Find the ratio of x to y:
1.4x=5y
2.mx=ny
3.xa+xb=yc+yd
Please help me. Thanks!!! :) :)
You just want to find x/y. I'll do #3, as the first two are trivial.
xa+xb = yc+yd
x(a+b) = y(c+d)
x/y = (c+d)/(a+b)
Oh, it's ratio time! Let's dive into some numbers:
1. 1.4x = 5y
To find the ratio of x to y, we should isolate x on one side of the equation. Divide both sides by 1.4:
x = 5y/1.4
The ratio of x to y is x:y = 5/1.4
Simplifying, x:y = 25/7
2. mx = ny
The ratio of x to y here is x:y = m/n. That's it!
3. xa + xb = yc + yd
Since this equation involves more variables than just x and y, we can't determine a simple ratio between x and y here. Let's focus on equations 1 and 2 for ratios.
Hope that helps! If you have any other questions, feel free to ask! :)
1. To find the ratio of x to y in the equation 1.4x=5y, we can divide both sides of the equation by y:
1.4x/y = 5y/y
1.4x/y = 5
Therefore, the ratio of x to y is 1.4:5 or 7:25.
2. To find the ratio of x to y in the equation mx=ny, we can divide both sides of the equation by y:
mx/y = ny/y
mx/y = n
Therefore, the ratio of x to y is m:n.
3. In the equation xa+xb=yc+yd, we cannot directly determine the exact ratio of x to y without knowing the values of a, b, c, and d. Since there are multiple terms on both sides of the equation involving both x and y, we need additional information to simplify the equation and find the ratio.
Of course! Let's go through each equation one by one to find the ratio of x to y.
1. 1.4x = 5y
To find the ratio of x to y, we need to isolate x and y on different sides of the equation.
Divide both sides of the equation by 1.4:
(1.4x) / 1.4 = (5y) / 1.4
x = (5/1.4)y
Now we can express the ratio of x to y as (x/y):
x/y = (5/1.4)y / y
x/y = 5/1.4
The ratio of x to y is 5/1.4, or approximately 3.57:1.
2. mx = ny
Similar to the previous equation, we need to isolate x and y on different sides of the equation.
Divide both sides by m:
(mx) / m = (ny) / m
x = (n/m)y
Now we can express the ratio of x to y as (x/y):
x/y = (n/m)y / y
x/y = n/m
The ratio of x to y is n/m.
3. xa + xb = yc + yd
To find the ratio of x to y in this equation, we need to express x and y separately.
Factor out x from both terms on the left side:
x(a + b) = yc + yd
Divide both sides by (a + b):
x = (yc + yd) / (a + b)
Now we have x in terms of y:
x/y = [(yc + yd) / (a + b)] / y
x/y = (yc + yd) / (y(a + b))
x/y = (c + d) / (a + b)
The ratio of x to y is (c + d) / (a + b).
I hope this helps! Let me know if you have any further questions. :)