Question

10) 0,98:Х+8/15=10 1/3

Answer 1

Ответ:

$0,98:x+\dfrac{8}{15}=10\dfrac{1}{3}\\\\\\\dfrac{98}{100}:x=\dfrac{31}{3}-\dfrac{8}{15}\\\\\\\dfrac{98}{100}:x=\dfrac{155-8}{15}\\\\\\\dfrac{98}{100}:x=\dfrac{147}{15}\\\\\\\dfrac{49}{50\, x}=\dfrac{49}{5}\\\\\\50x=\dfrac{49\cdot 5}{49}\\\\\\50x=5\\\\\\x=\dfrac{1}{10}\\\\\\x=0,1$

Answer 2

Ответ:

0,98÷х+8/15=10 1/3

0,98×х=10 1/3-8/15

0,98÷x=10 5/15-8/15

0,98÷x=9 20/15-8/15

0,98÷x=9 12/15

0,98÷x=9 4/5

0,98÷x=9,8

х=0,98÷9,8

х=0,1

Answer 3

To solve for the value of X in the equation:

0.98X + 8/15 = 10 1/3

You need to isolate X on one side of the equation. Here's the step-by-step solution:

1. First, convert 10 1/3 to an improper fraction. 10 1/3 is equivalent to 31/3.

2. Rewrite the equation:

0.98X + 8/15 = 31/3

3. To eliminate the fraction, you can multiply both sides of the equation by 15 (the denominator of 8/15) to get rid of the fractions:

15 * (0.98X + 8/15) = 15 * (31/3)

This simplifies to:

0.98X + 8 = 155/3

4. Next, subtract 8 from both sides of the equation to isolate 0.98X:

0.98X = 155/3 - 8

5. Now, calculate the value on the right side:

0.98X = 155/3 - 24/3 0.98X = 131/3

6. Finally, divide both sides by 0.98 to solve for X:

X = (131/3) / 0.98

Now, divide 131/3 by 0.98:

X ≈ 133.67

So, the value of X is approximately 133.67.