Question

5) 4(10-m) + 3(1+m) при m + -0,723 ., 6) 4(b+1)+5(7-b) при b= -71/79., 7) 1/3(9X +6) -5(0,3-2x) при X=7/26 ., 8) 1/7(14X +21)- 3(1,5-2X) ПРИ Х = -9/16

Answer 1

5)4(10-m) + 3(1+m)=40-4m+3+3m=43-m

6)4(b+1)+5(7-b)=4b+4+35-5b=b+39

7)1/3(9X +6) -5(0,3-2x)=3x+2-1,5+10x=13x+0,5

8)1/7(14X +21)- 3(1,5-2X)=2x+3-4,5+6x=8x-1,5

Потом просто числа подставь вместо букв и все.

Answer 2

To evaluate the given expressions, simply substitute the values of the variables and perform the arithmetic operations.

Let's calculate each expression step by step:

5. 4(10-m) + 3(1+m) when m = -0.723:

Step 1: Replace m with -0.723 4(10 - (-0.723)) + 3(1 - 0.723)

Step 2: Simplify the expressions inside the parentheses 4(10.723) + 3(0.277)

Step 3: Perform the multiplications 42.892 + 0.831

Step 4: Add the terms together 42.892 + 0.831 = 43.723

So, the value of the expression is approximately 43.723.

6. 4(b+1) + 5(7-b) when b = -71/79:

Step 1: Replace b with -71/79 4((-71/79) + 1) + 5(7 - (-71/79))

Step 2: Simplify the expressions inside the parentheses 4((-71/79) + 79/79) + 5(553/79 + 71/79)

Step 3: Perform the additions inside the parentheses 4(8/79) + 5(624/79)

Step 4: Perform the multiplications (32/79) + (3120/79)

Step 5: Add the terms together 32/79 + 3120/79 = 3152/79

So, the value of the expression is 3152/79.

7. 1/3(9X + 6) - 5(0.3 - 2X) when X = 7/26:

Step 1: Replace X with 7/26 1/3(9(7/26) + 6) - 5(0.3 - 2(7/26))

Step 2: Simplify the expressions inside the parentheses 1/3((63/26) + 6) - 5(0.3 - 14/26)

Step 3: Perform the additions and subtractions inside the parentheses 1/3(63/26 + 156/26) - 5(12/26 - 14/26)

Step 4: Perform the additions and subtractions inside the parentheses 1/3(219/26) - 5(-2/26)

Step 5: Simplify the fractions 1/3(219/26) + 5(2/26)

Step 6: Perform the multiplications 73/26 + 10/26

Step 7: Add the terms together (73 + 10)/26 = 83/26

So, the value of the expression is 83/26.

8. 1/7(14X + 21) - 3(1.5 - 2X) when X = -9/16:

Step 1: Replace X with -9/16 1/7(14(-9/16) + 21) - 3(1.5 - 2(-9/16))

Step 2: Simplify the expressions inside the parentheses 1/7(-126/16 + 21) - 3(1.5 + 18/16)

Step 3: Perform the additions and subtractions inside the parentheses 1/7(-126/16 + 336/16) - 3(1.5 + 9/8)

Step 4: Perform the additions and subtractions inside the parentheses 1/7(210/16) - 3(3/2 + 9/8)

Step 5: Simplify the fractions 1/7(210/16) - 3(12/8 + 9/8)

Step 6: Perform the multiplications 30/16 - 3(21/8)

Step 7: Perform the multiplications 30/16 - 63/8

Step 8: Convert the fractions to a common denominator 30/16 - (632)/(82)

Step 9: Perform the subtraction 30/16 - 126/16

Step 10: Simplify the result (30 - 126)/16 = -96/16

Step 11: Reduce the fraction (optional) -96/16 = -6

So, the value of the expression is -6.