Which statement is about determining 1/10 divided 5 is true?

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Answer:

You are correct

Step-by-step explanation:

Another way to do it is 4 x 4 x 4 and that would equal 12.

Hope this helps :)

Answer:

This is correct :)

Step-by-step explanation:

3^4= (3)(3)(3)(3)

HTH

Answer:

as below

Step-by-step explanation:

9/32=3/4 * y/x

becasue this is multiplication of fractions ,  its' not too tough to figure out 3 times what makes 9 and 4 times what makes 32

y=3

x=8

so the answer is 3/8 mile

The length of the northern side of a rectangular plot is 3/8 mile.

Here,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot = 3/4 mile.

We have to find the length of the northern side.

What is Area of rectangle?

The area of a rectangle is product of length and width.

Now,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot ( width ) = 3/4 mile.

Let the length of the northern side ( length ) = x mile

So,

Area of rectangle = length x width

\(\frac{9}{32} = x * \frac{3}{4} \\\\x = \frac{9}{32} *\frac{4}{3} \\\\x = \frac{3}{8}\)

Hence, The length of the northern side of a rectangular plot is 3/8 mile.

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The rule that represents the dilation of the original triangle with a scale factor of 12 centered at the origin is (x, y) → (12x, 12y).

The coordinates of the vertices of the original equilateral triangle can be found by dividing the perimeter by the length of each side, which is 4/3. Thus, each vertex is located at a distance of 4/3 units from the adjacent vertices.

Let's assume that the original triangle is centered at the origin (0,0) and its vertices are (2/3, 0), (-1/3, √3/3), and (-1/3, -√3/3).

Multiply the x and y coordinates of each vertex by the scale factor of 12.

Thus, the vertices of the dilated triangle would be:

(2/3) × 12, 0 × 12 = (8, 0)

(-1/3) × 12, √3/3 × 12 = (-4, 2√3)

(-1/3) × 12, -√3/3 × 12 = (-4, -2√3)

So, the rule that represents the dilation of the original triangle with a scale factor of 12 centered at the origin is:

(x, y) → (12x, 12y)

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The distances traveled by the car are given as follows:

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

The parameters for this problem are given as follows:

v = 1.15 km/min, t = 1 min.

Hence the equation for the distance in km after t minutes is given as follows:

d = 1.15t.

Then after 3 minutes, the distance is of:

d = 1.15 x 3 = 3.45 km.

After 5 minutes, the distance is of:

d = 1.15 x 5 = 5.75 km.

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It is stated that y = 10x + 60 is the equation for the line of greatest fit for all of this data set. indicating that the third choice is the right one.

How can I get the formula for the best fit line?

It is stated that a linear function has the following slope-intercept definition:

y = mx + b.

which contains the following coefficients:

The slope, or m, shows how quickly the function's output changes in relation to its input.

The y-intercept, or b, represents the value that the input function assumes to be zero.

Since the function passes through the given point (0,60), the following is the line's b-intercept:

b = 60.

When x rises by two from zero to two, y rises by twenty from sixty to eighty.

Consequently, the slope m is determined as follows:

m = 20/2 = 10.

Therefore, the following is the line of fit:

y = 10x + 60.

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It is stated that y = 10x + 60 is the equation for the line of greatest fit for all of this data set. indicating that the third choice is the right one.

How can I get the formula for the best fit line?

It is stated that a linear function has the following slope-intercept definition:

y = mx + b.

which contains the following coefficients:

The slope, or m, shows how quickly the function's output changes in relation to its input.

The y-intercept, or b, represents the value that the input function assumes to be zero.

Since the function passes through the given point (0,60), the following is the line's b-intercept:

b = 60.

When x rises by two from zero to two, y rises by twenty from sixty to eighty.

Consequently, the slope m is determined as follows:

m = 20/2 = 10.

Therefore, the following is the line of fit:

y = 10x + 60.

The possibility of the outcomes of third coin turn up a head is 2⁹.

Probability:

Probability is the calculated by dividing the favorable outcome by the total number of outcomes.

Given,

Ten coins are tossed simultaneously.

Here we need to find the how many of the outcomes will the third coin turn up a head.

Here we know that,

The third coin must be a head.

So, that means the rest of the coins can be heads or tails.

Therefore, possibility of these can be written as,

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁹

different outcomes for the rest of the coins.

Which means the rest of the coins can be either head or tail but the third one is head.

Therefore, the possibility of getting third coin as head is 2⁹.

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Probabilities are used to determine the chances of events

The probability of choosing a cat or dog is 1/2

The distribution of the animals is given as:

Dogs = 9

Cats = 6

Gerbils = 8

Parrots = 7

The number of cats or dogs is:

Cats or dogs = 6 + 9

Evaluate the sum

Cats or dogs = 15

There are 30 animals.

So, the probability that a selected animal is cat or dog is:

p = 15/30

Simplify

p = 1/2

Hence, the probability of choosing a cat or dog is 1/2

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ANSWER

4/9

EXPLANATION

The probability of not drawing a B in each event is the same because the card is being replaced and the total number of cards is always the same. This probability is equivalent to 1 minus the probability of drawing a B,

There are 6 cards in total, and 2 of them are B. Thus, the probability of not drawing a B in each event is,

The probability we want to find is the probability of not drawing a B twice in a row,

Hence, the probability of not drawing a B, then not drawing a B is 4/9.

Answer:

4/9

Step-by-step explanation:

The required fraction of socks that Bobo the clown has used can be\($\frac{\frac{1}{5}W+\frac{5}{8}B}{W+B}\)

Bobo likes to wear one white sock and one black sock.

Let the number of white socks be W and the number of black socks be B. Bobo changes his socks every day. At the end of several days, he finds that he has used exactly \(\frac15\) of his white socks.

So, the number of white socks he has used \(=\frac{1}{5}W\)

Also, he has used \(\frac58\) of his black socks. So, the number of black socks he has used \(=\frac{5}{8}B\)

The total number of socks Bobo has used = number of white socks used + number of black socks used

                                                                \(=\frac{1}{5}W+\frac{5}{8}B\)

The fraction of all of Bobo's socks he has used \(=\frac{\text{Total number of socks used}}{\text{Total number of socks}}\)

So, we need to find the total number of socks.

Total number of white socks = W

Total number of black socks = B

The total number of socks Bobo has is = Total number of white socks + Total number of black socks \(= W + B\)

The fraction of all of Bobo's socks he has used \(= \frac{\frac{1}{5}W+\frac{5}{8}B}{W+B}\)

Hence, the required fraction of socks that Bobo the clown has used can be calculated as \($\frac{\frac{1}{5}W+\frac{5}{8}B}{W+B}\)

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As per given value of card and its use , after first year relationship between the number of months and amount left on the card is given by an equation y = 25 - 2.50x , where x represents the number of months.

x is the independent variable and

y is the dependent variable.

As given in the question,

Starting value of the cash card = $25

For first year card is not in use then,

Every month value of card decrease by $2.50

Let x be the number of months and y be the total left amount on the card.

After first year:

Relationship between the number of months and the amount left on the card is :

y = 25 - 2.50x

y represents the dependent variable

x represents the independent variable

Therefore, for the given value of card and its use , after first year relationship between the number of months and amount left on the card is given by an equation y = 25 - 2.50x , where x represents the number of months.

x is the independent variable and

y is the dependent variable.

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Answer:

x=21

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

\( \frac{x ^{100} + 1 }{x + 1} \)

\(x + 1 = 0\)

\(x = - 1\)

Mantago should borrow the money for 72.7 months or approximately 6 years,

We can use the following formula to determine the loan length:

Loan length = Loan amount / (Monthly payment - Monthly interest payment)

We must first determine the monthly interest payment, which may be done by applying the following formula:

Monthly interest payment = (APR / 12) * Loan amount

Plugging in the values:

Monthly interest payment = (7.5 / 12) * $10,000 = $62.5

The values can now be entered into the calculation to determine the length of the loan:

Loan length = $10,000 / ($200 - $62.5) = $10,000 / $137.5 = 72.7 months

Therefore, Mantago should borrow the money for 72.7 months, or approximately 6 years, in order to afford the monthly payment of $200.

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Douglas McGregor believed that the Theory X assumptions were appropriate for traditional and authoritarian organizations.

Theory X is a management theory developed by Douglas McGregor, a management professor, and consultant. It is based on the idea that individuals dislike work and will avoid it if possible. As a result, they must be motivated, directed, and controlled to achieve organizational goals. The assumptions of Theory X are as follows:

Employees dislike work and will try to avoid it whenever possible. People must be compelled, controlled, directed, or threatened with punishment to complete work. Organizations require rigid rules and regulations to operate effectively. In conclusion, Douglas McGregor believed that Theory X assumptions were appropriate for traditional and authoritarian organizations.

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Answer:

60 km/h

Step-by-step explanation:

Your welcome :)

Number of  more postcards she can fit on the last page is 1.

Given,

one page can hold number of post cards=4

Total number of postcards = 27

To find number of post cards her book can hold, multiply number of pages and number of  postcards.

Lets say,

2 pages can hold number of post cards = \(2*4=8\)

similarly, 7 pages can hold number of postcards =\(7*4=28.\)

It means heather can fit 28 postcards upto the 7th page of her book.

But she has 27 postcards, it means she can fit \(28-27=1\) more postcard on the last page.

Hence, heather can fit 1 more postcard on the last page.

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The average of the first five numbers 7, 8, 9, 10 in the set is 10.

Let's begin by finding the sum of the 15 consecutive numbers. We know that the average of these numbers is 15, so we can use this information to find their sum.

The formula for the average (or arithmetic mean) of a set of numbers is:

average = (sum of numbers) / (number of numbers)

In this case, we know the average is 15 and there are 15 numbers, so we can rearrange the formula to solve for the sum:

sum of numbers = average x number of numbers

sum of numbers = 15 x 15

sum of numbers = 225

So the sum of the 15 consecutive numbers is 225.

To find the average of the first five numbers in this set, we need to know what those five numbers are. Let's call the first number in the set "x". Then the next four consecutive numbers would be x+1, x+2, x+3, and x+4.

The average of these five numbers can be found using the same formula as before:

average = (sum of numbers) / (number of numbers)

In this case, we want to find the average of five numbers, so we can plug in:

average = (x + (x+1) + (x+2) + (x+3) + (x+4)) / 5

We can simplify this expression by combining like terms:

average = (5x + 10) / 5

average = x + 2

So the average of the first five consecutive numbers in this set is x + 2. We don't know what x is, but we can use some algebra to solve for it.

We know that the sum of all 15 consecutive numbers is 225:

x + (x+1) + (x+2) + ... + (x+14) = 225

We can simplify this expression by combining like terms:

15x + (1+2+...+14) = 225

15x + 105 = 225

15x = 120

x = 8

So the first number in the set is 8, and the first five consecutive numbers are:

8, 9, 10, 11, 12

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When the current mortgage rates are high and expected to drop in the near future, the loans that will be gotten is one that has C. variable rate.

It should be noted that a mortgage simply means a loan that's made by a bank to purchase a house.

In this case, the current mortgage rates are high and expected to drop in the near future, the loans that will be gotten is one that has a variable rate. This is because once the mortgage rate decreases, one will pay a lesser amount.

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x = 4,  y = 3 for the given equation 2x - 3 y = -1 , y = x - 1 .

Given data :

2x - 3 y = -1

y = x - 1

In a system of equations, there are multiple equations present. We actually look for the point at which these equations are identical when we attempt to solve a system of equations problem. In order to solve such an issue, we typically employ the substitution method, which involves inserting the values of one variable into the initial expression in order to determine the value of the second variable.

3y=2x+1

y= (2/3)x + 1/3 = x-1

x/3 =4/3

x = 4,  y=3

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Answer:

The answer is 64.

Step-by-step explanation:

22 + (14*3)

22 + 42

64

Answer:

the answer would be 70.

Step-by-step explanation:

10 times 7 would be 70, and also, if you multiply -10 by -7, it would be 70, like this question in asking. When you multiply to negative numbers, you make a positive answer. I hop this helps :)

The required value would be 70 of the given expression xy for x = -10 and y = -7.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have been given that expression as

⇒ xy

Substitute the values of  x = -10 and y = -7 in the above expression,

⇒ (-10)×(-7)

Apply the multiplication operation,

⇒  70

Therefore, the required value would be 70 of the given expression xy for x = -10 and y = -7.

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According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Answer:

 (x3 - 2x2 - 4) • (x + 2)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((x4) -  22x2) -  4x) -  8

STEP

2

:

Checking for a perfect cube

2.1    x4-4x2-4x-8  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x4-4x2-4x-8

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x4-8

Group 2:  -4x2-4x

Pull out from each group separately :

Group 1:   (x4-8) • (1)

Group 2:   (x+1) • (-4x)

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x4-4x2-4x-8

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -8.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,8

Answer:

it is 60 of right angle

Step-by-step explanation:

there

The probability that there are no more than 10 righties is 22.19%.

The probability of having more than 10 righties can be calculated as follows:

P(more than 10 righties) = 1 - P(10 or fewer righties)

= 1 - [P(0 righties) + P(1 righty) + P(2 righties) + ... + P(10 righties)]

To calculate the probability of having exactly 5 righties, we can use the binomial distribution formula as follows:

P(5 righties) = (12C5)(0.9)5(0.1)7

= (792)(0.59049)(0.4782969)

= 0.2219

Similarly, we can calculate the probability of having 0, 1, 2, 3, 4, 6, 7, 8, 9, or 10 righties using the same formula. Once we have these probabilities, we can add them up to get the probability of having 10 or fewer righties.

Finally, we can subtract the probability of having 10 or fewer righties from 1 to get the probability of having no more than 10 righties.

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a)  the solution to the simultaneous equations is x = 2 and y = 7.

b i) The value of y in each equation is 7.

ii) The value of y, which is 7, is the same for both equations. This means that the solution (x = 2, y = 7) satisfies both equations and is consistent across both equations.

a) To solve the simultaneous equations y = 2x + 3 and y = -x + 9, we can set them equal to each other:

2x + 3 = -x + 9

Adding x to both sides:

3x + 3 = 9

Subtracting 3 from both sides:

3x = 6

Dividing by 3:

x = 2

Now that we have the value of x, we can substitute it back into either equation to find the corresponding value of y. Let's use the first equation:

y = 2(2) + 3

y = 4 + 3

y = 7

Therefore, the solution to the simultaneous equations is x = 2 and y = 7.

b) Substituting the value of x = 2 into each equation:

For the equation y = 2x + 3:

y = 2(2) + 3

y = 4 + 3

y = 7

For the equation y = -x + 9:

y = -(2) + 9

y = -2 + 9

y = 7

i) The value of y in each equation is 7.

ii) The value of y, which is 7, is the same for both equations. This means that the solution (x = 2, y = 7) satisfies both equations and is consistent across both equations.

In summary, when solving the simultaneous equations, we find that x = 2 and y = 7. When substituting this solution back into the original equations, we notice that the value of y is the same (7) in each equation. This confirms the consistency of the solution.

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