the sum of two numbers, one of which is three-quarters of the other, is 49. find the product of the numbers.

588

Step-by-step explanation:

One number is x.

The other number is 3x/4.

Their sum is 49.

x + 3/4x = 49

4x/4 + 3x/4 = 49

7x/4 = 49

x/4 = 7

x = 28

One number, x. is 28.

The other number, 3x/4, is 3/4 × 28 = 21

The product of the number is 28 × 21 = 588

Step-by-step explanation:

the sum of both numbers is 49

one of the numbers is 3/4 of the other

trial and improvement

3*6=18

4*6=24

24+18=40    too small

3*7=21

4*7=28

28+21=49

21*28=588

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

i believe the answer is letter c) 8

step-by-step explanation: