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-BARSIC- [3]
3 years ago
6

Find the solution set of the inequality: -3x + 8 < 15

Mathematics
1 answer:
telo118 [61]3 years ago
7 0

Hello from MrBillDoesMath!

Answer:

x > -7/3

Discussion:

-3x + 8 < 15                             => add 3x to both sides

(-3x + 3x) + 8 < 15 + 3x          => (-3x + 3x) = 0

8 < 15 + 3x                              => subtract 15 from both sides

8-15 < 3x                                 => 8 - 15 = -7

-7 < 3x                                     => divide both sides by 3

-7/3 < x

Thank You,

MrB

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Answer:

425

Step-by-step explanation:

225/24 then multiply the answer by 40

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2 years ago
6y-6y-12y=please help me
Ray Of Light [21]
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The answer is 

-12y

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7 0
3 years ago
Read 2 more answers
Solve for x.
S_A_V [24]

Answer:

x = {-2, 2/3}

Step-by-step explanation:

2x = -4

x = -2

3x = 2

x = 2/3

x = {-2, 2/3}

3 0
3 years ago
The Powerball lottery is decided every Wednesday and Saturday night by drawing five white balls out of a drum with 69 balls and
Doss [256]

Answer: a) 11,238,513 and b) 292,201,338

Step-by-step explanation:

Since we have given that

Number of white balls = 69

Number of white balls drawn = 5

Number of red balls = 26

Number of red balls drawn = 1

According to question, The Powerball jackpot is won by matching all five white balls in any order and the red Powerball.

So, a) Possible different ways of Powerball tickets can be purchased is given by

^{69}C_5\\\\=11,238,513

And

b) Number of possible ways of different winning Poweball tickets are there would be

26\times ^[69}C_5\\\\=292,201,338

Hence, a) 11,238,513 and b) 292,201,338

7 0
2 years ago
If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATI
Vikentia [17]

Answer:

The value is      y  =  \$ 225

Step-by-step explanation:

From the question we are told that

   The amount charge per year is  k  =  \$ 200

   The  number of members it will have at this amount is  n  =  50

   The amount amount increase that will lead to the loss of a single member is   z =  \$ 5

        Generally the total amount the club would obtain from  its members is mathematically represented as

      I  =  Amount \  due\ paid *  Number \  of members

Now let x denote the number of member lost

Hence

      I  =  (k + zx) (n-x )

=>    I  =  (200 + 5x) (50-x )

=>  I  = 10000+50x-5x^2

Thus the number of members that be removed to  give the maximum  income from dues is obtained by differentiating the above equation and equating it to zero

           \frac{dI}{dx}  =  50-10x

=>         x   =  5

So from  I  =  (200 + 5x) (50-x ) we have

          I  =  (200 + 5 (5)) (50-5 )

           I  = \$ 10125

So the amount the club should charge is    

         y  =  \frac{10125}{50 - 5}

         y  =  \$ 225

         

7 0
3 years ago
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