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3 years ago

600/480 as a fraction in m/n form

Mathematics

1 answer:

Julli [10]3 years ago

8 0

Answer:gcd is of 600 is 120 600÷120 and 480 ÷120 reduced fraction 5/4

Step-by-step explanation:

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The ratio of the volumes of two similar circular cylinders is 27:64. What is the ratio of the

egoroff_w [7]

The ratio of their bases = 3√3 : 8

Step-by-step explanation:

Given,

The ratio of the volume of two cylinders is 27:64.

To find the ratio of the diameters of the cylinders of their base.

Formula

Let, the radius and height of a cylinder is r and h. The volume of the cylinder V = πr²h

Let,

Radius of cylinder 1 is R and the radius of the cylinder 2 is r.

The height of the both cylinder is h.

According to the problem,

πR²h= 27a and πr²h= 64a

So,

πR²h : πr²h = 27a:64a

or, R²:r² = 27:64

or, R:r = 3√3 : 8

Hence,

The ratio of their bases = 3√3 : 8

6 0

3 years ago

Identify the following sequences as arithmetic, geometric, or neither. For the arithmetic and geometric sequences, identify the

Lapatulllka [165]

Hence,

a. 12, 144, 1728,.. => Geometric

b. 0,5, 10, 15, 20, 25,... => Arithmetic

c. 0,4, 16, 36, 64,... => Neither arithmetic nor geometric

d. 1.5, 2.25, 3.375, 5.0625,... => Geometric

Step-by-step explanation:

In order to identify the sequence as geometric or arithmetic sequence, we find the common difference and common ratio of the sequence. If the common difference is same, it is an arithmetic sequence and if the common ratio is same the sequence is a geometric sequence

Common difference is the difference between consecutive terms of an arithmetic sequence and common ration is the ratio between two consecutive terms of a sequence

So,

Here,

$a_1=12\\a_2=144\\a_2=1728$

Common difference:

$d=a_2-a_1 = 144-12 = 132\\=a_3-a_2 = 1728-144=1584$

Common Ratio:

$r=\frac{a_2}{a_1} =\frac{144}{12} = 12\\=\frac{a_3}{a_2}=\frac{1728}{144} =12$

As the common ratio is same, the given sequence is a geometric sequence.

<u></u>

Here,

$a_1 = 0\\a_2 =5\\a_3 =10$

Common difference:

$d=a_2-a_1 = 5-0 = 5\\d=a_3-a_2 = 10-5 = 5$

As the common difference is same, the given sequence is an arithmetic sequence

<u></u>

Here

$a_1 = 0\\a_2 =4\\a_3 = 16\\a_4 = 36$

Common Difference:

$d= a_2-a_1 = 4-0 = 4\\a_3-a_2 = 16-4 = 12$

<u></u>

Common Ratio:

$r=\frac{a_2}{a_1} = \frac{4}{0} = Doesn't\ exist$

Neither the common ratio nor common difference are same, so the given sequence is neither arithmetic nor geometric

Here

$a_1 = 1.5\\a_2 = 2.25\\a_3 = 3.375$

<u></u>

Common Difference:

$d=a_2-a_1 = 2.25-1.5 = 0.75\\a_3-a_2 =3.375-2.25 = 1.125[/tex]Common Ratio: [tex]r=\frac{a_2}{a_1} = \frac{2.25}{1.5}=1.5\\=\frac{a_3}{a_2} =\frac{3.375}{2.25}=1.5$

As the common ratio is same, given sequence is geometric

Hence,

a. 12, 144, 1728,.. => Geometric

b. 0,5, 10, 15, 20, 25,... => Arithmetic

c. 0,4, 16, 36, 64,... => Neither arithmetic nor geometric

d. 1.5, 2.25, 3.375, 5.0625,... => Geometric

<u>Keywords: Sequence, Ratio</u>

<u>Learn more about sequences at:</u>

#LearnwithBrainly

4 0

3 years ago

Solve : x + 1/2 + x + 2/3 − x + 3/4 = 2

valentinak56 [21]

Answer:

x= 1 7/12

Step-by-step explanation:

x+1/2+x+2/3-x+3/4=2

1. We know that x+x-x=x

2. 1/2+2/3-3/4=6/12+8/12-9/12=5/12

3. x+5/12=2

4. x=2-5/12

x=1 7/12

8 0

3 years ago

Read 2 more answers

A customer buy's 5 books at a bookstore for a total cost of 65$. If all the books cost the same amount, how much does 1 book cos

Gnesinka [82]

Answer: each book costs $13

Step-by-step explanation:

dividing 65 by 5 gets the answer

3 0

3 years ago

Read 2 more answers

Write 1.0315x10^6 in standard form

lapo4ka [179]

<h3>1.0315×10⁶= 1.0315×1000000</h3><h3> = 1031500</h3><h3 /><h3>it is the standard form</h3><h3>1000000+000000+30000+1000+500+00+0</h3>

please mark this answer as brainlist

5 0

3 years ago