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REY [17]
3 years ago
5

A holiday toy drive is putting together baskets for children they’re 84 toys and 56 books if each basket or see the same number

of toys and books and how many baskets can be made
Mathematics
1 answer:
leva [86]3 years ago
6 0

Answer:

28 baskets

Step-by-step explanation:

Given:

Total number of toys = 84

Total number of books = 56

To find the number of baskets than can be made by putting same number of toys and books in each basket.

Solution:

In order to find the number of baskets that can made by dividing 84 toys and 56 books equally in each basket, we will find the greatest common factor of the two numbers.

The factors of the numbers can be given as:

84=2\times 2\times 3\times 7

56=2\times 2\times 2\times 7

Thus, G.C.F.= 2\times 2\times 7=28

Thus, a total 28 baskets can be made, each basket having 3 toys and 2 books.

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Given the function defined below, what is the value of the 4th term?
MakcuM [25]

Answer:

The 4 t h term is   f(4)   = 143

Step-by-step explanation:

<em>Explanation</em>:-

Given  function f(1) = -4

Given 'nth' term is  f(n) = -3f(n-1) +5

Put n =2         <em> f(2) = -3 f(2-1) +5</em>

                             = -3 f(1) +5

                             = -3 (-4) +5

                             = 12 +5

                       f(2) = 17

put n= 3      

                         f(n) = -3f(n-1) +5  

                      <em>   f(3) = -3 f(3-1) +5</em>

                            = -3f(2) +5

                           = -3(17) +5

                           = -51+5

                      f(3) = -46

Put n=4

                  f(n) = -3f(n-1) +5

               <em>  f(4)  = -3f(4-1) +5</em>

<em>                  f(4)  = -3f(3)+5</em>

                f(4)   = -3(-46)+5

                f(4)   = 138 +5

                f(4)   = 143

<u><em>Final answer</em></u>:-

<em>The 4 t h term is   f(4)   = 143</em>

         

6 0
3 years ago
Which of the following numbers is a Mersenne prime?<br> A: 90<br> B: 27 - 1<br> C: 211 - 1<br> D: 15
My name is Ann [436]

Answer:

  B:  2⁷-1 = 127

Step-by-step explanation:

A Mersenne prime is a prime of the form 2^n -1, where n is also a prime.

Among the answer choices, neither 90=2·3²·5 nor 15=3·5 is prime. Both 2⁷-1 = 127 and 2¹¹-1 = 2047 are of the right form, but 2047 = 23·89 is a composite number.

  2⁷-1 = 127 is a Mersenne prime

3 0
3 years ago
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earnstyle [38]
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wariber [46]

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