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tiny-mole [99]
3 years ago
7

What's proportional reasoning and what does it mean for something to be proportional?

Mathematics
1 answer:
qwelly [4]3 years ago
6 0
Proportional reasoning is the ability to compare two things using information given, in math, it is most frequently defined as comparing quantities. For something to be proportional, there has to a constant ration of another quantity.
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Write an equation for the nth term of the arithmetic sequence. Then find a50.
julia-pushkina [17]

Step-by-step explanation:

Since the sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 1/3

d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6

Substitute the values into the above formula

That's

<h3>A(n) =  \frac{1}{3}  + (n - 1) \frac{1}{6}  \\  =  \frac{1}{ 3}  -  \frac{1}{6}   +  \frac{1}{6} n</h3>

So the nth term of the sequence is

<h3>A(n) =  \frac{1}{6}  +  \frac{1}{6}n</h3>

For a50 since we are finding the 50th term

n = 50

So we have

<h3>A(50) =  \frac{1}{6}  +  \frac{1}{6} (50) \\  =  \frac{1}{6}  +  \frac{25}{3}</h3>

We have the final answer as

<h3>A(50) =  \frac{17}{2}</h3>

Hope this helps you

4 0
3 years ago
Find the value of r r/10=18/30
storchak [24]
R/10 = 18/30
30r = 180
r = 6
The value of r is 6
3 0
3 years ago
Can someone help me with my Algerbraic reasoning class?
lora16 [44]

Answer:

May i ask what the algerbraic question is?

Step-by-step explanation:

5 0
3 years ago
A repairman leans the top of an 26 foot ladder against the
Natalija [7]

Answer:

26.42139285

Step-by-step explanation:

26x26 + 4.7x4.7 = c2

676 + 22.9 =c2

698.09=c2

square root of 698.09=26.42139285

26.42139285 = c

6 0
3 years ago
A rectangles width is one-fourth of its length . its area is 9 square units
Paha777 [63]

Answer:

Length = 6

Width = 3/2

Step-by-step explanation:

You can choose to go about this question in lots of different ways, but this is how i did it. I drew a diagram of the rectangle and labeled it: the height/length as x and the width as x/4 (they told us the width is a quarter of the length). They also told us that the area is 9 square units.

We know that length x width = area

So: length x width = 9

I'm gonna bring in the variables i used in the diagram, so:

x x \frac{x}{4} = 9

Keep solving:

\frac{x^{2} }{4}= 9

Times both sides by 4:

x^{2} = 36

Square root both sides for x:

<em>* remember that when you square root, its possible to have a positive or negative version of the value</em>

x = ±6

Since its impossible to have a negative length, we can say that x = 6.

X was just the variable we gave to the length of the rectangle, so now we know the length is 6. If you needed to find width as well, you can do 6/4, which simplifies to 3/2.

To double-check

- 6 x 3/2 should equal 9, since length x width = area

which it is, so we're correct!

Hope that helped : )

4 0
3 years ago
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