Question

1. (5,2-3⅓):1⅓ 2. 3/11х-1/4=0,753.Из общей массы овощей завезённых в магазин, 7/18 составляла свекла, 30% - морковь, а остальные 112кг - капуста. Сколько килограммов овощей завезли в магазин?...........................................................................................................3⅓1⅓3/111/4это дробихэто икс​

Answer 1

1) 0,62
2)3,6
3) Свекла + морковь 7/18 +3/10 = 31/45, значит капуста 14/45 = 112 кг. Тогда общая масса равна 112/14 * 45 = 360 кг

Answer 2

1. To solve the expression (5,2-3⅓):1⅓, let's first simplify the numerator:

5,2 - 3⅓ = 5 + 2 - 3⅓ = 7 - 3⅓ = 6⅔

Now we can divide 6⅔ by 1⅓:

6⅔ : 1⅓ = 6⅔ ÷ 1⅓ = (20/3) ÷ (4/3) = (20/3) × (3/4) = 20/4 = 5

Therefore, the result of the expression (5,2-3⅓):1⅓ is 5.

2. To solve the equation 3/11x - 1/4 = 0.753, we'll start by getting rid of the fractions. Multiply every term in the equation by the least common multiple (LCM) of the denominators, which is 44:

44 * (3/11x) - 44 * (1/4) = 44 * 0.753 12x - 11 = 33.132

Next, let's isolate the variable x by moving the constant term to the other side:

12x = 33.132 + 11 12x = 44.132

Finally, divide both sides of the equation by 12 to solve for x:

x = 44.132 / 12 x ≈ 3.678

Therefore, the approximate value of x in the equation 3/11x - 1/4 = 0.753 is x ≈ 3.678.

3. To find out how many kilograms of vegetables were delivered to the store, we'll add up the quantities of beets, carrots, and cabbage. We're given that beets comprised 7/18 of the total mass, carrots made up 30%, and the remaining 112 kg was cabbage.

Let's calculate the weight of beets: Weight of beets = (7/18) * Total weight

Next, let's calculate the weight of carrots: Weight of carrots = 30/100 * Total weight

Now, we can determine the weight of cabbage: Weight of cabbage = Total weight - (Weight of beets + Weight of carrots)

Since we know that the weight of cabbage is 112 kg, we can set up the equation:

112 = Total weight - ((7/18) * Total weight + (30/100) * Total weight)

To simplify the equation, let's first convert 30% to a fraction:

112 = Total weight - ((7/18) * Total weight + (3/10) * Total weight)

Now we can combine like terms:

112 = Total weight - (7/18 + 3/10) * Total weight

To add the fractions in the parentheses, we need a common denominator, which is 90:

112 = Total weight - ((7/18) * (5/5) + (3/10) * (9/9)) * Total weight 112 = Total weight - (35/90 + 27/90) * Total weight 112 = Total weight - (62/90) * Total weight

To isolate Total weight, we'll move the term with Total weight to the other side:

(62/90) * Total weight = Total weight - 112

Now, we can solve for Total weight:

(62/90 - 1) * Total weight = -112 (62/90 - 90/90) * Total weight = -112 (-28/90) * Total weight = -112

To solve for Total weight, we