Question

45*(2 7/9 x + 1 2/15x)=176

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the equation 45*(2 7/9x + 1 2/15x) = 176, we need to simplify the expression on the left side of the equation and then solve for the variable x.

Let's simplify the expression step by step:

First, convert the mixed numbers to improper fractions: 2 7/9 = (2 * 9 + 7) / 9 = 25/9 1 2/15 = (1 * 15 + 2) / 15 = 17/15

Now, the equation becomes: 45 * (25/9x + 17/15x) = 176

Next, find a common denominator for the fractions in the parentheses: The common denominator for 9 and 15 is 45.

Rewrite the expression with a common denominator: 45 * (25/9x + 17/15x) = 176 45 * [(25/9) * (5/5)x + (17/15) * (3/3)x] = 176 45 * [(125/45)x + (51/45)x] = 176

Combine the fractions with the same denominator: 45 * [(125x/45) + (51x/45)] = 176

Combine the terms inside the parentheses: 45 * [(125x + 51x) / 45] = 176

Combine like terms: 45 * (176x / 45) = 176

Cancel out the common factors: 176x = 45 * 176

Divide both sides of the equation by 176 to solve for x: x = (45 * 176) / 176

Simplify: x = 45

Therefore, the solution to the equation is x = 45.