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Svetradugi [14.3K]
4 years ago
14

Matthew has three brothers: Alex, Mark, and Luke. The sum of their three ages is 12. List all the different combinations of ages

that Matthew’s brothers could be.
Mathematics
1 answer:
daser333 [38]4 years ago
3 0

Answer:

Step-by-step explanation:

Let Alex's age = x

Mark's age = y

Luke's age = a

x + y + z = 12

The possible combinations for their age are

1. 6, 3, 3

2. 3, 3, 6

3. 4,4, 4

4, 2, 2, 8

5. 8, 2, 2

6. 2, 8, 2

7. 9, 2, 1

Etc the age can keep going as long as you can find any three numbers and add them to give you 12

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Artyom0805 [142]
\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed time}\\
\end{cases}\\\\
-------------------------------\\\\
P(x)=3.113(1.2795)^x\implies \stackrel{A}{P(x)}=\stackrel{I}{3.113}(1+\stackrel{r}{0.2795})^{\stackrel{t}{x}}

usually, the "r" above, is used as a "rate of increase".

but 1+r combined, can be referred as the "rate for the new size".

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5 0
3 years ago
the population of woodstock, Ga is about 23,896 people,and the city encompasses 11.3 square miles. What is the population densit
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The population density of Woodstock is 2114.7 people per square mile

Step-by-step explanation:

Population density is the number of people per square kilometer or per square mile

Given

Number of people = 23896

Area = 11.3 square miles

The population density is given by the formula:

Population\ density=\frac{Number of People}{Area}\\=\frac{23896}{11.3}\\=2114.69=>2114.7\ people\ per\ square\ mile

Hence,

The population density of Woodstock is 2114.7 people per square mile

Keywords: Population density, Area

Learn more about population density at:

  • brainly.com/question/2367554
  • brainly.com/question/2670657

#LearnwithBrainly

8 0
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What is the measure of a single angle of deviation on a regular octagon?
ira [324]

The measure of a single angle of deviation on a regular octagon is 45 degrees.

<h3>Polygons</h3>

An octagon is a shape with 8 sides and 8 angles. The sum of an interior angle of an octagon is 1080 degrees.

<h3>Point of interseection</h3>

The point where the intersection of lines meets forms an angle of 45 degrees. Hence based on the given question, we can conclude that the measure of a single angle of deviation on a regular octagon is 45 degrees.

Learn more on polygons here: brainly.com/question/1487036

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By the trend that is being given above, the population of New Jersey will only be 99.88% of the population from the previous year. It may be calculated through the following equation,
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What is the completely factored form of this polynomial? x4 − 8x2 + 16
Nady [450]

Step-by-step explanation:

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