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Arte-miy333 [17]
3 years ago
15

April and Amy are twin sisters. They have a total of 120 CDs. If Amy has twice as many CDs as April. How many CDs do they each h

ave?
Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0
120 = 2x + x
120 = 3x
120/3 = x
40=x <- Solved for how many cds april has.
Since amy has twice as many cds, she would have 80 cds
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Find 2 consecutive odd integers sum of who's square is 290​ pls send fast
ELEN [110]

Answer:

<h3>Hence required integers are 11 and 13</h3>

Let x an odd positive integer

Then, according to question

x^2 +(x+2)^2=290

2x^2 +4x−286=0

x^2 +2x−143=0

x ^2+13x−11x−143=0

(x+13)(x−11)=0

x=11 as x is positive

Hence required integers are 11 and 13

Step-by-step explanation:

Hope it is helpful....

7 0
3 years ago
Write the equation of 4x+5t=20 in slope-intercept form
Aleonysh [2.5K]

Answer:

y=(-4/5)x+4

Step-by-step explanation:

4x+5y=20

5y=-4x+20

y=(-4/5)x+4

4 0
3 years ago
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Mrs. Smith left a 15% tip for a dinner that cost $62.40. About how much tip did Mrs. Smith leave?​
Veronika [31]

<u>Given </u><u>:</u><u>-</u><u> </u>

  • Mrs. Smith left a 15% tip for a dinner that cost $62.40.

<u>To </u><u>find</u><u> </u><u>:</u><u>-</u><u> </u>

  • About how much tip did Mrs. Smith leave?

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

The tip is 15% of $62.40 .

<u>•</u><u> </u><u>Calculating</u><u> </u><u>1</u><u>5</u><u>%</u><u> </u><u>of </u><u>$</u><u>6</u><u>2</u><u>.</u><u>4</u><u>0</u><u> </u>

  • $ 62.40 * 15%
  • $ 62.40 * 15/100
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4 0
3 years ago
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A box contains 3 green marbles, 5 blue marbles, and 7 red marbles. Three marbles are selected at random from the box, one at a t
USPshnik [31]

Answer:

The probability is  P(K)  =   \frac{ 28 }{195}

Step-by-step explanation:

From the question we are told that

   The number of green marbles is  n_g  =  3

    The number of red marbles is  n_b  =  5

     The number of red marbles is  n_r  =  7

Generally the total number of marbles is mathematically represented as

       n_t  =  n_r  +  n_g + n_ b

        n_t  =  7 +  3 + 5

         n_t  = 5

Generally total number of marbles that are not red is  

     n_k  =  n_g +  n_ b

=>  n_k  =   3 +   5

=>  n_k  =  8

The probability of the first ball not being red is mathematically represented as  

      P(r') =  \frac{n_k}{n_t}

=>  P(r') =  \frac{ 8}{15}

The probability of the second ball not being red is mathematically represented as

      P(r'') =  \frac{n_k - 1}{n_t -1}

=>  P(r'') =  \frac{ 8 -1 }{15-1} (the subtraction is because the marbles where selected without replacement  )

=>  P(r'') =  \frac{ 7 }{14}

The probability that the first two balls  is  not red is mathematically represented as

    P(R) =  P(r') *  P(r'')

=>  P(R) =  \frac{ 8}{15} *   \frac{ 7 }{14}

=>  P(R) =  \frac{ 8 }{30}

The probability of the third ball being red is mathematically represented as

   P(r) =  \frac{n_r}{ n_t -2} (the subtraction is because the marbles where selected without replacement  )

     P(r) =  \frac{7}{ 15 -2}

=>    P(r) =  \frac{7}{ 13}

Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as

        P(K)  =  P(R) * P(r)

         P(K)  =   \frac{ 8 }{30} * \frac{7}{ 13}

=>      P(K)  =   \frac{ 28 }{195}

6 0
3 years ago
3x+3y=180 what is the answer to this problem
Hatshy [7]

Answer:

If you are solving the equation for x :

3x + 3y = 180

3x = -3y + 180

x = -y + 60 or x = 60 - y

If you are solving the equation for y:

3x + 3y = 180

3y = -3x + 180

y = -x + 60 or y = 60 - x

3 0
3 years ago
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