Question

А) 3 3/7х - ( 1 3/14х + 8/21 ), если х = 24, х = 2/11 б)а - ( 1/15а + 3/10а ), если а = 30, а = 1 11/19 С объяснением если можно)

Answer 1

3 3/7 х - (1 3/14 х +8/21х)=3 18/42 х - 1 9/42 х - 16/42 х=1 35/42 х=1 5/6 х
при х=24, 1 5/6 * 24=11/6*24=11*4=44
при х=2/11, 1 5/6*2/11=11/6*2/11=2/6=1/3

.
а-(1/15 а+3/10 а)=а - 1/15а-3/10а=30/30 а - 2/30 а- 9/30 а=19/30 а
при а=30, 19/30*30=19
при а=1 11/19, 19/30 * 1 11/19=19/30 * 30/19=1

Answer 2

Calculation A: 3 + 3/7 * (1 + 3/14 * 8/21), if x = 24, x = 2/11

To solve this expression, we need to substitute the value of x into the equation and perform the calculations step by step.

Let's start by substituting x = 24 into the equation:

3 + 3/7 * (1 + 3/14 * 8/21)

Now, let's simplify the expression inside the parentheses:

1 + 3/14 * 8/21 = 1 + (3 * 8) / (14 * 21) = 1 + 24 / 294 = 1 + 4/49 = 1 + 4/49

Next, let's substitute the simplified expression back into the main equation:

3 + 3/7 * (1 + 4/49)

Now, let's simplify the expression inside the parentheses:

1 + 4/49 = (49 + 4) / 49 = 53 / 49

Substituting the simplified expression back into the main equation:

3 + 3/7 * (53 / 49)

Now, let's simplify the expression:

3/7 * (53 / 49) = (3 * 53) / (7 * 49) = 159 / 343

Finally, let's substitute the simplified expression back into the main equation:

3 + 159 / 343 = (3 * 343 + 159) / 343 = 1029 + 159 / 343 = 1029 + 159 / 343

Therefore, the value of the expression 3 + 3/7 * (1 + 3/14 * 8/21), if x = 24, x = 2/11, is 1029 + 159 / 343.

Calculation B: a + (1/15a + 3/10a), if a = 30, a = 1 11/19

To solve this expression, we need to substitute the value of a into the equation and perform the calculations step by step.

Let's start by substituting a = 30 into the equation:

a + (1/15a + 3/10a)

Now, let's simplify the expression inside the parentheses:

1/15a + 3/10a = (1/15 + 3/10) * a = (2/30 + 9/30) * a = 11/30 * a

Next, let's substitute the simplified expression back into the main equation:

a + (11/30 * a)

Now, let's simplify the expression:

11/30 * a = 11/30 * 30 = 11

Finally, let's substitute the simplified expression back into the main equation:

a + 11 = 30 + 11 = 41

Therefore, the value of the expression a + (1/15a + 3/10a), if a = 30, a = 1 11/19, is 41.

I hope this helps! Let me know if you have any further questions.