Question

                           №7 сравни (а+60)*4_а*5+240 (а*с)*42_(с*6)*(а*8) (t+900)/90_t/90+10 (a-125)*4_a*4-500 (x-140)/7_x/7-70 d/(10*2)_d/10/2                                                                    

Answer 1

(а+60)*4  <  а*5+240

(а*с)*42  > (с*6)*(а*8)

(t+900)/90 = t/90+10

(a-125)*4 = a*4-500

(x-140)/7 > x/7-70

d/(10*2)  = d/10/2

Answer 2

To compare these expressions, we can simplify them and then evaluate them for different values of the variable(s) involved. Here are the simplifications:

1. (a+60)4_а5+240 = 4a + 240

2. (ac)42_(c6)(a*8) = 42ac - 48ac = -6ac

3. (t+900)/90_t/90+10 = t/90 + 10

4. (a-125)4_a4-500 = 4a - 500

5. (x-140)/7_x/7-70 = x/7 - 70

6. d/(10*2)_d/10/2 = d/20

Now, to compare these expressions, we can evaluate them for different values of the variables involved. Let's assume:

a = 10 c = 5 t = 180 x = 350 d = 40

Using these values, we get:

1. (a+60)4_а5+240 = (10+60)*4 = 280

2. (ac)42_(c6)(a8) = (105)42 - (56)(108) = 210 - 240 = -30

3. (t+900)/90_t/90+10 = 180/90 + 10 = 12

4. (a-125)4_a4-500 = (10-125)*4 = -460

5. (x-140)/7_x/7-70 = (350-140)/7 - 70 = 10

6. d/(10*2)_d/10/2 = 40/20 = 2

Based on these values, we can rank the expressions from smallest to largest as follows:

4. (a-125)4_a4-500 = -460

5. (ac)42_(c6)(a*8) = -30

6. d/(10*2)_d/10/2 = 2

7. (x-140)/7_x/7-70 = 10

8. (t+900)/90_t/90+10 = 12

9. (a+60)4_а5+240 = 280

Therefore, in this specific case, the expression with the smallest value is (a-125)4_a4-500, and the expression with the largest value is (a+60)4_а5+240.