + (n-1)d]\\

Substitute the given values;

S_{660} = \frac{660}{2}[2(15) + (660-1)(-7)]\\S_{660} = 330[30 + (659)(-7)]\\S_{660} = 330[30 -4613]\\S_{660} = 330[-4583]\\S_{660} = -1,512,390

Hence the sum of the first 660 terms of the sequence is  -1,512,390

6 0
3 years ago
2. Are the expressions -5 + -2 and -5 – 2 equivalent? Why or why not? Explain and show your work.
scoray [572]

Answer:

Yes, the expressions are equivalent.

Step-by-step explanation:

Notice that -2  is defined as in additive inverse of 2, that is, 2 + -2 = 0.

and substracting 2 from 2 is also equal to zero, that is, 2 - 2 = 0.

Thus 2-2 = 2+ -2, implying -2 = + -2. Consequently, -5 + -2 = -5 -2

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almond37 [142]

Answer:

123 PER PERSON

Step-by-step explanation:

All you have to do is divide 2,460 by 20 to get 123

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