Question

139. 1) (-14 a + 7x) - (-22x + 11); 2) -2,5(10a - 1) + 3,8(5a - 3);3) - (120 + 18) - (96 - 0,9).​

Answer 1

Ответ:

1) 29x - 14a - 11

2) -6a - 8,9

3) -233,1

Пошаговое объяснение:

1) (-14a + 7x) - (-22x + 11)

раскрываем скобки

-14a + 7x + 22x - 11 = 29x - 14a - 11

========================

2) -2,5(10a - 1) + 3,8(5a - 3)

раскрываем скобки

-25a + 2,5 + 19a - 11,4 = -6a - 8,9

========================

3) - (120 + 18) - (96 - 0,9)

раскрываем скобки

-120 - 18 - 96 + 0,9 = -233,1

Answer 2

Let's simplify each of the expressions:

1. (-14a + 7x) - (-22x + 11):

To simplify this expression, distribute the negative sign inside the second set of parentheses:

-(-22x + 11) becomes 22x - 11.

Now, you can combine like terms:

(-14a + 7x) - (22x - 11) = -14a + 7x - 22x + 11.

Now, combine the like terms for the 'x' and constant values:

(-14a - 15x + 11).

So, the simplified expression is -14a - 15x + 11.

2. -2.5(10a - 1) + 3.8(5a - 3):

To simplify this expression, distribute the constants inside the parentheses:

-2.5 * 10a + 2.5 * 1 + 3.8 * 5a - 3.8 * 3.

Now, perform the multiplications:

-25a + 2.5 + 19a - 11.4.

Now, combine the 'a' and constant terms:

(-25a + 19a) + (2.5 - 11.4) = -6a - 8.9.

So, the simplified expression is -6a - 8.9.

3. -(120 + 18) - (96 - 0.9):

First, simplify the expressions inside the parentheses:

-(120 + 18) = -138, and -(96 - 0.9) = -95.1.

Now, you can subtract the two results:

-138 - (-95.1).

Remember that subtracting a negative is the same as adding the positive, so:

-138 + 95.1 = -42.9.

So, the simplified expression is -42.9.