In a sports poll, 53% of those surveyed believe their high school football team will win the state championship. the poll shows a margin of error of 0.5 percentage points. write and solve an absolute value inequality to find the least and the greatest percent of people that think their team will win the state championship.

See Below

Step-by-step explanation:

Let total number of people be "n"

Since 53% believe their high school, that would be  "0.53n"

Since 0.5% fall in error margin, that would be ± 0.005n

Hence,

Greatest number of people would be:

That is 53.5% of people

and

Least nnumber of people would be:

That is 52.5% of people

Thus, the absolute value equation would be:

0.525n ≤ absolute number of people who think their team will win ≤ 0.535n

Where "n" is the total number of spectators

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

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step-by-step explanation: