Which of the following number lines represents the inequality given below.

Answer:

tourist: 28%

non-tourist: 72%

Step-by-step explanation:

total: 50

tourists: 14

non-tourists:50 - 14 = 36

tourist percentage: 14/50 × 100% = 28%

non-tourist percentage: 36/50 × 100 = 72%

Answer:

option #1 is a reflection over the x-axis.

Step-by-step explanation:

option #1 is a reflection over the horizontal axis, which is the x-axis. the end of the bold horizontal line in the middle of the graph (the one that goes from side to side) is labeled with an "x" which indicates that it's the x-axis.

option #2 is a reflection over the vertical axis, which is the y-axis. the top of the bold vertical line in the middle of the graph (the one that goes up and down) is labeled with a "y" which indicates that it's the y-axis.

option #3 is not a reflection over either of the axes. it actually seems to be a rotation rather than a reflection.

i hope this helps! have a lovely day <3

Answer: First option

Step-by-step explanation:

Answer:

Additive inverse of -11/5 => + 11/5

hope that helps uh..☺

Answer:

If " a " represent any rational number then " a + ( - a ) = 0" or " ( - a ) + a = 0 ". Thus " a " and " - a " are additive inverse of each other. Hence " 11 / 5 " is the additive inverse of " - 11 / 5 " .

Step-by-step explanation:

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Independent Variable: 30 pieces of gum

Dependent Variable: 2 pieces of gum

We predict that independent variables will affect dependent variables. What transpires as a result of the independent variable is known as a dependent variable.

The variable you change or manipulate in an experimental study to examine its effects is known as an independent variable. Because it is unaffected by any other study variables, it is referred to as being "independent."

The variable that alters as a result of the modification of the independent variable is known as a dependent variable. The result that interests you is what you're measuring, and it "depends" on your independent variable.

He has 30 pieces of gum which is the independent, 2 would be the dependent.

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The values of x are 0 and 4 for the given values of y, with y=0.

An equation in mathematics is a claim that two mathematical expressions are equivalent.

An equal symbol (=) separates the left and right sides of an equation, which consists of two sides.

To find all values of x when y = 0, we need to look at the graph of y = -|x - 2| + 2 and find where the graph intersects the x-axis (where y = 0).

Looking at the graph, we can see that there are two points where the graph intersects the x-axis. One is to the left of x = 2, and the other is to the right of x = 2.

To find the value of x for the point to the left of x = 2, we can set y = 0 and solve for x:

0 = -|x - 2| + 2

| x - 2 | = 2

Since the absolute value of x - 2 is 2, either x - 2 = 2 or x - 2 = -2.

By Solving for x in each case-

x - 2 = 2

x = 4

x - 2 = -2

x = 0

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Answer:  blue water: 00

               Yellow water: 000

Step-by-step explanation:

just show how many parts

Answer:

9.42

Step-by-step explanation:

Answer:

2,546 pounds of cat food were purchased in the month of July.

Step-by-step explanation:

The opposite of multiplication is division. So if the amount of dog food is 10 times the amount of cat food, you can divide by 10 to get your answer.

When dividing by tens, you move the decimal place back one place.  

For example:

233 divided by 10=

23.3

When the number ends in zero you can simply remove one zero.

25,460 divided by 10=

2,546

Answer:

b

Step-by-step explanation:

I = Prt  Solve the equation for r

I  =  Prt   Divide both sides by Pt to get r on one side of the equation by itself

Pt      Pt     Cancel the P and t on right side as P/P and t/t = 1

This leaves:    I = r   or r = I

                       Pt                 Pt

The interest rate formula with other known variables is R=I/PT. Therefore, the correct answer is option B.

The given simple interest formula is I=PRT.

Where, P is the principal, r is the interest rate, and t is time.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

To calculate the interest rate:

By rearranging the formula I=PRT, we get

R=I/PT

Therefore, the correct answer is option B.

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Step-by-step explanation:

Step-by-step explanation:

The area of the ENTIRE circle is pi r^2

 diameter is 12 so the radius, r, is  6 inches

   pi r^2 = pi (6^2) = 36 pi   in^2

You want the area of only 90 degrees of this 360 degree circle

 90 / 360 ths of the entire circle area is then

     90 / 360  * 36 pi    in^2     which reduces to 1/4 (36pi)   in^2

Answer:

Step-by-step explanation:

 To find the area of a rectangle in square inches  simply multiply your measurements for length and width to determine the area of your square or rectangular area in square inches. For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.

A) 30.6%

B) 420,500 batteries

A) First, we need to convert the range of number of hours to z-scores, this can be expressed as:

where

µ is the mean value

σ is the standard deviation

If the number of hours is 4120 hours, then the z-score will be;

If the number of hour is 4720 hours, then the z-score wil be;

The equivalent z-score will be;

B) In order to determine the total batteries that will last up to 4600 hours if the there are 500,000 batteries, we will have;

Such that;

Find the required number of batteries

Since 420,500 is less than the calculated, hence the total batteries that will last up to 4600 hours is 420,500 batteries

Answer:

-286

Step-by-step explanation:

45(-6)-16

= -270 - 16

= -286

Step-by-step explanation:

45x - 16

x = -6

45(-6) - 16

-270 - 16

-286

Hope this helps! :)

The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

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Answer:

$7.80

Step-by-step explanation:

Find the unit price by dividing 3.25 by 5.

3.25 ÷ 5 = 0.65

Now that you have the unit price, multiply it by 12 to find the total price of the 12 markers.

0.65 × 12 = 7.80

Thus, 12 of the same markers that Ahmed bought will cost $7.80.

The cost of 12 markers is given by the equation A = $ 7.80

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of markers be n = 5

The cost of 5 markers = $ 3.25

So , the cost of 1 marker = cost of 5 markers / 5

On simplifying the equation , we get

The cost of 1 marker = 3.25 / 5

The cost of 1 marker = $ 0.65

Now , the cost of 12 markers = 12 x cost of 1 marker

Substituting the values in the equation , we get

The cost of 12 markers A = 12 x $ 0.65

The cost of 12 markers A = $ 7.80

Hence , the equation is A = $ 7.80 , where A is the total cost of markers

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Answer:

76 if you add it all together for the f6g

Matching the system off linear equations will give us:

y = 2x - 1 One solution

y = 2x + 1 One solution

y - 4x = -2 One solution

2y - 8x = -4 One solution

y = 3x One solution

y + x = 4 One solution

Based on the system of linear equations provided, we can match them with their corresponding solution types as follows:

System of Linear Equations Solution Type

y = 2x - 1 One solution

y = 2x + 1 One solution

y - 4x = -2 One solution

2y - 8x = -4 One solution

y = 3x One solution

y + x = 4 One solution

Therefore, all of the given systems of linear equations have the solution type of "One solution."

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1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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The percent change in Pilar's shell collection from the beginning of the day to the end is,  22.5%

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Pilar has 40 shells in her collection.

She collects 6 more shells in the morning and 3 more shells in the afternoon.

The percent change in Pilar's shell collection from the beginning of the day to the end = ?

At the beginning of the day, Pilar has 40 shells.

In the morning, she collects 6 more shells, bringing her total to

= 40 + 6

= 46 shells.

Then, in the afternoon, she collects 3 more shells, bringing her total to

=46 + 3

= 49 shells.

To find the percent change in Pilar's shell collection from the beginning of the day to the end, we can use the formula:

percent change = (final value - initial value) / initial value * 100%

Plugging in the values we have:

percent change = (49 - 40) / 40 x 100%

percent change = 9 / 40 x 100%

percent change = 22.5%

Therefore, there is a 22.5% increase in Pilar's shell collection from the beginning of the day to the end.

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Answer:

Ascertain the effectiveness of the treatment

Step-by-step explanation:

A control group is usually used in experimental. Research usually to establish a higher level of assurance or confidence in one's findings. The control group may be explained as that group in an experiment which do not receive the treatment given to the other group or groups, they may also be called the placebo group. Therefore, adding a control group, the treatment groups (Medicine A and Medicine B) would be weighed against the group which does not receive either of the two medicines.

Answer:

A and A that is the answer

Answer:

\(\rm( {a}^{2} - 2ab + {b}^{2} ) \: by \: ( - {a}^{2} b)\)

\( \displaystyle \rm( {a}^{2} \times - {a}^{2} b) - (2ab \times - {a}^{2} b) + ( {b}^{2} \times - {a}^{2} b)\)

\( \rm{ - {a}^{4} b} + {2a}^{3} {b}^{2} - {a}^{2} {b}^{3} \)

Answer:

Step-by-step explanation:

so u divide 28 by 3 and u get 9 but u have 1 left but if you keep dividing u will get 3 so its 9.33 into infinty

The Probability of rolling a 4's is 1/5

What is Probability?

The likelihood of an event happening is determined by probability. Probability is a unit of measurement for the likelihood of an event. It is the proportion between the number of positive outcomes and all possible outcomes. Consider this: Getting the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.

solution:

Probability of rolling of 4

P =  Number of times rolled / Number of total times rolled

P = 20 /100

P = 1 / 5  

Therefore the Probability of rolling a 4's is 1/5.

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Answer:

its rotation

because it just rotate one time

We are given with a sequence, which is a GP (Geometric Progression), as the ratio \({\bf{a_{n+1}:a_{n}}}\) is 1/3 for every \({\bf{n\in \mathbb{N}}}\), so 1/3 is the comman ratio r, and we needa find sum till 6 terms, so n = 6, and first term is 6, so putting all the values we will be having ;

\({:\implies \quad \sf S_{6}=\dfrac{6\bigg\{1-{\bigg(\dfrac13\bigg)}^{6}\bigg\}}{1-\dfrac13}}\)

\({:\implies \quad \sf S_{6}=\dfrac{6\bigg(1-\dfrac{1}{3^{6}}\bigg)}{\dfrac{3-1}{3}}}\)

\({:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\div \dfrac23}\)

\({:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\times \dfrac32}\)

\({:\implies \quad \sf S_{6}=\dfrac{3^{6}-1}{3^{4}}}\)

\({:\implies \quad \sf S_{6}=\dfrac{3^6}{3^4}-\dfrac{1}{3^4}}\)

\({:\implies \quad \sf S_{6}=3^{2}-\dfrac{1}{81}}\)

\({:\implies \quad \sf S_{6}\approx 9-0.012\approx 8.988\approx \boxed{\bf{8.99}}}\)

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

Answer:

18 units

Step-by-step explanation:

Area = length * width (A = L * w)

So, in order to find the length when given the width and area, you have to divide the area by the width.

432 / 24 = 18

I hope this helps! Have a lovely day!! :)