A green grocer has 180 mangoes to sell. She has to arrange them in piles of 9, 10 or 12mangoes.
In which ways would she arrange the mangoes without any remaining?​

Answer:

1.6 is how much each person gets

hope this will helpful to you

The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."

According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.

The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:

Sum = (n/2)(first term + last term)

In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:

Sum = (7/2)(x + (x + 6))

Simplifying the equation:

(7/2)(2x + 6) = (21/4)(x + 6)

Multiplying both sides by 4 to eliminate the fractions:

14x + 42 = 21x + 126

Subtracting 14x from both sides:

42 = 7x + 126

Subtracting 126 from both sides:

-84 = 7x

Dividing both sides by 7:

-12 = x.

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Answer:

Step-by-step explanation:

\(p(\overline{X}-\sigma \leq X \leq \overline{X}+\sigma)\\\\=p(\dfrac{\overline{X}-\sigma -\overline{X} }{\sigma} \leq Z \leq \dfrac{\overline{X}+\sigma -\overline{X} }{\sigma} )\\\\=p ( -1 \leq Z \leq 1)\\\\=2*(\ p (Z \leq 1)-0.5)\\\\=2*(0.8413-0.5)\\\\=0.6826\\\\\approx{68\%}\)

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

lowest x is -1 ant farthest is 4.

Answer:

c = 72

Step-by-step explanation:  

8        

        x   ___c__     =   9  x   8

                   8

c = 72

Hi there! Hopefully this helps!

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\(\frac{c}{8} = 9\)

Multiply both sides by 8.

\(c = 9 \times 8\)

Natalie's toy rocket launch is represented by a graph that depicts the height of the rocket, denoted as "h," in feet at various time intervals, represented by "t" in seconds.

The graph provides a visual representation of how the rocket's height changes over time during its flight.

The vertical axis of the graph represents the height of the rocket in feet, while the horizontal axis represents time in seconds.

As time progresses, the rocket's height changes and this change is reflected in the graph's shape and slope.

The graph may exhibit different characteristics, such as an initial steep ascent, followed by a slower increase in height as the rocket reaches its peak altitude.

After reaching the maximum height, the graph may show a decline in the rocket's height as it descends back to the ground.

The specific shape and features of the graph will depend on factors such as the rocket's propulsion, gravitational forces acting on it, and any external factors affecting its flight.

By analyzing the graph, one can observe and interpret key information about the rocket's flight, such as the time it takes to reach maximum height, the maximum height attained and the duration of the overall flight.

The graph helps to visualize the rocket's trajectory, providing valuable insights into its performance and behavior throughout the launch process.

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Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

Experimental probability refers to the likelihood of an event occurring based on actual experimental results. If a group of students in a communications course is required to start a blog on a topic of their choice, and many have already begun blogging, and the three categories are: pop culture, literature, and business.

The following details and explanation help to find the probability of the blog being about pop culture, which is a topic of the group's choice.There are three categories, including pop culture, literature, and business.

The next blog will be about pop culture. That is, there is one successful result, which is the number of blogs that have been written about pop culture so far.

There is a total of five blogs written on pop culture, literature, and business. Hence, the experimental probability of the next blog being about pop culture can be obtained as follows:The experimental probability formula is:P(event) = number of successful outcomes ÷ total number of possible outcomesTherefore, P(event) = 5 ÷ 10= 1/2= 0.5 (as a decimal)

Therefore, the experimental probability that the next blog started will be about pop culture is 0.5, which is the chance that the blog will be about pop culture based on actual experimental results. This means that there is a 50% chance that the next blog started will be about pop culture.

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Step-by-step explanation:

For 18:

\( {10}^{2} + {y}^{2} = {26}^{2} \\ 100 + {y}^{2} = 676 \\ {y}^{2} = 676 - 100 \\ {y}^{2} = 576 \\ y = \sqrt{576} \\ y = 24 \: in\)

For 19

\( {10}^{2} + {( \frac{15}{2}) }^{2} = {c}^{2} \\ 100 + \frac{225}{4} = {c}^{2} \\ \frac{625}{4} = {c}^{2} \\ c = \sqrt{ \frac{625}{4} } \\ c = \frac{25}{2} \\ c = 12.5 \: m\)

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

From the graph, the x coordinate 2, have a y coordinate of 120. Hence:

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

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Answer: 3.499 now 3.079 is correct

The volume of the cone is approximately 65.45 cubic inches.

What is volume ?

Volume is a measure of the amount of space occupied by a three-dimensional object. It is a fundamental concept in mathematics and physics, and is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic inches. The volume of an object can be determined by multiplying its length, width, and height, or by using a formula that is specific to the shape of the object. For example, the volume of a rectangular solid is given by V = lwh, where l, w, and h are the length, width, and height of the solid, respectively, while the volume of a sphere is given by V = (4/3)πr³h, where r is the radius of the sphere.

To calculate the volume of a cone, we need to use the formula V = (1/3)πr²h, where V is the volume, r is the radius of the base, h is the height of the cone, and π is the mathematical constant pi, approximately equal to 3.14.

From the problem statement, we know that the radius of the cone's circular base is 2.5 inches, so r = 2.5. We also know that the height of the cone is twice the base's diameter. Since the diameter of a circle is twice its radius, the diameter of the base is 2r = 5, and the height is 2(2r) = 4r = 10.

Substituting these values into the formula, we get:

V = (1/3)πr²h

V = (1/3)π(2.5)²(10)

V ≈ 65.45 cubic inches

Therefore, the volume of the cone is approximately 65.45 cubic inches.

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Answer:

556 feet

Step-by-step explanation:

What you have to do to get the answer is find out what 10^4 is, and then multiply that by 2.78. After that, you just need to divide it by 50.

10^4 = 10,000

2.78 × 10,000 = 27,800

27,800 ÷ 50 = 556

Answer:

556

Step-by-step explanation:

The equivalent expression to  4√3 is  √48 or 6.928.

An equivalent expression is an expression that has equal value to the original given expression.

From the given expression, we can determine its equivalent expression as follows;

The given expression = 4√3

We can square 4 and multiply it by 3 and enclose all with the square root.

4√3 = √(4² x 3 )

= √ ( 16 x 3 )

= √ ( 48 )

= 6.928

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Answer:

Step-by-step explanation:

Okay, so you need to create an equation which shows that twice the sum of a number (n) and 7 is 3 times that number. So you need twice the sum of n + 7 and that will equal 3 times n.

2(n + 7) = 3n

Now, multiply

2n + 14 = 3n

2n + 14 -2n = 3n - 2n

14 = n

So the number is 14. Now you can check your answer

2(14 + 7) = 3(14)

2x21 = 42

42 = 42

Answer:

3 1/4

Step-by-step explanation:

Answer:

3 1/4

Step-by-step explanation:

im going to change the fractions to decimals

1/2 = 0.5

2 3/4 = 2.75

0.5 + 2.75 = 3.25

now im going to switch it back to fraction

3.25 = 3 1/4

Answer:

No

Step-by-step explanation:

It's not a function because the Input (x) repeats

Answer: \(-44\dfrac{4}{9}\)

Step-by-step explanation:

The given expression: \(-36\dfrac{4}{9}-(-10\dfrac{2}{9})-(18\dfrac{2}{9})\)

Here, \(36\dfrac{4}{9}=\dfrac{36\times9+4}{9}=\dfrac{328}{9}\)

\((10\dfrac{2}{9})=\dfrac{92}{9}\\\\(18\dfrac{2}{9})=\dfrac{9\times18+2}{9}=\dfrac{164}{9}\)

That is

\(-36(\dfrac{4}{9})-(-10\dfrac{2}{9})-(18\dfrac{2}{9}) = -\dfrac{328}{9}-(-\dfrac{92}{9})-\dfrac{164}{9}\\\\=-\dfrac{328}{9}+\dfrac{92}{9}-\dfrac{164}{9}\\\\=\dfrac{-328+92-164}{9}\\\\=\dfrac{-400}{9}\\\\=-44\dfrac{4}{9}\)

Answer:

33.33 ft²

Step-by-step explanation:

→ Write down the formula for the area of a parallelogram

base × height

→ Substitute in numbers

\(8\frac{1}{3} *4\)

→ Simplify

33.33 ft²

Answer: A=33 1/3 ft²

Step-by-step explanation:

The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

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The value of x from the venn diagram if P(T | V) = 1/5 is 16

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

The venn diagram

From the venn diagram, we have the following probability values

P(T | V) = (x - 4)/(3x + x - 4)

Evaluate the like terms

So, we have

P(T | V) = (x - 4)/(4x - 4)

From the question, we have

P(T | V) = 1/5

This means that

(x - 4)/(4x - 4) = 1/5

When evaluated, we have

x = 16

Hence, the value of x is 16

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)

\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)

Hi! I'm Carriyana!! Glad to help you today! :)

Cole needs to work 28 hrs!!

My steps:

First I did 500/20 and got 25

Then I did 700/25

And ended up with 28

So the answer should be...

Answer:

28 hours

Step-by-step explanation:

To calculate how many hours Cole must work to earn $700, we must first calculate how much he makes per hour.

This can be done by taking the total amount he earned and dividing by the number of hours:

$500 / 20 hours = $25 an hour

Since we now know how much he makes an hour, we can determine how many hours it takes to earn $700 by using a similar equation to the one above:

Total Money / Total Hours = $ an hour

$700 / Total Hours = $25 an hour

It can be represented algebraically as:

700 / x = 25

Then, solve for x:

(700 / x) * x = (25) * x

700 = 25x

(700) / 25 = (25x) / 25

28 = x

28 hours

The sample in the given study says that D. the 51 teenagers in the study.

Statistics is a branch οf mathematics that deals with the cοllectiοn, analysis, interpretatiοn, presentatiοn, and οrganizatiοn οf data

The sample in the given study is:

Hence, D. the 51 teenagers in the study

The sample is the grοup οf individuals whο were selected tο participate in the study and frοm whοm data were cοllected.

In this case, the sample cοnsists οf the 51 teenagers whο were treated with garlic in a prοcessed tablet fοrm.

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Answer:

hey my friend please come over to spend the Christmas holidays with me and my family this year. If you are afraid of your dad it's ok I'll ask my mom to call him and ask him

Answer:

x = 1 , x = 13

Step-by-step explanation:

(x - 7)² = 36 ( take square root of both sides )

x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )

x = 7 ± 6

then

x = 7 - 6 = 1

x = 7 + 6 = 13

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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By applying the concepts of trigonometric functions and given that sin θ = 1/2 and 0° < θ < 90°, then the value of the secant of the given angle is \(\frac{2\sqrt{3}}{3}\). (Right choice: A)

By trigonometry, we understand that the sine is defined by the following function:

\(\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}\)      (1)

Where:

And the function secant is defined by:

\(\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}\)     (2)

If we know that x² + y² = 4 and y = 1, then we find that the secant is:

x² + 1 = 4

x² = 3

\(x = \sqrt{3}\)

Secant is postive for 0° < θ < 90°, thus:

\(\sec \theta = \frac{2}{\sqrt{3}} = \frac{2\sqrt{3}}{3}\)

By applying the concepts of trigonometric functions and given that sin θ = 1/2 and 0° < θ < 90°, then the value of the secant of the given angle is \(\frac{2\sqrt{3}}{3}\). (Right choice: A)

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Answer:

 =6mx^4−7x^4

Step-by-step explanation:

(6m−7)(x^4)

=(6m+−7)(x^4)

=(6m)(x^4)+(−7)(x^4)

\(\huge\text{Hey there!}\)

\(\mathsf{(6m - 7)\times4}\)

\(\mathsf{= (6m - 7)(4)}\)

\(\mathsf{= (6m - 7) 4}\)

\(\mathsf{= 4(6m - 7)}\)

\(\mathsf{= 4(6m) - 4(-7)}\)

\(\mathsf{= 6m(4) + (-7)(4)}\)

\(\mathsf{= 6m(4) - 7(4)}\)

\(\mathsf{= 6m - 28}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{24m - 28}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)