Question

4\7=8+2а\215/12=30\44+7а.

Answer 1

Второе не получается

Answer 2

To solve the equation:

4/7 = 8 + (2a/215) / (12/30) = 30 / (44 + 7a)

First, let's simplify the equation by multiplying both sides by the denominators to eliminate the fractions:

(4/7) * (12/30) = (8 + 2a/215) * (30 / (44 + 7a))

Simplifying further:

(4/7) * (12/30) = (8 * 30) / (44 + 7a) + (2a/215) * (30 / (44 + 7a))

Now, let's simplify the left side:

(4/7) * (12/30) = (4/7) * (2/5) = 8/35

And the right side:

(8 * 30) / (44 + 7a) + (2a/215) * (30 / (44 + 7a)) = (240 / (44 + 7a)) + (2a/215) * (30 / (44 + 7a))

Combining the fractions on the right side:

= (240 + (2a/215) * 30) / (44 + 7a) = (240 + (60a/215)) / (44 + 7a)

Now we can set the left and right side equal to each other:

8/35 = (240 + (60a/215)) / (44 + 7a)

To solve for 'a', we can cross-multiply:

(8/35) * (44 + 7a) = 240 + (60a/215)

Expanding and simplifying:

(8/35) * 44 + (8/35) * 7a = 240 + (60a/215)

(352/35) + (56/35)a = 240 + (60a/215)

Now, let's combine the 'a' terms on one side and the constant terms on the other side:

(56/35)a - (60a/215) = 240 - (352/35)

Multiplying through by the least common denominator, which is 1505:

(1505 * (56/35)a - 1505 * (60a/215)) = 1505 * (240 - (352/35))

Simplifying:

(215 * 56a - 35 * 60a) = 1505 * (8400 - 352)

(12040a - 2100a) = 1505 * (8048)

Now, we can solve for 'a':

9840a = 12168440

a = 12168440 / 9840

a ≈ 1236.93

Therefore, the approximate value of 'a' that satisfies the equation is approximately 1236.93.