4. Hakim buys n kg of rice. Vanu buys 2 kg more rice than Hakim. Kevin buys
one-fifth of the amount of rice that Vanu buys.
(a) Find the total amount of rice that Hakim and Kevin buy altogether.

3z + 2(z - 3) = 7z + 12

3z + 2(z - 3) = 7z + 12

3z + 2z - 6 = 7z + 12

3z + 2z - 7z = 12 + 6

5z - 7z = 18

-2z = 18

z = 18/2

z = 9

\( \\ \)

Answered by - ItzAdmire

3z + 2(z - 3) = 7z + 12

3z + 2(z - 3) = 7z + 12

3z + 2z - 6 = 7z + 12

3z + 2z - 7z = 12 + 6

5z - 7z = 18

-2z = 18

z = 18/2

z = 9

\( \\ \)

Answered by - ItzMaster

Answer:

m = -1/3

Step-by-step explanation:

Based on the correlation coefficient between rent and square footage of 0.84, the relationship between the two variables is Strong and Positive.

The Correlation Coefficient can be negative, positive, or 0. When it is 0, then no relationship exists between the variables. A negative coefficient means that the relationship is negative.

A positive correlation means that the relationship is positive which means the variables increase (decrease) together. A correlation coefficient above 0.8 indicates that the correlation is strong.

In this case, it means that the correlation of 0.84 between rent and square footage is strong and positive.

Find out more on the correlation coefficient at https://brainly.com/question/4219149

#SPJ1

An equation of a line in point-slope form:  y - y₁ = m(x - x₁)

1.

passes through (1, 9)   ⇒   x₁ = 1,  y₁ = 9

slope: m = 2

The equation:

y - 9 = 2(x - 1)          ←  point-slope form      

y - 9 = 2x - 2           {add 9 to both sides}

y = 2x + 7                ←    slope-intercept form  

2.

passes through (4, -1)   ⇒   x₁ = 4,  y₁ = -1

slope: m = -3

The equation:

y + 1 = -3(x - 4)           ←  point-slope form      

y + 1 = -3x + 12           {subtract 1 from both sides}

y = -3x + 11                ←    slope-intercept form  

Answer:

A = 308

Step-by-step explanation:

given 1 cm represents 4 feet , then

5.5 cm = 5.5 × 4 = 22 ft

3.5 cm × 4 = 14 ft

Then actual area is

A = 22 × 14 = 308 ft²

Answer:A D  but not sure for b

Step-by-step explanation:

The commission on the sales will be $118.2.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

Elijah Henson sold $1,576 worth of merchandise. his commission rate is 7 1/2%

The commission amount will be:-

7.5 % of $1576 will be calculated as:-

Commission = 1576 x 0.075

Commission = $118.2

Therefore the commission on the sales will be $118.2.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ1

its $15 dollars

20% of x or 0.2 =3 now we solve the ecuation 0.2x=3 divide both side by 0.2.

x=3/0.2

x=15

The regular price is $15

The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).

To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:

\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)

Let's calculate the first four terms:

Starting with the first term, we substitute

\(\(f(a) = f(1) = 2(1) = 2x\)\)

For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).

\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)

\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)

Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)

Since the second derivative is zero, the third term is zero.

Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)

Similarly, the fourth term is also zero.

Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:

(2x + 2x - 2)

Learn more about taylor series

brainly.com/question/31140778

#SPJ11

Answer:

The volume of the triangular  pyramid

         V = 566.66 in³

Step-by-step explanation:

Step(i):-

The volume of the triangular  pyramid

            \(= \frac{1}{3} X base area X height\)

Base area  = Area of the triangle

             \(A= \frac{1}{2} X base X height\)

 Given the base of the triangle  (b) = 17in

  Given Height of the triangle (h ) =10 in

    \(A= \frac{1}{2}( 17 ) (10) = 85\)

The base area of the pyramid ( A) = 85 in²

Step(ii):-

Given the height of the pyramid  (h) = 20in

The volume of the triangular  pyramid

            \(= \frac{1}{3} X base area X height\)

The volume of the triangular  pyramid

         = \(= \frac{1}{3}( 85)(20) = 566.66\)

Final answer:-

The volume of the triangular  pyramid

         V = 566.66 in³

Answer:

(C) 6+4+10/15+3/15

Step-by-step explanation:

2/3=10/15

1/5=3/15

6+4+13/15

10 13/15

Answer:

230

Step-by-step explanation: because he worked 13 hours early at the same rate

Answer:

$230

Step-by-step explanation:

The mean of the sampling distribution of p is 0.4.

What is mean of the sampling distribution?

Mean is the average of set data include set data of sampling distribution. Mean can be calculate by sum all data value and divided the result by numbers of data, or mathematically is

Mean = \(\frac{\sum x}{n}\)

Given,

a newspaper report claimed that 40% of all US adults went to church last week. This tells us that the average US adult going to church in the last week was 40% from all US adults, which in mathematics is called mean.

Why?

Mean is the average of set data, in the question set data are US adults represented by a random sample of 1785 adults. The average US adults going to church is 40% or 0.4 which represents the mean.

Thus, the mean of the sampling distribution of p is 0.4.

Learn more about sampling distribution here:

brainly.com/question/13068170

#SPJ4

The interquartile range (IQR) is a measure of statistical dispersion, specifically the range between the first quartile (Q1) and the third quartile (Q3) in a dataset. To calculate the interquartile range for the given dataset (3, 4, 3, 9, 3, 5, 8, 5), we follow these steps:

Step 1: Arrange the dataset in ascending order: 3, 3, 3, 4, 5, 5, 8, 9.

Step 2: Calculate the median (Q2), which is the middle value of the dataset. In this case, the median is (4 + 5) / 2 = 4.5.

Step 3: Calculate the lower quartile (Q1), which is the median of the lower half of the dataset. In this case, the lower half is (3, 3, 3, 4), and the median of this subset is (3 + 3) / 2 = 3.

Step 4: Calculate the upper quartile (Q3), which is the median of the upper half of the dataset. In this case, the upper half is (5, 5, 8, 9), and the median of this subset is (5 + 8) / 2 = 6.5.

Step 5: Calculate the interquartile range (IQR) by subtracting Q1 from Q3: IQR = Q3 - Q1 = 6.5 - 3 = 3.5.

Therefore, the interquartile range for the given dataset is 3.5.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

bfcfbdgbcbcvgb

Step-by-step explanation:

Answer:

Two-sevenths

Step-by-step explanation:

It's the smallest amount just like the middle number

Answer:

2/7

Step-by-step explanation:

Answer:

Susan has:

40 nickels & 10 dimes

Step-by-step explanation:

Since she has a total of 50 nickles and dimes I knew that it could be separated into 5 sets of 10. Knowing that 4(10) is equal to 40+10 is equal to 50, I used the 10 for the amount of dimes and used 40 for the amount of nickles. So the nickles (40) are 4 times the dimes (10). We can prove this by multiplying the dimes by 4 (4(10)) and you get 40 and add on the 10 you get the total amount of 50.

I hope this helps:)

There are 40 nickels and 10 Dimes.

Two or more expressions with an Equal sign is called as Equation.

Let N be the number of nickels

Let D be the number of dimes

Susan has a collection of 50 nickels and dimes.

N + D =50...(1)

Number of nickels is four times the number of dimes

N = 4D    

Substitute N in equation 1

4D+D=50

5D=50

Divide both sides by 5

D=10

Now put D value in equation 1

N+10=50

Subtract 10 from both sides

N=40  

Hence, there are 40 nickels and 10 Dimes.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

( 3 , -5 )

Step-by-step explanation:

To determine how many terms are needed in the Machin series to obtain π correct to 15 digits, we can use an Excel spreadsheet to calculate the series iteratively until the desired precision is achieved.

In the spreadsheet, we can set up a column for the terms of the Machin series and another column for the partial sums. Starting with the first term, we calculate the partial sum by adding each term to the previous partial sum. We continue this process until the difference between the partial sum and the actual value of π is less than 0.000000000000001 (10^-15), indicating that we have achieved 15-digit precision.

By monitoring the number of terms required to reach the desired precision, we can determine how many terms are needed to obtain π correct to 15 digits using the Machin series. In the explanation paragraph, you can describe the process of setting up the Excel spreadsheet, including the formulas used to calculate the terms and partial sums, and the condition for stopping the iteration when the desired precision is achieved. Additionally, you can mention the specific number of terms required to obtain π correct to 15 digits based on the results obtained from the Excel spreadsheet.

Learn more about Excel here: brainly.com/question/32248743

#SPJ11

The last step in a proof typically contains the 1. conclusion. therefore, option 1. conclusion is correct.

The conclusion is the final statement or result that is derived from the logical reasoning and arguments presented throughout the proof. It serves as the culmination of the proof, summarizing the main outcome or solution that has been established based on the given information, assumptions, and the steps of the argument.

The conclusion in a proof is carefully crafted to reflect the logical implications of the preceding steps. It is the key takeaway that demonstrates the validity of the claim or theorem being proven. The conclusion should be a clear and concise statement that directly addresses the objective of the proof and provides a definitive answer or solution.

To ensure the integrity of the proof, the conclusion must align with the given information, assumptions, and logical arguments presented throughout the proof. It should accurately capture the result or solution that has been proven beyond a reasonable doubt.

for such more question on conclusion

https://brainly.com/question/18286352

#SPJ8

The statement is false because the element 2 does not meet the criteria of being an integer greater than 13.

To determine if {2} is an element of the set of integers greater than 13, we need to analyze the statement.

The set of integers greater than 13 can be represented as {x | x ∈ ℤ, x > 13}. This set contains all integers that are greater than 13.

Now, let's check if the element 2 is in this set. Since 2 is not greater than 13, it does not satisfy the condition x > 13. Therefore, {2} is not an element of the set of integers greater than 13.

Learn more About element from the given link

https://brainly.com/question/20096027

#SPJ11

Answer:

\(\sqrt{29}\)

Step-by-step explanation:

We are basically trying to find the hypotenuse of the triangle.

The distance between the x is 2, and the distance between the y is 5, which makes a length and a width.

Pythagrenum theorem: a^2+b^2=c^2

2^2 is 4, 5^2 is 25.

4+25 is 29.

The distance is \(\sqrt{29}\).

Answer:

the formula

Step-by-step explanation:

substitute the formula with the numbers give n-2 is number of sides -2 fyi

Answer:

x-intercept: (2,0)

y-intercept: (0,-4/3)

vertical asymptote: x = -3

Step-by-step explanation:

To find the x-intercepts, we can set f(x) to 0, which is y=0:

2x-4/x+3 = 0

2x-4 = 0

2x = 4

x = 2

To find the y-intercepts, we can set x to 0:

2(0)-4/(0)+3 = y

y = -4/3

To find the vertical asymptote, we can set the denominator equal to 0:

x+3 = 0

x = -3

Step-by-step explanation:

Given that:-

\((2x - 1)\)

is exactly divisible by

\(6 {x}^{2} + ax - 4\)

and

\(b {x}^{2} - 11x + 3\)

We need to simply, place the value of x.

\(2x - 1 = 0\)

\(2x = 1\)

\(x = \frac{1}{2} \)

Now,

\(6 {( \frac{1}{2} )}^{2} + \frac{a}{2} - 4 = 0\)

\( \frac{3 + a}{2} = 4\)

\(3 + a = 4 \times 2 = 8\)

\(a = 8 - 3\)

\(a = 5\)

Now, to find b.

\(b {( \frac{1}{2}) }^{2} - \frac{11}{2} + 3 = 0\)

\( \frac{b}{4} - \frac{11}{2} = - 3\)

\( \frac{b - 22}{4} = - 3\)

\(b - 22 = - 12\)

\(b = 10\)

is the answer.

Now, we need

\( {b}^{2} - {a}^{2} + a - b\)

\(100 - 25 + 100 + 5\)

\( = 205 - 25\)

\( = 180\)

is the answer.

Hope it helps :D

When coding a SELECT statement in SQL, it is crucial to follow a specific order for the four main clauses to ensure accurate and efficient retrieval of data. The correct order to code the clauses is c. SELECT, FROM, WHERE, ORDER BY.

Firstly, the SELECT clause specifies the columns that you want to retrieve data from. This clause is always coded at the beginning of the statement. Next, the FROM clause identifies the table or tables from which you want to retrieve data. It is important to note that the tables in the FROM clause must be listed before the WHERE clause.
The WHERE clause is used to filter the data based on certain criteria or conditions. This clause is typically coded after the FROM clause. Lastly, the ORDER BY clause sorts the retrieved data in ascending or descending order based on a specified column. This clause is always coded at the end of the statement.
Therefore, the correct order for coding the four main clauses in a SELECT statement is SELECT, FROM, WHERE, and ORDER BY. By following this order, you can ensure that your query runs smoothly and returns the correct results.

To learn more about SQL, refer:-

https://brainly.com/question/31837731

3SPJ11

Answer: 100% increase

Step-by-step explanation:

The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

To learn more about area click here: brainly.com/question/16151549

#SPJ11