Goran wants to build a square picture frame with sides that are
5.25 inches long. Natalie wants to build a square sandbox and needs
11 times the amount of wood that Goran needs to build his frame.
They have 4 pieces of wood that are each 65.5 inches long. How much
wood will they have left over after making the frame and sandbox?

Step-by-step explanation:

system 1 :

3x + 2y = 7

4x + 7y = 17

system 2 :

12x + 2y = 28

4x + 7y = 17

the first equation in the second system is not a multiple of either equation in the first system, and the second equation in the second system is the same as the second equation in the first system.

thus, the systems are not equivalent.

"12x" gives us the idea what the factor would have to be (4 or 3), if the second equation of the second system would be a multiple of any of the equations in the first system.

as we would have to multiply 3x by 4 to get 12x, and 4x by 3 to get 12x.

but then 2y×4 = 8y, or 2y×3 = 6y, and that is not the same as 2y (part of the first equation of the second system).

that is why this first equation of the second system is not a multiple of either equation in the first system.

and that makes it impossible for both systems to be equivalent. that the second equations are identical, is then not relevant anymore.

Answer: 16.5

Step-by-step explanation:

Original price is 22 remove 25% by multiplying 22 by 0.75

If trying to find the original price when the discount is 25% and the discounted price is 22 take 22 and divide it by 3 and then multiply it by 4

Answer:

the Median is 9.5

Answer:

It's not similar

Step-by-step explanation:

the triangle on the left is "85*" and the triangle on the right is "65*"

this is what I know based on my knowledge  

Answer:

<6, <5, <7 all equal 48 degrees.

<1, <2, <3, <4 all equal 132 degrees.

Step-by-step explanation:

Straight angles (like <5 & <2) are supplementary, so they equal 180 when added together

Vertical angles (like <2 & <1) have the same measurments

Corresponding angles (like <8 & <6) have the same measurements

Alternate interior angles (like <8 & <5) have the same measurments

Alternate exterior angles (like <6 & <7) have the same measurements

Same-side interior angles (like <8 & <2) are supplementary, so they add to 180.

There's more, and there's other ways to do this, this is just an example. Good luck! <3

Answer:

0.334

Step-by-step explanation:

Basically to show reasoning: 16*215= 3340

4 decimal places, so you would move it four decimal places from 3340.

Which equals to: 0.334

Hope this helped! :)

Using equations, the weights of the four fish are as follows:

Equations are mathematical statements showing the equality of two mathematical expressions.

Using the equation sign (=), equations depict that expressions are equal or equivalent.

The total weight of the four fish = 1,032

Let the weight of the Amberjack = x

Weight of the Tarpon = 2x

Weight of the White Marlin = 4x (2 x 2x)

Weight of the Tuna = 5x

x + 2x + 4x + 5x = 1,032

12x = 1,032

x = 86

Amberjack = 86 pounds (x)

Tarpon = 172 pounds (2x)

White Marlin = 344 pounds (4x)

Tuna = 430 pounds (5x)

Total weight = 1,032 pounds (86 + 172 + 344 + 430)

Thus, we solved the weight of each fish using equations.

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How much did each fish weigh?

Answer:

d

Step-by-step explanation:

The constant of proportionality in a proportional relationship is the number that relates the two variables, x and y, in the equation y = kx.We can see that the relationship between x and y is in the form of y = kx. We can find the constant of proportionality (k) by dividing the y-value by the corresponding x-value.For example:

x = 2; y = 5/6

k = y/x = (5/6) / 2 = 5/12The constant of proportionality is 5/12 for the given proportional relationship,

y = kx where k = 5/12Note that it is important to understand that the relationship is a proportion because in this case, the k(constant) is the same for every point, if we calculate each (y/x) point it will be 5/12

Answer: Simplified expression- [tex]18y^{5} - 27y^{4} + 18y^{3}[/tex]

Step-by-step explanation: You get the product by simplifying it.

I tried my best, I hope this it what you were looking for:)

Answer:

116

Step-by-step explanation:

Answer:

x=-2

y= 8

Step-by-step explanation:

Given data

10x – 2y = -36-----------1

7x – 2y = -30--------------2

-Subtract to eliminate y

3x-0= -6

3x= -6

x= -6/3

x= -2

Put x= -2 in

7(-2)– 2y = -30

-14-2y=-30

-14+30=2y

16=2y

y= 16/2

y= 8

Answer:

Option C

The Area Of Shaded Region is 50.2 cm²

Step-by-step explanation:

For A given Circle,

For Small (Non-Shaded) Circle:

Diameter (d) = 6 cm

Radius = d ÷ 2 = 6/2 = 3 cm

For Area of Small (Non-Shaded) Circle

A = πr²

A = 3.14 × (3)² cm

A = 3.14 × 9 cm

A = 28.26 cm²

For Area of Big (Shaded) Circle:

Diameter (d) = 10 cm

Radius = d ÷ 2 = 10/2 = 5 cm

For Area of Small (Non-Shaded) Circle

A = πr²

A = 3.14 × (5)² cm

A = 3.14 × 25 cm

A = 78.5 cm²

For The Area Of Shaded Region

Area of Big Circle - Area of Small Circle

78.5 cm² - 28.26 cm² = 50.24 cm²

Thus, The Area Of Shaded Region is

50.2 cm²

-TheUnknownScientist

Answer:

3rd option

50cm2

Step-by-step explanation:

50cm2

explanation is given above

The answer is 158.75 cubic centimeters! :))

Answer:

Cici O i itcivouvitci cc tfurx

Step-by-step explanation:

vhihciycyivovitcu

Answer:

Not possible to calculate with the information

Step-by-step explanation:

Given

[tex]Elector = 5[/tex] (each)

Required

The number of Kansas senators presently in the US senate

First, it should be noted that the given information applies to 2008 presidential election

Next, the given information states the number of electors each of the given locations had in the electoral college.

There was no information about the number of senators in the senate (presently or 2008).

Hence, additional information is required to answer the question.

Answer:

Step-by-step explanation:

1. ( -2, 2), (-1, 5)

   (5 - 2)/(-1 + 2)= 3/1= 3

2. (-4, 2), (2, 0)

   (0 - 2)/(2 + 4) = -2/6 = -1/3

3. (0, 3), (5, 1)

(1 - 3)/(5 - 0)= -2/5

4. (0, 0), (1, 1)

  (1 - 0)/(1 - 0)= 1/1= 1

5. (3, 0), (3, 1)

(1 - 0)/(3 - 3) = 1/0 = undefined

6. (0, -1)  (1, -1)

   (-1 + 1)/(1 - 0)= 0/1 = 0

Answer:

144

Step-by-step explanation:

3ft = 36 inches         card 2x3 = square  6 inches

2ft = 24 inches

36X24 = 864 square inches

864/6= 144

The greatest number of cards that can be cut from the sheer if rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft is 144.

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.

Given:

The dimension of rectangular card = 2 inches × 3 inches,

The dimension of rectangular sheet = 2 ft  × 3 ft,

We know that 1 foot = 12 inches,

The dimension of a rectangular sheet = 24 inches × 36 inches

Area of sheet = 24  ×  36 = 864 inches²,

Area of card = 2  ×  3 = 6  inches²,

The no of card  = Area of sheet / Area of card

The no of card  = 864 / 6 = 144

Therefore, the greatest number of cards that can be cut from the sheer if rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft is 144.

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The perimeter of the netball court is equal to 92 meters.

What does perimeter mean?

The whole distance encircling a shape is referred to as its perimeter. It is the length of any two-dimensional geometric shape's boundary or outline.

A netball court is a rectangle,

it is given that length of the net ball court is equal to 31 meters.

The width of the netball court is equal to 15 meters.

Therefore the perimeter of the netball court is equal to the length of all sides of the rectangle.

Perimeter of netball court = 2(31+15)=92 meters.

Therefore perimeter of the netball court is equal to 92 meters.

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Based on the measurements shown in the table, the C-axis intercept of the line is equal to 100.

In Mathematics, the y-intercept of any graph such as a linear function, exponential function, polynomial function, quadratic function, etc., generally occur at the point where the value of "x" is equal to zero (x = 0).

In Mathematics, the x-intercept can be defined as the point at which the graph of a linear function, exponential function, polynomial function, quadratic function, etc., crosses the x-coordinate and the value of "y" is equal to zero (y = 0).

In this scenario, the C-axis intercept of the line simply refers to x-intercept. Therefore, we can reasonably infer and logically deduce that the C-axis intercept of the line (x-intercept) is equal to 100 while the d-axis intercept of the line (y-intercept) is equal to 200.

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Answer: The matching jacket requires 1/6 yards less fabric than the dress, which is 3 1/4 - 1/6 = 3 1/4 - 2/12 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 3/12 yards of fabric.

To add these two amounts of fabric together, you need to add the yards and the inches separately.

For the dress: 3 1/4 yards = 3 + 1/4 = 3 + 0.25 = 3.25

For the jacket: 3 3/12 yards = 3 + 3/12 = 3 + 0.25 = 3.25

So, for both pieces, the required fabric is 3.25 + 3.25 = 6.5 yards

Step-by-step explanation:

3 x 3 x 3 x 3 x 3 x 3 x 2 x 3 x 3 x 434 = 5,694,948

Answer:

H

Step-by-step explanation:

A table showing y as a function of x is a table that has exactly one y-value that is assigned to every x-value in the table.

Thus, all tables except table H do not meet this criteria.

In table H, every x-value has exactly one y-value. No x-value is having different y-values assigned to it.

Therefore, the answer is H.

The opposite of the opposite of -2 is equal to: -2

This can be solved by using the concept of inverse.

This quantity is also referred to as the opposite (number), sign modification, and negation. It changes the sign of a real number so that the additive inverse of a positive number is negative and the additive inverse of a negative number is positive. Due to their ability to reverse mathematical processes, inverse techniques are crucial for solving equations. One of the most crucial issues to ask whenever a new mathematical method is presented is how to invert it.

The term inverse in mathematics refers to the inverse of another operation.

In this case firstly opposite of - 2 is 2 and next opposite of 2 is again -2.

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Triangles ABC and DEC are similar.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

Given the triangles ABC and DEC

For the triangle ABC:

m∠A = 36, m∠B = 21

So, the m∠C = 180 - (m∠A + m∠B ) = 180 - (36 + 21) = 123

Similarly, the angles of DEC are,

m∠D=36 , m∠C=123 & we get,  m∠E =21

So, comparing the measurements of the angles of both triangles:

m∠A=m∠D.

m∠C=m∠C

m∠B=m∠E

So, the triangles are similar using the AAA postulate.

Hence, triangles ABC and DEC are similar.

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Answer:

1356

Step-by-step explanation:

Answer:

[tex]y = - \frac{1}{3} x - 4[/tex]

Step-by-step explanation:

The equation of a kind can be written in the slope intercept form, y= mx +c, where m is the gradient and c is the y-intercept.

[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]

[tex]m = \frac{ - 2 - ( - 3)}{ - 6 - ( - 3)} [/tex]

[tex]m = \frac{ - 2 + 3}{ - 6 + 3}[/tex]

[tex]m = \frac{ 1}{ - 3} [/tex]

Substitute the value of m into the equation:

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

To find the value of c, substitute a pair of coordinates.

When x= -3, y= -3,

[tex] - 3 = - \frac{1}{3} ( - 3) + c[/tex]

[tex] - 3 = 1 + c[/tex]

c= -3 -1

c= -4

∴ The equation of the line is [tex]y = - \frac{1}{3} x -4[/tex].