Joyce paid $220 for an item at the store that was 30 percent of the original price. What was the original price?

we conclude that the true statement is the one in option D:

"Function j is linear and has a constant rate of change".

Remember that a linear function is:

y = a*x + b

Where a is the slope (also called the rate of change) and b is the y-intercept. It is a polynomial of degree 1.

Now, the given function is:

j(x) = x/4.

Notice that we can write this as:

j(x) = (1/4)*x + 0

So this is a linear function, where the rate of change is 1/4, which is constant.

Then we conclude that the true statement is the one in option D:

"Function j is linear and has a constant rate of change".

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Answer:

$1.06 to thousendth is the tax

Step-by-step explanation:

13.30*2/25=Your answer

The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.

In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.

To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:

1(1!)+2(2!) +3(3!) +4(4!) +3(3!)

= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)

= 1 + 4 + 18 + 96 + 18

= 137

Therefore, the value of the summation when m = 3 is 137.

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Given the number lines (attached) the correct one is Option B) because it represents the right placement of values.

A number line is a depiction of a graded straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.

We can tell that option B is correct because:

Thus, option B is correct in the given number line.

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The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

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Answer:

C. 2

Step-by-step explanation:

To solve slope, the formula is \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). 9-3 is 6 and 5-2 is 3. So simplify 6/3 to 2.

Hope it's correct!

The actual length of the bus is given as follows:

45 feet.

The actual length of the bus is obtained applying the proportions in the context of the problem.

The scale drawing is of 0.5 inches to 5 feet, hence the length represented by each inch of drawing is given as follows:

5/0.5 = 10 feet.

The length of the drawing is given as follows:

4.5 inches.

Hence the actual length of the bus is given as follows:

4.5 x 10 = 45 feet.

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Answer: -2, 0, 1, 3

Step-by-step explanation:

when you multiply -7 and -6 by -5 than add 5 you get a higher number than 25.

when you multiply -2, 0, 1 And 3 by -5 than add 5 you get a lower number than 25.

Answer:

B

Step-by-step explanation:

BECAUASE THEY MUST FOLLOW THE SAME CONGURANT ANGLE

The number of reserved seats and the number of general seats, if The cost for general admission = $3.50, The cost for a reserved seat = $7, is 382 and 622 respectively.

The equals sign is used in equations to indicate the equality of two expressions in a formula. Equation: A statement that two variable or integer expressions are equal.

Given:

The cost for general admission = $3.50,

The cost for a reserved seat = $7,

The total cost = $4851.00

The total seat = 1004

Write the equation as shown below,

x + y = 1004  (Here, y is the number of a reserved seat and x is the number of a general seat)

3.5x + 7y = 4851

Solve the equations by using the elimination method,

y = 382, x = 1004 - 382 = 622

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Adjusted gross income minus any allowable tax deductions, describes the taxable income.

The term taxable income refers to any gross income earned that is used to calculate the amount of tax you owe. Put simply, it is your adjusted gross income less any deductions. This includes any wages, tips, salaries, and bonuses from employers. Investment and unearned income are also included.

To determine the taxable income we use :

Taxable Income = Gross Sales – Cost of Goods Sold – Operating Expense – Interest Expense – Tax Deduction/ Credit.

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Answer:

Titanoba can grow up to 50 feet long.

Step-by-step explanation:

The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have

\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)

Therefore, the two roots of the quadratic equation in exact square root form are:

\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)

Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

A quadratic equation is a second-degree polynomial equation in one variable of the form:

\(ax^2 + bx + c = 0\)

where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.

The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.

The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / 2a\)

where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).

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Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

The area of a circle can be found using either of the following formulas:

\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.

\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.

Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

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Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.

A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.

Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.

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Complete question

How can polygons be considered a subcategory of two-dimensional figures?

Answer:

2 -- True

0 -- True

-3 -- True

-4 -- False

-6 -- False

Step-by-step explanation:

When solved the inequality, 3x + 7 > -5, it would turn out to be x > -4

Anything greater than -4 is a solution.

The mean is  2,071,798.33

The Median is 1,485,552

The range is 7,425,310

The standard deviation is given as 1961105.68

Mean = (Sum of all populations) / (Number of cities)

= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12

= 24,861,580 / 12

= 2,071,798.33

To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:

911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817

Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:

Median = (1,423,851 + 1,547,253) / 2

= 1,485,552

The mode isn't applicable here as no city population repeats.

The range is the highest population minus the lowest population:

Range = 8,336,817 - 911,507

= 7,425,310

Standard deviation  =  (911507- 2068548.3333333)² +  (978908 - 2068548.3333333)² + (979576  - 2068548.3333333)²  + ( 1021795 -  2068548.3333333)² +  (1343573- 2068548.3333333)²  +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)²  +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12

= 46151226311869 / 12

=  3845935525989.1

\(standard deviation = \sqrt{ 3845935525989.1}\)

=  1961105.6896529

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9514 1404 393

Answer:

  B) (2, -5)

  D) (3, 0)

Step-by-step explanation:

I find it convenient to let a graphing calculator plot the points and the graph.

The only two points on the graph of the curve are ...

  (2, -5) and (3, 0)

Mrs. Martinez can buy 75 name tags.

From the question, we have

Total cost = $33.00

Each name tag costs = $0.44

∴Number of name tags =Total cost/Each name tag costs

\(=\frac{33.00}{0.44} \\= 75\)

Division:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

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Answer:

sorry i need this for a challenge.

Step-by-step explanation:

Answer: q=13

Step-by-step explanation:

add the separate the q, add 4 to the 9= 13

13=q

The average rate of change over some interval [a, b] is equal to the slope of the secant line from (a, h(a)) to (b, h(b)).

h(t) is a quadratic function, so its graph is a parabola, and in particular it's one that has a minimum of -4 when t = 2.

The secant line over an interval [a, b] will have a negative slope if the distance from a to 2 is larger than the distance from b to 2.

(A) If a = 4 and b = 5, then |a - 2| = 2 and |b - 2| = 3, so the slope and hence average rate of change is positive.

(B) If a = -1 and b = 5, then |a - 2| = 3 and |b - 2| = 3, so this ARoC is zero.

(C) If a = 0 and b = 4, then |a - 2| = 2 and |b - 2| = 2, so this ARoC is also zero.

(D) If a = -1 and b = 4, then |a - 2| = 3 and |b - 2| = 2, so this ARoC is negative.

Answer:

1488 sandwiches in thirty minutes

Step-by-step explanation:

Answer:

x - 5y = -12  or  1x - 5y = -12

Step-by-step explanation:

The standard form is Ax + By = C

Where, if at all possible, A, B, and C are integers, and A is non-negative.  

Given the linear function, \(y - 3 = \frac{1}{5}(x - 3)\), we must transform this equation into its standard form.  

We can start by distributing 1/5 into the terms inside the parenthesis:

Subtract 1/5x on both sides of the equation:

This will result in:

Next, add 3 on both sides of the equation:  

Simplify the like terms on the right-hand side of the equation:

We can eliminate the fractions and turn the coefficient of x (A) into a positive number by multiplying both sides of the equation by -5:

Our linear equation in standard form is:

x - 5y = -12  or 1x - 5y = -12

where A = 1, B = -5, and C = -12  

Answer:

-16

Step-by-step explanation:

If you look at the sequence, you'll notice that each number is two less than the number preceding it

-8 is 2 less than -6

-10 is 2 less than -8

And so on.

-16 is two less than -14, so it is the next number in the sequence.

The amount of fabric used to make the number cube is given as follows:

C. 294 cm².

The amount of fabric used to make the number cube is represented by the surface area of the number cube.

The surface area of a cube of side length a is given by the equation presented as follows:

S = 6a².

The side length for this problem is given as follows:

a = 7 cm.

Hence the surface area of the cube is calculated as follows:

S = 6 x 7²

S = 294 cm².

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