Thoriso can either walk to school at 5 km/h or ride her bicycle at 15 km/h. If she rides her bicycle, it takes her 10 minutes to get to school. how long will it take her if she walks to school​

"Karen wants to buy a new smartphone that costs $46. She currently has some money saved up, represented by the expression 6x - 4, where x is the number of weeks she has been saving. Can Karen buy the smartphone now, or does she need to save for more weeks? Use the inequality 6x - 4 < 46 to help you answer the question."

In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Algebraic expressions are used to represent and solve problems in various areas, including science, engineering, economics, and mathematics.

An algebraic expression can contain one or more variables, which represent unknown or changing quantities, and one or more constants, which represent fixed values. The variables are usually represented by letters, such as x, y, or z. The operations of addition, subtraction, multiplication, and division are represented by the symbols +, -, ×, and ÷, respectively. Parentheses are also used to group terms and indicate the order of operations.

For example, the algebraic expression 3x + 2y - 5 represents a combination of two variables, x and y, and three constants, 3, 2, and 5. The terms 3x and 2y are the variables multiplied by their coefficients, while -5 is a constant term.

Algebraic expressions can be simplified by combining like terms, which are terms that have the same variable raised to the same power. For example, in the expression 3x + 2y - 5 + 4x - 3y, the like terms are 3x and 4x, and 2y and -3y. Combining these terms yields the simplified expression 7x - y - 5.

Algebraic expressions are used in various mathematical operations, such as solving equations, graphing functions, and evaluating formulas. They are also used in real-world applications, such as calculating interest rates, solving optimization problems, and modeling physical phenomena.

Sure, here's a word problem that fits the inequality 6x - 4 < 46:

"Karen wants to buy a new smartphone that costs $46. She currently has some money saved up, represented by the expression 6x - 4, where x is the number of weeks she has been saving. Can Karen buy the smartphone now, or does she need to save for more weeks? Use the inequality 6x - 4 < 46 to help you answer the question."

To know more about expression visit:

brainly.com/question/24242989

#SPJ1

Answer and Step-by-step explanation:

To write the quadratic equation, we need to find the values of a, b, and c in the general form of a quadratic equation:

y = ax^2 + bx + c

Using the given data, we can plug in the x- and y-values to get a system of equations:

-12 = 16a - 4b + c

-5 = 9a - 3b + c

0 = 4a - 2b + c

We can solve this system of equations using substitution or elimination to get:

a = -1

b = 3

c = 4

Substituting these values into the general form of the quadratic equation, we get:

y = -x^2 + 3x + 4

Therefore, the quadratic equation from the table is:

y = -x^2 + 3x + 4

A negative relationship exists when two connected variables move in opposite directions. As a result, Option A is right which has a downward slope and variables that are negatively correlated.

An inverse correlation, sometimes referred to as negative correlation, is a relationship between two variables in which, when one variable's value is high, the other variable's value is likely low.

For instance, with the variables A and B, when A is high, B is low, and when A is low, B is high. In statistical nomenclature, an inverse correlation is frequently expressed by the correlation coefficient "r," which has a value between -1 and 0, with r = -1 signifying complete inverse correlation.

Visit here to learn more about the coefficient: https://brainly.com/question/30066987

#SPJ4

So, the product of two irrational numbers may be rational or irrational, depending on the specific irrational numbers being multiplied.

A real number is said to be irrational if it cannot be expressed as the quotient of two integers, p/q, where p and q are both integers. The square root of two, for example, cannot be stated as an integer or a fraction.

No, that statement is not always correct.

In general, the product of two irrational numbers is not necessarily irrational. For example, consider the square roots of 2 and 8:

sqrt(2) * sqrt(8) = sqrt(2) * 2 * sqrt(2) = 2 * 2 = 4,

which is a rational number.

However, there are some cases where the product of two irrational numbers is irrational. For example, the product of the square root of 2 and the square root of 3 is irrational:

sqrt(2) * sqrt(3) = sqrt(6),

which is irrational.

So, the product of two irrational numbers may be rational or irrational, depending on the specific irrational numbers being multiplied.

To know more about  irrational numbers visit:

https://brainly.com/question/29009803

#SPJ1

A liter contains roughly 33.814 liquid ounces.

Liter and ounces are used to measure the volume.

There are around 33.814 fluid ounces in a liter when converting between fluid ounces and liters. So, we increase the amount of liters by 33.814 to convert from liters to fluid ounces.

For instance, 2 liters would be converted to 67.628 fluid ounces using the formula 2 x 33.814.

It's crucial to remember that while the ratio of fluid ounces to liters is not precise, it offers a good estimate for the majority of common uses.

To know more about unit conversion, visit,

https://brainly.com/question/13016491

#SPJ4

We can convert the unit  Nm to ft-lbs by using the formula 1Nm = 0.71 Lbs-ft.

We are provided with the unit Nm that means Newton meter.

we have to covert it into Lbs - ft.

Now, we know, from the standard conversion rates that one newton is equal to 0.2 lbs and one meter is roughly equal to 3.2 feet.

So, if we want to do the unit conversion, we should write,

= Lbs-ft

= 0.2 Lbs(3.2)ft

1Nm = 0.71 Lbs-ft.

Now, the above mentioned relation is our formula for the conversion of the two unit.

So, now we can write that, 1 Nm(Newton - meter) is equal to 0.71 Lbs-ft.

To know more about unit conversion, visit,

https://brainly.com/question/97386

#SPJ4

The measure of angle of a, b, and c are a = 90, b = 9- and c = 60 degrees

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

The figure

The angle at the circumference in a semicircle is 90°

This means that

a = b = 90 degrees

Also, we have

Angle c and angle with a measure of 60 degrees are equal

This means that

Angle c = 60 degrees

Hence, the measure of the angles are a = 90, b = 9- and c = 60 degrees

Read more about angles

https://brainly.com/question/1673457

#SPJ1

In a post office, the mailboxes are numbered from 1 to 4,500. These numbers represent categorical data. The Option A is correct.

Categorical data refers to collection of data that is organized into categories. For instance, the data obtained when an organization or agency tries to collect the biodata of its employees is referred to as categorical data. Because the variables in the biodata, like sex, state of residence, etc., can be used to categorize the data, it is known as categorical data.

It is also regarded as a type of data that can be categorized or grouped using names or labels. Through a process known as matching, this grouping is typically created in accordance with the data characteristics and similarities of these characteristics.

Read more about categorical data

brainly.com/question/30458946

#SPJ1

Answer:

9.5 in

Step-by-step explanation:

in order to calculate the area of the triangle, you are required to times the base with height and divide it by 2.

For this instance, 6.8 in X (unknown base) / 2 = 32.30

So what you need to do is times the 32.3 by 2 to get 64.6

Then divide the 64.6 by 6.8 to get the base

WHICH GETS YOU 9.5

hope this helps

Using distributive property, the expression 55x+5 can be written as 5(11x+1).

Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.

Expression           Property         Equivalent expression

3(2+x)                 Distributive                  6+3x

2+(3+4)              Associative                  (2+3)+4

24x+18y             Distributive                 8(3x+y)

4x+5x                Commutative              5x+4x

5+2+3               Commutative               3+2+5

(5x.3y).2           Associative                  5x.(3y.2)

12-3x                Distributive                   3(4-x)

6+3                  Commutative                 3+6

(2x.3y).5z         Associative                  2x(3y.5z)

4(5-2y)             Distributive                   20-8y

y+0                  Identity                             y

a.b                  Commutative                   b.a

3x.1                  Identity                            3x

(a+b)+c           Associative                   a+(b+c)

55x+5            Distributive                   5(11x+1)

8(y-2)             Distributive                    8y-16

2x+5y             Commutative                5y+2x

Therefore, using distributive property, the expression 55x+5 can be written as 5(11x+1).

To learn more about the equivalent equation visit:

https://brainly.com/question/28263804.

#SPJ1

By the current exchange rate for Japanese Yen to US Dollar , 1500 Yen is equivalent to 11.187  USD .

In order to convert 1500 YEN to USD, we need the current exchange rate between the "Japanese Yen" and the "US Dollar" .

The exchange rate varies constantly due to fluctuations in the global financial markets ,

According to the current exchange rate of 1 US Dollar = 134.08 Japanese Yen  ,

We convert 1500 yen to USD by dividing 1500 by 134.08  ;

⇒ 1500/134.08 = 11.187 USD ;

Therefore, 1500 Japanese yen is approximately equal to 11.187 US Dollars .

Learn more about Japanese Yen here

https://brainly.com/question/5216894

#SPJ4

Answer:

Therefore, adding 10 to the numerator is the better option if we want to increase the value of 46/224.

Step-by-step explanation:

To find which option will give a larger final number, we should calculate both the possibilities and compare them ,

Firstly,add 10 to the numerator

Now,

The new rational number will be,

(46 + 10) / 224

= 56 / 224

= 7 / 28

2ndly,

Add 10 to the denominator

The new rational number will be,

46 / (224 + 10)

= 46 / 234

After comparing these two rational numbers and converting them to decimals or simplify them ,

7 / 28

= 0.25

46 / 234

= 0.196581...

Since 0.25 is larger than 0.196581...,

Now,adding 10 to the numerator will result in a larger final number.

Therefore, adding 10 to the numerator is the better option if we want to increase the value of 46/224.

A statistical package is likely to be used with quantitative research but not with qualitative research - True.

The collection and analysis of numerical data, such as survey responses or experimental measurements, is common in quantitative research, and statistical analysis is frequently used to summarise and interpret this data. In quantitative research, statistical software such as SPSS, R, or Stata are widely used to do data analysis and statistical tests.

In contrast, qualitative research often entails gathering and interpreting non-numerical data, such as interview transcripts or observational notes. Although statistical analysis may not be suited for this type of data, several software packages, such as NVivo, MAXQDA, or ATLAS.ti, can be used to manage and analyse qualitative data.

For such more question on statistical:

https://brainly.com/question/30636235

#SPJ4

Once data has been collected through Qualtrics, it can be downloaded in a variety of formats, including a CSV file that can be imported into SPSS for data analysis.

Qualtrics is a popular web-based survey tool used to create and distribute online surveys.

To import Qualtrics data into SPSS, follow these steps:

Open SPSS and create a new data file.

Go to "File" > "Import Data" > "CSV File" and browse to find the Qualtrics data file you want to import.

In the import wizard, select the CSV file and choose the appropriate options for handling missing values and delimiters.

Specify the variable properties, including the variable name, label, and measurement level.

Click "Finish" to complete the import process.

Once the data has been imported into SPSS, you can use various statistical analyses to explore the relationships between variables, test hypotheses, and generate charts and tables to summarize the data.

The exact analysis methods used will depend on the research questions and the nature of the data, but common techniques include descriptive statistics, correlations, regression analysis, and factor analysis.

To learn more about analysis click on,

https://brainly.com/question/18233448

#SPJ4

A probability model gives information about the likelihood of different outcomes of a random event or experiment.

A probability model is a mathematical tool used to describe the likelihood of different outcomes in a random event or experiment. It provides information about the distribution of probabilities associated with the different possible outcomes, and can be used to make predictions about the likelihood of specific events occurring.

Probability models can be simple or complex, depending on the nature of the event or experiment being modeled, and can be used to make predictions in a wide range of fields, from finance to physics. By providing a framework for understanding the distribution of probabilities associated with different outcomes, probability models allow us to make informed decisions and assess risk in a variety of contexts.

Learn more about probability model:

https://brainly.com/question/30214207

#SPJ4

The function family based on the information is a linear function.

A linear function is a type of mathematical function that has the form:

f(x) = ax + b

where a and b are constants, and x is a variable. The variable x is often called the independent variable, and the variable f(x) is called the dependent variable.

The value of a determines the slope of the line, while the value of b determines the intercept of the line with the y-axis. The slope of the line represents the rate of change of the dependent variable with respect to the independent variable, and the intercept represents the value of the dependent variable when the independent variable is zero.

Learn more about functions on:

https://brainly.com/question/2248255

#SPJ1

On converting the weight , 151 lbs is equivalent to  68.492 Kilogram .

The Units of measuring weight are used to measure the mass or heaviness of an object. There are several units of measuring weight such as : Kilogram (kg) , Gram (g) , Pound (lb) .

We have to convert the weight 151 pounds (lbs) to kilograms (kg),

We use the conversion factor of 0.45359237 kg per pound.

We multiply the number of pounds by conversion factor to get the equivalent weight in kilograms.

By using this method, we get ;

⇒ 151 lbs × 0.45359237 kg/lb = 68.492 kg ;

Therefore, 151 pounds is equal to  68.492 Kilograms .

Learn more about Pounds here

https://brainly.com/question/30395892

#SPJ4

Mr. Jericho needs to teach his students how to make change. Vygotsky would recommend that he set up a pretend shop and have all of the students act as cashiers in it.

One of the four methods of teaching is the interactive or participative method of teaching. In this method, students are taught certain stuff with the use of hands-on techniques. These include acting out whatever is being taught so that students have a better view of whatever is happening around them.

This method is quite useful and this is exactly what Vygotsky suggested for the students in the class in the very first place.

Learn more about methods of teaching on

https://brainly.com/question/14569242?referrer=searchResults

#SPJ4

Answer: The answer will be 8^2

Step-by-step explanation: We know,

4^3 = 4*4*4 = 64 which is also equivalent to next in series 4*4 =8 and 3-1 =2

i.e. 8^2= 64

Internal Links: https://brainly.in/app/ask?q=fill+in+the+blanks+1%2F4%3D2%2F_%3D3%2F_%3D_%2F16%3D_%2F64%E2%80%8B&skip=8782797&source=answer-box

Answer:

Measuring Spoon

Step-by-step explanation:

The tool you would use is a measuring spoon.

Answer:

Measuring spoon

Step-by-step explanation:

Answer:

A + B must lie between 90 and 450 degrees.

Explanation:

Since sin A and cos B are both negative, A and B must lie in the third quadrant or the fourth quadrant. In the third quadrant, sin A and cos B are both negative, while in the fourth quadrant, sin A is negative and cos B is positive.

Let's consider the case where A and B are both in the third quadrant. In this case, both A and B are between 180 and 270 degrees. Since A + B is the sum of two angles in this range, it follows that A + B must be between 360 and 450 degrees.

Now let's consider the case where A is in the fourth quadrant and B is in the third quadrant. In this case, A is between 270 and 360 degrees, while B is between 180 and 270 degrees. Since sin A is negative and cos B is positive, it follows that cos A and sin B are both negative. Using the identities sin(180 - x) = sin x and cos(180 - x) = -cos x, we can write:

sin A + cos B = sin(180 - (180 - A) - B) + cos(180 - (180 - A) - B)

= sin(180 - A) - cos(180 - B)

= -sin A - cos B

Therefore, A + B is the difference of two angles in the third quadrant, and it must be between 90 and 180 degrees.

Putting the two cases together, we see that A + B must lie between 90 and 450 degrees.

Answer:

1) Put equation or function in y= form.

2) Multiply out (expand) any factored polynomials in the numerator or denominator.

3) Remove everything except the terms with the biggest exponents of x found in the numerator and denominator. These are the "dominant" terms.

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=3\\ \theta =300 \end{cases}\implies s=\cfrac{(300)\pi (3)}{180}\implies s=5\pi \implies s\approx 15.71~mm[/tex]

Answer:

To convert GB to MB multiply the value of a GB by 1000 to get mb.

1gb x 1000 equals 1000 mb

Answer:

x = 39

Step-by-step explanation:

We need to solve for the interior angle measure. The sum of a triangle's interior angle measures are 180, so we just have to create an equation and solve for x.

[tex]x+102+39=180[/tex]

Add like terms

[tex]x+141=180[/tex]

Subtract 141 on both sides

[tex]x=39[/tex]

To check our work, we can add the angle measures together to see if they add up to 180.

[tex]39+102+39 = 180[/tex]

The correct answer to this question is option D: (0.60 minus 0.70) plus-or-minus 1.96 StartRoot StartFraction 0.60 (1 minus 0.60) Over 50 EndFraction + StartFraction 0.70 (1 minus 0.70) Over 50 EndFraction EndRoot.

To find the 95% confidence interval for the difference in proportions of patients experiencing stress relief from the yoga and meditation groups, we need to use the formula:

CI = (p1 - p2) ± z*√[(p1(1-p1)/n1) + (p2(1-p2)/n2)]

Where p1 and p2 are the proportions of patients experiencing stress relief in the yoga and meditation groups, respectively, n1 and n2 are the sample sizes of the yoga and meditation groups, respectively, and z is the critical value from the z-table corresponding to the 95% confidence level.

Plugging in the given values:

p1 = 30/50 = 0.60
p2 = 35/50 = 0.70
n1 = 50
n2 = 50
z = 1.96 (from the z-table for a 95% confidence level)

CI = (0.60 - 0.70) ± 1.96*√[(0.60(1-0.60)/50) + (0.70(1-0.70)/50)]
CI = (-0.10) ± 1.96*√[(0.24/50) + (0.21/50)]
CI = (-0.10) ± 1.96*√[0.009]
CI = (-0.10) ± 1.96*(0.095)
CI = (-0.10) ± 0.186

Therefore, the 95% confidence interval for the difference in proportions of patients experiencing stress relief from the yoga and meditation groups is (-0.286, 0.086).

https://brainly.com/question/6096474

#SPJ1

The original price of the article without the discount is %60.

Discount is the state of having a bond's price lower than its face value. The difference between the purchase price and the item's par value is the discount.

Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods.

Let us suppose original price = x.

Given that, after a discount, the marked price of an article is 48$ and the discount is 20%.

Thus,

48 = x(1 - 20/100)

48 = x(80/100)

x = 60

Hence, the original price of the article without the discount is %60.

Learn more about percentage here:

https://brainly.com/question/14695543

#SPJ1

The particle is speeding up after 1.67 seconds.

What is displacement ?

In physics, displacement refers to the distance and direction of an object's change in position from its starting point to its ending point. It is a vector quantity, which means that it has both magnitude and direction.

Displacement is different from distance, which is the total length of the path an object has traveled, regardless of direction. Displacement only considers the straight-line distance and direction between the starting and ending points.

According to given conditions :

To determine when the particle is speeding up, we need to find the acceleration of the particle.

The acceleration of the particle is given by the second derivative of its position function:

a(t) = s''(t) = 6t - 10

The particle is speeding up when its acceleration is positive. So, we need to find the values of t for which a(t) > 0.

Setting a(t) > 0, we have:

6t - 10 > 0

6t > 10

t > 10/6

t > 1.67

Since t ≥ 0, the particle is speeding up when t > 1.67.

Therefore, the particle is speeding up after 1.67 seconds.

To know more about displacement visit :

https://brainly.com/question/321442
#SPJ1

Answer:

  C.  4x²√(3x)

Step-by-step explanation:

You want to simplify √(48x⁵).

Square root expressions can be simplified by removing perfect squares from under the radical:

  [tex]\sqrt{48x^5}=\sqrt{16x^4\cdot3x}=\sqrt{(4x^2)^2}\cdot\sqrt{3x}=\boxed{4x^2\sqrt{3x}}[/tex]

The two vectors are indeed considered linearly dependent if they are collinear. So the given statement is true about two linear dependent vectors.

The set [tex]\{v_1, v_2,.....,v_k\}[/tex] is considered as linearly dependent if numbers [tex]\{x_1, x_2, ....,x_k\}[/tex]are not equal to zero. Then, [tex]x_1v_1+x_2v_2+.....+x_kv_k=0[/tex]. This equation is referred to as the equation of linear dependence or linear dependence relation.

When two vectors are collinear, or when one is a scalar multiple of the other, they are said to be linearly dependent. These collinear vectors are also referred to as parallel vectors and these vectors will lie along the same line or parallel line. The given statement is therefore true.

To know more about collinear vectors:

https://brainly.com/question/28014210

#SPJ4