Meah bought a dress for $550 at 20% discount. What was the original price?​

After solving this equation we get x = 1 and y = 30.

An equation is a mathematical statement that describes the relationship between two or more variables. It is a statement that states the equality of two expressions. Equations can be used to describe anything from the motion of a pendulum to the growth of a population. They are used in all areas of mathematics, physics, and other sciences. Equations are written using symbols, such as = (equal to), > (greater than), and < (less than).

To solve this systems of equations, we need to use algebraic techniques. First, we need to rewrite the equations so they are in the same form. To do this, we will subtract x from both sides of the second equation, giving us:

y = x + 30

-x

y = 30

Now, we will subtract 30 from both sides of the equation, giving us:

y = 4x + 9

-30

y = 4x - 21

Now we will subtract 4x from both sides of the equation, giving us:

y = 4x - 21

-4x

y = -21

Finally, we will divide both sides by -21, giving us:

y = -21

-21

y = 1

This means that the solution to our system of equations is x = 1, y = 30.

To show our algebraic work on paper, we can rewrite the equations and perform each step as a mathematical operation:

y = 4x + 9

y = x + 30

y = x + 30 - x

y = 30

y = 4x + 9 - 30

y = 4x - 21

y = 4x - 21 - 4x

y = -21

y = -21 ÷ -21

y = 1

Therefore, x = 1 and y = 30.

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The distance traveled by car in one hour will be 56 miles.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a car goes 42 miles in 45 minutes (3/4 of an hour). the distance traveled by car in one hour will be calculated as,

45 minutes = 42 miles

1 minute = 42 / 45 miles

60 minutes = ( 42 / 45 ) x 60

60 minutes = 56 miles

Hence, the distance will be 56 miles.

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On solving the provided question, we can say that from the graph, area of the figure = 2*( 35+34.6+112+.3478 ) = 363.895sq units

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

From the graph,

area of the figure = 2*( 35+34.6+112+.3478 ) = 363.895sq units

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Answer: y=3x-2

Step-by-step explanation:

Given a point and slope, all we need to do a find the y-intercept. What we do a to plug in (x,y).

-8=3(-2)+b       [multiply]

-8=-6+b           [add both sides by 6]
b=-2

This gives the final equation of y=3x-2.

If 537¹⁰²² were calculated the digit farthest to the right be 9.

If you started calculating 537¹⁰² it would not be possible , and your calculator doesn't display enough digits for you to be able to read off the ones digit for this very large number, so you have to figure out another way to "see" the ones digit. A good place to start might be to look at the ones digit for powers of 7 because 7 is the ones digit of 537. Maybe there will be a pattern:

7⁰ = 1 , 7² = 49, 7³ = 343, 7⁴ = 2401 , 7⁵ = 16807 , 7⁶ = 117649

7⁷ = 823543 and so on .

It looks like the pattern of the unit place digits is 1, 7, 9, 3, 1, 7, 9, 3 with the sequence of these 4 digits repeating over and over again. Now, if you can decide where in this pattern the unit place digit of  537¹⁰² falls, you'll have the problem solved.

So the number falling on the unit place digit is 9 when the power is in 2 so if 537¹⁰² is solves we would get 9 at the ones place according to the pattern we have seen earlier.

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Answer:

The coordinates of the image would be S(-8,8), U(-8,4) P(8,8).

Step-by-step explanation:

You would just multiply the pre-image by the scale factor.

Ex:

S(-2,2) *4

S(-8,8)

88 cm is the circumference of a circle with a diameter of 28 cm.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The circumference of a circle with a diameter of 28 cm.

Radius = 28/2

Radius is 14 cm.

Circumference=2πr

=2×3.14×14

=87.92=88 cm

Hence, 88 cm is the circumference of a circle with a diameter of 28 cm.

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You can use the following equation to determine how long it will take to go 200 kilometers at a speed of 60 kilometers per hour:

Time = Distance / Speed

By entering the specified values, you obtain

200 kilometers divided by 60 kilometers per hour equals time.

  Divide the distance by the speed to find the time:

Time =200/60

        3.333 hours (or 3 hours and 20 minutes)

 As a result, travelling 200 kilometers at a speed of 60 kilometers per hour will take 3 hours and 20 minutes.

    Therefore, It will take 3 hours and 20 minutes to travel 200 kilometers at a speed of 60 kilometers per hour .

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a) The equation for a circle with centre (h, k) and radius r is: (x - h)^2 + (y - k)^2 = r^2

Since the centre of the circle is (0, 0), the equation for the circle with point B(5, -12) on its circumference is:

(x - 0)^2 + (y - 0)^2 = r^2

b) To determine whether point (8,10) lies inside or outside of the circle, we can substitute its coordinates into the equation for the circle.

If the equation is true, then the point lies on the circumference of the circle. If the equation is false, we can compare the left side of the equation to the right side to determine if the point is inside or outside of the circle.

For point (8,10), we can use the equation:

(x-0)^2 + (y-0)^2 = r^2

If we substitute (8,10) in the place of x and y, we get:

(8-0)^2 + (10-0)^2 = r^2

64 + 100 = r^2

164 = r^2

13 ≠ r

Since the left side of the equation is not equal to the right side, the point (8,10) lies outside of the circle.

Uday Tahlan

The equation of line is y = ( 1/3 )x - 2 and the slope is m = 1/3

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( -3 , -3 )

Let the second point be Q ( 0 , -2 )

Now , the slope of the line between the points is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -2 - ( -3 ) ) / ( 0 - ( -3 ) )

On simplifying the equation , we get

Slope m = 1 / 3

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - ( -3 ) = ( 1/3 ) ( x + 3 )

On simplifying the equation , we get

y + 3 = ( 1/3 )x + 1

Subtracting 3 on both sides of the equation , we get

y = ( 1/3 )x - 2

Hence , the equation of line is y = ( 1/3 )x - 2

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Answer:

Step-by-step explanation: goofy

By special order, Starbucks Coffee Company roasts a number of Kirkland Signature coffee flavors. The 2.5 pound Kirkland Signature Espresso Blend Coffee, Decaf House Blend Coffee, and Regular House Coffee are some examples. Coffee from Kirkland's Signature House Blend costs $6.20 per pound.

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A. Georgia did not get a head start in the race as the y-intercept is 4

B. The y-intercept of the equation y = 3x + 4 is the point where the line crosses the y-axis. In this equation, the y-intercept is 4. This means that when x = 0 (at the start of the race), y = 4.

This is the point where Georgia started the race, and since x=0, the distance is 4 and she did not get any head start. Therefore, the y-intercept is not a head start.

The y-intercept value in the equation is the constant term (4) which is always added to the equation regardless of the value of x.

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Each table matched with Exponential or Linear based on the pattern shown:

Table A → exponential

Table B→ linear

Table C→ exponential

Table D→ linear

The graph of a linear function is a straight line. The following is the form of a linear function.

a + bx = y = f(x).

One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.

Given:

There are four tables.

If the first difference of the table's data is constant,

then the table shows the linear relationship.

And if the ratio is common, t

hen the table shows the exponential relationship.

Table A:

-6/-1 = 6

-36/-6 = 6

-216/-36 = 6

The common ratio is 6.

The table shows the exponential relationship.

Table B:

14 - 7 = 7

21-14 = 7

28 - 21 = 7

The first difference is constant.

The table shows the linear relationship.

Table C:

3/1 = 3

9/3 = 3

27/9 = 3

The common ratio is 3.

The table shows the exponential relationship.

Table D:

6 - 0 = 6

12 - 6 = 6

18 - 12 = 6

The first difference is constant.

The table shows the linear relationship.

Therefore, the relationship is given above.

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The longest stick that can fit in the box is the diagonal line that goes from one corner of the box to the opposite corner.

A diagonal line is a straight line that slants or slopes in any direction. It is used to connect two points which are not on the same level, or to create a shape that would not be possible with a straight line. Diagonal lines are often used in art and design to add interest, movement, and texture.

This line is of length √A2 + B2 + C2.
This is because the diagonal line of a rectangular prism of side lengths A, B, and C is given by the Pythagorean theorem, √A2 + B2 + C2.

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Hope it helps.

If you have any query, feel free to ask.

Answer:

To find the sine of angle U, we can use the following formula:

sin(U) = UV/UW

Plugging in the given values:

sin(U) = 6/8 = 3/4

So the sin of angle U is 3/4

Answer:

45 degrees

Step-by-step explanation:

Answer: 1/2 If I'm understanding the question right.

Step-by-step explanation:

If one coin is heads on both sides and one is a regular coin, then there are two coins. 1 is 1/2 of 2 so there is a 1/2 chance that the coin you flipped is the heads on both sides coin.

The interpretation that the likelihood that the first question will be true is (a) Likely

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

From the question, we have the following parameters that can be used in our computation:

Probability value:-

The value of the probability and the notation are given as

P(true) = 0.8

As a general rule of probability, we have

Range of probability value = 0 to 1 (inclusive)

Unlikely = less than 0.5

Equally likely and unlikely = 0.5

Likely = greater than 0.5

Using the above as a guide, we have the following:

The value of P(true) = 0.8 is greater than 0.5

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360 degrees equals a circle. A circle can be divided into more manageable pieces. A circle's circumference is referred to as an arc, and an arc is given a name based on its angle.

Having no sides or edges, a circle is a figure with a round shape. A closed, two-dimensional curved form is what is meant by the term "circular" in geometry. The shape of a car tire, a wall clock that indicates the time, and a lollipops are a few objects that are circular in nature. The collection of all points in the plane that make up a circle are all equally spaced from a certain point known as the "centre," making the form a closed two-dimensional shape.

The reflection symmetry line is created by all lines that traverse the circle. Additionally, it is symmetrical in rotation around the center at all angles. A curved line forms a circle, a two-dimensional shape. The curving line's tips are evenly spaced apart from the center since it is a sphere.

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There are 12 functions: Identity,Squaring, Cubing, Reciprocal, Square Root, Exponential, Natural Logarithm, Sine, Cosine, Absolute Value, Greatest Integer, and Logistic.

Identity function

The only function that affects every real number while leaving it alone is this one.

Squaring function

Making satellite dishes and torches is made possible by the reflection property of the function's graph, known as a parabola.

Cubing function

For this curve, the origin is referred to as a "point of inflection" since the graph's curvature changes at that location.

Reciprocal function

Finding the inverse of a given function leads to the creation of a reciprocal function. The reciprocal function is f(x) = 1/x for a function f(x) = x.

Square Root Function

A function with a square root around the independent variable is known as a square root function.

exponential function

When the input variable x appears as an exponent in the formula f(x) = axe, an exponential function is indicated.

Logarithm Natural Function

The inverse of the exponential function ex is the natural logarithm function, or e^x.

The inverse of the exponential function ex is the natural logarithm function, or e^x. Shine function

The ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle is known as the sine function.

Cosine Function

The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles.

Absolute Value Function?

A function in algebra with the variable inside the absolute value bars is called an absolute value function.

Greatest integer function

For each real function, the symbol "x" stands for the largest integer function. The function rounds real numbers off to the nearest integer that is less than the input value. The Floor Function is another name for this function.

logistic function

The logistic function is a function that simulates the exponential expansion of a population while also taking into account variables like the carrying capacity of land and other factors.

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By solving a product, we will see that the total number of ring-necked ducks is 16,800.

We know that only 0.14 of the total number of ducks were ring-necked, so if the total number of ducks is D, then the number of ring-necked ducks can be expected to be:

N = 0.14*D

So it is a simple product.

Here we know that there are 120,000 ducks in total, so:

D = 120,000

Replacing that we will get:

N = 0.14*120,000

N = 16,800

There are 16,800 ring-necked ducks.

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Answer: So, there is only a 72/22100 chance of being dealt a pair?

Step-by-step explanation:

If we put the blocks in a line, the possible arrangements are 12600 ways. The factorial of the total blocks is divided by the multiplication of the factorial of each color of the block.

We have

If we put the blocks in a line, determine the possible arrangements!

In that situation, the number of possible arrangements can be calculated by

[tex]Number \: of \: possible \: arrangements = \frac{Total \: blocks!}{Green! \: Red! \: White! \: Black!}[/tex]

So, the possible arrangements would be

[tex]= \frac{10!}{4! \: 3! \: 2! \: 1!}[/tex]

[tex]= \frac{5 \times 6 \times 7 \times 8 \times 9 \times 10}{3! 2!}[/tex]

[tex]= 5 \times 7 \times 8 \times 9 \times 5[/tex]

= 12600 arrangements

Hence, there 12600 possible arrangements to put the blocks in a line.

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The table shows the relationship describe the in the equation is B

In order to determine which table shows the relationship describe the in the equation, we need to find the slope of each table.

Slope is given by Slope = (y2-y1)/(x2-x1)

where (x1, y1) and (x2, y2) are any two corresponding values on the table

For A:

Slope = (16.98-7.99)/(2-1) = 8.99

y=  8.99x

For B:

Slope = (15.98-7.99)/(2-1) = 7.99

y = 7.99x

For C:

Slope = (32.96-7.99)/(4-1) = 8.32

y =  8.32x

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Answer:

see attached.

Step-by-step explanation:

you can calculate tangent using your calculator.

Answer:

a: (9,-9)

Step-by-step explanation:

If the graph of function is V shaped, symmetric about y-axis or any line parallel to y-axis then the graph represents an absolute value function.

We know that an absolute value of any number describes the distance from zero of that a number is on the number line, without considering its sign (negative / positive number).

We know that the graph of the absolute value function is V shaped and symmetric about the y -axis or any line parallel to y-axis.

The graph makes a right angle at the origin.

The graph of absolute value consists of two pieces: one with a negative slope and the one with a positive slope.

Also, vertex is the point at which the graph of absolute value function changes its direction.

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Using the distributive law on  5(3x + 1 + 2)

she would get:                      5(3x) + 5(1) + 5(2)

Can you get this next step?                                Don't do anything but these multiplications!

Use the distributive law on each of these:

16(x + y)  =  16(x) + 16(y)  =                                <--- can you make this look a little simpler?

4(x + 3y)  =  4(x) + 4(3y)  =                                  <--- can you make this look a little simpler?

2(2x + 6y)  =  2(2x) + 2(6y)  =                               <--- can you make this look a little simpler?

(2x + 6y) + (2x + 6y)  

  =  2x + 6y + 2x + 6y

  =  2x + 2x + 6y + 6y                                  <--- can you make this look

   = 4x +12y

    =  4(x+ 3y)

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