Question

2 1/3 (а+6) -7 2/3(3-а) при а = -0,7 yes yes

Answer 1

2 1/3 · (а + 6) - 7 2/3 · (3 - а) = 7/3 · (а + 6) - 23/3 · (3 - а) =

= (7/3)а + 14 - 23  + (23/3)а = (30/3)а - 9 = 10а - 9

при а = -0,7

10 · (-0,7) - 9 = -7 - 9 = -16

Ответ: (-16).

Answer 2

To evaluate the expression 2 1/3 (а + 6) - 7 2/3(3 - а) when а = -0.7, follow these steps:

Step 1: Substitute the value of а into the expression: а = -0.7 2 1/3 (-0.7 + 6) - 7 2/3(3 - (-0.7))

Step 2: Perform the arithmetic operations inside the parentheses: 2 1/3 (5.3) - 7 2/3 (3.7)

Step 3: Multiply the whole numbers by the fractions: (7/3) * 5.3 - (22/3) * 3.7

Step 4: Perform the multiplication: (37/3) - (81.4/3)

Step 5: Combine the fractions: (37 - 81.4)/3

Step 6: Subtract the values: -44.4/3

Now, to express the result as a mixed number (a whole number and a proper fraction), divide the numerator (-44.4) by the denominator (3):

-44.4 ÷ 3 = -14.8

So, the final result is approximately -14 4/5 when а = -0.7.