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weeeeeb [17]
2 years ago
5

Find the value of each variable. Be sure to explain your answers.

Mathematics
2 answers:
Flura [38]2 years ago
7 0

Answer: A = -10. B = 54. C = -1008. D = -1000

Step-by-step explanation:

a * 3= - 30  You must divide 3 on both sides in order to get the a alone.

a * 3/3= - 30/3   And once you divide 3 from both sides you end up with

a= -10  And a equals negative 10

-9 * b = 45  You have to add 9 to both sides to get b alone.

-9 +9 *b= 45 +9 And you end up with with

b= 54   b equals 54

-84 * 12= c  Since the c is already alone all you have to do is solve the problem

-84 time 12 eqauls -1008, its a negative because it has a negative in the equation

-1008= c

d *88 = -88,000  You have to divide 88 from both sides to get the d alone.

d * 88/88 = -88,000/88. And you end up with

D = -1000  d equals negative 1000

Mariana [72]2 years ago
5 0

Answer:

a = -10

b = -5

c = -1008

d =-1000

Step-by-step explanation:

a = -30/3

b = 45/-9

c = -84x12

d = -88000/88

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3 years ago
If M is the set of all square of integers that are less than 100 and N is the set of all positive even numbers that are under 30
irina [24]

Answer:

a) M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

   N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b) M ∩ N = {4 , 16 }

M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 , 26 , 28 ,

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a) X = {e , i , g , h , t , y}

   W = {e , n , s , t , v , y}

b) X ∪ W = {e , i , g , h , n , s , t , v , y}

X ∩ W = {e , t , y}

Step-by-step explanation:

* Lets explain how to solve the problem

- We can find a square number by multiply the number by itself

a)

- M is the set of all square integers that are less than 100

∵ The integers from -9 to 9 has square less than 100

∴ M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

- N is the set of all positive even numbers that are under 30

∵ Even number any number divisible by 2

∵ They are positive numbers

∴ They start with 2 because zero is not a positive or negative

∴ N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b)

- M ∩ N means the common numbers between set M and set N

∵ The common elements of M ∩ N are square and even less

   than 30

∴ M ∩ N = {4 , 16 }

- M ∪ N means all the elements in M and N without reputation

∴ M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 ,

  26 , 28 , 36 , 49 , 64 , 81}

a)

- X is the set of all letters of the word eighty

∵ The letters of word eighty are e i g h t y

∴ X = {e , i , g , h , t , y}

- W be the set of all letters of the word seventy

∵ The letters of word seventy are s e v e n t y

∵ We don't repeat any element in the set

∴ W = {e , n , s , t , v , y}

b)

- X ∪ W means all the elements in X and W without reputation

∴ X ∪ W = {e , i , g , h , n , s , t , v , y}

- X ∩ W means the common elements between set X and set W

∵ The common letters between X and W are e , t , y

∴ X ∩ W = {e , t , y}

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Step-by-step explanation:

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