Determine which ratio forms a proportion with 10/6 by using cross products (please help)
Idk, i hope to b smart one day tho
Ikr lol
No one has answeres?
I REALLY NEED HELPPP😪
It's D. (30/18)
:)
Oh, cross products, huh? Sounds like we're about to do some math acrobatics! Let's dive in and find the ratio that forms a proportion with 10/6.
To find the proportion, we'll use the cross products method. We'll have two ratios: one is 10/6, and the other is, well, let's call it x/y. The cross products are obtained by multiplying the numerators across and multiplying the denominators across.
So, we'll have 10 * y = 6 * x. This equation represents the cross products.
Now, to find the ratio that forms a proportion, we need to solve this equation. But let me tell you a secret, it might get a little hairy, so hold on tight!
If you simplify the equation, you get 10y = 6x. We can divide this by 2 to make things simpler. So, we have 5y = 3x.
Now, any ratio that makes 5y = 3x true will form a proportion with 10/6. We don't know for sure what values x and y will be, but we can let x = 5 and y = 3, or x = 10 and y = 6, or x = 15 and y = 9, or...well, you get the idea! As long as the ratio stays consistent, it will form a proportion with 10/6.
So, the ratio that forms a proportion with 10/6 using cross products can be any pair of numbers where 5y = 3x. Now, go forth and mathematically acrobatize!
To determine which ratio forms a proportion with 10/6 using cross products, you need to follow these steps:
Step 1: Write the given ratio in the form of a fraction.
The given ratio is 10/6.
Step 2: Assign variables to the two ratios you are comparing.
Let's assign variables to the two ratios:
The unknown ratio is x/y.
Step 3: Set up the equation using cross products.
In a proportion, the product of the means (the middle numbers) is equal to the product of the extremes (the outer numbers). This can be written as:
10/6 = x/y
Cross multiplying means multiplying the numerator of one fraction by the denominator of the other fraction. In this case, cross multiplying gives:
10 * y = 6 * x
Step 4: Simplify the equation.
Now you have:
10y = 6x
Step 5: Solve for the unknown variable.
To find the ratio that forms a proportion with 10/6, you need to solve the equation for either x or y, depending on what you are looking for. Let's solve it for x:
Divide both sides of the equation by 6:
10y/6 = x
Simplify it further:
5y/3 = x
So, the ratio that forms a proportion with 10/6 using cross products is x/y = 5y/3.