Its true that perpendicular bisectors also exist for the height from an isosceles triangle's vertex angle to its base.
Given that,
We have to find perpendicular bisectors also exist for the height from an isosceles triangle's vertex angle to its base.
We know that
Let us take a triangle ABC and draw an altitude CD
Being an isosceles triangle
In ΔACD and ΔCDB
CD=CD (common )
CA=CB ( equal opposite sides)
∠ A=∠ B (the angle between the opposing sides is also equal)
Triangle ACD and triangle CDB are congruent
So , AD=DB by CPCT
So, its true
Therefore, Its true that perpendicular bisectors also exist for the height from an isosceles triangle's vertex angle to its base.
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5 t-hirt and a hat cot 17£
2 t-hirt and a hat cot 8£
how much doe a t hirt cot
how much doe a hat cot
The cost of the t-shirt is 3 and the cost of a hat is 2
Let the price of a t-shirt be x
and the price of a hat be y
cost of 5 t-shirt and a hat is 17
5x + y = 17 equation 1
cost of 2 t-shirt and a hat is 8
2x + y = 8 equation 2
subtracting equation 2 from equation 1
5x + y - (2x + y) = 17 - 8
5x + y - 2x - y = 9
3x = 9
x = 3
2x + y = 8
2 (3) + y = 8
y = 8 - 6
y = 2
Therefore, the cost of the t-shirt is 3 and the cost of a hat is 2
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Chelsea wrote several equations and determined that only one of the equations has exactly one solution. which of these equations has exactly one solution? 4 (x 3) = 7 x minus 6 4 (x 3) 8 = 4 x 20 4 (x 3) 3 x 7 x 12 4 (x 3) 6 = 4 x 9
The equation which has exactly one solution is 4 (x + 3) = 7x – 6, and the solution is x = 6.
To solve the equations, we can use Multiplicative Distribution Law.
The first equation, 4 (x + 3) = 7x – 6, has exactly one solution that is x = 6.
4 (x + 3) = 7x – 6
4x + 12 = 7x – 6
4x – 7x = – 6 – 12
– 3x = – 18
x = 6
The second equation, 4 (x + 3) + 8 = 4x + 20, has all real numbers.
4 (x + 3) + 8 = 4x + 20
4x + 12 + 8 = 4x + 20
4x – 4x = 20 – 12 – 8
0 = 20 – 12 – 8
0 = 0
The third equation, 4 (x + 3) + 3x = 7x + 12, has all real numbers.
4 (x + 3) + 3x = 7x + 12
4x + 12 + 3x = 7x + 12
4x + 3x – 7x = 12 – 12
7x – 7x = 0
0 = 0
The last equation, 4 (x + 3) + 6 = 4x + 9, has no solution. It is a wrong equation.
4 (x + 3) + 6 = 4x + 9
4x + 12 + 6 = 4x + 9
4x – 4x = 9 – 12 – 6
0 = - 9
Hence, by using the Multiplicative Distribution Law, the equation which has exactly one solution is 4 (x + 3) = 7x – 6.
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Answer: (A)
Step-by-step explanation: 4(x + 3) = 7x - 6
trust
To furnish a cafeteria, a school can spend $5200 on tables and chairs. Tables cost $200 and chairs cost $40. Each table will have 8 chairs around it. Write and solve a system of equations for x and y. How many tables and chairs will the school purchase?
The number of tables is 100 and the number of chairs purchased is 800.
Given,
In the question:
To furnish a cafeteria, a school can spend $5200 on tables and chairs. Tables cost $200 and chairs cost $40. Each table will have 8 chairs around it.
To write and solve a system of equations for x and y and how many tables and chairs will the school purchase?
Now, According to the question:
We need to form an equation from this given information and solve it for x to find the number of tables and chairs that the school will purchase.
The number of tables is x, so number of chairs is 8x
Total cost of tables=200x
Total cost of chairs=40 × 8x=320x
Total expenditure=200x + 320x=520x
520x = 5200
x = 100
Therefore, the number of tables is 100 and the number of chairs purchased is 800.
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Ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 6 minutes. How many minutes of the ride are spent higher than 17 meters above the ground?
0.769 minutes of the ride is spent higher than 17 meters above the ground.
What is the unit conversion in mathematics?
Unit conversion is a multi-step process that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.
The given figure is a Ferris wheel we have to find the time spent on the ride higher than 17 m.
It means we have to find time spent riding from A to C through B (i.e., Arc ABC)
From the figure, in ΔAOD, we have
OA = 12.5 m
OD = 12.5 - 1 = 11.5 m
Now find 'θ'
θ = [tex]cos^{-1}(\frac{11.5}{12.5})[/tex]
= 23.07°
The total angle of arc ABC = 2θ
= 2 * 23.07
= 46.14°
It is given that, 1 full revolution is completed in 6 minutes.
so 46.14° will be completed in = 6/360 * 46.14
= 0.769 minutes.
Hence, 0.769 minutes of the ride is spent higher than 17 meters above the ground.
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Trekkers footwear bought a piece of machinery on january 1, 2006 at a cost of $2. 3 million, and the machinery is being depreciated annually at an amount of $230,000 for 10 years. Its market value on december 31, 2008 is $1. 75 million. The firm's accountant is preparing its financial statement for the fiscal year end on december 31, 2008. The asset's value should be recognized on the balance sheet at.
The asset's value should be recognized on the balance sheet at $1.61 million.
Given,
On January 1st, 2006, Trekkers Footwear paid $2.3 million for a piece of equipment that will be depreciated at a rate of $230,000 per year for ten years. As of December 31, 2008, IT was worth $1.75 million in the market. The company's accountant is putting the finishing touches on the financial statement for the fiscal year that ends on December 31, 2008.
The balance sheet should reflect the asset's value at,
Cost of Asset = $2.3 million
Annual depreciation = $230000
Total no. of years depreciated till December 31, 2008, = 3 years
Hence, total depreciation = $230000 x 3 = 690000 = 0.69 million
Hence, book value as on 31 December 2008 = $2.3 million - $0.69 million = 1.61 million
Given Market Value on Dec 31, 2008, = $1.75 million.
But as per accounting conventions, Assets are recorded at Book value.
Hence $1.61 million is the right answer.
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What is the equation of the line that passes through the point (8,4) and has a slope of 0
The equation of the line that passes through the point (8,4) and has a slope of 0 is y = 4.
Given:
point (8,4) and has a slope of 0
slope m = 0
Standard line equation is y = mx + c
substitute (8,4) and m values in y = mx + c
4 = 0*8 + c
4 = 0 + c
c = 4
c , m values in y = mx + c
y = 0*x + 4
y = 0 +4
y = 4.
Therefore The equation of the line that passes through the point (8,4) and has a slope of 0 is y = 4.
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michael jordan was said to have a hang-time of 3.0 seconds (at least according to a popular nike commercial). use kinematic equations to determine the height to which mj could leap if he was wearing nike shoes and had a hang-time of 3.0 seconds.
For the triangles to be congruent by hl, what must be the value of x? 8 9 17 34
Using equations we know that the value of x needs to be (E) 4 to make HL congruent to AC.
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
So, HL is a hypotenuse that will be congruent to the hypotenuse AC.
We know that HL is 3x + 3.
Ac is 15.
Then the equation will be:
3x + 3 = 15
Now, solve the equation to get x as follows:
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3
x = 4
Therefore, the value of x needs to be (E) 4 to make HL congruent to AC.
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Correct question:
For the triangles to be congruent by hl, what must be the value of x?
a. 8
b. 9
c. 17
d. 3
e. 4
BBQ Corp. had a 3:1 stock split ratio. Pre-split the company had 1.35 Million outstanding shares at a price of $72.45 per share.
How many outstanding shares does BBQ Corp. have post-split?
The number of outstanding shares that BBQ Corp. will have post-split, given the number of outstanding shares is, 4, 050, 000 shares
What is a stock split?A stock split refers to when the number of outstanding shares that a company has, are divided into a certain number of shares which is based on the split ratio.
For a 3:1 stock split ratio, the number of outstanding shares will be split into three shares each.
BBQ Corp. has 1. 35 million shares so post - split, they will have:
= Outstanding shares x 3
= 1, 350, 000 x 3
= 4, 050, 000 shares
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Which equation represents a line that passes through 5 1 and has a slope of StartFraction one half EndFraction?.
The equation of line which passes through point (5,1) and having slope ½ is (y-1) = ½ (x-5).
What is the equation of a line?
The equation of a line is given as:
y = mx + c
The equation for the point on slope line is given as:
y - y1 = m ( x - x1 )
Substituting the above given values and the slope:
y - 1 = [tex]\frac{1}{2}[/tex] ( x - 5)
Hence, the equation of line which passes through point (5,1) and slope ½ is (y-1) = ½ (x-5).
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it said her baby weighed 1/2 stone if one pound equals 1/14 of a stone how many pounds did the newborn baby weigh
The weight of the newborn baby in pounds is 7pounds
What is proportion?Proportion is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
The relationship between a pound and stone is
1 pound = 1/14stone
therefore 1stone = 14pounds
The weight of the newborn baby is 1/2 stone
in pounds ,the weight of the baby is 14/2= 7pounds
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What is 18.92 divided by11 equals 18.92 at the top 11 at the bottom explain your answer PLEASE I HAVE TO SUMMIT THIS IN 19 MIN!
The decimal division of 18.92 by 11 gives us; 1.72
How to divide decimal numbers?When dividing decimals, we first have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way, like in regular long division.
We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;
18.92/11 = 1892/1100
= 1 + (1892 - 1100)/1100
= 1 + (792/1100)
= 1 + 0.72
= 1.72
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Simplify cos (arcsin1/4)
express as a sum of logarithms
a, log3 5ab
Sum of logarithm is [tex]\left(\log _3(5)+\log _3(a)\right) b$$[/tex]
What is meant by logarithm?The exponent or power that must be added to a base to produce a given number is called the logarithm. If bx = n, then the mathematical expression for x is x = logb n, where x is the logarithm of n to the base b.
For instance, since 23 = 8, 3 is the logarithm of 8 in base 2, or 3 = log2 8. In a similar manner, since 102 = 100, 2 = log10 100. Those of the latter type (base 10-based logarithms) are referred to as common, or Briggsian, logarithms and are denoted by the letter log n.
The time needed to multiply numbers with many digits was significantly reduced thanks to the development of logarithms in the 17th century, which was done to speed up calculations.
Simplifying [tex]$\log _3(5 a) b: \quad\left(\log _3(5)+\log _3(a)\right) b$$\log _3(5 a) b$[/tex]
[tex]\log _3(5 a) b[/tex]
Simplifying we get
[tex]$\log _3(5 a): \quad \log _3(5)+\log _3(a)$$$=\left(\log _3(5)+\log _3(a)\right) b$$[/tex]
Therefore the sum of logarithm is [tex]\left(\log _3(5)+\log _3(a)\right) b$$[/tex]
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Yearly expenses at a state university have increased from $14,000 to $18,500 in the last 4 years. What has been the average annual growth rate in expenses? If this growth rate continues, what will the expenses be 4 years from now?
The annual growth rate in the expenses is 0.08035 or 8.03 % and with the same rate the expenses after 4 years will be equal to $24,642.
How annual growth rate is calculated?
Annual growth rates are calculated by taking the average revenue for a particular time period into account. The yearly growth rate formula divides the final value of an investment or asset by its original value. When you subtract one from this amount, you are left with a decimal point that can be translated into a percentage. You may determine the percentage by simply moving the decimal point two spaces to the right.
The growth in the 4 years is = 18,500 – 14,000 = 4,500
Growth = initial amount (rate) (time)
4500 = x(4)(14,000) = 0.08035
It means the annual growth rate is 8.03 %
To know the expenses after 4 years, lets take initial value = 18,500, rate = 8.03% = 0.083, time = 4 years,
Increase = 18500(0.083)(4) = 6,142
So, the expenses after 4 years,
Expenses = 18,500 + 6,142 = 24,642
Therefore, the expenses after 4 years are $24,642
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mrs. ibanez has come to the ed with painless jaundice (with an obstructive profile on liver tests), a 30-pound weight loss over three months, and profound dehydration, for which she was admitted to the hospital.
Mrs. Ibanez is experiencing symptoms of a potentially serious condition and should be evaluated by a medical professional as soon as possible.
What is a potentially serious condition?Any medical disease that has the potential to get worse or be life-threatening if it is not treated quickly and effectively qualifies as potentially serious. Infections, wounds, and long-term medical issues like diabetes or heart disease or profound dehydration are a few examples of potentially catastrophic illnesses. These illnesses can range in severity from moderate to severe, and they might need to be treated right once to avoid long-term harm or other consequences. If you think you may have a dangerous issue, it's crucial to speak with a doctor right away so you can get the proper care and stop the problem from becoming worse.
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Malia ue 51 yard of ribbon to make 17 bow. The relationhip between ribbon and bow i proportional. How many yard of ribbon doe Malia need to make 68 bow?
In given proportinal relation , Maila need 204 yards for make 68 bow.
What is proportion?
In mathematics, proportional means that two quantities or variables are linearly related. When one quantity doubles, the other quantity also doubles. When one of the variables decreases to 1/10th of its previous value, the other also decreases. A ratio is a comparison of two numbers, each representing a part of a whole. Essentially, percentages show that two fractions are equal, even if they are of different magnitudes. For example, 1/2 of 10 marbles has the same ratio as 1/2 of 50 marbles.
Here the relationship between ribbon and bow is proportional. Let us take ribbon as r and bow as b.
=> r ∝b
=> r= kb . Where k is constant.
Now put r=51 and b =17 then,
=> 51=k*17
=> k = 3
then the equation is r = 3b.
Now b=68 then ,
=> r = 3*68
=> r = 204 yard.
Therefore Maila need 204 yard ribbon to make 68 bow.
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Can we construct a triangle with the sides 2cm 3cm and 5cm justify?.
Answer:
No
Step-by-step explanation:
The sum of two sides of a triangle should be greater than the size of the third side.
2 + 3 is not greater than 5, so it's impossible to construct a triangle using the given lengths for the sides.
in a monetary-unit sample with a sampling interval of $10,000, an auditor discovered that a selected account receivable with a recorded amount of $5,000 had an audit amount of $2,000. the projected misstatement of this sample was:
The correct answer is 'the projected misstatement of this sample was $6,000.'
An auditor cannot obtain absolute assurance that material misstatements in the financial statements will be find out.
The purpose of intentional misstatements or omissions of amounts or disclosures in financial statements is to deceive the users of financial statements. These misstatements result from fraudulent financial reporting.
Misstatements arising from the misappropriation of assets (sometimes referred to as defalcation) involve the theft of an entity's assets where the effect of the theft causes the financial statements not to be represented in conformity with generally accepted accounting principles.
The risk of a material misstatement of the financial statements as a result of fraud should be expressly assessed by the auditor, and the audit processes should be designed with that judgement in mind.
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Given X (5, -8). What are the coordinates of X" if X" = Rx-axis
(Ry-axis(X))?
A. (5,8)
B. (-5,-8)
C. (-5,8)
D. (5,-8)
(-5, 8)
=========================================================
These are two rules to memorize
[tex]\text{x-axis reflection: } \ \ (\text{x},\text{y})\to (\text{x},-\text{y})\\\\\text{y-axis reflection: } \ \ (\text{x},\text{y})\to (-\text{x},\text{y})\\\\[/tex]
----------
I'll relabel the point X as point A.
We apply a y-axis reflection first.
So we have:
[tex](\text{x},\text{y})\to (-\text{x},\text{y})\\\\(5,-8)\to (-5,-8)\\\\[/tex]
after the y axis reflection is applied.
This is the location of point A'
----------
Then we apply an x-axis reflection.
[tex](\text{x},\text{y})\to (\text{x},-\text{y})\\\\(-5,-8)\to (-5,-(-8))\\\\(-5,-8)\to \boldsymbol{(-5,8)}\\\\[/tex]
This is the location of point A''
which points us to choice C as the final answer.
----------
Side note:
The composition of an x-axis reflection and y-axis reflection, in either order, is the same as a 180 degree rotation around the origin.
The rule for a 180 degree rotation is [tex](\text{x},\text{y})\to (-\text{x},-\text{y})\\\\[/tex]
Percy rides his bike 11.2 miles in 1.4 hours at a constant rate. Write an equation to represent the proportional relationship between the number of hours Percy rides,x, and the distance in miles, y, that he travels.
An equation to represent the proportional relationship between the number of hours and the distance in miles is k=y/x.
Given that, Percy rides his bike 11.2 miles in 1.4 hours at a constant rate.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
The number of hours Percy rides x, and the distance in miles, y, that he travels
So, the proportional relationship is speed = y/x
Thus, 11.2/1.4
= 8 miles per hour
Therefore, an equation to represent the proportional relationship between the number of hours and the distance in miles is k=y/x.
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Simplify the following please
[tex] log_{3}27 + 2 log_{3}9 - log_{3}54[/tex]
Answer:
4 - log3 (2)
Step-by-step explanation:
2log3 (9) = log3 (9^2)
log3 (27 * 9^2 / 54)
log3 ( 3^3 * 3^4 / 9 * 6)
log3 (3^7 / 3^2 * 3 * 2)
log3 (3^7 / 3^3 * 2)
log3 ( 3^4 /2)
log3 (3^4) - log3 (2)
4 - log3 (2)
Simplify completely
√40x^7
Simplified value of given expression is 2x³√10x.
What is simplification?
In arithmetic, simplification is reducing the expression / fraction problem during a less complicated type.
Main body:
Factor 40 into its prime factors
40 = 2³ • 5
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
4 = 2²
Factors which will remain inside the root are :
10 = 2 • 5
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
2 = 2
At the end of this step the partly simplified SQRT looks like this:
2 • sqrt (10x7)
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x⁸)=x4
(3.2) sqrt(x-⁶)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x²•sqrt(x)
(4.2) sqrt(x-7)=x³•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(x7) = x³ • SQRT(x)
sqrt (40x7) =
2² x³• sqrt(10x)
Hence the simplification to the value is as 2² x³ • sqrt(10x)
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For each 50mm of coloured fabric, I ue 10cm of white fabric. Expre to amount of white fabric to coloured fabric a a ratio of it implet form
amount of white fabric to coloured fabric a a ratio of it implet form is given by 1/2
2cm = 2 * 10 mm
2 cm = 20 mm
for every 50 mm of colored fabric, Gavyn uses 100 mm of white fabric.
The ratio is expressed as white fabric to colored fabric.
Ratio white to colored = 50/100 = 1/2
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find the minimum value of the function f(x)= x2+2.6x-2 to the nearest hundredth.
Answer:
[tex](-1.3,-3.69)[/tex]
Step-by-step explanation:
Take the derivative of the function and set it equal to 0.
[tex]f(x)=x^2+2.6x-2[/tex]
[tex]f'(x)=2x+2.6 = 0[/tex]
Solve for x.
[tex]2x+2.6=0\\2x=-2.6\\x=-1.3[/tex]
Find [tex]f(-1.3)[/tex]
[tex]f(-1.3)=(-1.3)^2+2.6(-1.3)-2[/tex]
[tex]f(-1.3)=-3.69[/tex]
Find all solutions of x in degrees for (sinx- 1)(sinx+ 1) = 0.
Answer:
x = 90° + 180° × n, for all integers, n
Step-by-step explanation:
(sin x - 1)(sin x + 1) = 0
sin x = 1 or sin x = -1
The sine function has value 1 at 90° and all coterminal angles.
The sine function has value -1 at 270° and all coterminal angles.
Answer: x = 90° + 180° × n, for all integers, n
a block cipher algorithm operates more slowly if we change the key every time we use it. which of the following concepts is most responsible for this delay?
Key expansion is most responsible for this delay.
A block cipher encrypts and decrypts a block of data with an algorithm and symmetric key. In order to expand the keyspace of a block cipher and make it more difficult to break the key through brute force, an initialization vector (IV) must be added to the plaintext that is being used as input. Key Expansion: In the initial stage, it uses just one key, but in later rounds, it expands to multiple keys. Data bytes: Instead of working with bit data, the AES encryption algorithm performs operations on byte data. Consequently, during the encryption process, it treats the size of the 128-bit block as 16 bytes.
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Consider the following time series data. week 1 2 3 4 5 6 value 16 11 13 10 14 12 (a) construct a time series plot. what type of pattern exists in the data? the data appear to follow a seasonal pattern. the data appear to follow a horizontal pattern. the data appear to follow a trend pattern. the data appear to follow a cyclical pattern. (b) develop the three-week moving average for this time series. (round your answers to two decimal places.) week time series value forecast 1 16 2 11 3 13 4 10 5 14 6 12 compute mse. (round your answer to two decimal places.) mse
The overall MSE for the time series would be (0 + 0 + 0.0289 + 0.0144 + 0.0044 + 0.0144)/6 = 0.0119. This value indicates that the forecasted values are close to the actual time series values, with a small error.
What is MSE?Mean squared error (MSE) is a standard measure of the average squared difference between predicted and actual value. Regression analysis frequently use it to assess a model's performance pattern. The sum of squared discrepancies between the predicted and actual values is multiplied by the number of observations in the dataset to derive the MSE. A lower MSE signifies a better match between the model and the data. In regression analysis, MSE is generally compared to the variance of the response variable, which is a measure of data dispersion. The MSE reveals how well the model fits the data when it is less than the variance.
How to solve?
To construct a time series plot for the given data, we can plot the values of the data against the weeks on the x-axis.
Week 1 | |
Week 2 | |
Week 3 | |
Week 4 | |
Week 5 | |
Week 6 | |
The three-week moving average for each week would be as follows:
Week 1: 16
Week 2: 11
Week 3: 12.67
Week 4: 11.33
Week 5: 12
Week 6: 11.33
The MSE for each week would be as follows:
Week 1: 0
Week 2: 0
Week 3: 0.0289
Week 4: 0.0144
Week 5: 0.0044
Week 6: 0.0144
The overall MSE for the time series would be (0 + 0 + 0.0289 + 0.0144 + 0.0044 + 0.0144)/6 = 0.0119. This value indicates that the forecasted values are close to the actual time series values, with a small error.
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What is the prime factorization of 54 exponential form?.
The Prime Factorization of 54 in exponential form is 2¹ × 3³ .
The Exponential Form is a way of writing repeated multiplication that involves base and exponents . For Example : 5×5×5 = 5³ .
In the question ,
it is given that ,
the number is 54 ,
we have to find the prime factorization , and write it in the exponential form .
the number 54 can be expressed in factors as 2 × 3 × 3 × 3 .
which means 54 = 2 × 3 × 3 × 3 .
which can be written as 2 × 3³ .
So , the exponential form is 2¹ × 3³ .
Therefore , The Prime Factorization of 54 in exponential form is 2¹ × 3³ .
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My garden needs 5 3/6 pounds of soil. If the bag of soil contains only ⅚ of soil - how many bags of soil do I have to buy? The answer is =
Approximately 7 bags of soil are needed to fill the land.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is garden that needs 5 3/6 pounds of soil. The bag of soil contains only 5/6 of soil.
The total number of bags of soil you need to buy are -
n = (33/6)/(5/6)
n = 33/6 x 6/5
n = 33/5
n = 6.6
n = 7 (approx.)
Therefore, approximately 7 bags of soil are needed to fill the land.
To solve more questions on equation modelling, visit the link below-
brainly.com/question/6593383
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