How do you calculate the ratio of two numbers?
Just divide the larger number by the smaller number and report and the answer as 1: something.Example: Suppose you want the ratio of 750 to 225. So write it as 750:225 ::x:1.How to find x: The product of the ends = the product of the means, So1*750 = 225*x orx = 750/225 = 3.33333. So we report the ratio750:225 as 3.33333:1.Since reporting the ratio as 3.33333:1 is inconvenient, multiply both terms by 3 to get 10:3.Now you report the ratio of 750:225 as 10:3.Another example: Suppose you want the ratio of 340 to 985. So write it as 340:985::1:m. As before340m = 985, or m = 985/340 = 2.897058824. Since there is no way of representing 2.897058824 by any other means in a convenient form you just round off the value and report the ratio as340:985::1:2.9
The 3 numbers are in the ratio of 3:4:5. If the smaller number is 27. What are the two numbers?
3:4:5 ~ratioHere is a little trick I learnt in school,3+4+5= 12Therefore 3:4:5 = 3/12, 4/12, 5/123/12 of x= 27x= 108Therefore,4/12 of 108= 365/12 of 108= 45So the numbers are,27:36:45Hope you found this informative:)Arsheya
Two numbers are in a ratio of 1:5. if their sum is 30, find the numbers?
X + 5X = 30 6X = 30 X = 5 Your numbers are 5 and 25.
Find two numbers if their ratio is 9:11 and their difference is 6?
27 and 33.I’m going to offer two approaches to solving this problem.The first one is probably the most elegant solution because it requires the fewest number of steps and also keeps us working within the lowest possible values.We find the current difference (in absolute value) between the given ratio of 9 and 11.11 - 9 = 2Now we divide the desired difference (6) by the current difference (2)6/2 = 3Now we multiply this result by the ratio’s antecedent (9) and her consequent (11) to arrive at the answer:3 x 9 = 273 x 11 = 33The second approach begins by multiplying both sides of 9:11 by 6 to arrive at 54:66.9 x 6 = 5411 x 6 = 66Next we find the difference between antecedent and the consequent.66 - 54 = 12Now divide the resulting difference (12) by the desired difference (6 ).12/6 = 2Note that the resulting difference (12) is over our desired distance by a factor of two.This means we need to reduce by half how much we multiply both 9 and 11.6/2 = 3Now we multiply both 9 and 11 by 3 (not 6) to arrive at the correct answer.9 x 3 = 2711 x 3 = 33Or we can divide both 54 and 66 by two.54 / 2 = 2766 / 2 = 33It always pays to double-check your answer. Since we are looking for the difference separating the numbers we are not too concerned whether it’s in the positive or negative direction. Therefore we may subtract the larger term from the other.33 - 27 = 6Done!
Two numbers are in the ratio of 10:7. If the sum is 34, what is the smallest number?
14 + 20 = 34. The smaller number is 30.Algebraically, the ratio of 10:7 can be expressed as 10x:7x. So:7x + 10x = 3417x = 34x = 27(2)=14 and 10(2)=20Any 10:7 ratio that you use will yield the same result. Let the ratio be represented as 40:28.40x + 28x = 3468x = 34x = 1/240(1/2)=20 and 28(1/2)=14Any way you figure it, the answer is 14.
Two numbers are in the ratio 3:4. If 6 is added to each term of the ratio, there is an increase of 20% in the given ratio. What are the first and second number?
Dear Aurang,This is an obvious homework task.I don’t mind helping someone with those, but they should at least explain what it is that they don’t understand.To prevent you to copy - paste the answer, I HAVE DELIBERATELY INSERTED AN ERROR IN THE CALCULATIONS. The result is still correct.x/y = 3/4 → 4x = 3y → 4x - 3y = 0 (1)(x + 6)/(y + 6) = (3/4)*1,2 → (x + 6)*4 = (y + 6)*3,6 → 4x + 24 = 3,6y + 21,4 →→ 4x - 3,6y = -2,4 (2)By (1) - (2) we get:0,5y = 2,4 → y = 4 and therefore x = 3Check:(3 +6)/(4 + 6) = 9/10 = 0,9(3/4)*1,2 = 0,75*1,2 = 0,9
The ratio of two numbers is 3:7. If their sum is 120, what is the smaller number?
One of the easiest solution could beSince the ratio given is 3:7.Therefore let the numbers be 3x and 7x.Sum=1203x+7x=12010x=120x=12So first number=3x=3×12=36.Second number=7x=7×12=84.Thus the smaller number is 36.
The ratio of two numbers is 7:10 and their difference is 105. What are the numbers?
Let the two numbers are 7x and 10x.As per the problem,The difference 10x-7x = 1053x = 105x = 35.So one number is 7x = 7× 35 = 245And the another number = 10x = 10×35 = 350
Could anyone kindly explain to me what trigonometric domain intervals are used for? It's hard for me to intuitively grasp which makes me memorize formulas and I really need to understand what they are?
Yes, I’d be happy to explain: If you’d like to keep it simple -The sin(x) and cos(x) have domain intervals of 0 to 2pi.The tan(x) and the sec(x), because they are not defined at x = (-pi/2) nor x =(pi/2), and because they are continuous from -pi/2 < x < pi/2, have domain intervals from -pi/2 to pi/2.The cot(x) and csc(x), because they are not defined at x = 0 nor x = pi, and because they are continuous from 0 < x < pi, have domain intervals from 0 to pi.