Question

1. The solution of 4x+18 / 5x = 2 is...
2. The solution of 14 - x ≥ 12 is.....
3. The smallest member of the solution set of 3x - 7 > 8 is....
4. A motor bike travels 225 km with 5 liters of gas. If that motor bike travels 135 km then it needs.... Liters of gas.
5. Some people working at the rate of 6 hours a day can complete the work on 19,5 days , as they have received another contract , they want to finish this work early. Now, they start working 6,5 finish hours a day. They Will finish this work in ..... Days.

Answer 1

Verified answer

Penjelasan dengan langkah-langkah:

1. 4x+18 / 5x = 2

4x+18 = 2*5x

4x+18 = 10x

4x-10x = -18

-6x = -18

x = -18/-6

x = 3

2. 14-x ≥ 12

-x ≥ 12-14

-x ≥ -2

x ≥ 2

3. `3x-7 > 8

3x > 8+7

3x > 15

x > 15/3

x> 5

maaf hanya bisa sampai disini saja

semoga membantu : )

Answer 2

Linear Equations and Linear Inequalities Systems

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How to:

1. The solution of 4x + 18 / 5x = 2 is..

4x + 18 / 5x = 2 (use cross multiply)

2(5x) = 4x + 18

10x = 4x + 18 (substract 4x on both sides)

10x - 4x = 18

6x = 18

x = 3

The final solution is x = 3

2. The solution of 14 - x ≥ 2 is...

14 - x ≥ 2 (substract -14 on both sides)

- x ≥ 2 - 14

- x ≥ - 12 (change the symbol to "≤", because it will divided/multiplied by negative number )

x ≤ 12

The final solution in x ≤ 12

3. The smallest member of the solution set of 3x - 7 > 8 is...

3x - 7 > 8 (adding 7 on both sides to remove - 7 on left side)

3x > 8 + 7

3x > 15

x > 5

x > 5, x must be greater than 5*

*it's difficult to find the smallest member from solution. There's a lot of real numbers. But, if the number was a member of integer numbers, the smallest is 6.

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4. A motor bike travles 225 km with 5 litres of gas. If that motor bike travels 135 km then it need ... litres of gas.

Let x to be final solution (amount of litres of gas)

5/225 = x/135 (use cross multiply to find x)

225x = 135(5)

225x = 675

x = 3

The motor bike needs 3 litres to travels 135 km

5. Some people working at the rate of 6 hours a day can complete the work on 19,5 days. As they received another contract, they want to finish this work early. Now, they start working 6,5 finish hours a day. They will finish this work in .. days.

Let x to be final solution (amount of days)

ab = cd ⇒d = ab/c

a = 6

b = 19,5

c = 6,5

x = (6 x 19,5) / 6,5

x = 117 / 6,5

x = 18

They'll complete the work within 18 days.

*End of Task"