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WARRIOR [948]
3 years ago
5

Write each decimal as a fraction in simplest terms

Mathematics
2 answers:
sergey [27]3 years ago
3 0

Answer:

A. 25/33

B. 1/3

C. 1/33

D. 25/9

zmey [24]3 years ago
3 0

Answer:

Step-by-step explanation:

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John is 3 years older than Jim. Jim is 4 years less than twice David’s age. How old are the three boys if their ages add up to 3
gulaghasi [49]

Answer:

15  years , 12  years , 8 years.

Step-by-step explanation:

Given:

John is 3 years older than Jim.

Jim is 4 years less than twice David’s age.

Ages of three boys add up to 35.

Question asked:

How old are the three boys?

Solution:

Let age of David = y

Let age of Jim = x

Then age of John will be = x + 3

As Jim is 4 years less than twice David’s age

Equation will be  , x = 2y - 4

Multiplying both side  by 2

                       = 2x = 4y - 8  (let equation 1 )

As ages of three boys add up to 35.

Equation will be,x + (x + 3) + y = 35

                           = 2x + 3 + y = 35

Subtracting both side by 3

                           =   2x + y = 32

                          = 2x = - y + 32  (let equation 2 )

subtracting equation 1 and 2,we get

                           =  2x = - y + 32

                          =   2x = 4y - 8

                          =  0 = - 5y + 40

                          = 5y = 40

dividing both side by 5

                              = y = 8 (David ages)

Then  ( age of Jim)  x = 2y - 4

                                 x = 2 \times8 - 4

                                    = 16 - 4

                                    = 12 years

Then age of John will be, x + 3

                                            = 12 + 3

                                            = 15 years

Thus, age of John = 15 years

Age of Jim = 12 years

Age of David = 8 years

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Consider the radical equation (3√6-x)+4=-8.Check the solution.
Makovka662 [10]

Answer:

x=12+3\sqrt{6}\\

Step-by-step explanation:

Hello! to solve this exercise we must apply algebra and the concept of the equality of the equations, remember what we do on the side of the equation we must repeat it on the other side in order not to alter the equality

(3\sqrt{6} -x)+4=-8\\(3\sqrt{6} -x)+4-4=-8-4\\3\sqrt{6} -x=-12\\3\sqrt{6}-3\sqrt{6} -x=-12-3\sqrt{6}\\-x=-12-3\sqrt{6}\\

x=12+3\sqrt{6}\\

to verify the solution we replace x in the original equation

(3\sqrt{6} -x)+4=-8\\(3\sqrt{6} -(12+3\sqrt{6})+4=-8\\-12+4=-8\\-8=-8

how equality is met we have verified the answer

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4 years ago
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