Explanation:
In the given equation 3b + 7c = 7c+, we can see that the term 7c is present on both sides. By subtracting 7c from both sides of the equation, it cancels out, leaving 3b = on one side. Therefore, the equation simplifies to 3b =, indicating that 3b is the result.
Explanation:
To find out which box will hold the largest number of 1cm cubes, we calculate the volume of each box. The box with sides 6cm, 4cm, and 4cm will hold the largest number of 1cm cubes, as it has the greatest volume of 96 cm³.
Explanation:
To find 20% of a number, you multiply the number by 0.20 or simply move the decimal point two places to the left. Therefore, 20% × 60 = 0.20 × 60 = 12. So, 20% of 60 is 12.
Explanation:
When you multiply a whole number by 4, you increase its value by a factor of 4. Then, when you divide it by 2, you halve the result. Halving a number is equivalent to multiplying it by 0.5, which is half. So, in total, you are effectively multiplying the original number by 2. Therefore, the final answer will always be twice the original number.
Explanation:
If a 5 cm long line on the chart represents 250 nautical miles, then to find out how many nautical miles are represented by 1 cm, we divide 250 by 5, which equals 50. So, 1 cm represents 50 nautical miles.
Explanation:
To find the missing number, cross multiply: 1 × 36 = 6 × ?. This simplifies to 36 = 6?. Divide both sides by 6:36/6 = 6?/6. This gives 6 = ?. Therefore, the missing number that can replace both question marks is 6.
Explanation:
Division by zero is undefined in mathematics. Therefore, the statement 86 ÷ 0 = 1 is not true.
Explanation:
To find out how many grams are there in 0.7 kilograms, we can use the conversion factor: 1 kilogram = 1000 grams.
So, to convert 0.7 kilograms to grams, we multiply 0.7 by 1000:
0.7 kilograms × 1000 grams/kilogram = 700 grams
Explanation:
To find the value of X, we first need to find the product of 24 × 19.
24 × 19 = 456
So, 24 × 19 = 456.
Now, we have:
24 × 19 = 437 + X
Subtracting 437 from both sides:
456 − 437 = 437 − 437 + X
19 = X
Explanation:
To find the total number of t-shirts, multiply the number of officers and ratings by the total number of t-shirts each receives, then add them together. For officers: 33 officers × (4 white t-shirts + 2 blue t-shirts) = 33 × 6 = 198 t-shirts. For ratings: 75 ratings × (4 white t-shirts + 2 blue t-shirts) = 75 × 6 = 450 t-shirts. Adding these together gives a total of 198 (officers) + 450 (ratings) = 648 t-shirts. Therefore, the total number of t-shirts issued is 648.
Explanation:
Each tile covers 25cm, and 27 tiles cover 27 × 25 = 675 cm. Converting 675 cm to meters, we get 675 ÷ 100 = 6.75 meters. So, the length of the room is 6.75 meters.
