In the science club, there are 8 sixth graders for every 9 seventh graders. At this year's science fair, there were 23 projects by the sixth graders for every 27 projects by the seventh graders. Is the ratio of sixth graders to seventh graders in the science club equivalent to the ratio of science fair projects by the sixth graders to projects by the seventh graders? *

may i see the picture? it would a lot, xox

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

i think it would be 42cm

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.