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Illusion [34]
3 years ago
13

Determine which ratio forms a proportion with 18/21 by writing the ratios in simplest form.

Mathematics
2 answers:
11111nata11111 [884]3 years ago
5 0

Answer:

correct answer is option B

Step-by-step explanation:

the given ratio

     18/21....................(1)

as the options in the comments you mentioned are

A) 66/70

B)12/14

C ) 12/70

to solve this convert the given ratio in simplest form

\dfrac{18}{21}=\dfrac{6}{7}

A)\dfrac{66}{70}=\dfrac{33}{35}

B) \dfrac{12}{14}=\dfrac{6}{7}

C ) \dfrac{12}{70}=\dfrac{6}{35}

hence, the correct answer is option B

Andru [333]3 years ago
4 0
What are the ratios?
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Ainat [17]

Answer: The AP = 1, ⁷/₂, 6, ¹⁷/₂, 11 ..............

Step-by-step explanation:

From the first statement,

S₅ = ⁵/₂(2a + ( n - 1 )d }    = 30

       5(2a  + 4d )d           = 60

       10a    + 20d             = 60

reduce to lowest term to easy calculation by dividing through by 10

                      a + 2d       = 6 -----------------------------------1

second statement

sum of the next 4 terms inclusive

T₉  = ⁹/₂(2a + 8d )   = 69

        9(2a  + 8d )    = 30 + 69

            18a + 72d   = 99 x 2

            18a + 72d   = 198

divide through by 18 to reduce to lowest time

                a  + 4d    = 11 ------------------------------------------2

Now solve the two equation simultaneously to find a and d

                 a + 2d = 6

                 a + 4d = 11

                     -2d  = -5

                          d = ⁵/₂.

Now substitute  for d to get a

               a  + 2(⁵/₂) = 6

                a + 5       = 6

                           a   = 6 - 5

                            a = 1.

Therefore the AP = 1 , ⁷/₂ , 6 , ¹⁷/₂ , 11 , ..............

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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