The quantities xxx and yyy are proportional.

xxx yyy

888 1.61.61, point, 6

151515 333

222222 4.44.44, point, 4

Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.

r=0.2

Step-by-step explanation:

Given the quantities x and y

When x=8, y=1.6

On Substitution into y=rx

1.6=8r

r=1.6/8=0.2

When x=15, y=3

On Substitution into y=rx

3=15r

r=3/15=0.2

When x=2, y=0.4

On Substitution into y=rx

0.4=2r

r=0.4/2=0.2

Therefore, the constant of proportionality, r=0.2

NOTE: One set of values is enough to determine this. Others are done for verification.

bn,mn,n.vn.

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3