ITS DUE IN 20 MINUTES HELP PLEASE

let number be x

1/6x - 1/12x= 4

1/12x=4

cross multiply

x= 12 x 4

x= 48

If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.

Let the unknown number be 'a'

One-sixth of the number is expressed as 1/6 a ..... 1

One-twelfth the number is also expressed as 1/12 a

Four more than one-twelfth the number will be written as:

1/12 a + 4 .... 2

Equating 1 and 2 will give:

1/6 a = 1/12 a + 4

a/6 = a/12 + 4

Collect the like terms

[tex]\frac{a}{6} - \frac{a}{12} = 4[/tex]

Find the LCM

[tex]\frac{2a-a}{12} = 4\\\frac{a}{12} = 4[/tex]

Cross multiply

a = 12×4

a = 48

This shows that the required number is 48

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Answer:

[tex]\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}[/tex]

Step-by-step explanation:

According to the statement, we have the algebraic equation[tex]\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)[/tex] and we must to rewrite it as a polynomial. Since there are two variables: [tex]a[/tex], [tex]y[/tex], we must observe the following definition of polynomial:

[tex]p(a, y) = \Sigma\limits_{i = 0}^{n} c_{i}\cdot a^{i}\cdot y^{n-i}[/tex] (1)

Where:

[tex]i[/tex] - Index.

[tex]c_{i}[/tex] - i-th Coefficient of the polynomial.

[tex]n[/tex] - Grade of the polynomial.

By means of algebraic handling, we have the following result:

1) [tex]\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)[/tex] Given

2) [tex]\left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(5\cdot a\cdot y^{2}\right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right) \cdot \left(-\frac{1}{2}\cdot a^{2}\cdot y \right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(-\frac{5}{6}\cdot a^{3}\right)[/tex] Associative and distributive properties/[tex](-a)\cdot b = -a\cdot b[/tex]

3) [tex]\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}[/tex] Associative and commutative properties/[tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]/Definition of subtraction/[tex]\frac{a\cdot c}{b\cdot c} = \frac{a}{b}[/tex]/Result

Answer:

1/2

Step-by-step explanation:

total marbles 6

white marbles 3

white marbles/ total = 3/6

simply 1/2

Step-by-step explanation:

total marbles 6

white marbles 3

white marbles/total =3/6

simply 1/2

Answer:

74-16 square root 10

Step-by-step explanation:

area = (length)^2

= (8- square root 10)^2

= 64- 16 square root 10 + 10

=74-16 square root 10

The area of the square is  [tex]74-16\sqrt{10}[/tex] inches².

Area of square

Let x be the length of square

then area = x²

How to find the square area?

Given the side length of a square is [tex]8-\sqrt{10}[/tex]  inches.

then the area of the square is [tex](8-\sqrt{10} )^{2}[/tex]

therefore,

[tex](8-\sqrt{10} )^{2}= 8^2+(\sqrt{10})^2-2(8)(\sqrt{10})[/tex]

                 [tex]=64+10-16\sqrt{10}[/tex]

                 [tex]=74-16\sqrt{10}[/tex]

Hence the area is [tex]74-16\sqrt{10}[/tex]  inches².

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Answer:

The surface area of the parallelogram is;

2x^3 -6x^2 - 14x +24 squared centimeters

Step-by-step explanation:

To get the area of the parallelogram, we need to multiply the base length of the parallelogram by the height of the parallelogram

We have this as follows;

(x-4)(2x^2+2x-6)

= x(2x^2 + 2x-6) -4(2x^2 + 2x-6)

= 2x^3 + 2x^2 - 6x -8x^2 -8x + 24

= 2x^3 +2x^2 -8x^2 -6x-8x+24

= 2x^3 -6x^2 - 14x +24

Answer:

c = 10

Step-by-step explanation:

3 is to 6 as 5 is to c:

 3       5

----- = -----

  6       c

Then 3c = 30, and c = 10

Answer:

for the empty box in the -4 column put -8 and for the empty box in the 6x column put -18

Step-by-step explanation:

[tex] {2x}^{2} + 8x - 1 = 0 \\ {x}^{2} + 4x - \frac{1}{2} = 0 \\ {x}^{2} + 4x + {( \frac{1}{4} )}^{2} - \frac{1}{2} - { (\frac{1}{4} )}^{2} = 0 \\ {(x + \frac{1}{4}) }^{2} - \frac{9}{16} = 0 \\ {(x + \frac{1}{4}) }^{2} = \frac{9}{16} \\ x + \frac{1}{4} = ±( \frac{ 3}{4} ) \\ x = \frac{1}{2} \: or \: - 1[/tex]

Answer:

Step-by-step explanation:

divide each term by 2 to begin with x²

x² + 4x - 1/2 = 0

now add 1 to each side

x² + 4x = 1/2

now divide 4 in half and square the result and add it to each side

x² + 4x + 4 = 1/2 + 4

(x + 2)² = 9/2

Answer:

252

Step-by-step explanation:

Step-by-step explanation:

$325x240acres

=$78000

Answer:

A

Step-by-step explanation:

Answer:

63-degrees

Step-by-step explanation:

triangle = 180 degrees

46 + 71 + w = 180

117 + w = 180 *subtract 117 from both sides*

w = 63

Answer:

La altura de la torre es de 4,0052 m.

Step-by-step explanation:

En la figura vemos que la persona está parada en C y la bandera en A.

Se dan la base y la hipotenusa, tenemos que encontrar la altitud / altura / perpendicular del triángulo.

Según el teorema de Pitágoras

hipotenusa² = base² + perpendicular²

o

perpendicular² = hipotenusa²- base²

perpendicular² = 5.39²- 2²

perpendicular² = 29.0521-4

perpendicular² = 25.0521

perpendicular = √25.0521

perpendicular = 5.0052m

Ahora, en el punto A, la altura de la bandera se incluye en la altura de la torre.

La longitud de la bandera se deduce para obtener la altura real de la torre.

perpendicular = longitud de la bandera + altura de la torre

altura de la torre = perpendicular - longitud de la bandera

            = 5.0052-1 = 4.0052m

La altura de la torre es de 4,0052 m.

From the figure we see that the person is standing at C and the flag is at A.

The base and the hypotenuse are given we have to find the altitude / height/ perpendicular of the triangle.

According to Pythagorus theorem

hypotenuse²= base² + perpendicular²

or

perpendicular²= hypotenuse²- base²

perpendicular²= 5.39²- 2²

perpendicular²= 29.0521-4

perpendicular²= 25.0521

perpendicular= √25.0521

perpendicular= 5.0052m

Now at the point A the height of the flag is included in the height of the tower.

The length of the flag is deducted to get the actual height of the tower.

perpendicular= flag length  + tower height

tower height = perpendicular - flag length

            =5.0052- 1= 4.0052m

The tower height is 4.0052m

Answer:

x=21.7

Step-by-step explanation:

cos ø=adjacent/hypotenuse

cos37°=17.3/hypotenuse

hypotenuse=17.3/cos 37°

hypotenuse=21.66

Answer:

Ok

Explanation:

Answer:

x=-1

Step-by-step explanation:

[tex] \frac{x ^{100} + 1 }{x + 1} [/tex]

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

Answer: C

Because if you put then in order(1,3,3,4,9) you will see that once you cross them off the last one will be 3 which would be the median and the answer.

Answer:

[tex] {c}^{2} = {5}^{2} + {4}^{2} \\ {c}^{2} = 25 + 16 \\ {c}^{2} = 41 [/tex]

Answer:

B. 36π

Step-by-step explanation:

circumference of circle=2πr

hope it helps

[tex]\huge{ \mathfrak{ \underline{ Answer }}}\: \: ✓ [/tex]

let's divide the figure into two parts :

_____________________________

Area of rectangular prism :

_____________________________

Area of triangular prism :

_____________________________

Volume of whole figure :

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change. However, the volume of the object always changes more than the surface area for the same change in dimensions.

Answer:

B

Step-by-step explanation:

Answer:

x=41

Step-by-step explanation:

so since this is a right triangle you can use the Pythagorean Theorem to find the missing side. the two sides you know are 'a' and 'b' and the missing side is 'c'. the theorem says that:

a^2+b^2=c^2

so:

9^2 +40^2=c^2

solve for the exponents:

81 +1600=c^2

1681=c^2

and now, since 1681 is the missing side's length squared, we must find the square root of 1681, which is 41

hope this helps :)

Answer:

as 1 mile = 1.609 km

so 5miles = 8.045 km

so 2/3 of the trail = 2/3 × 8.045 = 5.3633333 (ans)

Hope it helps

A trail is 5 miles long. Carlos walks 2/3 of the trail and runs the rest. Carlos walks 5.36 miles.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A trail is 5 miles long. Carlos walks 2/3 of the trail and runs the rest.

we know that 1 mile = 1.609 km

then, 5 miles = 5 × 1.609

                      = 8.045 km

so, 2/3 of the trail = 2/3 × 8.045

                             = 5.3633

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Answer:

maybe 2 minutes?

Step-by-step explanation:

not sure im so sorry!

Answer:

C ≥ 9

Step-by-step explanation:

Since they have already spent 15 dollars, and they will spend more than 23, it should at least be 24, but can also be more than 24, so C is greater than or equal to 9 :D

Answer:

B and E

Step-by-step explanation:

To verify which are solutions, substitute the given values into the left side of the equation and if equal to the right side then they are solutions.

A

2(20)² + 18(20) = 800 + 360 = 1160 ≠ 20 ← not a solution

B

2(1)² + 18(1) = 2 + 18 = 20 ← solution

C

2(- 2)² + 18(- 2) = 2(4) - 36 = 8 - 36 = - 28 ≠ 20 ← not a solution

D

Is a repeat of C

E

2(- 10)² + 18(- 10) = 2(100) - 180 = 200 - 180 = 20 ← solution

F

2(- 1)² + 18(- 1) = 2(1) - 18 = 2 - 18 = - 16 ≈ 20 ← not a solution

Then B and E are solutions to the equation

[tex] \huge \mathrm{Answer࿐ }[/tex]

let's solve the quadratic equation :

So, there are two cases :

Case - 1 (when, 2x - 2 = 0)

Case - 2 (when, x + 10 = 0)

Therefore the required options will be :