The number of children that attend the fair on the day tha 350 were present in the fair is 200
How to calculate the number of children in the fairThe number of children in the fair is obtained by solve a simultaneous equation generated as follows
let x be the number if children be x and the number of adults be y. such that
x + y = 350
and from the cost we have
$3y + $2x = 900
the two equations are
x + y = 350
3y + 2x = 900
solving simultaneously with a calculator
x = 200 and y = 150
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What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)?
y = x + 3
y = x + 7
y = 3x – 13
y = 3x + 5
Answer:
most appropriate is y=3x - 13 but it is not the correct one.comparing y=3x-13 with y=mx+c the we get,m(slope)=3 whereas comparing y=X+4 with y=mx +c,we get m(slope)=1.But the slopes of parallel lines are always equal.
The correct equation for the line is y=X -1.
*mark me brainliest.
Compare the population range to the mean of the sample ranges. Choose the correct answer below A. The population range not equal t0 the mean of the sample ranges (it is also not equal to the age of tne oldest ofiicia or age of the youngest official at the time of death). B. The populalion range equal the youngest official at Ihe time of death and the mean of the sample ranges is equal to the oldest official at the time ol doath C. The populalion range equal t0 Ihe mean of the sample ranges_ D. The population range I5 equa the age the oldest otficial at the time of death and the mean of the sample ranges equal to Ihe youngest olficlal at the time of death
By comparing the population range to the mean of the sample ranges, the answer will be D) The population range equal the youngest official at the time of death and the mean of the sample ranges is equal to the oldest official at the time of death.
Creating a tonne of random numbers between 40 and 70 points so that we can see that the population range is equal to 70. That is presumably the oldest value that is still valid. The population range is the sum of the data generated at the highest level and the lowest level. The population range is now 30 points. by taking a handful of random samples.
We want a sample table containing random samples of the data so we don't have to worry about this. Going through the samples with the new table that will be generated here and want to find this range by taking the max of each sample. Subtracting the mean from each sample from the range samples from 1 to 10. The range for the initial data was 30 points because the entire range was 40 to 70 points; nevertheless, we can observe that this range varies from 64 to 70 points.
We made the table because we wanted the mean of the average of our separate ranges to be 21.7. The mean value of the ranges in 100 samples will be discovered if the sample size is increased. A sample's range is not representative of the population. We can infer that we do it since the samples' range and average range are greatly dissimilar.
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Match the vocabulary to the proper definition. 1. a number or a variable, or the product of a number and variable(s) variable 2. a number; a term containing no variables constant 3. an equation that uses variables to state a rule term 4. one term or multiple terms connected by an addition or subtraction sign expression 5. a letter or symbol used to represent an unknown number formula
1.)Monomial 2.) Constant term 3.) Formula 4.) Expression 5.)Variable.
What is a monomial?A monomial is defined as an algebraic expression with one term, but it can have many variables and higher degrees. It can also be defined as the product of a number and variable(s).
Constant term is defined as the term that contains only a number with no variables.
A formula is defined as an equation that uses variables to state a rule term.
An expression is defined as one term or multiple terms connected by an addition or subtraction sign expression.
A variable a letter or symbol used to represent an unknown number formula.
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determine whether an observational study or an experimental study is used. subjects were randomly assigned to two groups, and one group was given an herb and the other group a placebo. after months, the numbers of respiratory tract infections each group had were compared.
An Experimental study is used. As subjects were randomly assigned to two groups, and one group was given an herb and the other group a placebo. after months, the numbers of respiratory tract infections each group had were compared.
Experimental investigations or study involve introducing an intervention and observing its results. Typically, volunteers in experimental research are grouped randomly, or by chance.
During a randomized controlled trial (RCT), participants are divided into two or more groups at random. While the control group is given nothing or a placebo, the intervention group is given the new drug, for example. The outcome of each group is then investigated by the researchers. The intervention can thus be blamed for any variations in the results.
Whereas, Observational study is the Studies in which researchers look at how a risk factor, diagnostic test, treatment, or other intervention affects a population without attempting to alter who is or is not exposed to it.
Hence, it is experimental study.
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One ticket cost $6, and two tickets for a couple cost $10. You sold 196 tickets and gained $1076. How many couples bought tickets?
Answer:
How many couples bought tickets?
50
Step-by-step explanation:
s + 2c = 196 Eq. 1
6s + 10c = 1076 Eq, 2
s = single tickets
c = couple tickets
From Eq. 1:
s = 196 - 2c Eq. 3
Replacing Eq. 3 in Eq. 2:
6(196-2c) + 10c = 1076
(6*196 + 6*-2c) + 10c = 1076
(1176 - 12c) + 10c = 1076
1176 - 2c = 1076
1176 - 1076 = 2c
100 = 2c
c = 100/2
c = 50
From Eq. 3:
s = 196 - 2c
s = 196 - 2*50
s = 196 - 100
s = 96
Check:
From Eq. 2:
6s + 10c = 1076
6*96 + 10*50 = 1076
576 + 500 = 1076
need help asap please do 20. 21, and 22 thank you!!!!!!! 25 points!!!!!!!!!!!!
Question 20
The quadrilateral is a rhombus because there are four congruent sides. The quadrilateral cannot be more specifically classified as a square because one of the interior angles is not a right angle.
Question 21
The quadrilateral is a parallelogram because the diagonals bisect each other.
Question 22
The quadrilateral is a square because it is a rhombus (four congruent sides) with a right angle.
Help Please! 50 points + Brainliest if explained properly so I won't have to ask for help the next time.
The solution is
a) The ratio of x values to the y values from the table is 2 : 3
b) The ratio of x values to the y values from the graph is 2 : 3
c) The ratio of x values to the y values from the table and graph is equivalent
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the equation will be
Let the x values from the table be x = { 8 , 10 , 12 }
Let the y values from the table be y = { 12 , 15 , 18 }
Now , y = kx , where k is the proportionality constant
Substituting the values in the equation , we get
12 = k ( 8 )
Divide by 8 on both sides of the equation , we get
k = 12/8
k = 3/2
So , the ratio of x values to the y values is 1/k = 2 : 3
Now ,
15 = k ( 10 )
Divide by 10 on both sides of the equation , we get
k = 15 / 10
k = 3/2
So , the ratio of x values to the y values is 1/k = 2 : 3
And ,
18 = k ( 12 )
Divide by 12 on both sides of the equation , we get
k = 18/12
k = 3/2
So , the ratio of x values to the y values is 1/k = 2 : 3
From the graph , the ratio is also 2 : 3
Hence , the ratio of x to y is given by 2 : 3
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PLEASE HELP NEEDE DUE NOWW PLEASE EASYY
Suzanne pays $21.03 in sales tax for the computer upgrades.
What is tax?Tax in math is a type of mathematical problem that involves the distribution of a certain amount of money among several parties. The problem is solved by calculating the amount of money each party needs to pay in order to make the distribution fair and equitable. This type of math problem is often used to determine the amount of taxes that need to be paid by individuals or businesses. Tax problems can also be used to analyze the effects of different tax policies on the economy.
This amount is rounded to the nearest cent and is calculated by multiplying the pre-tax cost of the upgrades ($311.60) by the sales tax rate (6.75%). Thus, the equation would be: $311.60 x 6.75% = $21.03.
Suzanne must pay an additional $21.03 for the sales tax on her purchase, making the total cost of the upgrades $331.60.
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Color Number of Stickers Brown 15 Green 18 Yellow 22 Orange 24 Red 19 Blue 13 How is the histogram for the stickers from the small package distributed?
( Algebra 2 Normal Distribution )
The histogram for the stickers from the small package is distributed as follows:
Normally.
How to obtain the distribution of the histogram?To obtain the distribution of the histogram, we must correctly identify the mean and the median of the distribution.
Hence the distribution is defined as follows:
Mean greater than median: Positively(right) skewedMean less than the median: Negatively(left) skewedThe ordered distribution is given as follows:
13, 15, 18, 19, 22, 24.
Hence the median is of:
(18 + 19)/2 = 18.5.
The mean is of:
(13 + 15 + 18 + 19 + 22 + 24)/6 = 18.5.
They are equal, hence the histogram is normal = symmetric;
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Solve the system of linear equations by graphing. y=x-2 y=+2
Answer:
The "solution" is the intersection point of the two lines when drawn on a graph plot.
Explanation:
If a graphical plot is made with sufficient resolution linear equations may be solved by observing the solution point(s) on the graph coordinates.
Ellis drinks 12 ml of yogurt drink every day. The carton holds 1.5L. How many days will the carton last?
Answer:
125 days
Step-by-step explanation:
1.) First, you need to make the number equivalent!
1.5L=1500mL
2.) Then you need to divide 1500mL by how much she drinks every day!
1500mL divide by 12mL = 125 days
So the carton will last 125 days
:) Hope you have a good day!
Answer:
the carton will last for 125 days
Step-by-step explanation:
carton contain 1.5L
1.5L= 1.5×1000ml
= 1500ml
1day=12ml
1/12 ×1500 days = 1500ml
125 days = 1500ml
If Ellis drink 12ml of yoghurt everyday then the carton with 1.5L will last for 125 days.
To pay for a home improvement project that totals $16,000, Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years or paying with a credit card that compounds monthly at an annual rate of 15% for 7 years. Which plan would give Genesis the lowest monthly payment?
The monthly credit card payment would be $511.11, which is lower than the monthly payment on the bank loan.
The monthly payment on a bank loan would be $480, which is lower than the monthly credit card payment.
The monthly payment on a bank loan would be $551.11, which is lower than the monthly credit card payment.
The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.
Answer: The monthly payment on a bank loan would be $480, which is lower than the monthly credit card payment.
To calculate the monthly payment on the bank loan, we can use the formula:
monthly payment = P * (r / (1 - (1 + r)^(-n)))
where P is the total loan amount, r is the annual interest rate as a decimal, and n is the number of months of the loan.
For a loan of $16,000 at 8% interest for 3 years (36 months)
r = 0.08/12 = 0.0067
n = 36
P = 16000
So, the monthly payment = 16000 * (0.0067 / (1 - (1 + 0.0067)^(-36))) = 480
To calculate the monthly credit card payment, we can use the formula:
M = P * r * (1 + r)^n / [(1 + r)^n - 1]
where P is the total loan amount, r is the monthly interest rate, and n is the number of months of the loan.
For a credit card with an annual rate of 15% for 7 years (84 months)
r = 0.15/12 = 0.0125
n = 84
P = 16000
So, the monthly payment = 16000 * 0.0125 * (1 + 0.0125)^84 / [(1 + 0.0125)^84 - 1] = 511.11
As we can see the monthly payment on the bank loan is lower than the monthly credit card payment. So, the correct answer is "The monthly payment on a bank loan would be $480, which is lower than the monthly credit card payment."
A Circular metal column is to support a load of 500 Tonne and it must not compress more than 0.1mm. The modulus of elasticity is 210 GPa. the column is 2m long. Calculate the cross sectional area of and the diameter.
If a triangle cannot have the given angle measures, write a new value for the first angle in the box so that the angle measures form a triangle.
The original value for the first angle so that the angle measures form a triangle is 39.5°
Interior angles of a triangleFor any triangle to be formed, its three interior angles must sum up to 180°. Thus the sum of the interior angles of a triangle is 180°
Considering, the angles: 115.1°, 47.5° and 93°, their sum which is 255.6° is not equal to 180° so they cannot form a triangle.
but a new value represented by x for the first angle 115.1° can be derived as follows;
x + 47.5° + 93° = 180°
x + 140.5 = 180° {subtract 140.5° from both sides}
x = 180° - 140.5°
x = 39.5°
Therefore, the new value for the first angle 115.1° that will make the angle measures form a triangle is 39.5°
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Match the points labeled on the curve below with the given slopes in the following table. slope -3 -1 0 1/2 1 3 label R: B: C: A: D: E:
Based on whether the function is increasing or decreasing, the slope values are calculated. Then, the required slope values of A, B, C, D, E, and F are 1/2, 0, 1, 3, -3, and -1.
We match the slopes with the points in the given graph. For this, we must know that,
When the tangent to the curve is horizontal, the slope is zero.When the function is descending, the slope is negative.When the function is rising, the slope is positive.We may determine the rate at which the function is increasing or decreasing by measuring the slope's magnitude. Here, in this graph, first, the slope is zero at B. Therefore, the value of the slope in B is zero (0).
We can determine from the graph that the slope is descending at points E and F. Additionally, the slope is ascending at points A, C, and D.
Therefore, slope D> slope C> slope A> slope B. So, the slope values for D, C, and A are 3, 1, and 1/2 respectively.
Also, slope F> slope E. So, the slope values for F and E are -1 and -3.
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Please help
If y=4x+7/2 what is y when x is 5?
Answer:
Step-by-step explanation:
y=4x + (7/2)
when x=5
y=4(5)+ (7/2)
=20+3.5 or 20+ (7/2)
=23.5 or (40+7)/2 =47/2 =23.5
Gabriella is working two summer jobs, making $16 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work no more than 13 total hours and must earn a minimum of $120.
The inequalities that represent the situation can be presented as follows;
x + y ≤ 13
16·x + 6·y ≥ 120
Please find attached the graph of the inequality created with MS Excel
What is an inequality?An inequality is a non equal comparison between expressions, quantities, or numbers.
The specified information are;
The amount Gabriella makes lifeguarding = $16 per hour
The amount she makes walking dogs = $6 per hour
The maximum number of hours Gabriella can work in a week = 13 hours
The minimum amount Gabriella must earn in a week = $120
Let x represent the number of hours Gabriella spends lifeguarding, and let y represent the number of hours Gabriella spends walking dogs.
The system of inequalities that can be obtained based on the above details are;
x + y ≤ 1316·x + 6·y ≥ 120The graph of the above inequalities can be obtained by making y the subject of the inequalities as follows;
y ≤ 13 - x
y ≥ (120 - 16·x)/6 = 20 - (8/3)·x
y ≥ 20 - (8/3)·x
The feasible region is in the triangle with vertices (13, 0), (7.5, 0), (4.2, 8.8)
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How do you solve this?
∠1and∠2 form a linear pair, so by the Supplement Postulate, they are supplementary. That is, m∠1+m∠2=180°. m∠2+m∠3=180°.
What are the measures of ∠ 1 and ∠ 2?We must determine the dimensions of angles 1 and 2. The geometric property can be used to: When two chords collide inside of a circle, the angle that is created is half the total of the intercepted arcs of the chords. In light of this, m1 = 50° and m2 = 130°.
According to the diagram, the angles 1 and 3 are vertical, and m1 = 90. Since their measurements are equivalent, m3 = 90 and 1 and 2 are additional. Angles 1 and 2 compliment one another. Two additional angles, the total of whose measurements equals 180 degrees.
The angles 1 and 2 complement one another. Because they have a similar side, angles 1 and 2 are neighbouring angles. Adjacent angles are two angles in a plane that do not share interior points but do share a vertex and a side.
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2 1.2.3 Quiz: The Distance Formula
Question 3 of 10
If A=(4,-5) and 8 (7,-9), what is the length of AB?
OA. 6 units
OB. 8 units
C. 7 units
OD. 5 units
If A=(4,-5) and 8 (7,-9), 7 units is the length of AB
What is the length of AB?The length of AB is the distance between the two points A and B.To calculate this, we use the distance formula, which is given by the square root of the difference between the squares of the x-coordinates, plus the difference between the squares of the y-coordinates.In this case, A has coordinates (4,-5) and B has coordinates (7,-9), so the distance formula can be written as:distance = √( (7−4)^2 + (−9−(−5))^2 )
Plugging in the numbers and solving, we get:
distance = √( (3)^2 + (−4)^2 )
distance = √( 9 + 16 )
distance = √49
distance = 7 units
Therefore, the length of AB is 7 units.
The length of the line segment AB is the distance between the two points A and B.To calculate the length of AB, we will use the distance formula, which is the square root of the sum of the squares of the differences of the x-coordinates and y-coordinates of A and B.In this case, the distance formula would be: √[(7 - 4)² + (-9 - (-5))²] = √[(3)² + (-4)²] = √49 = 7 units. Therefore, the length of AB is 7 units.To learn more about The Distance Formula refer to:
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these are the answer choices:
The object is not moving.
The object is moving in the forward direction at a constant velocity.
The object is slowing down in the backward direction.
The object is changing directions.
The object is speeding up in the forward direction.
If they are all correct i will give the brainliest
The answers to each part of the labelled graph is given below.
What is a function? What is a quadratic function?A function describes a relationship between a dependent and independent variable. Example -
y = f(x) = 5x + 9
Given are the distance - time (x{t}) and the velocity - time, (v{t}) graphs as shown in the image.
We can conclude for each part of the graph as -
{A} →The object is moving in the forward direction at a constant velocity.
{B} →The object is not moving.
{C} →The object is slowing down in the backward direction.
{D} →The object is changing directions.
{E} →The object is speeding up in the forward direction.
Therefore, the answers to each part of the labelled graph is given above.
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The scale that would be applied to Figure A to produce Figure B is ___ : ___
The scale factor that would be applied to Figure A to produce Figure B is 10/3 = 3 (1/3).
What is scaling?By scaling, we can create a drawing of an object that corresponds to the object's true size. In geometry, scaling refers to either growing or reducing figures in order to preserve their fundamental shape. Similar figures are those that have been scaled.
Given two pentagons in Figure A and figure B.
We are asked the scale factor from figure A to figure B.
Hence the final figure is figure B and the initial figure is Figure A.
The scale factor of any figure is defined as formulated as:
Scale factor = Dimensions of final figure ÷ Dimensions of original figure
According to the given figures we can observe that:
Length of the base of the pentagon in figure A is 5 inches, and that of figure B is 1 (1/2) = 3/2 inches.
Substituting the dimensions in the formula of the scale factor we have:
Scale factor = 5 ÷ (3/2)
Scale factor = 10/3
Converting into mixed fraction:
10/3 = 3 (1/3)
Hence, the scale factor that would be applied to Figure A to produce Figure B is 10/3 = 3 (1/3).
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From the given functions from Z x Z to Z, identify the onto functions. (Check all that apply.) Check All That Apply
a. f(m, n) = 2m-n b. f(m, n) = m 2-n2 c. f(m, n) m + n+1 d f(m, n) = |m|-|n|
The onto functions (surjective functions) are:
c. f(m, n) = m + n + 1.
At first we have to identify onto (surjective) functions from Z x Z to Z, we need to check if each element in the codomain (Z) has at least one preimage in the domain (Z x Z).
a. f(m, n) = 2m - n
This function is not onto because for odd numbers in the codomain (Z), there is no pair of integers (m, n) in the domain that will map to them.
b. [tex]f(m, n) = m^2 - n^2[/tex]
This function is not onto because for negative numbers in the codomain (Z), there is no pair of integers (m, n) in the domain that will map to them.
c. f(m, n) = m + n + 1
This function is onto. For any integer 'z' in the codomain (Z), we can find a pair of integers (m, n) in the domain such that m + n + 1 = z.
For example, if z = 0, we can choose m = 0 and n = -1, and then m + n + 1 = 0.
d. f(m, n) = |m| - |n|
This function is not onto because negative numbers in the codomain (Z) cannot be obtained from the domain (Z x Z).
For example, there is no pair of integers (m, n) in the domain that maps to -1.
Hence, The onto functions (surjective functions) are:
c. f(m, n) = m + n + 1.
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What is the name of this type of question i want to look up some practice questions but I dont know what to search
These types of questions are categorized under exponential equations which involve addition, subtraction, multiplication, and division of exponents.
What are exponents?Exponents is the term used to describe a way to represent huge numbers using powers. In other words, the exponential describes how many times a number has been multiplied by itself. Various rules of exponents are presented according to the capacities they possess.
The following rule governs multiplication: Add the exponents while maintaining the base's consistency.
When bases are raised by a power of two or more, multiply the exponents while maintaining the original base.
Division Rule: When dividing like bases, take the exponent of the denominator and divide it by the exponent of the numerator, keeping the exponential base constant.
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kaden used 2.25 cups of water in his lemonade mixute that serves 9 people how much more water is in one serving in christian lemonade
division
john stops at toy store a to buy 16 toy cars. Toy store A sells 6 toy cars for $4.20. John stops at toy store b and sees that they sell 4 toy cars for $3.80. How much money did John save by buying toy cars at toy store A?
Hiroto has 13 fish in one tank in a second tank hiroto has 8 more fish than there are in the first tank. How many fish are in the second tank?
Answer:
First tank = 13 fish
Second tank = 13 fish + 8 more fish
13 + 8 = 21 fish in the second tank.
Evaluate 3(x+4)(x+1) /(x+2)(x-2) for x =4
Answer:
A) 10
Step-by-step explanation:
3(8)(5) / 6(2) = 120/12 which equals 10
Answer: A = 10
Step-by-step explanation:
substitute the value of the variable into the equation and simplify
Hope this helps !
hat 7. Jenna says that Function A and
Function B have the same initial
value. Is Jenna correct? Justify
your response.
Function A
Fa
256
5
d
at
Function B
X 2 4 6 8 10
6 7
8 9
y
5
On solving the provided question, we can say that the given function, f(6)=26.
What does the function do?where a, b, and c are numbers and an is not equal to zero, is quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" shape.
f(n^2) = f(n) + 6
On putting n=2,
we get,
f(4) = f(2^2) = f(2) + 6 = 8 + 6 = 14
On putting n=4, we get
f(16) = f(4^2) = f(4) + 6 = 14 + 6 = 20
On putting n=16, we get
f(256) = f(16^2) = f(16) + 6 = 20 + 6 = 26
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Please help me finding the answer, porfa ayúdenme a encontrar la respuesta
The angles of the rhombus are
m∠ADC = 58°
m∠BCD = 122°
What is a rhombus?
An example of a quadrilateral is a rhombus. It is a unique instance of a parallelogram in which the diagonals bisect each other at a 90° angle and all sides are equal.
The properties of a rhombus are:
The rhombus has an equal number of sides.In a rhombus, the opposing sides are parallel.In a rhombus, the opposing angles are equal.Diagonals in a rhombus cut each other at right angles.A rhombus' angles are bisected by diagonals.The adjacent angles added together equal 180 degrees.From the figure,
In ΔDOC.
∠ODC = 180° - ( 90+61) = 29°
The diagonal bisects ∠ADC
So ∠ADC = 2∠ODC = 2 × 29° = 58°
Since the diagonal bisects the angle, ∠BCD = 2∠ACD
= 2×61° = 122°
Therefore the angles of the rhombus are
m∠ADC = 58°
m∠BCD = 122°
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Please help me please due soon! tax problem i think but please help me
The amount in sale tax, Suzanne paid for the computer upgrades is 21.03 dollars.
How to find the amount paid for the computer upgrade?Suzanne buys upgrades for her computer . The upgrades cost $311.60 before taxes. The sales tax rate is 6.75%.
Therefore, the amount of sales tax Suzanne paid for the computer upgrades can be calculated as follows;
A sales tax is a tax paid to a governing body for the sales of certain goods and services.
amount of the sale tax = 6.75% of 311.60
amount of the sale tax = 6.75 / 100 × 311.60
amount of the sale tax = 2103.3 / 100
Therefore,
amount of the sale tax = 21.033
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Suppose a car runs over a nail while driving at a speed of 61 miles per hour, and the nail is lodged in the tire tread 14 inches from the center of the wheel.
What is the angular velocity of the nail in radians per hour?
263,187.70 rad / hour is the angular velocity of the nail in radians per hour.
What is angular velocity?A pseudovector used in physics to express how quickly an object's angular position or orientation changes over time is called an angular velocity, rotational velocity, or angular frequency vector. angular velocity is the speed at which an object rotates or revolves around an axis or alters the angle between two bodies. This displacement is depicted in the illustration by the angle between a line on one body and a line on the other.The equation relating angular velocity and linear velocity is:
w = v / r
where,
w = angular velocity, v = linear velocity, and r = radius
Since r is in inches, convert v to inches:
v = (54 miles per hour) * (63360 inches / mile)
v = 3,421,440 inches / hour
Solving for w:
w = (3,421,440 inches / hour) / 13 inches
w = 263,187.70 rad / hour
To learn more about angular velocity refer to:
https://brainly.com/question/1452612
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