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klemol [59]
3 years ago
12

Jon’s Summer baseball league has 36 thirteen -year-olds and 48 fourteen year-olds. Write the ratio of 13-year-olds to 14-year-ol

ds in all three forms.
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

These are the forms to write the ratio. Please read the explanation.

<u>a. 3/4</u>

<u>b. 3:4</u>

<u>c. 3 ÷ 4</u>

<u>d. Ratio of 3 to 4</u>

Step-by-step explanation:

1. Let's check the information given to resolve the question:

Number of 13-year olds = 36

Number of 14-year olds = 48

2. Writing the ratio of 13-year-olds to 14-year olds in all three forms:

We can say that there are:

36/48 13-year olds to 14-year olds but we notice immediately that we can simplify that ratio this way:

36/48 = 18/24 (Dividing by 2) = 9/12 (Dividing by 2 again) = 3/4 (Dividing by 3)

We can conclude that the ratio of 13-year-olds to 14-year olds is 3/4 and we can write it these ways:

<u>a. 3/4</u>

<u>b. 3:4</u>

<u>c. 3 ÷ 4</u>

<u>d. Ratio of 3 to 4</u>

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Answer:

23 years.

Step-by-step explanation:

It is given that the initial price of painting is $150 and its values increasing by 3% annually.

We need to find how many years will it take until it is doubled in value.

The value of painting after t years is given by

y=150(1+0.03)^t

y=150(1.03)^t

The value of painting after double is 300. Substitute y=300.

300=150(1.03)^t

Divide both sides by 150.

2=(1.03)^t

Taking log both sides.

\log 2=\log (1.03)^t

\log 2=t\log (1.03)

t=\dfrac{\log 2}{\log (1.03)}

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3 years ago
The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. (a) Estimate how l
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Answer:

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Step-by-step explanation:

If the rate of population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year, increase in yearly population = 1.1/100 × 7,100,000,000

= 1.1 × 71,000,000

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The amount increases by 78.1million every year.

To know how long it will take the population to double.

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Time it will take for the population to double = 7,100,000,000/78,100,000

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This means it will take about 90.91years for the population to double

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