If 2/3x =4/5y =5/6z, what is x : y : z?

HELP PLEASE WILL GIVE BRAINLIEST BUT PLEASE ACTUALLY TRY!!!

30 : 25 : 24

Step-by-step explanation:

Notice the denominators of the fractions:

3 from 2/3x

5 from 4/5y

6 from 5/6z

Let's find their least common multiple (LCM): the LCM(3, 5, 6) = 3 * 5 * 2 = 30

Now, multiply 30 to each term:

30 * (2/3x) = 30 * (4/5y) = 30 * (5/6z)

20x = 24y = 25z

Let's prime factorize each of these terms:

2 * 2 * 5 * x = 2 * 2 * 2 * 3 * y = 5 * 5 * z

In order for these to be equal to each other, we must find numbers to fit the variables x, y, and z that will create a true statement. Notice that we have at most three 2s, one 3, and two 5s.

In order to make the x side have that many of each number, we need to multiply it by 2, 3, and 5. That means x = 2 * 3 * 5 = 30.

In order to make the y side have that many of each number, we need to multiply it by two 5s. That means y = 5 * 5 = 25.

Finally, in order to make the z side have that many of each number, we need to multiply it by three 2s and one 3. That means z = 2 * 2 * 2 * 3 = 24.

Thus, x : y : z = 30 : 25 : 24.

Hope this helps!

30 : 25 : 24

Step-by-step explanation:

2/3x =4/5y =5/6z

Let x = 1

2/3 = (4/5)y

y = 5/6

2/3 = (5/6)z

z = 4/5

x : y : z

1 : 5/6 : 4/5

Multiply by 30 ro remove fractions

30 : 25 : 24

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it