Question

1. solve 3(5m- 7) + 9= 15/2
2. by what number should 3¹³ be divided to obtain 243?


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Answer 1

Answer:

3

(

5

−

7

)

+

9

=

1

5

2

1

5

−

2

1

+

9

=

1

5

2

2)

Step-by-step explanation:

Answer 2

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Step-by-step explanation:

$3(5m - 7) + 9 = \frac{15}{2} \\ 15m - 21 + 9 = \frac{15}{2} \\ \\ 15m - 12 = \frac{15}{2} \\ send \: 2 \: to \: LHS \: we \: get \\ 2(15m - 12) = 15$

$30m - 24 = 15 \\ 30m \: = 15 + 24 \\ 30m \: = 39 \\ m \: = \frac{39}{30} \\ m \: = \frac{13}{10} = 1.3$

therefore the value of m is 1.3 or 13/10

2) Let the unknown number be x

then

$\frac{x}{ {3}^{13} } = 243 \\ \\ \frac{x}{1,594,323} = 243 \\ \\ x = 1,594,323 \times 243 \\ x \: = 387,420,489$

therefore 387,420,489 should be divided with 3¹³ to get 243