graph: y = |x+2| + 1

The least number of items that can be produced so that the average cost is no more than $24 is 95.

According to the question,

We have the following information:

The function C(x)=−21x+2025 represents the cost to produce x items.

Cost should be no more than $24.

So, we have the following inequality to find the number of items:

-21x+2025 ≤24

Subtracting 2025 from both sides:

-21x≤24-2025

-21x ≤ -2001

Dividing both sides by -21:

x ≤ 2001/21

x ≤95.28

Hence, the least number of items that can be produced so that the average cost is no more than $24 is 95.

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Answer:

18:360 is the correct answer

Step-by-step explanation:

A boy paid $11 for a bottle with a cork. A bottle costs $10 more than a cork. How much does a cork cost?

cork: c

bottle: 10c

c + 10c = 11

11c = 11

c = $1

A cork costs $1

The percentage of people over speeding on this road on purpose is 9%

Percent of people speeding on this road noticed the sign = Percentage of people who notice the speed limit at the beginning of the road - Percentage of people who notice the sign and follow the speed limit

= 84% - 75%

= 9%

In conclusion, the percentage of people who intentionally speed on purpose is 9%

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The length of the square for the 2.25 inches King's height will be 0.75. The correct option is A.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that, a chessboard is made using the ratio of square length to the king's height, 1.5 inches to 4.5 inches. If a chessboard is made with a king's height of 2.25 inches.

The square length will be calculated as,

Square length / Kings Height = 1.5 / 4.5

Square length = (King's height x 1.5 ) / 4.5

Square length = ( 1.5 x 2.25 ) / 4.5

Square length = 0.75 inches

Therefore, the length of the square for the 2.25 inches King's height will be 0.75. The correct option is A.

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Answer:

8 people=24 minutes

Step-by-step explanation:

(1,10)(5,18)=18-10/5-1= 8/4 =2

y-8=2(x-4)

(a) The shape of the distribution of donations is rectangular.

(b) The proportion of donations are at least 75 cents id 0.24

(a)The density curve is rectangular in shape.

This indicates that donations are distributed uniformly.

(b) From the question, we have

The probability of donations at least 75 cents as follows:

[tex]P(X\geq 75) =\int\limits^a_b {\frac{1}{99-0} } \, dx \\[/tex]

Substituting the limits,  we get

[tex]P(X\geq 75) =\frac{99-75}{99} \\=\frac{24}{99} \\=0.24[/tex]

Probability:

Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

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The correct representations of the given inequality -3(2x - 5) < 5(2 - x) include the following:

An inequality simply refers to a mathematical relation that can be used to compare two (2) or more numbers and variables in an algebraic equation, especially based on any of the following inequality symbols:

For this exercise, we would evaluate and simplify the given inequality so as to enable use determine its solution as follows:

-3(2x - 5) < 5(2 - x)

Opening the bracket, we have:

-6x + 15 < 10 - 5x (correct representation)

Rearranging the algebraic equation by collecting terms, we have:

-6x + 5x < 10 - 15

-x > -5

x > 5 (correct representation)

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Answer:

Mediterranean Paradise has 30 fewer deluxe staterooms than three times the number of deluxe staterooms on the

Pacific Paradise.

Step-by-step explanation:

The formula to find the measure of an interior angle of a hexagon is [(n - 2)×180]/n. Hence, option C is correct.

In geometry, a polygon is any enclosed curve made up of a collection of continuous line segments (sides) without any intersections.

Triangles (three sides), polyhedral (four sides), and pentagons are the three simplest polygons (five sides). Convex polygons are those in which none of the elongated sides overlap the polygon; concave polygons are those in which they do.

Equilateral refers to a polygon with equal angles. Equiangular shapes have equal internal angles on all sides. Regular polygons are any equilateral and equiangular polygons.

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The solution of the system equation is C) There is no solution

What is system equation?

  A set of one or more equations comprising numerous variables is referred to as a system of equations. The variable mappings that satisfy all of the component equations in a system of equations, or the points where the components of this system of equations intersect, are the solutions to that system. A system of equations in algebra is made up of two or more equations that are solved together. the process of eliminating, substituting, and graphing solutions to a system of equations or inequalities in two variables

Here the given equations are ,

=> y+7=3x-------> 1

=> y = 3x-7 ------> 2

and 6x-2y =12------> 3

Now put value of 2 into 3 then,

=> 6x-2(3x-7)=12

=> 6x-6x+14=12

=>14=12

The statement is false for any real number.

Therefore the correct option for the given system equation  is C) There is no solution.

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Step-by-step explanation:

i marked where to put them

The given algebraic expression can be simplified as 6+9i.

A complex number is represented by the following form: a+bi, where a and b are real numbers.  The variables: a is the real part and bi imaginary part. See an example: 7 + 14i , then:

Regarding operations math, the same properties used for real numbers can be applied to complex numbers. And for solving the operations math with these numbers, it is important to know that i²= -1. Thus, 2i² = 2*(-1)= -2.

When you subtract or sum complex numbers, you can only subtract or sum: the real part with the real part of each complex number and the imaginary part with the imaginary part of each complex number. Here, you can see examples:

(5 + 2i) + (5 + 2i) = 10+4i

(4 + 9i) - (1 + 5i) = 1+4i

Therefore, the result for the  6 + √− 81 will be:

6+  √81i²

6+9i

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Answer:  C.  174 + 10x - 6x = 102 + 10x

Each school give 12 correct answers

Step-by-step explanation:

174 + 10x - 6x = 102 + 10x

x =  number of correct answers AND,

x = number of incorrect answers

Solve for x:

174 - 102 = 10x + 6x -10x

72 = 6x

x = 12

Each school give 12 correct answers

By using division, it is obtained that

The Quotient of 8 and cube of 2 is 1

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division.

Divisor x Quotient + Remainder = Dividend.

Let the number be 2

cube of 2 = [tex]2^3 = 8[/tex]

Quotient of 8 and 8 = [tex]\frac{8}{8}[/tex] = 1

The Quotient of 8 and cube of 2 is 1

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The exponential function that can model the amount of medication in Austin's body, y, x hours is of: [tex]y = 180(0.9)^x[/tex]

The definition of the exponential function is presented as follows:

[tex]y = a(b)^x[/tex]

The parameters a and b are listed as follows:

a is the amount when x = 0.

b is the rate of change.

Given that the initial dose was of 180 micrograms, hence the parameter a is;

a = 180.

After one hour, the concentration was of 162 micrograms, hence the parameter b is;

b = 162/180 = 0.9.

Hence the equation is:

[tex]y = 180(0.9)^x[/tex]

After six hours, the concentration is given as;

[tex]y = 180(0.9)^6[/tex]= 96 micrograms.

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The factoring is the representation of a polynomial in multiplication term thus the factoring of (1/3)b - 1/3 will be 1/3(b - 1).

An algebraic factor is the multiplication of two algebraic terms.

That term could be in form of summation multiplication or in subtraction.

The root of the quadratic equation formed by the algebraic factor is always real.

As per the given polygon,(1/3)b - 1/3

Take 1/3 as common in the whole polygon,

1/3(b - 1).

Since the terms 1/3 and (b - 1) both are in the multiplication of each other.

Hence "The factoring is the representation of a polynomial in multiplication term thus the factoring of (1/3)b - 1/3 will be 1/3(b - 1)".

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According to the solving the Angle m = 124

An angle with something like a vertex point at 180 degrees is considered to be a straight angle in geometry. Basically, it produces a straight line with sides that are turned away from the vertex. "Flat angles" is another term for it.

A straight line appears to have a straight angle. Here's an illustration of a straight angle. a straight line that has a half circle in the middle and at the top to symbolize a straight angle.

The sum of all angles in triangle  = 180.

Angle A = 56

Angle B = 68

Angle C =

A + B + C = 180

56 + 68 + C = 180

124 + C = 180

C = 180 - 124

C = 56

if Angle C = 56

so we know the property of straight angle:

= Angle m + 56 = 180

Angle m = 180 - 56

Angle m = 124

According to the solving the Angle m = 124

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Answer:

450

Step-by-step explanation:

You can easily calculate 337.5 is 75 percent of what number by using any regular calculator, simply enter 337.5 × 100 ÷ 75 and you will get your answer which is 450

The possible pair of null and alternative hypotheses for this experiment is   "The null hypothesis is that the flu infection rate has no impact on the number of students absent from school.

The alternative hypothesis is that as the flu infection rate increases, the number of students absent from school also increases."

Hypotheses

Hypotheses refers the testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

Given,

A group of elementary school students designed a study to find a possible relationship between the number of students absent from school and the overall rate of flu infections in their town.

Here we need to find the correct pairing of possible null and alternative hypotheses for this experiment.

Here the given situation is relationship between  the number of students absent from school and the overall rate of flu infections in their town.

So, the null hypotheses of this relation is flu infection rate has no impact on the number of students absent from school

And the alternative hypotheses of the relation is defines that the flu infection rate increases, the number of students absent from school also increases.

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Answer:

Step-by-step explanation:

The null hypothesis is that the flu infection rate has no impact on the number of students absent from school.

The alternative hypothesis is that as the flu infection rate increases, the number of students absent from school also increases.

Answer:

Step-by-step explanation:

1. Basic systems in fluids: 1 pound equals 16 ounces.

2. Multiply 16 ounces by 5 to become equivalent!

16 ounces*5= 80 ounces!

3. Always double check

80 ounces/16=5 pounds

Answer: 80 ounces

The value of y in the equation in term of x is y= (1-8x)/(3)

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. For example, 8x = 1-3y is an algebraic equation with two variables x and y with coefficient 8 and 3 respectively and 1 is the constant.

The value of y can there be solved by firstly making 3y the subject of formula

3y= 1-8x

dividing both sides by 3

3y/3= (1-8x)/3

therefore y= (1-8x)/(3)

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Step-by-step explanation:

9)=

By the question:-

x + y = 130-i

x - y = 34-ii

Now,

Add i and ii,

x + y + x -y = 164

or, 2x = 164

so, x = 82

Now,

x -y = 34

or, 82 - y = 34

so, y = 48

The numbers are 82 and 48.

10) =

Let adults ticket be x and childs ticket be y.

x + y = 800

x = 800 - y - eqn i

4.5x + 6y = 4500

Substituting x's value from eqn i,

4.5(800-y) + 6y = 4500

or, 3600 - 4.5y + 6y = 4500

or, 1.5y = 900

so, y = 600

Now,

x + y = 800

or, x + 600 = 800

so, x = 200

Hence, 600 adult tickets were sold and 200 child tickets were sold.

11)=

Let cost of one small box be x and one medium box be y.

So,

4x + 2y = 54-eqn i

x + 2y = 33-eqn ii

subtracting eqn i from ii,

x + 2y - 4x - 2y = - 21

or, -3x = - 21

so, x = 7

Now,

x + 2y = 33

or, 2y = 33 - 7

or, y = 26/2

so, y = 13

So, cost of one small box is $7 and medium box is $13.

Answer: 0.3278

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