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Volgvan
3 years ago
9

What is the sum of the first 27 terms of the following sequence?

Mathematics
1 answer:
FromTheMoon [43]3 years ago
5 0
Answer choices............................
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How can one fifth x − 2 = one third x + 8 be set up as a system of equations?
suter [353]

Answer:

none of the above

Step-by-step explanation:

The given equation can be divided into two parts:

... x - 2 = y = (1/3)x +8

Putting the left equation into standard form, it becomes

... y -x = -2

Multiplying it by 5 gives ...

... 5y -5x = -10 . . . . . . . . . . . matches answer choices A or B

Please note there is no obvious reason <em>why</em> the equation is multiplied by 5. (It is no longer in standard form when there is a factor of 5 that can be removed.)

___

Putting the right equation into standard form, it becomes

... y = (1/3)x + 8

... 3y = x + 24 . . . . . multiply by 3

... 3y -x = 24 . . . . . . subtract x . . . . . . matches answer choice D

Solution:

An appropriate system of equations is ...

  • 5y -5x = -10
  • 3y -x = 24

These have solution (x, y) = (15, 13) as the original equation does.

_____

<em>Comment on the question</em>

In cases like this, where none of the offered answers has any relevance to the problem, I suggest you have your teacher show you how to work this problem and check the resulting answer.

3 0
3 years ago
The product of 9 and a number increased by the product of 12 and that number decreased by the product of the sum of all and 23 t
oee [108]
9×n+12-21+207!!!!!!!!!!!!!!!!!
5 0
3 years ago
Write an equation in slope-intercept form of the line that passes through the given point
Radda [10]

Answer:

nopeeeeeeeeeeeeeeeee

Step-by-step explanation:

so yea lmk if is right

4 0
3 years ago
1. In the cone below, the radius is 6 meters and the height is 8 meters.
Nataly_w [17]

Answer:

301.4

Step-by-step explanation:

V=πr^2*h/3 3.14*6^2*8/3=301.4

8 0
3 years ago
In a list of households, own homes and do not own homes. Four households are randomly selected from these households. Find the p
labwork [276]

Complete Question

In a list of 15 households, 9 own homes and 6 do not own homes. Four households

are randomly selected from these 15 households. Find the probability that the

number of households in the sample which own homes is   exactly 3

Answer:

Step-by-step explanation:

From the question we are told that

   The number of household is  n  =  15

    The number of household that own homes is  k  =  9

     The number of household that do not own homes is u = 6

      The number of households randomly selected is  q =  4

Generally the number of ways of selecting 3 household  from the total number of 9 households that own homes is mathematically represented as  

        A = ^{k} C_ 3

Here C stands for combination hence we would be making use of the combination feature in our calculator

 =>  A = ^{9} C_ 3

  =>  A =84

Generally the number of ways of selecting 1 household  from the total number of 6 households that do not own homes is mathematically represented as

    B  =  ^{u}C_1

=>  B  =  ^{6}C_1

=>  B  = 6

Generally the number of ways of selecting 4 household  from the total number of 15 households on the list  is mathematically represented as

    D = ^{n}C_4

=>  D = ^{15}C_4

=>  D = 1365

Generally the probability that the number of households in the sample which own homes is   exactly 3 is mathematically represented as

        P( X = 3) =  \frac{A * B}{D}

=>      P( X = 3) =  \frac{85 *  6}{1365}

X is here represent the number of household in the selected sample  that own homes

=>      P( X = 3) = 0.3736

7 0
3 years ago
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