Ashley ate exactly one-third of the peanuts in a dish. Then, Emily ate exactly one-fourth of the remaining peanuts in the dish. Lastly, Isabella ate exactly one-fifth of the remaining peanuts in the dish. What is the least number of peanuts that could be in the dish when Isabella finishes? [Whole peanuts may not be split into smaller parts.]

Given:

The equation is:

[tex]3x-2y=18[/tex]

To find:

The slope intercept form of the given equation.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

We have,

[tex]3x-2y=18[/tex]

It is not in the slope intercept form.

We need to isolate variable y to get the slope intercept form.

The given equation can be rewritten as:

[tex]-2y=-3x+18[/tex]

[tex]y=\dfrac{-3x+18}{-2}[/tex]

[tex]y=\dfrac{-3x}{-2}+\dfrac{18}{-2}[/tex]

[tex]y=\dfrac{3}{2}x-9[/tex]

Therefore, the slope intercept form of the given equation is [tex]y=\dfrac{3}{2}x-9[/tex].

Answer:

the percent of her comic books did Skylar give away is 20%

Step-by-step explanation:

Given that

Skylar has a collection of 60 comic books

She gave away some of her books

And she left by 48 books

we need to find out the percent of the skylar give away books

= (60 - 48) ÷ 60

= 12 books ÷ 60 books

= 20%

Hence, the percent of her comic books did Skylar give away is 20%

Answer:

Louise has a remaining balance of $32.76

Step-by-step explanation:

Answer:

The correct angle is 45.3°

Step-by-step explanation:

Since the opposite side of the angle is 32 feet, and the hypotenuse of the right triangle is 45 feet, you would know that the sine of x° is equivalent to [tex]\frac{32}{45}[/tex]. To find the value of x, take the arcsin of both sides and you'll get that [tex]x = arcsin(\frac{32}{45})[/tex] ⇒ [tex]x[/tex] ≈ 45.3°.

Answer:

424.3m³

Step-by-step explanation:

I'm sorry, I don't have any proof because I used the go.ogle calculator, you're just gonna have to trust me on this one

Answer:

V≈2143.03cm³

Step-by-step explanation:

The volume of the sphere is 2143.57 cm³.

A = 4 × π × r², where 'r' is the radius of the sphere.

V = (4/3) × π × r³

For given example,

a surface area of the sphere is 803.84 cm^2.

⇒ A = 803.84 cm²

Using the formula of the surface area of the sphere,

⇒ 4πr² = 803.84

⇒ r² = 64

⇒ r = 8 cm

Using the formula of the volume of the sphere,

⇒ V = (4/3) × π × r³

⇒ V = (4/3) × 3.14 × 8³

⇒ V = 2143.57 cm³

Therefore, the volume of the sphere is 2143.57 cm³.

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Answer:

2

Step-by-step explanation:

22 - 2y

= 22 - 2 ( 10 )

= 22 - 20

= 2

Answer:

Length = 11

Width = 4

Step-by-step explanation:

The value of dimension are;

Length of polygon is 11 ft.

Width of polygon is 4 ft.

Here,

Area of polygon = 44 ft^2

Length of polygon = ( x - 5 ) ft

Width of polygon = ( x - 12 ) ft

We have to find the dimension of polygon.

What is the polygon?

A two-dimensional geometric figure that has a finite number of sides, is called polygon.

Now,

Area of polygon = 44 ft^2

Length of polygon = ( x - 5 ) ft

Width of polygon = ( x - 12 ) ft

Since, Area of polygon = length x width

Hence,

[tex]44 = ( x - 5 ) ( x - 12 )\\\\44 = x^{2} -5x-12x+60\\\\x^{2} - 17x + 16 = 0[/tex]

After factorizing we get;

[tex]x^{2} - 16x - 1x + 16 = 0\\\\x ( x-16) -1 ( x - 16)= 0\\\\(x-1)(x-16)=0[/tex]

[tex]x = 1, x = 16[/tex]

Since, x = 1 is not possible because its gives the values of dimension in negative.

So, x = 16

Now,

Length of polygon = ( x - 5 ) ft = 16 - 5 = 11 ft

Width of polygon = ( x - 12 ) ft = 16 - 12 = 4 ft

Therefore, Length of polygon is 11 ft.

                Width of polygon is 4 ft.

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Answer:

I'm pretty sure it's 72, if not i'm sorry

Answer:

Step-by-step explanation:

Answer:

3 is A 2 is 7 or around 32 and then 1 you gotta figure it out.

Step-by-step explanation:

This may not be correct but hopefully it is..

Answer:

NO it is not

Step-by-step explanation:

To check that, we will need to substitute the value of each of the coordinates in each of the equations

10x-y = -6

substitute 1 for x and 6 for y

we have this as;

10(1)-6 = 4

Outrightly, we can see that the given point is not a solution to the given system of equations

however, let us confirm for the second

We have this as;

-10(1) + 5(6)

= -10 + 30 = 20

so we can confirm that it does not work for any of the two and our answer is NO

Answer:

a

Step-by-step explanation:

the common d/ce is four but not common ratio

The type of Sequence from [tex]a_1[/tex] = 2 and [tex]a_n[/tex] = [tex]a_{n-1}[/tex] + 4 is Arithmetic and recursive.

In algebra, an arithmetic sequence is a set of numbers whose every two consecutive terms have the same difference.

An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k. In a geometric sequence, each term rises by dividing by or multiplying by a certain constant k.

For example in the arithmetic sequence 3, 9, 15, 21, 27, the common difference is 6.

Given:

[tex]a_1[/tex] = 2

[tex]a_n[/tex] = [tex]a_{n-1}[/tex] + 4

We know that the Arithmetic Sequence is of two forms

Explicit Form : [tex]a_n[/tex] = a+ (n-1)d

and, Recursive form: [tex]a_n[/tex] = [tex]a_{n+1}[/tex] + d

Now, we have [tex]a_n[/tex] = [tex]a_{n-1}[/tex] + 4 which is in the form of Recursive.

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Answer:

6 units

Step-by-step explanation:

Use the distance formula, [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex].

Plug the x and y values from the given points into the distance formula:

[tex]\sqrt{([-4]-2)^{2}+(5-5)^{2}}[/tex].

Solve the square root:

[tex]\sqrt{36}[/tex] = [tex]\sqrt{6^{2}}[/tex] = [tex]6[/tex]

Answer:

621.75

Step-by-step explanation:

Hope this helps!!!

Answer:

ΔIJK ≈ ΔXVW

Step-by-step explanation:

Answer:

r ≈ 7.80 yd

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

Here C = 49 , then

2πr = 49 ( divide both sides by 2π )

r = [tex]\frac{49}{2\pi }[/tex] ≈ 7.80 yd ( to the nearest hundredth )

Answer:

extra cheese, green olives, mushrooms, onions, peppers, and tomatoes.

Step-by-step explanation:

Answer:

[tex]Aear=2450cm^{2}[/tex]

Step-by-step explanation:

The figure is made up of a rectangle, parallelogram, and square.

Area of the rectangle is 50(15)=750 cm²

Area of the parallelogram is 40 (40)=1600cm²

Area of the square is 10(10)=100 cm²

The total area is 750+1600+100= 2450 cm²

[tex]-------------------[/tex]

hope it helps..

have a great day!!!

Responder:

20.000

Explicação passo a passo:

Dado que:

Porcentagem de bois no rebanho = 15%

Percentagem de vacas = (100 - 15)% = 85%

Número de vacas = 17.000

Por isso,

85% = 17.000

15% = x

Multiplicação cruzada

0,85x = 17.000 * 0,15

0,85x = 2550

x = 2550 / 0,85

x = 3000

Número de bois no rebanho = 3000

Portanto, número total de gado no rebanho =

3000 + 17000 = 20.000

The solution to the equation x² + 5x = 0 is x = 0 or x = -5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x² + 5x = 0   be equation (1)

Now , on simplifying the equation , we get

On factorizing the equation , we get

Taking the common factor x ,

x ( x + 5 ) = 0

Now , x can take 2 values which will satisfy the given equation

when x = 0 or ( x + 5 ) = 0

when x = 0

Substitute the value of x in the equation , we get

0 ( 0 + 5 ) = 0

0 = 0

The equation is true when x = 0

And ,

when ( x + 5 ) = 0

Subtracting 5 on both sides of the equation , we get

x = -5

when x = -5

-5 ( -5 + 5 ) = 0

-5 x 0 = 0

0 = 0

The equation is true when x = -5

Hence , the solution is 0 , -5

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Answer:

look at this

o(*≧□≦)o

Step-by-step explanation:

MATH-WAY

Answer:

I dunno.... like 29876?

Step-by-step explanation:

Answer:

the last one is correct, the answer is t=4d+5