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3 years ago

Choose the set of equivalent fractions that correctly uses the LCD for these fractions 3/4 and 1/6

Mathematics

1 answer:

valina [46]3 years ago

6 0

Answer: 9/12, 2/12

Step-by-step explanation:

Start by writing multiples of 6 and 4

4: 4, 8, 12

6: 6, 12, 18

Did you see the multiple that both numbers have? Yup, it's 12. So that has to be your denominator for both fractions. This is because you have to have the <u>LEAST</u> COMMON Denominator (LCD). So both numbers have 12 in common as one of their multiples and, it's the least common one because there are no numbers that come before it that are common for both numbers. Now, you just have to change the denominators of both fractions into 12. To do that to 3/4, just multiply the top and bottom by 3 to get 9/12. To do that to 1/6, just multiply the top and bottom by 2 to get 2/12. Hope this helps!

NOTE: REMEBER THAT WHATEVER YOU DO TO THE TOP OF A FRACTION, YOU HAVE TO DO IT TO THE BOTTOM TOO (AND VICE VERSA)

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Question1) Describe three scenarios that involve a real-world linear or exponential function. At least one must be exponential.

elixir [45]

Answer:

1) Let's suppose that you go in a straight line, in a car that moves at a constant speed of 80km/h.

Then the distance from your house (assuming that you start the drive in your house) can be modeled with a linear equation:

D(t) = 80km/h*t

where t is time in hours.

This will be a linear function.

2) Suppose that you have a population of some animal, that grows by 2% each month, and initially, there are 100 individuals of that animal.

Then the first month, the population is 100.

The second month the population increased by a 2%, then it will be:

100 + 100*0.02 = 100*(1.02)

The third month, the population will be 100*(1.02) + 0.2*100*(1.02) = 100*(1.02)^2.

and so on, this is an exponential relation, where the population as a function of the number of months, can be written as:

P(m) = 100*(1.02)^(m - 1)

3) Suppose that you have $100 saved, and each month you can save another $80, let's find a function that says the amount of money that you have saved as a function of the number of months. S(m)

The month number zero (before you started saving) you had $100 saved.

S(0) = $100.

One month after, you have saved $80 more, then you have:

S(1) = $100 + $80

Another month after, you have:

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And so on, you already can see the pattern, after m months, you will have:

S(m) = $100 + m*$80 saved.

5 0

2 years ago

Approximately 14 percent of the population of Arizona is 65 years or older. A random sample of five persons from this population

Andreas93 [3]

Answer:

A)0.8533

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are 65 or older, or they are not. The probability of a person being 65 or older is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

14 percent of the population of Arizona is 65 years or older.

This means that $p = 0.14$

A random sample of five persons from this population is taken.

This means that $n = 5$

The probability that less than 2 of the 5 are 65 years or older is :

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.14)^{0}.(0.86)^{5} = 0.4704$

$P(X = 1) = C_{5,1}.(0.14)^{1}.(0.86)^{4} = 0.3829$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.4704 + 0.3829 = 0.8533$

So the correct answer is:

A)0.8533

3 0

3 years ago

A flyer is spread by people

Vikki [24]

Answer:

A flyer is spread by people at a large conference. Within one hour, the first person gives a stack of - Brainly.in Find an answer to your question A flyer is spread by people at a large conference. Within one hour, the first person gives a stack of flyers to six people. there you go buuuuuudy

Step-by-step explanation:

7 0

3 years ago

The price of tickets for the dance was 1 ticket for $6 or 2 tickets for $8 she looked inside the cash box and found $200 and tic

Aleks04 [339]

We can say that exchanging one couple's ticket for an individual's ticket would increase the money in the cash box from 200 to 202 and it would result in an even number of couples tickets sold.

<u>Step-by-step explanation:</u>

Let the number of tickets sold to the individuals = s

Let the number of tickets sold to the couples = c

According to the question,

s + c = 46 ( Equation 1)

Since each individual's ticket is $6, the total amount of money made by selling tickets to individuals is 6s.

Similarly, since each ticket sold to couples is $8, the total amount of money made by selling tickets to couples is 8c.

So,

6 s + 8 c = 200 ( Equation 2)

On solving both the equations, we get

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Therefore, 8 tickets were sold to individuals and 38 tickets were sold to the couples.

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3 years ago

What is the surface area of the net of this 3-dimensional figure?

zhenek [66]

Answer:

3 multiply by 6 multiply by 5

= 90 cm²

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2 years ago

Read 2 more answers