How do I calculate volume

Given:

Two numbers are 12 and 21

To find:

The factors of 12 and 21, then find the common factor and the greatest common factor.

Solution:

Two numbers are 12 and 21. The prime factors of these two numbers are

[tex]12=2\times 2\times 3[/tex]

[tex]21=3\times 7[/tex]

From the above factorization, it is clear that the factor 3 is common in both. So,

Common factor (CF) = 3

Only 3 is common in factorization of both. So,

Greatest common factor (GCF) = 3

Therefore, the common factor is 3 and the greatest common factor is also 3.

The difference of 5/6 - 5/12 is 5/12..

A fraction consisting of a quotient and a remainder is a mixed fraction. we can convert the mixed fraction to an improper fraction by first dividing the numerator by the denominator and then taking the quotient as whole number and the remainder as the numerator of the proper fraction keeping the denominator same.

In this question, we need to apply real algebra properties to find the result of a basic operation between two fractions, whose procedure is shown below:

Given

5/6 - 5/12

Now multiply by 2 in fraction 5/6

10/12 - 5/12

5/12

The difference is 5/12.

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Answer:

Zero's

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(6√5)²+x²=14²

36(5)+x²=196

180+x²=196

x²=196-180

x²=16

x=√16

x=4

Answer:

Usually reactions speed up with increasing temperature. Physical state of reactants. Powders react faster than blocks - greater surface area and since the reaction occurs at the surface we get a faster rate. The presence (and concentration/physical form) of a catalyst (or inhibitor).

Step-by-step explanation:

Answer:

If the ratio is 5 to 4, then there are 5 men in a group of 9 people. 63/9 is 7, so you have 7 groups of 9 people

There would be 465 females sorry if I am wrong I am really tired.

Answer:

4 : 1

Step-by-step explanation:

1 hour : 15 minutes

However we cannot write like this since they aren't of the same unit, so you can either change the minutes to hour by dividing it with 60 or change the hours to minutes by multiplying it with 60.  

1 hour = 60 minutes

60 : 15

The ratio can be simplified.

12 : 3  ( 60 and 15 are multiples of 5 )

The ratio can again be simplified further.

 4 : 1   ( 12 and 3 are multiples of 2 )

Answer:

x = 15

m∡A = 89°

m∡B = 53°

Step-by-step explanation:

this shape is a kite and opposite angles (where sides of different lengths meet) are congruent

so ∡B = ∡D

109 + 109 + 5x + 14 + 3x + 8 = 360

218 + 8x + 22 = 360

8x = 120

x = 15

m∡A = 5(15) + 14 = 89°

m∡C = 3(15) + 8 = 53°

Answer: You are correct.

Step-by-step explanation: If you changed the amount of seats then it would effect the amount of tickets sold

Answer:

x > 9

Step-by-step explanation:

6x + 9 < 7x .    

-6x         -6x             <---- Subtract 6x from both sides.

       9 < x                <----- 7x - 6x = 1x (which can also be written as just x)

Therefore the answer is x > 9.

Answer:

I. The width is 43.5 inches.

II. The length is 24.5 inches.

Step-by-step explanation:

Let the length and width of the rectangle be L & W respectively.

Given the following data;

Perimeter of rectangle = 136 inches

Translating the word problem into an algebraic expression, we have;

L = W - 19 ......equation 1

Perimeter of rectangle = 2(L + W) ......equation 2

To find the dimensions of the rectangle;

136 = 2(L + W)

Substituting eqn 1 into eqn 2, we have;

136 = 2(W - 19 + W)

136 = 2(2W - 19)

136 = 4W - 38

4W = 136 + 38

4W = 174

W = 174/4

W = 43.5 inches

To find the length;

L = W - 19

L = 43.5 - 19

L = 24.5 inches

Answer:

5i+10-9=17-i

6i=16

I=16/6

I=8/3

Answer:

One and Four

Step-by-step explanation:

Answer:

choices 1, 3, & 4 are true, 2 is not

Step-by-step explanation:

Answer:

The answer is x > 32.

Step-by-step explanation:

1) Subtract 12 from both sides.

[tex] \frac{x}{4} > 20 - 12[/tex]

2) Simplify 20 - 12 to 8.

[tex] \frac{x}{4} > 8[/tex]

3) Multiply both sides by 4.

[tex]x > 8 \times 4[/tex]

4) Simplify 8 × 4 to 32.

[tex]x > 32[/tex]

Therefor, the answer is x > 32.

Answer:

Compound interest

Step-by-step explanation:

Compound interest is a type of interest that is earned on both the principal plus any previous interest earned.

This ultimately implies that, the interest are compounded either on a daily, weekly, quarterly, monthly or annual basis.

Mathematically, compound interest is given by the formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Which type of interest is earned on both the principal plus any previous interest earned?

Simple interest

Compound interest

Both simple and compound

Noe of the above

Answer:

Your answer is X = 7

Step-by-step explanation:

Answer: x^2/9 + y^2/4 = 1

Step-by-step explanation:

Answer: [tex]\frac{x^{2} }{9} +\frac{y^{2} }{4} =1[/tex]

Step-by-step explanation:

Substitute the x-value of the vertex for a, and the y-value of the co-vertex for b in the standard equation of a horizontal ellipse [tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2}} =1[/tex].

[tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2} } =1[/tex]  

[tex]\frac{x^{2} }{-3^{2}} +\frac{y^{2} }{2^{2} } =1[/tex]

[tex]\frac{x^{2} }{9 } +\frac{y^{2} }{4} } =1[/tex]

Answer:

(0,-9), x = 0, (-3,0), (3,0), domain, -9

Step-by-step explanation:

Complete the square and you can read everything off the equation,

y  = x^2 - 9

= (x - 0)^2 - 9

Vertex : (0,-9)

Axis of symmetry: x = 0

x-intercepts:  x^2 = 9 -> x = ±3

Left x-intercept: (-3,0)

right x-intercept: (3,0)

Since the function is well-defined for any x-values,

we can say that its domain is the set of all real numbers.

Since the minimum point of the graph is (0,-9),

The range will be greater than or equal to -9.

Answer:

-

Step-by-step explanation:

-

The surface area of the cone is 16π square units.

The surface area of the cone is given by;

⇒ Area = πrl + πr²

Here, We have;

A right cone has a slant height of 6 and a radius of 2.

Substitute all the values in the formula

⇒ Area = πrl + πr²

⇒ Area = π x 2 x 6 + π x 2²

⇒ Area = 16π

Hence, The surface area of the cone is 16π square units.

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Answer:

Approximately $242,000

The answer is, X = 12.

hope it helps.

Answer:

x = 12

Step-by-step explanation:

simlify 4/3 * (3x-12)

4x - 16 = 2x + 8

combine like terms, so subtract 2x by 4x

2x - 16= 8

then finish combining like terms, so 16 plus 8

2x = 24

divide 24 by 2

x = 12

Answer: 1st one is 1300

2nd one is 2100

Step-by-step explanation:

1st one is set on liability and property insurance

2nd one is set on interruption and auto insurance

Answer:

40 sq units

Step-by-step explanation:

It is made by multiple right triangles

5 x 4 = 20

20 / 2 = 10

so now we multiply by 4

10x4 = 40

40 sq units