Question

8. Розв’язати рівняння 2,6х + 4,4х -3,3х = 78 9. Розв’яжіть задачу Ділянка поля має форму прямокутника зі сторонами 40м і 120м. 45% площі всього поля засіяли житом. Яка площа частини поля, що займає жито?

Answer 1

Solving the Equation 2.6x + 4.4x - 3.3x = 78

To solve the equation 2.6x + 4.4x - 3.3x = 78, we can combine like terms on the left side of the equation:

2.6x + 4.4x - 3.3x = 78 (2.6 + 4.4 - 3.3)x = 78 3.7x = 78

Next, we isolate x by dividing both sides of the equation by 3.7:

3.7x = 78 x = 78 / 3.7

Using a calculator, we can find the value of x:

x ≈ 21.08

Therefore, the solution to the equation 2.6x + 4.4x - 3.3x = 78 is x ≈ 21.08.

Solving the Problem: Area of the Field and the Portion Planted with Wheat

To solve the problem about the field with dimensions 40m by 120m, where 45% of the total field area is planted with wheat, we can follow these steps:

1. Calculate the total area of the field: - The total area of the field is given by the formula: length × width. - In this case, the length is 120m and the width is 40m. - Therefore, the total area of the field is 120m × 40m = 4800m².

2. Calculate the area planted with wheat: - To find the area planted with wheat, we need to calculate 45% of the total field area. - We can do this by multiplying the total area of the field by 0.45 (which is the decimal representation of 45%). - Therefore, the area planted with wheat is 4800m² × 0.45 = 2160m².

Therefore, the area of the field that is planted with wheat is 2160m².

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