According to the definition of different number sets, 23 is an element of:
1) Natural number set
2) Whole number set
3) Integers set
4)Rational number set ( it can be written as 23/1)
A similar question is attached below.
What are the different number sets?
The different number sets are:
Natural numbersNatural numbers are the collection of positive integers from 1 to infinity. The letter "N" stands for the set of natural numbers.
Whole numbersNatural numbers with a zero are another name for whole numbers. The set is made up of non-negative integers without any fractional or decimal parts. The letter "W" stands for the whole number set.
Integers
The set of all whole numbers with a negative set of natural numbers is known as an integer. The letter "Z" stands for the integer set.
Rational numbersEvery integer that can be expressed as p/q, or as a ratio of one number to another, is referred to be a rational number. The letter "Q" can be used to signify a rational number.
Irrational numberThe number that cannot be represented by p/q. It denotes a number as being irrational if it cannot be expressed as a ratio of one to another. The letter "P" is used to signify it.
Therefore according to the definition of different number sets, 23 is an element of:
1) Natural number set
2) Whole number set
3) Integers set
4)Rational number set ( it can be written as 23/1)
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This is a picture of a coordinate grid.(click the picture) which ordered pair describes a point that is located three units to the left of the origin and for units above the x axis.
A, (-3, 4)
B, (3, -4)
C, (-4, -3)
D, (4, -3)
Answer:
Step-by-step explanation:
A- (-3,4)
left on the x-axis would result in negative 3
4 units above the x-axis would result in postive 4
2x+6 in distributive property then into a expression
Answer:
2(x+3)
Step by Step:
2(x)=2x
2(3)=6
2x+6=2(x+3)
2(x)+2(3) =2 (x+3)
Ninety percent of juniors in high school have their driver’s license. If Eagle Mountain High has 576 juniors with a driver’s license, then
how many juniors are enrolled?
There are 640 juniors enrolled in Eagle Mountain High school.
Define the term Percentage?Percentage can be define as the way of shown a number as a fraction of 100. The word "percent" comes from the Latin per centum, which means "by the hundred." Percentages are commonly used to represent proportions or rates, and they are denoted using the symbol "%".
Let's denote the total number of juniors in the high school as "x".
From the problem, we know that 90% of the juniors have a driver's license. We can express this as:
0.9x = 576
To solve for x, we can divide both sides by 0.9:
x = 576 / 0.9
x = 640
Therefore, there are 640 juniors enrolled in Eagle Mountain High school.
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1. Amy wants to her ice cream cone filled exactly to the top. The radius of the cone is 2 in. and the height is 6 in. How much ice cream will it take to fill the cone?
2. Jack is going to fill his beach ball with water. The radius of the ball is 24 in. How much water will it take to fill the beach ball?
3. Mary is sending her sister as summer camp a square box filled with tiny candies. The side of the box measures 6 in. How much candy will it take to fill the box?
4. Jim and Mary are competing in a math contest. They have to calculate how much it takes to completely fill a canister with a radius of 4 in. and a height of 5 in. with flour. How much flour will it take to fill the canister?
5. Aunt Lillian needs to fill a shoebox with packing material. The box measured 9 in by 5 in by 5 in. How much packing material does she need to fill the box?
(It doesn’t matter what the size, the formula stays the same….)\
PLEEAAASEEE HELLLP
1. The volume of a cone is 8π cubic inches.
2. The volume of a sphere is 8π cubic inches.
3. The volume of a cube is 8π cubic inches.
4. The volume of a cylinder is 8π cubic inches.
5. The volume of a rectangular prism is 8π cubic inches.
What is volume?The volume of a thing is the area that it occupies in three dimensions. Space is what a thing occupies, to put it simply.
1. The volume of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height. Substituting the given values, we get V = (1/3)π(2²)(6) = (4/3)π(6) = 8π cubic inches.
2. The volume of a sphere is given by V = (4/3)πr³, where r is the radius. Substituting the given value, we get V = (4/3)π(24³) = 18432π cubic inches.
3. The volume of a cube is given by V = s³, where s is the side length. Substituting the given value, we get V = 6³ = 216 cubic inches.
4. The volume of a cylinder is given by V = πr²h, where r is the radius and h is the height. Substituting the given values, we get V = π(4²)(5) = 80π cubic inches.
5. The volume of a rectangular prism is given by V = lwh, where l, w, and h are the length, width, and height, respectively. Substituting the given values, we get V = (9)(5)(5) = 225 cubic inches.
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Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
What is the sum of the solutions for the
equation 4x^2- 8x - 12 = 0?
A) -4
B) -2
C) 2
D) 4
The sum of the solutions for the equation 4x²- 8x - 12 = 0 will be 2. The correct option is C.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
To find the sum of the solutions of the equation 4x^2-8x-12=0, we first need to find the solutions of the equation. We can start by factoring in the left-hand side of the equation:
4x²-8x-12=0
4(x²-2x-3)=0
4(x-3)(x+1)=0
So the solutions of the equation are x=3 and x=-1. The sum of these solutions is:
3 + (-1) = 2
Therefore, the answer is C) 2.
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PLEASE HELP!! I do not understand how to try to solve this!!
Fractions
Barbara, Donna, Cindy and Nicole ran in a relay race. Their times are listed in the chart below
Barbara - 3 3/10
Donna- 2 4/5
Cindy- x
Nicole- 2 1/10
Question- The four girls ran in a relay race as a team. Each girl ran one part of the race. The teams total time was 11 3/5 minutes. What was Cindy's time?
Please help, I can't figure out how to solve this correctly.
Answer:
Cindy's time was 5 2/5 minutes, or 5.4 minutes to the nearest tenth.
Step-by-step explanation:
To find Cindy's time, we need to use the information given about the total time and the times of the other three runners.
Let's first convert all the times to fractions of a minute:
Barbara: 3 3/10 = 3 + 3/10 = 3.3 minutes
Donna: 2 4/5 = 2 + 4/5 = 2.8 minutes
Cindy: x minutes
Nicole: 2 1/10 = 2 + 1/10 = 2.1 minutes
Now, we can set up an equation to represent the total time of the team:
Barbara's time + Donna's time + Cindy's time + Nicole's time = 11 3/5 minutes
Substituting the values we know:
3.3 + 2.8 + x + 2.1 = 11 3/5
Simplifying and converting mixed numbers to fractions:
8/5 + 14/5 + x + 11/5 = 116/10 + 3/5
Multiplying both sides by 10 to eliminate the denominators:
16 + 28 + 10x + 22 = 116 + 6
Simplifying:
10x = 54
Dividing by 10:
x = 5.4
Therefore, Cindy's time was 5 2/5 minutes, or 5.4 minutes to the nearest tenth.
Sasha solved an equation. The last line of her solution is 0 = 13. Sasha says that the solution to her equation is 13. Is she correct? Why or why not?
Answer:
No, Sasha's conclusion is not correct. If her last line is 0 = 13, this means that 0 is equal to 13, which is not true. Therefore, there is no solution to the equation that Sasha solved.
It's possible that Sasha made an error in her algebraic manipulations that led to this incorrect conclusion. It's also possible that there is no solution to the equation. In either case, the fact that her last line is 0 = 13 indicates that there is an error in her solution or that the equation is inconsistent and has no solution.
Step-by-step explanation:
step-by-step explanation of why Sasha's conclusion is not correct:
Given: Sasha's last line of her solution is 0 = 13.
Recall that the goal of solving an equation is to find the value(s) of the variable that make the equation true.
If the equation is true, then both sides of the equation should be equal.
However, Sasha's last line states that 0 is equal to 13. This is not true, since 0 is not equal to 13.
Therefore, the conclusion that the solution to the equation is 13 is not correct.
It's possible that Sasha made an error in her algebraic manipulations, which led to this incorrect conclusion.
Alternatively, it's possible that the equation itself is inconsistent and has no solution.
In either case, the fact that Sasha's last line is 0 = 13 indicates that there is an error in her solution or that the equation is inconsistent and has no solution.
No, Sasha's conclusion is not correct. If her last line is 0 = 13, this means that 0 is equal to 13, which is not true. Therefore, there is no solution to the equation that Sasha solved.
Why is there no solution?It's possible that Sasha made an error in her algebraic manipulations that led to this incorrect conclusion. It's also possible that there is no solution to the equation. In either case, the fact that her last line is 0 = 13 indicates that there is an error in her solution or that the equation is inconsistent and has no solution.
Given: Sasha's last line of her solution is 0 = 13.
Recall that the goal of solving an equation is to find the value(s) of the variable that make the equation true.
If the equation is true, then both sides of the equation should be equal.
However, Sasha's last line states that 0 is equal to 13. This is not true, since 0 is not equal to 13.
Therefore, the conclusion that the solution to the equation is 13 is not correct.
It's possible that Sasha made an error in her algebraic manipulations, which led to this incorrect conclusion.
Alternatively, it's possible that the equation itself is inconsistent and has no solution.
In either case, the fact that Sasha's last line is 0 = 13 indicates that there is an error in her solution or that the equation is inconsistent and has no solution.
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The data below shows the colors preferred by a group of people. We want to plot this on a pie chart. What will be the central angles of each of these categories?
Red=
blue=
green=
purple=
All the central angles are,
Red= 100°
blue= 150°
green= 50°
purple= 60°
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The data below shows the colors preferred by a group of people.
Cooler Number of people
Red= 20
blue= 30
green= 10
purple= 12
Now, Total number of Peoples is,
⇒ 20 + 30 + 10 + 12
⇒ 72
Hence, We get;
Proportion of Red = 20/72 = 5/18 = 10/36
Central angle = 5/18 x 360 = 100°
Proportion of Blue = 30/72 = 15/36
Central angle = 15/36 x 360 = 150°
Proportion of Green = 10/72 = 5/36
Central angle = 5/36 x 360 = 50°
Proportion of Purple = 12/72 = 1/6 = 6/36
Central angle = 1/6 x 360 = 60°
Thus, All the central angles are,
Red= 100°
blue= 150°
green= 50°
purple= 60°
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What is the measure of the three missing angles in the rhombus below?
Answer: see bellow
Step-by-step explanation: Z is 80 Y is 90 and x is 90
This works because each measure is the same arcoss!!!
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Answer:
x = y = 100° z = 80°Step-by-step explanation:
We are interested in finding out the missing angles of the rhombus . Some properties of rhombus that needs to be kept in mind are ,
Opposite angles are equal.All sides are equal.Opposite sides are parallel.[tex]\implies z = 80^o \\[/tex]
[tex]\implies x = y \\[/tex]
Now since the opposite sides are parallel, the sum of co interior angles would be 180° .
Here x and 80° are co interior angles. So their sum would be 180° . Hence,
[tex]\implies x + 80^o = 180^o \\[/tex]
[tex]\implies x = 180^o - 80^o \\[/tex]
[tex]\implies x = 100^o\\[/tex]
Now since x and y were equal , therefore,
[tex]\implies y = 100^o \\[/tex]
Therefore the value of x is 100° , z is 80° and y is 100° .
Given: AABC with altitude h
Prove: sin(B) sin(C)
B
sin (B)
csin (B)
sin(B)
=
Statements
AABC with altitude h
=
a
h
b
sin(C)
с
given
h, sin (C) = definition of sine
= h, bsin (C) =
Reasons
h
transitive property of equality
1st drop down: multiplication property of equality, substitution property of equality, division, property of equality
2nd drop down: cSIN(A)=bSIN(C), cCOS(B)=bCOS(C), cSIN(B)=bSIN(C)
3rd drop down: substitution property of equality, division, property of equality, multiplication property of equality
So, it is proven that the area of triangle ABC is 1/2*a*b*sinC .
What is a triangle?A triangle is a 2D shape having three sides and the sum of all angles is 180°. A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
We have,
A ΔABC,
And,
AB = c
BC = a
CA = b
H = Altitude of the triangle,
Now,
Area of triangle = 1/2* base* height
i.e.
Area of triangle ABC =1/2*a*h .....(i)
Now,
Using trigonometric ratios,
sinC = perpendicular/hypotenuse
i.e. sinC = h/b
We get,
h = b * SinC
Now,
putting this value in equation (i),
We get,
Area of triangle ABC=1/2*a*b*sinC
So, It is proved that area of triangle ABC =1/2*a*b*sinC ,
Hence, we can say that it is proven that the area of triangle ABC is 1/2*a*b*sinC , using trigonometric ratios and the triangle's area formula.
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Solve for x 2x+3-4=10
Answer:
x = 5.5
Step-by-step explanation:
2x + 3 - 4 = 10
2x - 1 = 10
2x = 11
x = 5.5
Let's check
2(5.5) + 3 - 4 = 10
11 + 3 - 4 = 10
14 - 4 = 10
10 = 10
So, x = 5.5 is the correct answer.
Answer: x = 5.5
Step-by-step explanation:
To solve, we will isolate the variable x.
Given:
2x + 3 - 4 = 10
Combine like terms on the left side:
2x - 1 = 10
Add 1 to both sides of the equation:
2x = 11
Divide both sides of the equation by 2:
x = 5.5
Y= 4x-3.
Y= -2x+9 solve the system of equations
Answer:
[tex]y=7,\:x=1[/tex]
Step-by-step explanation:
Given that:
[tex]y=4x+3,\:y=-2x+9\\\\\mathrm{Substitute\:}y=-2x+9\\\\\implies -2x+9=4x+3\\\\\implies -2x-4x = 3-9\\\\\implies -6x = -6\\\\\implies x = 1\\\\\mathrm{For\:}y=-2x+9\\\\\mathrm{Substitute\:}x=1\\\\y=-2\cdot \:1+9\\\\\mathrm{Simplify}\\\\y=7\\\\\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\\\\y=7,\:x=1[/tex]
Answer:
y=4x-3
y= 1
Y = -2x+9
Y=7 ans
George buys a set of 224 stamps he gives 44 stamps to a friend
Answer:
what am i suppose to answer !!!!
Answer:
he has 180 left
Step-by-step explanation:
because 224-44=180
On jeopardy during the month of September the champions Won a total of $694563 assuming that there were 22 jeopardy shows in September what was the average amount won each day by the champions
Answer:
To find the average amount won each day by the champions, we need to divide the total amount won by the number of days:
Average amount won each day = Total amount won / Number of days
Total amount won = $694,563
Number of days = 22
Average amount won each day = $694,563 / 22 = $31,611.95 (rounded to the nearest cent)
Therefore, the average amount won each day by the champions on Jeopardy in September was approximately $31,611.95.
Step-by-step explanation:
complete the number pattern 9;27;81?
Answer:
243
Step-by-step explanation:
Going in times 3 so 81 x 3 = 243
Cera and Bethany save money using savings accounts
opened on the same day. Both deposit $20 to start and an
additional $15 each week. The graph represents the total
amount, y, in each savings account after x weeks. Describe
the number of solutions modeled in the graph and what it
means for the situation. How can you change the situation
so that the graphs model a different number of solutions?
Explain your reasoning
This could result in one, two, or multiple points of intersection, depending on the specific values of the deposits and the rates of increase.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
we can assume that the graph of Cera's and Bethany's savings accounts will show the total amount of money in their accounts after a certain number of weeks.
Since both Cera and Bethany deposit the same amount of money and make the same additional deposits each week, their savings will increase at the same rate. Therefore, the graph will likely show two parallel lines that start at $20 and increase by $15 per week.
The number of solutions modeled by the graph will depend on whether the two lines ever intersect. If the lines do not intersect, then there is no solution to the system of equations that model the two savings accounts. In other words, there is no point at which the total amount of money in both accounts is the same.
On the other hand, if the lines do intersect, then there is at least one solution to the system of equations. In this case, the point of intersection represents the week at which the total amount of money in both accounts is the same.
To change the situation so that the graphs model a different number of solutions, we could change the initial deposit or the amount of money deposited each week for one or both of the savings accounts. For example, if Cera starts with a higher initial deposit than Bethany, or if Cera deposits more money each week, then their savings will increase at different rates and the lines on the graph will not be parallel.
Therefore, This could result in one, two, or multiple points of intersection, depending on the specific values of the deposits and the rates of increase.
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solve each system using substitution
y=1/2x+4
x-y=8
We are given the following system of equations:
y = (1/2)x + 4 ---(1)
x - y = 8 ---(2)
We can solve this system of equations by substitution method.
From equation (2), we have:
x - y = 8
Solving for x, we get:
x = y + 8
Substitute this value of x in equation (1):
y = (1/2)(y+8) + 4
Simplifying and solving for y, we get:
y = 2
Now, substitute this value of y back in equation (2) to find the value of x:
x - 2 = 8
x = 10
Therefore, the solution of the given system of equations is (x, y) = (10, 2).
Assume that the variable represents a positive real number.
The variable represents a positive real number, it can be simplified as follows [tex]u^{19/2}[/tex].
What are exponents?The amount that indicates how many times to multiply the base is known as an exponent. The base is the larger number at the bottom, while the exponent is the smaller number on top.
The reverse of an exponent is a root, which involves determining the base given an exponent. Thus, if the square root of 64 has to be obtained, find the number that has been multiplied by itself twice.
The given expression is:
√u¹⁹
Using the exponents rule we have:
[tex]u^{19/2}[/tex]
Hence, the variable represents a positive real number, it can be simplified as follows [tex]u^{19/2}[/tex].
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PLEASE HELP!! THIS IS DUE TONIGHT
The scale factor is 2/3 and the value of x and y are 9 and 10 respectively
What are similar shapes?Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors. Equal scale factors mean that the lengths of their corresponding sides have a matching ratio.
scale factor = length of new shape/ length of original
= 8/12 = 2/3
x = 6 ÷ 2/3
x = 6 × 3/2
x = 9
y = 15 × 2/3
y = 10
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An
18
inch pizza from Pizza Pi has
12
servings and
1
,
725
calories. Kayla has enough pizza for each person to eat one slice. If Kayla has
8
,
625
calories worth of pizza, how many people does she feed?
Answer:
60Step-by-step explanation:
We need to divide 8625/1725
I used calculator and got 5.
Kayla has 5 pizzas.
Each pizza has 12 slices so we multiply 5x12.
That is 60.
FAQ:
Why do we multiply 5 by 12?
Answer: Each pizza has 12 slices. If we want to know how many slices 2 pizzas have, we would multiply 12 by 2. The ratio of pizza to slice is 12:1.
Pizza is 12x bigger than individual slice
(I want pizza now)
The cost of one burrito b, and one taco a is less than the cost of two burritos. Which
inequality represents this relationship?
b+a<2b
b+a
b+a> 2b
b + a ≤ 2b
Answer:
The inequality that represents this relationship is:
b + a < 2b
Find m < G in the image below (help asap please!!!)
Answer: m∠G = 41°
Step-by-step explanation:
Opposite angles of parallelograms are congruent. This means that m∠G = m∠E, so we can write an equation using the given information.
Given:
m∠G = m∠E
Substitue:
5x - 9 = 3x + 11
Add 9 to both sides of the equation:
5x = 3x + 20
Subtract 3x from both sides of the equation:
2x = 20
Divide both sides of the equation by 2:
x = 10
Then, we will substitute this value of x back into the expression for m∠G.
5x - 9 = 5(10) - 9 = 50 - 9 = 41°
Josslyn's workout consists of swimming and practicing yoga. While swimming she burns 7 calories per minute, and while practicing yoga she burns 5 calories per minute. Josslyn wants to burn at least 500 calories each day.
Let x be the number of minutes she spend swimming and let y be the number of minutes she spends practicing yoga. Write an inequality that models this situation.
Answer:
Step-by-step explanation:
Josslyn burns 7 calories per minute while swimming and 5 calories per minute while practicing yoga. Let x be the number of minutes she spends swimming and y be the number of minutes she spends practicing yoga.
The total number of calories burned, C, is given by:
C = 7x + 5y
To burn at least 500 calories each day, we can write the inequality:
7x + 5y ≥ 500
This inequality states that the total number of calories burned from swimming and practicing yoga, 7x + 5y, must be greater than or equal to 500. Josslyn can achieve this goal by spending a combination of x minutes swimming and y minutes practicing yoga.
Find the degree of this polynomial.
8t5 + 5t4
Answer:
5
Step-by-step explanation:
The degree of a polynomial is the highest degree of its terms.
Identify the term with the largest exponent on the variable
Identify the degree of each terms
The degree of 8t5 is 5
The degree of 5t4 is 4
Degree of polynomial = 5
Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0, negative 2). A coordinate plane with a line passing through (negative 5, 4) and (0, 3). A coordinate plane with a line passing through (negative 4, negative 6) and (0, 3). A coordinate plane with a line passing through (negative 1, negative 4), (0, 0) and (1, 4). Mark this and return
The variable y is directly proportional to x, which is the definition of direct variation.
What is coordinate geometry?The intersection of two perpendicular lines, the x-axis and the y-axis, results in a 2D plane known as a coordinate plane. In geometry, a coordinate system is a method for calculating the positions of the points using one or more integers or coordinates.
The graph that represents a function with direct variation is a coordinate plane with a line passing through (0, 0) and some other point that is not the origin.
Out of the given options, the graph that represents a function with direct variation is the coordinate plane with a line passing through (negative 4, 0) and (0, negative 2).
This is because the equation of this line can be written in the form y = mx, where m is the slope of the line. In this case, the slope is:
m = (0 - (-2)) / (-4 - 0) = 1/2
So the equation of the line is y = (1/2)x - 2, which is in the form of y = kx, where k = 1/2. This means that y is directly proportional to x, which is the definition of direct variation.
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Need help asap! (50 points)
Answer:
8
Step-by-step explanation:
160×5%
[tex]\frac{160 * 5}{100}[/tex] = 8
Can someone help me please
use the Remainder Theorem and synthetic division please
The values of f(-10) = 20101 , f(2) = 17 , f(3) = 142.
What is polynomial?An expression consisting of variables, coefficients, and non-negative integer exponents is known as polynomial. For example, 2x² + 3x - 5 is a polynomial with three terms. The highest exponent of the variable is the degree of a polynomial. Polynomials can be used to represent many mathematical and scientific concepts, such as curves and functions.
To find f(-10), we need to substitute -10 for x in the given polynomial:
F(-10) = 2(-10)⁴ + (-10)²-10(-10) + 1
= 20000+100+100+1
= 20101
To find f(2), we again substitute 2 for x in the polynomial:
F(2) = 2(2)⁴ + (2)² -10(2) + 1
= 32+4-20+1
= 17
To find f(3), we can use synthetic division with 3 as the divisor. The coefficients of the polynomial are 2, 0, 1, -10, and 1.
F(3) = 142
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Use the percent formula, A=PB: A is P percent of B, to answer the following question. 20% of what number is 46.0?
Answer:
230
Step-by-step explanation:
trying to find (in this case, 46.0), P is the percentage (20%), and B is the whole amount we're looking for. We can write this equation as:
46.0 = 0.20B
To solve for B, we can divide both sides by 0.20:
B = 46.0 / 0.20
B = 230
Therefore, 20% of 230 is 46.0.
Fiona’s family is replacing a carpet