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Korvikt [17]
3 years ago
15

40% of the people attending the movie were adults if 20 adults attended the movie then how many people attended the movie (use a

ratio box)
Mathematics
1 answer:
podryga [215]3 years ago
6 0

Answer:

50

Step-by-step explanation:

Let x represent the number of people that attended the movie.

And y the number of adults that attended the movie

Given;

Percent of adults that attended the movie = 40%

Number of adults that attended the movie y = 20

So,

40% of those that attended the movie area adults.

y = 40% of x

y = 40/100 × x

y = 0.4x

(Ratio of y to x is 4:10 or 0.4)

Making x the subject of formula;

x = y/0.4

Substituting the value of y given;

x = 20/0.4

x = 50

Therefore, 50 people attended the movie.

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The potential solutions of log_4x+log_4(x+6)=2 are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

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The exercise asks the potential solutions for  log_4x+log_4(x+6)=2. In this expression you can apply the Product Rule for Logarithms.

                                  log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0

Now you should solve the quadratic equation.

 

 Δ=b^2-4ac=36-4*1*(-16)=36+64=100. Thus, x will be x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}. Then:

x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8

The potential solutions  are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

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