To divide 4 1/2 by 3/4, convert 4 1/2 to the improper fraction 9/2. Then, multiply it by the reciprocal of 3/4. The result is 6.
To divide a mixed number by a fraction, we first need to convert the mixed number to an improper fraction. In this case, 4 1/2 can be written as the improper fraction 9/2. Then, we can multiply the numerator of the first fraction (9/2) by the reciprocal of the second fraction (4/3).
So, 4 1/2 ÷ 3/4 = (9/2) × (4/3) = 36/6 = 6.
Therefore, 4 1/2 ÷ 3/4 equals 6.
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Answer: 4
Explanation:
1) Find the divisors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 20, 30, 40, 60, and 120.
2) Choose combinations of even numbers for the rows and odd number for the columns:
row ------ column
8 ---------- 15 ----- ↔ 8 × 15 = 120
24 -------- 5 ------ ↔ 24 × 5 = 120
40 -------- 3 ------ ↔ 40 × 3 = 120
120 ------ 1 -------- ↔ 120 × 1 = 120
Those are the only arrangements with an even number of rows and odd number of columns: 4 in total.
simplify 3^5 x 3^4
The given condition is- A bottle contains 20% milk and the rest water. The bottle has 1 liter of water.
Part A:
Let the amount of mixture in the bottle be = x ; mixture will be amount of water plus milk
Given is- the bottle has 1 liter of water and 20% is milk. 20% is 0.2
Hence equation will be:
Part B:
Solving the equation
= 1.25
Hence, total mixture is 1.25 liters.
Water is 1 liter so milk will be =
Or it can also be solved using milk percentage of 0.2%
Hence, milk is 0.25 liter