Maliya divides a number line from 0 to 1 into 6 equal lengths. What unit fraction represents each equal length? What should Maliya label the tick mark just to the left of 1? Explain.

1/6 and 5/6

Step-by-step explanation:

If we divide in 6 equal lengths from 0 to 1 we will have 6 equal lines with unit fraction equal to 1/6, because if we add this value 6 times we will get 1.

The tick just to the left of 1, meas add 1/6 five times, it means take the 5th length to the 6 length:

1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 5/6

Therefore Maliya should label 5/6 the tick mark just to the left of 1.

I hope it helps you!

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

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.