Kim's total salary for each month is given as follows:
$2,942.
How to obtain Kim's total salary?Kim's salary is divided into two earnings, as follows:
Fixed salary of $1,010.Commission of 12% on her sales.Kim's sales were $16,100 for last month, hence her commission is found applying the proportion as follows:
0.12 x 16100 = $1,932.
(the proportion is obtained multiplying the decimal equivalent of the percentage by the total amount to obtain the desired amount).
Then, adding to the fixed salary of $1,010, her total salary for the past month is obtained as follows:
1010 + 1932 = $2,942.
Missing InformationThe problem is incomplete, hence we suppose that it asks for Kim's total salary last month.
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From a plate of 18 apple slices, Nancy ate 3. Then Meg came along and ate 4 slices. Jim then ate 3 slices. Bruce took 6 slices for himself and a friend. in simplest form, what what fraction of the apple slices are still on the plate?
thanks for the points heres the answer 2
18
To find the end behavior
Answer:
hope this helps
Step-by-step explanation:
To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph
Simplify: 10 √3-√12-3√6
A.) 8√3-3√6
B.)10√3-√3-√6
C.)√12
D.) None of the above
[tex]8\sqrt{3}-3\sqrt{6}[/tex]
=============================================
Work Shown:
[tex]\text{x} = 10\sqrt{3}-\sqrt{12}-3\sqrt{6}\\\\\text{x} = 10\sqrt{3}-\sqrt{4*3}-3\sqrt{6}\\\\\text{x} = 10\sqrt{3}-\sqrt{4}*\sqrt{3}-3\sqrt{6}\\\\\text{x} = 10\sqrt{3}-2\sqrt{3}-3\sqrt{6}\\\\\text{x} = (10\sqrt{3}-2\sqrt{3})-3\sqrt{6}\\\\\text{x} = (10-2)\sqrt{3}-3\sqrt{6}\\\\\text{x} = 8\sqrt{3}-3\sqrt{6}\\\\[/tex]
-------------------------------
Therefore,
[tex]10\sqrt{3}-\sqrt{12}-3\sqrt{6}\\ \ \text{simplifies to} \\ 8\sqrt{3}-3\sqrt{6}\\\\[/tex]
In other words we can say
[tex]10\sqrt{3}-\sqrt{12}-3\sqrt{6}=8\sqrt{3}-3\sqrt{6}\\\\[/tex]
--------------------------------
Verification:
Use a calculator to compute the following.
[tex]10\sqrt{3}-\sqrt{12}-3\sqrt{6} \approx 6.507937\\\\8\sqrt{3}-3\sqrt{6} \approx 6.507937\\\\[/tex]
Since we get the same approximate decimal value, it helps us confirm the answer is correct.
Write 2.023 in repeated addition
The required repeated addition is given as 2.02 + 2.02 + 2.02.
What is repeated addition?The repeated addition of a number is the multiplication of the number with the number of times the number is repeated.
here,
The question seems to be incorrect,
The complete solution is provided at the end of the solution,
2.02 × 3, is the given expression, which is a multiplicative expression as 3 times of 2.02.
So the repeated addition is given as,
2.02 × 3 = 2.02 + 2.02 + 2.02
Thus, the required repeated addition is given as 2.02 + 2.02 + 2.02.
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Complete question.
Write 2.02 × 3 in repeated addition.
really fast can someone help with this? it’s literally due in like five minutes
On solving the provided question, we can say that - the initial value in number line will jump to +12 value
what is number line?A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.
here,
the initial value of the number line is = 15
and on adding 12
it will jump to = 15 + 12
= 27
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100 POINTS + BRAINLIEST
6. a) In 10 squares there are 22 dots
6. b) There are 102 squares are in the diagram which has 104 dots.
6. c) t(n) = a + (n - 1) d
7. a) mean = 6; median = 5
7. b) new card number = 14
This can be solved using geometic series concept.
What is geometric series?A geometric series is one where each pair of consecutive terms' ratios is a fixed function of the summation index. The ratio is a rational function of the summation index in a more comprehensive sense. creates what is known as a hyper geometric sequence. It is arithmetic if there is a common difference between the sequences. You can bet that anything is geometric if it has a common ratio. Similar to how the word arithmetic series denotes that each phrase is the arithmetic mean of its two neighbors, the name geometric series denotes that each term is the geometric mean of its two neighbors.
6. In the given figure we see that the dots are present here form a series.
In 1 square there are 4 dots.
In 2 squares there are 6 dots.
In 3 squares there are 8 dots.
So, they form a series.
a)
In 10 squares there are 22 dots
b)
There are 102 squares are in the diagram which has 104 dots.
c)
The formula of the series is:
t(n) = a + (n - 1) d
here a = 4 and d = 2
7.
a)
Jemina has 3 cards with the number of 5,2 and 11
Thus, mean = 5+2+11 /3 = 6
median = 5
b)
Next Jemina takes another card and the mean goes up by 2.
So, the number of new card:
2+5+x+11/4 = 8
or, 18 + x = 32
or, x = 14
So, new card number = 14
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Answer:
Step-by-step explanation:
6. a) In 10 squares there are 22 dots
6. b) There are 102 squares are in the diagram which has 104 dots.
6. c) t(n) = a + (n - 1) d
7. a) mean = 6; median = 5
7. b) new card number = 14
In the past month, Zayed rented 7 video games and 1 DVD. The rental price for each video game was .$2.70 The rental price for the DVD was $3.20. What is the total amount that Zayed spent on video game and DVD rentals in the past month?
Answer:
Step-by-step explanation:
$22.1
x^2-18x+81=4 solve completing the square
Answer:
x = 7 , x = 11
Step-by-step explanation:
x² - 18x + 81 = 4 ( subtract 81 from both sides )
x² - 18x = - 77
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 9)x + 81 = - 77 + 81
(x - 9)² = 4 ( take square root of both sides )
x - 9 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 9 to both sides )
x = 9 ± 2
then
x = 9 - 2 = 7
x = 9 + 2 = 11
Match each word problem to the equation that models it.
Answer:
see attached
Step-by-step explanation:
You want to match the given word problem with a suitable equation for solving it.
1. Sum of SquaresThe variable x is assigned to the larger of two numbers that differ by 2. That makes the smaller one (x -2). The sum of their squares is ...
x² + (x -2)² = 394
Simplifying, we get ...
x² +x² -4x +4 = 394
2x² -4x -390 = 0 . . . . . . . matches the first equation
2. FractionThe numerator of the fraction is 5 more than its denominator, x, so will be (x +5). Adding 3 to numerator and denominator, we get ...
[tex]\dfrac{(x+5)+3}{(x)+3}=\dfrac{4}{3}\\\\3(x+8)=4(x+3)\\\\\boxed{3x+24=4x+12}\qquad\textsf{matches the third equation}[/tex]
3. ReciprocalThe sum of x and its inverse is 4/3, so we have ...
x + 1/x = 4/3
Multiplying by 3x gives ...
3x² +3 = 4x
3x² -4x +3 = 0 . . . . . . . . . matches the second equation
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The diagram shows solid pyramid ABCDE.
The base BCDE of the pyramid is a horizontal square w side lengths 12cm
The vertex A of the pyramid is vertically above the midpoint of BD
The volume of the pyramid is 768cm3
Calculate the size of the angle between AB and the base of the pyramid.
The size of the angle between AB and the base of the pyramid 27.9⁰
How to determine the value of the angle?You should know that a pyramid is a polyhedron with a base that is a polygon
using the figure, The volume of the pyramid is 1/3 Bh
the area of the pyramid is 12*D = 144 cm²
= 1/3 * 14 * h = 768
Making h the subject of the formula
h= 16 cm
BO = √2 * 12/2 ÷6√2
this implies that Tan∅ = BD/BO = 6√2/16
Tan ∅ = 3√2/8
∅= 27.9⁰
In conclusion the size of the angle is 27.9⁰
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Express the function graphed on the axes below as a piecewise
function.
The functions graphed on the axes is expressed below:
F(x) = 2 for all x = (-∞, 3) to (3, ∞)
F(X) = 5 for x = [3]
What is a function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.
Given, a function in the graph below that is a straight line of y equal to 2 on all values of x except the x = 3
Thus the inequality of the given graph is
F(x) = 2 for all x = (-∞, 3) to (3, ∞)
F(X) = 5 for x = [3]
Therefore, the given graph is a straight line that shows a discontinuity at x =3.
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Please help with these 2 scatter plot questions
On solving the question, we can say that - herefore , the required inequality expression is 4.50x+1.75y ≤50
What is expression?A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
One cupcake costs $4.50,
So, “x” cupcakes cost = 4.50x.
One brownie cost $1.75,
so “y” brownies cost = 1.75y.
thus, the total 4.50x+1.75y must be less or equal to $50.
Therefore , the required inequality expression is 4.50x+1.75y ≤50
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A line passes through the point (3,-5) and has a slope of -8 write equation in slope intercept form
Answer:
Equation: y=-8x+19
Step-by-step explanation:
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
The correct representations of the inequality are -6x + 15 < 10 - 5x and x <-5. Options C and D
What are inequalities?Inequalities are described as mathematical relations that makes a non-equal comparison between two elements, variables, numbers or mathematical expressions.
They are often used to compare two numbers on the number line based their sizes.
From the information given, we have the inequality;
–3(2x – 5) < 5(2 – x)
expand the bracket
-6x + 15 < 10 - 5x
collect like terms
-6x + 5x < 10 - 15
add or subtract the like terms
-x < -5
Make 'x' the subject of formula
x < 5
Hence, the value is -6x + 15 < 10 - 5x
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The complete question:
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
It takes Thorton 4 hours to edit a video for his school. If he has already spent 2.5 hours on this video, what percent of the video is edited? Don’t forget to label and solve a decimal, not a fraction.
Using the concept of fraction, the percentage edited on the video is 62.5 percent.
What is PercentagePercentage is a standard mathematical concept used to express a portion of a whole number in terms of a hundred. It is denoted by the symbol “%” and is often expressed as a fraction or a decimal. For example, 25% can be expressed as 0.25 or 1/4.
In this problem, Thorton has done a 2.5 hours work. The percentage he has edited can be calculated using fraction or ratio as;
percentage edited = (2.5 / 4) × 100
Percentage = 0.625 × 100
Percentage = 62.5 %
From the above, Thorton has edited 62,5 percent of the video for his school project.
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How much money does Conor earn each minute he does yard work, if he works 3.25 hours at $9 an hour?
The money earned by Conor if he works 3.25 hours at $9 an hour is $29.25.
What is multiplication?The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.
Given:
The pay rate for the work, W = $9,
The time of work, t = 3.25 hours,
Calculate the money earned by Conor as shown below,
The money earned by Conor = The pay rate for the work × The time of work,
The money earned by Conor = 9 × 3.25
The money earned by Conor = 29.25
Thus, the money earned by Conor is $29.25.
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Your next math test has multiple choice and short answer problems and is worth 111 points. The multiple choice
problems are worth 3 points each and short answer problems are worth 4 points each. There are 32 problems total on
the test. How many of each kind of problem are on the test?
a) Write a system of equations to model the situation
How many of each kind of problem are on the test?
Step-by-step explanation:
Let M be the number of multiple choice problems and S be the number of short answer problems.
We can set up the following system of equations to represent this situation:
M * 3 + S * 4 = 111
M + S = 32
The first equation represents the total number of points on the test, and the second equation represents the total number of problems on the test.
To solve this system of equations, we can use a method such as graphing, substitution, or elimination.
Using the substitution method, we can solve for one variable in terms of the other and substitute it into the other equation. For example, we can solve the first equation for M:
M = (111 - S * 4) / 3
Then, we can substitute this expression for M into the second equation:
(111 - S * 4) / 3 + S = 32
Solving this equation for S gives us the number of short answer problems:
S = 12
To find the number of multiple choice problems, we can substitute this value for S into the expression for M that we derived earlier:
M = (111 - 12 * 4) / 3
Solving this equation gives us the number of multiple choice problems:
M = 8
Therefore, there are 8 multiple choice problems and 12 short answer problems on the test.
8. Torin is painting a portrait. He wants it to be square, with the mat around
it to be 7 cm wide. The area of the mat should be equal to the area of the
portrait itself. What should the dimensions of the portrait be, to the nearest
tenth of a centimetre?
Dimensions of the portrait are 12.25 cm to the nearest tenth of a centimeter.
What are Dimensions?
The dimension of a mathematical space is defined as the smallest number of coordinates required to specify each point within it.
To have the area of the mat equal to the area of the portrait, the portrait and the mat must have the same area. Since the mat is 7 cm wide, we can use that to find the dimensions of the portrait.
If the portrait is square, the side length will be the same as the width of the mat, plus the width of the portrait.
So, portrait width = 7 cm + portrait width
Solving for portrait width:
portrait width = 7 cm / 2 = 3.5 cm
So, the dimensions of the portrait are 3.5 cm x 3.5 = 12.25 cm
Therefore, dimensions of the portrait are 12.25 cm to the nearest tenth of a centimeter.
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If n=1/2 how much is 2+6n.
The equation here is 2+6n, where n=1/2
substituting the value of n in the equation, we get,
2+6n
= 2+6x1/2 ......(adding value of n)
=2+6/2 .......(dividing 6 by 2)
=2+3
=5
therefore, the value of 2+6n is 5
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Based on the table below, evaluate f(1)
The numeric value of the function f(x) at x = 1 is given as follows:
f(1) = 24.
How to obtain the numeric value from the table?The table is composed by a set of points in the following format:
(x, f(x)).
In which the input and output variables are given as follows:
x is the input.y is the output.From the points given in the table, the numeric values are listed as follows:
f(0) = 1.f(1) = 24 -> desired value.f(2) = 43.f(3) = 35.f(4) = 34.f(5) = 86.f(6) = 11.f(7) = 83.f(8) = 75.f(9) = 93.Any of these values can be used to evaluate the function at the input of x, hence at the input of x = 1, the numeric value is given as follows:
f(1) = 24.
Missing InformationThe function is given by the image presented at the end of the answer.
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In a rectangle ABCD, AB = 4 cm and BC = 3 cm. Find the length of the diagonals AC and BD.
Answer:
5
Step-by-step explanation:
Triangle ABC≅ Triangle DAB
use pytahgorean theorem:
ac^2=ab^2+bc^2
ac=[tex]\sqrt{ab^2+bc^2\\][/tex]
ac=[tex]\sqrt{4^2+3^2}[/tex]
ac=[tex]\sqrt{16+9}[/tex]
ac=[tex]\sqrt{25}[/tex]
ac=5
ac=bd=5 by congruency rules
Compare two-and-one-fourth to two-and-one-eighth.
The comparison that exists between two-and-one-fourth to two-and-one-eighth would be = 2 × 1/4 is greater than 2 × 1/8.
What is a fraction?A fraction is defined as the representation of part of a whole number which has a numerator located at the top and the denominator located below.
The given number and fraction for comparison is as follows:
2 × 1/4 = 1/2
2 × 1/8 = 1/4
Therefore when two-and-one-fourth to two-and-one-eighth are compared the former is. greater than the later.
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What is the exact solution to the system of equations shown on the graph? A. (-1 3/5, 4 1/5) B. (-1 1/5, 4 3/5) C. (-1 5/6, 6 2/3) D. (-1 1/5, 4 5/6)
The exact solution to the system of equations shown on the graph is
(-1 1/5, 4 3/5)
How to find the solution of the equation plotted in the graphThe solution of a graph is where the two graphs intersects. This point is known as point of intersection and at this point we have the solution
The point of intersection of the two graphs as shown are read, Knowing that all interval marked represents one unit
x intersection: the point is more than -1 and not up to -1.5, which is a value at exactly half of the two intervals hence the possible option is -1 1/5
y intersection: the point is more than 4 and more than to 4.5, which is a value at exactly half of the two intervals hence the possible option is
4 3/5
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3. You ask the production team to make some candles for the sale. The team is not sure how many they can
produce in your short time frame, so they ask for an acceptable range for how many of each candle they
should make.
Use your costs and recommended retail prices to write a linear programming model to show the BeeSwaks
executives possible profits for selling certain numbers of each type of candle during this promotion. Decide on
the constraints for the numbers of candles made for the sale and explain your reasoning for these constraints.
Graph the feasible region and find maximum and minimum profits.
on solving the provided question, we can say that by equation we Consequently, he will sell 16 automobiles at this price.
Equation: What is it?A number, a variable, or a mix of both, combined with certain operation symbols, make up an expression. An equal sign is used to denote the separation of two expressions in an equation.
Here,
Given: Number of cars sell in a day = 12
Price of a car =[tex]$23,000[/tex]
For each $300 price reduction dealer can sell two more cars per day.
Solution: Let there be x unit 300 price reduction
2x unit increase in sale of car
[tex]|R(x)=(15000-300x)(12+2x)[/tex]
Cost
[tex]|C(x)=1000+12000 (12+2x)[/tex]
Profit
[tex]|P(x)=(15000-300x)(12+2x)-1000+12000 (12+2x)\\15000(12+2x)–12000 (12+2x)-300x(12+2x)-1000\\=180000-144000+30000x-24000x -3600x -600-1000\\=36000+2400x-600 = P'(x)=-1200x +2400 = P"(x)=-1200[/tex]
For critical points
[tex]P'(x)=0= -1200x + 2400=0= x=2[/tex]
Since P"(x) <0at x = 2it is max profit 12+2x=12+2(2)=16
16cars per day he will sell
[tex]Price = 15000-300*16 = $10200[/tex]
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The table below shows the amount that must be repaid, y, when x dollars are borrowed.
Amount Borrowed
$100
$200
$600
$900
Amount Repaid
$155
$295
$855
$1275
Find an equation in terms of x and y that represents the table above. Show work
The required equation is y = 1.4x - 295 shows the amount that must be repaid, y, when x dollars are borrowed.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The table below shows the amount that must be repaid, y, when x dollars are borrowed.
Amount Borrowed Amount Repaid
$100 $155
$200 $295
$600 $855
$900 $1275
y - 155 = [(1275 - 155)/(900-100)](x-100)
y - 155 = (1120/800)(x-100)
y - 155 = 1.4(x-100)
y = 1.4x - 140 + 155
y = 1.4x - 295
Thus, the required equation is y = 1.4x - 295.
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Answer: Y = 1.4x + 15
Step-by-step explanation:
Multiply amount borrowed by 1.4 and add 15 gives you the amount repaid.
K
A study finds that out of every 500 babies born in the world, 45 have some kind of major birth defect. What is the
simplest way to assign random numbers to conduct a simulation based on this statistic?
Select the correct choice below and fill in the answer boxes to complete your choice.
OA. Use two-digit numbers 00-99; let 00-
represent babies born with some kind of major birth defect and
-represent babies born without a major birth defect.
OB. Use one-digit numbers 0-9; let 0- represent babies born with some kind of major birth defect,-
represent babies born without a major birth defect, and skip -9.
C. Use two-digit numbers 00-99; let 00- represent babies born with some kind of major birth defect.
represent babies born without a major birth defect, and skip -99.
OD. Use one-digit numbers 0-9; let 0- represent babies born with some kind of major birth defect and
represent babies born without a major birth defect.
View an example Get more help -
Clear all
Check answer
3:
بنا
correct:
There 9% represent babies born with a birth defect, and 09-99(9%) to represents babies without birth defects.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
According to one study, 45 out of every 500 babies born in the world have a serious birth defect.
Use two-digit numbers 00-99; let 00- represent babies born with some kind of major birth defect.
p = x/n
p = 45/500
p = 0.9 = 9%
So, the simplest way to assign random numbers to conduct a simulation based on this statistic, it can use 00-99(9%) to represent babies born with a birth defect, and 09-99(9%) to represent babies without birth defects.
Hence, the correct answer would be an option (B).
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The graph shows the system
y = 2x + 1
y = 2x² + 1
Which ordered pairs are solutions of the system?
OO
(1, 0) and (1, 3)
(0, 0) and (0, 1)
(0, 0) and (1, 0)
(0, 1) and (1, 3)
4-
3+
2+
Answer: The solution of the ordered pairs are (0,1) and (1,3).
Step-by-step explanation:
10. Yosemite Falls in California is made of three smaller falls. The upper fall drops 1450 feet. The height h in feet of a water droplet falling from the upper fall to the next fall is modeled by h(t)=-16 t²+1450, where t is the time in seconds after the initial fall. Estimate the time it takes for the droplet to reach the next fall.
9.22 SOLVNG QUADRATIC EQUATIONS BY FACTORNG
Yosemite Falls in California is made of three smaller falls. The upper fall drops 1450 feet. The time it takes for the droplet to reach the next fall is 9.52 seconds.
How to find the time?Given data:
h(t)=-16 t²+1450
Where:
t = time in seconds after the initial fall
So,
0=-16 t²+1450
16 t² =1450
t² = 90.625
t =√90.625
t = 9.52 seconds
Therefore we can conclude that the time is 9.52 seconds.
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ā
Three boards are placed end to end to make a walkway. The first board is 3 feet 10 inches long, the second board is 4 feet 11 inches long.
third board is 3 feet 4 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.
Answer: 12 feet and 1 inch
Step-by-step explanation:
3 feet 10 inches
4 feet 11 inches
3 feet 4 inches
3+4+3 = 10 feet
10+11+4 = 25 inches
1 foot = 12 inches
25 / 12 = 2 (rounded up) feet with 1 inch left
10 + 2 = 12 feet and 1 inch
This figure represents a prop for a play that will be built out of wood. The crew needs to build 4 of these props.
How much wood is needed to build all 4 props?
The amount of wood that will be needed for the 4 props is 256 ft²
How to determine the number of wood?You should understand that the number of wood needed for props is the distance round all the lengths of the prop multiplied by four
The lengths give are (5ft +8ft +7ft +2ft +3ft +5ft) *2*4
The amount of wood will be 32*2*4
= 256 ft²
In conclusion 256ft wood will be needed for 4 props
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Answer: 936
Step-by-step explanation: I got it wrong by following other answers but this is confirmed correct on the test. Picture taken to ease worry.
