Решите уровнения: 1. (1,15+х)*3,8=9,5 2 .9:(7,8-х)=3,6 3. 27,6 + 14,6х=64,1 4. 36,5:х-8,1=6,5 5.
7,2у + 4,5у=21,06 6. 3,4х-3,2х=15,2 и задачу: Купили 1,8 кг рыбы и 1,5 кг мяса. За всю покупку заплатили 93,96 грн. Сколько стоит 1 кг рыбы, если 1 кг мяса стоит 37,2 грн.? спасибоОтветы на вопрос
4.37+3.8х=9.5
3.8х=5.13
х=1.35
2) 9:(7,8-х)=3,6
9=(7.8-х)*3.6
9=28.08-3.6х
-3,6х=-19,08
х=5.3
3)27,6 + 14,6х=64,1
14.6х=36.5
х=2.5
4)36,5:х-8,1=6,5
36,5:х=14.6
36.5=14.6х
х=2.5
5) 7,2у + 4,5у=21,06
11.7у=21.06
у=1.8
6) 3,4х-3,2х=15,2
0.2х=15.2
х=76
5,7+3,8x=9,5
3,8x=9,5-5,7
3,8x=3,8
X=3,8/3,8
X=1
Equations:
To solve the given equations, let's go through each one step by step.1. (1.15 + x) * 3.8 = 9.5 + 2 2. 0.9 / (7.8 - x) = 3.6 + 3 3. 27.6 + 14.6x = 64.1 + 4 4. 36.5 / x - 8.1 = 6.5 + 5 5. 7.2y + 4.5y = 21.06 + 6 6. 3.4x - 3.2x = 15.2
Let's solve each equation one by one.
1. (1.15 + x) * 3.8 = 9.5 + 2
Expanding the equation: 3.8 * 1.15 + 3.8 * x = 11.5
Simplifying: 4.37 + 3.8x = 11.5
Subtracting 4.37 from both sides: 3.8x = 11.5 - 4.37
Simplifying: 3.8x = 7.13
Dividing both sides by 3.8: x = 7.13 / 3.8
Calculating: x ≈ 1.876
2. 0.9 / (7.8 - x) = 3.6 + 3
Multiplying both sides by (7.8 - x): 0.9 = (3.6 + 3) * (7.8 - x)
Simplifying: 0.9 = 6.6 * (7.8 - x)
Dividing both sides by 6.6: 0.9 / 6.6 = 7.8 - x
Calculating: 0.13636363636363635 = 7.8 - x
Subtracting 7.8 from both sides: -7.663636363636364 = -x
Multiplying both sides by -1: 7.663636363636364 = x
x ≈ 7.664
3. 27.6 + 14.6x = 64.1 + 4
Subtracting 4 from both sides: 27.6 + 14.6x - 4 = 64.1
Simplifying: 23.6 + 14.6x = 64.1
Subtracting 23.6 from both sides: 14.6x = 64.1 - 23.6
Simplifying: 14.6x = 40.5
Dividing both sides by 14.6: x = 40.5 / 14.6
Calculating: x ≈ 2.77
4. 36.5 / x - 8.1 = 6.5 + 5
Adding 8.1 to both sides: 36.5 / x = 11.5
Multiplying both sides by x: 36.5 = 11.5x
Dividing both sides by 11.5: x = 36.5 / 11.5
Calculating: x ≈ 3.174
5. 7.2y + 4.5y = 21.06 + 6
Combining like terms: 11.7y = 27.06
Dividing both sides by 11.7: y = 27.06 / 11.7
Calculating: y ≈ 2.313
6. 3.4x - 3.2x = 15.2
Combining like terms: 0.2x = 15.2
Dividing both sides by 0.2: x = 15.2 / 0.2
Calculating: x = 76
Problem:
Now let's solve the given problem:"Купили 1.8 кг рыбы и 1.5 кг мяса. За всю покупку заплатили 93.96 грн. Сколько стоит 1 кг рыбы, если 1 кг мяса стоит 37.2 грн.?"
Let's assume the cost of 1 kg of fish is x.
The total cost of fish is 1.8 * x, and the total cost of meat is 1.5 * 37.2.
According to the problem, the total cost of the purchase is 93.96.
So we can write the equation:
1.8x + 1.5 * 37.2 = 93.96
Simplifying: 1.8x + 55.8 = 93.96
Subtracting 55.8 from both sides: 1.8x = 93.96 - 55.8
Simplifying: 1.8x = 38.16
Dividing both sides by 1.8: x = 38.16 / 1.8
Calculating: x ≈ 21.2
Therefore, 1 kg of fish costs approximately 21.2 грн.
I hope this helps! Let me know if you have any further questions.
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