Question

2. 11/8 - 15/16 : 25/28 4. (-8,4+1,9):1,3 7. 4x - |-19-8x| при x=5 9. 65/96 : (5/16 - 7/12) + 10 * 1 3/20 11. На заправочной станции в январе бензин стоил 40р.за литр. К июлю цена на бензин выросла на 3%, а к ноябрю ещё на 10%. Сколько рублей стоил литр бензина в ноябре?

Answer 1

2. 0,325

4. -5

7. 4*(-8)-(-8+5)=-32-(-3)=-32+3=-29

9. 4

11.

40/100%×3%=1,2 рубля

40 + 1,2=41,2 рубля

41,2/100%×10%=4,12 рубля

41,2+4,12=45,22 рубля

Answer 2

Calculation 2: 11/8 - 15/16

To calculate the expression 11/8 - 15/16, we need to find a common denominator for the fractions. The least common multiple (LCM) of 8 and 16 is 16.

Converting the fractions to have a denominator of 16:

- 11/8 becomes 22/16 (multiply the numerator and denominator by 2). - 15/16 remains the same.

Now, we can subtract the fractions:

22/16 - 15/16 = 7/16.

Therefore, 11/8 - 15/16 = 7/16.

Calculation 4: (-8.4 + 1.9) / 1.3

To calculate the expression (-8.4 + 1.9) / 1.3, we simply perform the addition and division in order.

- -8.4 + 1.9 = -6.5. - -6.5 / 1.3 = -5.

Therefore, (-8.4 + 1.9) / 1.3 = -5.

Calculation 7: 4x - |-19 - 8x| when x = 5

To calculate the expression 4x - |-19 - 8x| when x = 5, we substitute the value of x into the expression and perform the calculations.

- 4(5) = 20. - |-19 - 8(5)| = |-19 - 40| = |-59| = 59.

Therefore, 4x - |-19 - 8x| when x = 5 is 20 - 59 = -39.

Calculation 9: 65/96 : (5/16 - 7/12)

To calculate the expression 65/96 : (5/16 - 7/12), we need to perform the subtraction inside the parentheses first.

- 5/16 - 7/12: - The least common multiple (LCM) of 16 and 12 is 48. - Converting the fractions to have a denominator of 48: - 5/16 becomes 15/48 (multiply the numerator and denominator by 3). - 7/12 becomes 28/48 (multiply the numerator and denominator by 4). - Now, we can subtract the fractions: - 15/48 - 28/48 = -13/48.

Now, we can divide 65/96 by -13/48:

- 65/96 : (-13/48): - Dividing fractions is the same as multiplying by the reciprocal, so we can rewrite the expression as: - 65/96 * (-48/13). - Multiplying the fractions: - 65/96 * (-48/13) = -3120/1248. - Simplifying the fraction: - The greatest common divisor (GCD) of 3120 and 1248 is 624. - Dividing both the numerator and denominator by 624: - -3120/1248 = -5/2.

Therefore, 65/96 : (5/16 - 7/12) = -5/2.

Gasoline Price Increase Calculation

In January, the price of gasoline was 40 rubles per liter. From January to July, the price increased by 3%, and from July to November, it increased by an additional 10%.

To calculate the price of gasoline in November, we can follow these steps:

1. Calculate the price increase from January to July: - 3% of 40 rubles = 0.03 * 40 = 1.2 rubles. - The new price in July is 40 + 1.2 = 41.2 rubles per liter.

2. Calculate the price increase from July to November: - 10% of 41.2 rubles = 0.1 * 41.2 = 4.12 rubles. - The new price in November is 41.2 + 4.12 = 45.32 rubles per liter.

Therefore, the price of gasoline in November was 45.32 rubles per liter.