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jekas [21]
2 years ago
11

Apply the distributive property to the expression 7(2x - 8y - 6) to produce an equivalent expression.

Mathematics
1 answer:
MaRussiya [10]2 years ago
4 0

Answer:

14x-56y-42

Step-by-step explanation:

Given data

We have the expression

7(2x - 8y - 6)

Open the bracket we have

14x-56y-42

Hence the equivalent expression is

14x-56y-42

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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
What is 97,000 in scientific notation?
lianna [129]

Answer:

9.7 * 10 to power of 4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Translate (in terms of x) then solve the algebraic equation: The sum of a number and 3 is subtracted from 10 the result is 5.
vitfil [10]

Answer:

The answer is 2

Step-by-step explanation:

Let the number be x

10 - (3 + x) = 5

10 - 3 -x = 5

7 - x = 5

x = 7-5

x = 2

8 0
2 years ago
Bill worked 24 hours last week and earns $8.25 per hour. what is the total amount of money he earned
11Alexandr11 [23.1K]

Answer:

198

You times 8.25 by 34 which would come out as 198

3 0
2 years ago
the area of a trapezoid is 780 cm squared. the shorter base is 48 cm and the height is 15 cm. Find the length of the other base
Anna35 [415]
If you multiply 48cm times 15cm,you get 720cm.Which would leave you with 60 left because 780 minus 720 equals 60.The height of the other base is 60cm.
6 0
3 years ago
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