A television is reduced in a sale by 20%. The sale price of the TV is $328, what was the original price of the TV?

Answer:

5*(s+12) = $105

Step-by-step explanation:

5 snacks + 5 tickets makes the total 105 so the equation

5*(s+12) = $105 is the answer to the question.

The value of the perimeter of the right triangle is irrational while the value of the area is rational

Right triangle has one of its angles as 90 degrees.

The sides are 4 units, 5 units and √41 units.

The value of the perimeter and area can be calculated as follows;

perimeter = 4 + 5 + √41 = 9 + √41 units

area = 1 /2 bh = 1 / 2 × 4 × 5 = 10 units²

A Rational Number can be made by dividing an integer by an integer. A rational number is a number that can be in the form x/y where x and y are integers and y is not equal to zero.

Therefore, the perimeter is irrational and the area is rational.

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The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

4 x 5 x 9 x 2 x 2 = 720

Step-by-step explanation:

Multiply 4 and 5 to get 20.

20 x 9 x 2 x 2

Multiply 20 and 9 to get 180.

180 x 2 x 2

Multiply 180 and 2 to get 360.

360 x 2

Multiply 360 and 2 to get 720.

= 720

Hope this helps. =D

Answer:

Step-by-step explanation:

Hope this Helps ;)

Answer:

  multiply the numerators; express that product over the product of the denominators

Step-by-step explanation:

Multiplication of fractions is done the same way regardless of whether the denominators are the same or different.

  \(\dfrac{a}{b}\times\dfrac{c}{d}=\dfrac{ac}{bd}\)

The numerator of the product is the product of the numerators.

The denominator of the product is the product of the denominators.

Starting the formation of groups of four bits at the binary point instead of the left end of the number facilitates conversion between binary and decimal numbers, improves organization and readability, simplifies calculations, and aligns the binary number with its decimal equivalent.

When working with binary numbers, it is more common and practical to start forming groups of four bits at the binary point rather than the left end of the number.

The binary point is the equivalent of the decimal point in a binary number system. Starting at the binary point allows for easier conversion between binary and decimal numbers, as well as better organization and readability of large binary numbers.

Forming groups of four bits at the binary point allows us to convert each group into a decimal equivalent. These decimal values can then be added together to obtain the final decimal representation of the binary number.

By starting at the binary point, we can work with smaller groups of bits at a time, which simplifies calculations and reduces the chances of errors. This approach also enables us to track the place value of each group more efficiently.

Additionally, starting at the binary point helps in aligning the binary number with its decimal equivalent. This alignment is crucial when performing arithmetic operations such as addition, subtraction, multiplication, or division on binary numbers.

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Given information: Expected sales revenue = $57756Target labour cost percentage = 18%To find: How much money can you spend on labour that day? Solution: Let's assume the amount that can be spent on labour is x. According to the question, Target labour cost percentage is 18%.

Therefore, the amount that will be spent on labour cost = 18% of expected sales revenue. So, we can write it as:

x = 18% of expected sales revenue orx

= (18/100) × 57756Simplify it

,x = 10396.08 (rounded to two decimal places)Thus, the amount that can be spent on labour that day is $10,396.08.

Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract.

The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.

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Answer:

sqrt97 ft

Step-by-step explanation:

area of square = length x width

since it's square, the length and width are same,

u can just take sqrt of the area but taking sqrt of something will give a positive and negative value however, it can't be negative as it's length

Answer:

\(b) \sqrt{97}\) ft

Step-by-step explanation:

Since the garden is a square with area of 97 square feet, the lenght of each side is:

\(\sqrt{97}\)

Answer:

s=5

v=2

Step-by-step explanation:

To find the slope of the line given, we write the equation in slope-intercept form:

For the equation,

subtracting 3x from both sides gives

Finally, dividing both sides by 8 gives

which can be rearranged and written as

Hence, the slope of the line parallel to the given line is -3/8.

To find the slope of the perpendicular line, we have to remember that

Since m = -3/8, the above gives

Simplifying the above gives

Hence, the slope of the perpendicular line is 8/3.

Answer:

I need more information, your missing information

Answer:

6

Step-by-step explanation:

36/6=6

Hope this helps <3

Answer:

6

Step-by-step explanation:

The value of k in the equation - k + (k + 1) = 2k is 1/2

In this question, the equation is given as

-k+_(k+1)=2k

To start with, we need to express the equation properly

So, we have the following representation

- k + (k + 1) = 2k

Solving further, we remove the brackets in the above representation

So, we have

- k + k + 1 = 2k

Evaluate the like terms

1 = 2k

Divide both sides by 2

k = 1/2

Hence, the solution is 1/2

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Answer:

Step-by-step explanation:

You need a negative number that looks larger than -200 but, because it is negative is actually smaller than - 200.

x = - 210

x = - 201

================

x = - 120 is actually larger than - 200

x = - 200 is equal to - 200 and the inequality doesn't show that.

x = - 102 is much larger than - 200

Answer:

9

Step-by-step explanation:

First, write the equation.

C(n) = 4 + 3n

We know that C(n) = 31, so we can substitute it.

31 = 4 + 3n

Subtract 4 from both sides to isolate the term with the variable.

27 = 3n

Divide both sides by 3 to get the variable by itself.

9 = n

The value of n such that C(n) = 31 is true is 9

Given the cost in dollars, of a cafeteria meal plan as a function of the number of meals  purchased, n as:

If the cost value C(n) is 31, hence;

31 = 4 + 3n

3n = 31 - 4

3n = 27

n = 27/3

n = 9

Hence the value of n such that C(n) = 31 is true is 9

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The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring, this statement is false.

The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets.

The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets.

The event that both A and B occur is the intersection of the events A occurs and B occurs. As such, it is a subset of each and cannot, therefore, have a larger probability than either one individually.

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Answer:

0.55

Step-by-step explanation:

\(0.95 + 4 \times x = 3.15 \\ 4 \times x = 3.15 - 0.95 \\ 4 \times x = 2.2 \\ x = 0.55\)

The median number of free throws made is 5.5.

To find the median, we first need to arrange the number of free throws made in order from lowest to highest:

3, 4, 5, 5, 5, 6, 6, 7, 8, 9

There are 10 numbers in the list, so the median is the average of the fifth and sixth numbers.

(5 + 6) ÷ 2 = 5.5

Therefore, the median number of free throws made is 5.5.

The median is a measure of central tendency that is used to describe the middle value or values of a dataset. It is especially useful when dealing with datasets that have extreme values or outliers, which can skew the mean.

The median is found by ordering the values in the dataset from lowest to highest and then finding the middle value(s). If there are an even number of values, the median is the average of the two middle values.

In this case, there were an even number of values, so we took the average of the fifth and sixth numbers to find the median.

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Answer:

w + 4

Step-by-step explanation:

The size of angle x is \(61.2^{o\\}\)

Trigonometry is the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

From the diagram,

Using SOHCAHTOA which stands for:

SINE= OPPOSITE SIDE / HYPOTHENUSE SIDE

COS= ADJACENT SIDE/HYPOTHENUSE SIDE

TAN=OPPOSSITE SIDE/ ADJACENT SIDE

By applying the tangent trigonometric ratio

Tangent = Opposite side/ Adjacent side

\(tan(x) = \frac{20}{11} \\\)

\(tan(x) = 1.82\)

To find the size of angle x,

x =  \(tan^{-1}\)(1.82)

x = \(61.2^{o}\)

Using the tangent trigonometry, the size of angle x  is \(61.2^{o}\)

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532-308 is the same as 524-300

The slope of the line passing through the points A(1,0) and B(3,11) is 5.5 as a decimal.

The slope of a line is a measure of how steep the line is and describes the rate at which the line is rising or falling.

It is defined as the change in the y-coordinate (rise) divided by the change in the x-coordinate (run) between two points on the line.

The formula for slope is:

slope = (changes in y)/(change in x).

It is typically denoted by the letter "m".

The slope of the line passing through points A(1,0) and B(3,11) is:

Rise / Run = (Y-Coordinate Change) / (X-Coordinate Change).

= (11-0) / (3-1)

= 11/2

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Answer:

y=-x+13

Step-by-step explanation:

Equation of a line for the given slope and coordinate point is y=-x+13.

Given that, m=-1 and passes through the point (9,4).

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b.

Put m=-1 and (9, 4) in y=mx+b and simplify.

That is, 4=-1(9)+b

⇒ b=13

Substitute m=-1 and b=13 in y=mx+b

We get, y=-x+13

Therefore, equation of a line for the given slope and coordinate point is y=-x+13.

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For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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Answer: the answer is c

Step-by-step explanation:

The graph that represents the solution to the set of the inequality is -13 -14.

The graph that represent the solution to the inequality must contain numbers greater than negative 14.5 (-14.5). These numbers start from -14 to inifinity.

The given inequality; -14.5 < x

The possibles values in the solution of the inequality = -14, - 13, - 12, - 11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0. etc

Therefore, the graph that represents the solution to the set of the inequality is -13 -14.

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Answer:

A

Step-by-step explanation:

The angles formed by the bisector are equal in measure, adjacent, supplementary, form a linear pair, and are congruent.

When a line bisects an angle, it divides the angle into two equal parts. The resulting angles have several properties

They have equal measures: The two angles formed by the bisector have the same degree measurement.

They are adjacent: The two angles share a common side and vertex.

They are supplementary: The sum of the two angles formed by the bisector is 180 degrees.

They form a linear pair: The two angles, together with the adjacent angle on the other side of the bisector, form a straight line or a linear pair.

They are congruent: The two angles formed by the bisector are congruent to each other.

These properties are useful in solving problems involving angle bisectors in geometry.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What are some properties of the angles formed by the bisector?