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3 years ago

Compare the fractions. Use <, =, or >. 1/3 ? 4/6

Mathematics

1 answer:

zloy xaker [14]3 years ago

8 0

1/3 vs 4/6

get a common denominator of 6

1/3 * 2/2 vs 4/6

2/6 vs 4/6

2/6 < 4/6

so 1/3 < 4/6

Answer <

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What is the 38th term of 459,450,441,..

galina1969 [7]

Answer:

The 38th term of 459,450,441,.. will be:

$a_{13}=351$

Step-by-step explanation:

Given the sequence

$459,450,441,..$

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

computing the differences of all the adjacent terms

$450-459=-9,\:\quad \:441-450=-9$

$d=-9$

The first element of the sequence is

$a_1=459$

so the nth term will be

$a_n=-9\left(n-1\right)+459$

$a_n=-9n+468$

Putting n=38 to find the 38th term

$a_n=-9n+468$

$a_{13}=-9\left(13\right)+468$

$a_{13}=-117+468$

$a_{13}=351$

Therefore, the 38th term of 459,450,441,.. will be:

$a_{13}=351$

3 0

3 years ago

Can anyone help me on #3?? And explain?

Alekssandra [29.7K]

Since we know the polygons are similar, the side length ratio of each side must be equal.
13/5 = x/10
Multiply both sides by 10
x = 26
That's your answer. Have a nice day! :)

7 0

4 years ago

Does the question have no solution, one solution, or a infinite number of solutions?

Rus_ich [418]

Answer:

No solution

Step-by-step explanation:

I used this online calculator to find the answer. It shows the steps and everything. https://www.symbolab.com/solver?or=gms&query=2x%2B3y%3D62x%2B3y%3D7

4 0

3 years ago

Read 2 more answers

A ticketholder on the merry-go-round is riding a horse that is at a radius of 12 feet. How far does she travel after the merry-g

OLEGan [10]

The correct value of the angle of rotation is 3π/5

Answer:

Distance travelled ≈ 22.6 ft

Step-by-step explanation:

We are given;

Radius;r = 12 ft

Angle of rotation; θ = 3π/5

The formula for calculating distance travelled is;

Distance travelled = rθ

So, plugging in the relevant values;

Distance travelled = 12 x 3π/5

Distance travelled ≈ 22.6 ft

3 0

3 years ago

Need this very badly

Gnom [1K]

Answer:

Step-by-step explanation:

Wrapping paper is covering the box, aka the area, therefore it is the surface area.

6 0

3 years ago