MATHEMATICS MIDDLE SCHOOL

George spins a spinner 108 times. The spinner lands on a green section 9 times. What is the best estimate of the probability that a spin will land on green? Explain pargraph please

Answers

Answer 1

Answer:

1/12

Step-by-step explanation:

Probability is chance of occurrence.

It is observed that out of 108 trials, there were 9 successes i.e 9 times landing on the green section.

P(green) = 9/108

= 1/12

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Tim sold half of his comics collection and then bought 16 more. If he now has 36, how many did he begin with?

Answers

Tim began with 40 comics

Further explanation:

The equation involve linear equation as there is only one object i.e. comic books

So,

Let x be the number of comic books Tim began with

Then after selling half comics Tim will have x/2 comics remaining

Now when he buys 16 more the expression will be:

$(x)/(2)+16$

He has total 36 books, then

$(x)/(2)+16= 36$

Subtracting 16 from both sides

$(x)/(2)+16-16= 36-16$

${(x)/(2)}= 20\n$

Multiplying 2 on both sides

${(x)/(2)}* 2= 20*2\nx=40$

We can recheck, if he had 40, half of them will be 20 and adding 16 makes them 36.

Tim began with 40 comics

Keywords: Equation in one variable, linear equations

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Last year Brian opened an investment account with $5800. At the end of the year, the amount in the account decreased by 28.5%. How much is this decreased in dollars? How much money was in his account at the end of last year

Answers

Answer:

It decreased by 1653$ and he ended up with 4147$

Final answer:

The amount decreased in dollars is $1653 and the amount of money in Brian's account at the end of last year was $4147.

Explanation:

To calculate the amount of money decreased in Brian's investment account, we need to multiply the initial amount of $5800 by the decrease percentage of 28.5%, expressed as a decimal (0.285). 5800 * 0.285 = $1653. This represents the amount decreased in dollars. To find the amount of money in his account at the end of last year, we need to subtract the decrease from the initial amount: 5800 - 1653 = $4147.