In a recent year, 4 out of 5 movies cost between $50 and $99 million to make. at this rate, how many movies in a year with 512 releases would you predict to cost between $50 and $99 million to make

Step-by-step explanation:

In a recent year, 4 out of 5 movies cost between $50 and $99 million to make. It means that the probability that the cost of making a movie will be between $50 and $99 million is 4/5. This is the probability of success. The expected number of movies from a total of 512 releases in a year that would cost between $50 and $99 million would be the product of the probability of success and the number of movies. It becomes

4/5 × 512 = 409.6

Approximately 410 movies

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