One number is 6 more than another number. If the larger number is increased by twice the smaller number, the result is 30. What are the two numbers? [has to be done algebraically with the proper LET statement

smaller number is 6 and larger number is 12.

Step-by-step explanation:

Let the one number is y.

The another number is y + 6.

2 (y + 6) + y = 30

2 y + 12 + y = 30

3 y = 30 - 12

3 y = 18

y = 6

So, the smaller number is 6 and the larger number if 6 + 6 = 12 .  

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

3 1/3 x 2 3/5 = 8 2/3

step-by-step explanation:

just multiply the first number by the second number to get your answer.