Select the decimal that is greater than 1/3 and smaller than 1/2. A 0.299 B 0.300 c. 0.415 d 0.501

C, 0.415

Step-by-step explanation:

Convert the fractions to decimals:

1/3 = 0.3333333...

1/2 = 0.5

So the decimal must be greater than 0.3333333... and smaller than 0.5,

from the options,

only 0.415 matches with the requirements.

c.415

Step-by-step explanation:

1/3 = 0.333333...

1=2 = 0.5

Therefore the "c option - 0.415" as it is greater than 1/3 and lesser than 1/2

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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