Percentage = (Number of eggs used / Total number of eggs) * 100
= (8 / 64) * 100
= 0.125 * 100
= 12.5%
Let's denote the original length and width of the rectangle as L and W, respectively.
The original perimeter is:
2L + 2W = 34
If we increase the length by 2 cm, the new perimeter will be:
2(L + 2) + 2W
= 2L + 4 + 2W
The difference in perimeter is:
(2L + 4 + 2W) - (2L + 2W)
= 4
Let's calculate the final selling price after two successive discounts of 10% and 5% on the marked price of Rs. 2000.
Step 1:
First discount = 10% of 2000 = 0.10 × 2000 = Rs. 200
Price after first discount = 2000 - 200 = Rs. 1800
Step 2:
Second discount = 5% of 1800 = 0.05 × 1800 = Rs. 90
Price after second discount = 1800 - 90 = Rs. 1710
Final selling price = Rs. 1710
Faisal gave 1/3 of his salary to his mother, which is 21,000 × 1/3 = Rs. 7,000.
The remaining salary after giving to his mother is 21,000 - 7,000 = Rs. 14,000.
He spent 2/5 of the remaining amount: 14,000 × 2/5 = Rs. 5,600.
√2304 = √(48²) = 48
Half of the chord is 8/2 = 4 cm, and distance from the center is 3 cm, forming a right triangle.
Use Pythagoras: radius² = 3² + 4² = 9 + 16 = 25 ⇒ radius = 5 cm, so diameter = 2 × 5 = 10 cm.
To find the new quantity of cupcakes, let's calculate based on the given ratio of 7:6.
Initial quantity = 360 cupcakes
Ratio increase = 7:6
New quantity = 360 × (7/6) = 420 cupcakes
The decimal 0.363636... repeats without ending, so it's non-terminating and recurring.
It cannot be a terminating decimal since it doesn’t end.
It is a rational number but not a linear or quadratic fraction in this context.
If a² + b² = c², this follows the Pythagorean Theorem, which applies only to right-angled triangles.
Therefore, the triangle is a Right triangle, where c is the hypotenuse.
Given that 12 men can water the field in 9 hours, we can calculate the total man-hours required:
Total man-hours = 12 men * 9 hours = 108 man-hours
If the same field needs to be watered in 4 hours, let's denote the number of men required as x:
x men * 4 hours = 108 man-hours
x = 108 / 4
x = 27
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