Question: the registration equation Y= -0.414 X + 106.55 approximates the percent of people in the audience who finished watching a documentary, Y, given the length of the film in minutes, X. Which percent is the best prediction for the percent of people in the audience who will finish watching the documentary that is 85 minutes long?

B. 71%

Explanation:

From the question, we are given the registartion equation expressed as;

Y= -0.414 X + 106.55 where;

Y is the percent of people in the audience who finished watching a documentary

X is the length of the film in minutes

According to the question we are to find Y when X = 85 minutes

Substitute X = 85 into the expression and get Y as shown;

Y = -0.414(85) + 106.55

Y = -35.19 + 106.55

Y = 71.8

Hence the best prediction for the percentage of people in the audience who will finish watching the documentary that is 85 minutes long is 71%.

c

c

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c

c

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c

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