La reducción de la ecuación 7a - 9b + 6a - 4b quedaría de la siguiente forma:
23a-31b
13a-13b
13a13b
12a-12b
La expresión se puede simplificar para obtener:
7a - 9b + 6a - 4b = 13a - 13b
¿Como simplificar la expresion?Queremos simplificar la siguiente expresión:
7a - 9b + 6a - 4b
Primero, podemos reordenar los terminos así obtenemos:
7a - 9b + 6a - 4b = 7a + 6a - 9b - 4b
Ahora podemos usar a y b como factores comunes, entonces obtendremos:
7a + 6a - 9b - 4b = (7 + 6)a + (-9 - 4)b
= 13a - 13b
Esa es la opcion correcta.
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usan and Mark are standing at different places on a beach and watching a bird. The angles of elevation they make are 20º and 50º, respectively.
If Susan and Mark are 7 kilometers apart and the bird is between them, the bird is at a height of
kilometers from the ground.
Answer:
Based on the angles of elevation and the distance between Susan and Mark, the bird is likely at a height of approximately 1.95 kilometers from the ground. This is based on calculations using the Pythagorean theorem and the law of cosines.
Step-by-step explanation:
HELP
_____________________________
The required trasformation is given as,
(A) Function f translated 4 units down.
(B) Function f translated 3 units left.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here.
Given function
f(x) = ∛[x + 1]
put x = -3 and y = y - 4
f(x) = ∛[x - 3 + 1] - 4
f(x) = ∛[x - 2] - 4
Thus, the required trasformation is given as,
(A) Function f translated 4 units down.
(B) Function f translated 2 units left.
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Brainly tutor couldn't solve this, someone please help
The end behavior of the graphed function is defined by:
as x → ∞, f(x) → 1as x → -∞, f(x) → 1as x → 1, f(x) → ∞How to identify the end behavior of the function?To identify the end behavior, we need to look how the function behaves as the independent variable tends to ±∞.
Here we can see that in both ends, the function tends asymptotically to y = 1, then the end behavior is:
as x → ∞, f(x) → 1
as x → -∞, f(x) → 1
And we also can see that when x = 1 the function tends to infinity, then:
as x → 1, f(x) → ∞
These are the 3 correct options.
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Work out the following sheet
Answer: MNO is an isosceles triangle
Step-by-step explanation:
the right hand corner is 80 degrees and the left one is 45 degrees, you work this out by knowing a straight line is 180 degrees, 180-110 is 70. 55+70=125 and then 180-125 is 55.
not sure how to solve the second question so maybe repost it, hope i helped :D
Write an equivalent fraction for each given fraction 10/2 please help!!
The equivalent fraction to 10/2 are 5/1, 20/4, 30/6, 40/8, 50/10 and so on.
How to determine equivalent fraction?10/2
The equivalent fraction can be determined by division method or multiplication method
Division method:
10/2
divide both numerator and denominator by 2
= 5/1
Multiplication method:
10/2
multiply numerator and denominator by 2
= 20/4
multiply numerator and denominator by 3
= 30/6
multiply numerator and denominator by 4
= 40/8
Therefore, equivalent fractions are fractions which have equal numerator and denominator in its simplest form.
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Joel has brownies. The length of each brownie is 7cm and the width is 5cm find the area of the brownies
The area of each brownie is 35 cm².
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, the length of each brownie is 7 cm and the width is 5 cm.
Here, the area is Length×Width
= 7×5
= 35 cm²
Therefore, the area of each brownie is 35 cm².
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Amber sends a text message to 4 people and those 4 people send the text message to 4 more people, and so on. Write an expression to show the number of people who will receive the text message after the fifth round.
An expression to show the number of people who will receive the text message after the fifth round is, 4 x 4⁵
What is geometric progression?In algebra, in sequence we study various progressions, one of the progression is geometric, in this progression for every two consecutive terms, the common ratio is the same.
Formula for nth term of G.P.,
Tₙ = a×rⁿ
where a is first term and r is common ratio
Given that,
Amber sends a text message to 4 people
Those 4 people send the text message to 4 more people, and so on
An expression to show the number of people who will receive the text message after the fifth round = ?
This process will follow a geometric progression,
Which have common ratio = 4
First term a = 4
Fifth term = ?
Here, n = 5
Tₙ = a × rⁿ
= 4 x 4⁵
= 4096
Hence, the expression is 4 x 4⁵
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RIDES The Giant Canyon Swing is a thrill ride at Colorado’s Glenwood Taverns Adventure Park. The ride sits 3000 feet above the Colorado River and swings riders out over the Glenwood Canyon. Suppose the swing arms of the ride are about 41 feet long, and the axis from which the arms swing is about 43 feet above the base of the ride. What is the height of the riders above the Colorado River at the peak of the arc shown? Round to the nearest foot if necessary.
The height of the riders above the Colorado River at the peak of the arc shown will be 3,064.73 feet.
What is a vector?The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.
The length of the variable 'y' is given as,
sin (212° - 180°) = y / 41
0.5299 = y / 41
y = 21.73 feet
The height of the riders above the Colorado River is given as,
⇒ 21.73 + 43 + 3,000
⇒ 3,064.73 feet
The height of the riders above the Colorado River at the peak of the arc shown will be 3,064.73 feet.
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The missing part is given below.
TECHNOLOGY Pew Research Center released a survey that asked whether participants thought technological advancements in the future will make people’s lives better or worse. Of the people interviewed, 423 earned less than $50,000 per year and 328 earned $50,000 or more. Of those earning less than $50,000 per year, 262 thought that people’s lives would get better, and 240 of those who earned $50,000 or more thought the same. Organize the data in a two-way frequency table.
Answer:
With technology and digital communication, it's
becoming easier to communicate because people
do not have to do that initial face-to-face reaction
when they are behind a keyboard. This can be a
good or a bad thing depending on how one
chooses to communicate.
Answer:
[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&502\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&161&88&249\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&751\\\cline{1-4}\end{array}[/tex]
Step-by-step explanation:
From the given information, the two options of the "annual salary" category are:
Less than $50,000 per year.$50,000 or more per year.From the given information, the two options of the "opinions" category are:
People's lives would get better.People's lives would not get better.To create a two-way frequency table to visually represent the possible relationships between the two sets of categorical data:
Create a 4x4 table.Label the top row of the table with one category and the left side of the table with the other category. Label the right column "Total" and the bottom row "Total".[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&&&\\\cline{1-4}\end{array}[/tex]
Add the given information to the table:
[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&\\\cline{1-4}\end{array}[/tex]
From the table, we can see that of the 423 of people that earned less than $50,000 per year, 262 thought that people's live would get better.
To calculate the number of people that earned less than $50,000 per year that thought people's lives would not get better, subtract 262 from 423 and place this number in the cell in column 2, row 3.
Continue like this to fill out the rest of the table, remembering to calculate the column and row totals:
[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&502\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&161&88&249\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&751\\\cline{1-4}\end{array}[/tex]
i need help hurry pls
The value of w = 16. The number 24 has a place value of two due to the presence of two full sets of tens.
What is meant by value?The value describes the value of each digit in relation to its position in the number. The place value and face value of the digit are multiplied to arrive at the answer. Value equals Place Value minus Face Value.Value is concerned with how much something is worth, whether in monetary terms or in terms of significance. It can mean "identify how much something is worth" like a reward valued at $200 or it can indicate "hold something in high esteem" like "I value our friendship."The occurrence of two complete sets of tens gives the number 24 its place value of two.Let the be ST = RU = PQ
S T = w, RU= -3w + 44, and PQ = -5w + 68
Then by simplifying the above equation we get,
(w) + (-3w + 44) + (-5w + 68) = 0
w - 3w + 44 - 5w + 68 = 0
Group like terms
w - 3w - 5w + 44 + 68 = 0
Add similar elements: w - 3w - 5w = -7w
-7w + 44 + 68 = 0
Add the numbers: 44 + 68 = 112
-7w + 112 = 0
Move 112 to the right side
-7w = -112
Divide both sides by -7
[tex]$\frac{-7 w}{-7}=\frac{-112}{-7}[/tex]
Then we get,
w = 16
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The value of w in the given trapezoid is 18.4.
What are the properties of trapezium?The following characteristics apply to a trapezium:
Similar to other quadrilaterals, the trapezium's four angles add up to 360°.
Two of a trapezium's sides are parallel, whereas the other two aren't.
Regular trapezium diagonals are divided by one another.
In a trapezium, the mid-length segment's is equal to half the total length of the parallel bases.
A trapezium created by two parallel sides and one non-parallel side has two pairs of neighbouring angles that add up to 180 degrees.
We know that the length of the mid-segment is equal to half the sum of the parallel bases, in a trapezium.
Thus,
TS +PQ = 1/2 (UR)
w - 5w + 68 = 1/2 (-3w + 44)
2(-4w + 68) = -3w + 44
-8w + 136 = -3w + 44
136 - 44 = -3w + 8w
92 = 5w
w = 18.4
Hence, the value of w in the given trapezoid is 18.4.
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find the directrix of this equation
The equation's directrix of [tex]y^{2}-6y-2x+19=0[/tex]. is 4.5 since this parabola's directrix's equation is x + a = 0.
what is equation ?
The statistic is said to be in a simplified sense when divided into its smallest equivalent fraction. What to do to determine the most basic form. Look for common factors in the denominators and numerators. A statement having two equal sides and then an equal sign in the midpoint is called an equation in mathematics. The conceptual model of any formula contains the degrees of all the variables given descending order. The typical form of a linear equation is an x + b = 0. This same general form of a mathematical expression with two variables is an x + b y + c = 0. (or something similar). Inequalities can be categorized either identities or dependent equations. An id holds true regardless of the value given to the variables.
given
Knowing the axis and vertex of a parabola allows one to determine the directrix of the curve.
The equation of the directrix of this parabola is x + a = 0 for an equation of the parabola in standard form [tex]y^{2} = 4ax[/tex], with focus at (a, 0) axis as the x-axis.
equation = [tex]y^{2}-6y-2x+19[/tex]=0
directrix x = h−p
(y−k)2 = 4p(x−h),p≠0
Directrix: x=4.5
The equation's directrix of [tex]y^{2}-6y-2x+19=0[/tex]. is 4.5 since this parabola's directrix's equation is x + a = 0.
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The complete question is:-
Find the directrix of this equation of y2-6y-2x+19=0
6-29. Graph each of the following inequalities on a number line. 6-29 HW eTool (CPM). Homework
Help
a. x > 3
b. x ≤5
c. x ≥-4
VAVIN
The inequalities contain greater than, less than or equal, and greater than or equal. The inequalities are attached below.
What is a closed circle?
For numbers that are either less than or greater than (< or >), open circles are used. For numbers that are less than or equal to and greater than or equal to (≤ or ≥), closed circles are used.
A number line can be used to display inequality.
Given inequalities are
x > 3
x ≤5
x ≥-4
The inequity x > 3 contains a greater than symbol. Thus there will be an open circle at 3. x is greater than 3, so the arrow from the circle must show the numbers that are larger than 3.
The inequity x ≤5 contains a less than or equal symbol. Thus there will be a close circle at 5. x is less than or equal to 5, so the arrow from the circle must show the numbers that are less than 5.
The inequity x ≥-4 contains a greater than or equal symbol. Thus there will be a close circle at -4. x is greater than or equal to -4, so the arrow from the circle must show the numbers that are greater than -4.
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A change in tempo is the only thing that can make a musical cliché more effective.
A. False, a change in dynamics is the only thing that can make a musical cliché more effective.
B. True
C. False, using changes in tempo and dynamics can make a musical cliché more effective.
D. False, a change in tempo cannot make a musical cliché more effective.
The statement - A change in tempo is the only thing that can make a musical cliché more effective is
C. False, using changes in tempo and dynamics can make a musical cliché more effective.What is a musical cliché?A musical cliché refers to a commonly used and overused musical idea. To make a musical cliché more effective, changes in both tempo and dynamics can be used.
Tempo refers to the speed of the music, while dynamics refer to the volume or loudness of the music. By changing both of these elements, a composer or performer can add variety, interest, and impact to a musical cliché and make it more effective.
However, this may not always be the case, as the effectiveness of a musical cliché also depends on the context and the artistic intention of the composer or performer.
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1 whole number 1/16 to decimal 50 points pls full solution heres pic i have done it but i am not sure
Answer:
Below
Step-by-step explanation:
17/16 is just 17 ÷ 16 use calculator to fin = 1.0625
Answer:
1.06
Step-by-step explanation:
Step 1: divide numerator (1) by the denominator (16):
1 ÷ 16 = 0.0625
Step 2: add this value to the the integer part:
1 + 0.0625 = 1.0625. So,
1 1/16 = 1.0625
Devonne compared the memory usage of two computers as various programs were run. She concluded that Computer A uses more megabytes for each additional program than Computer B. Is she correct?
Yes. Computer A has the greater slope.
Yes. Computer A has greater initial value.
No. Computer B has the greater slope.
No. Computer B has the greater initial value.
The correct statement regarding the linear functions is given as follows:
No. Computer B has the greater slope.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change of the output variable relative to the input variable.The intercept b represents the value of y when the graph of the function touches of crosses the y-axis.For Computer A, when x increases by 2, y increases by 176 - 32 = 144, hence the slope is given as follows:
m = 144/2
m = 72.
For Computer B, when x increases by 2, y increases by 370 - 198 = 172, hence the slope is given as follows:
m = 172/2
m = 86.
Which means that Computer B uses more megabytes for each additional program, as 86 > 72.
Missing InformationComputer A: A graph has programs on the x-axis and megabytes on the y-axis. A line goes through (0, 32) and (2, 176). Computer B: A 2-column table with 3 rows. Column 1 is labeled Programs: x with entries 2, 4, 6. Column 2 is labeled Megabytes: y with entries 198, 370, 542.
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Price (£) 1150
Demand 415
The unit Production and supply cost of each electric bicycle is 740
So What will be the profit of the unit
The profit of the unit is £410
What is unit profit?Profit is the revenue remaining after all costs are paid. Profit is the difference between business income (revenue) and business expenses (costs
To get the unit profit;
unit profit = Price - production cost
From the question,
The unit production cost is 740 while the price is 1150
using the formula above,
Unit profit = 1150 - 740
Unit profit = £410
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if cos theta =3/4 find sec theta
Answer:
secΘ = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
using the identity
• secΘ = [tex]\frac{1}{coa0}[/tex] = [tex]\frac{1}{\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex]
1/
3
of my bananas are yellow and ! green. The rest are pink. What fraction are pink?
Answer:
Pink bananas? Weird, but cool.
Anyways, the answer would be 2/3.
This is correct because:
1/3 + 2/3 = 3/3 = 1 whole
Step-by-step explanation:
Hope it helps! =D
Graph the solution set for the system of inequalities and shade the solutions to the system
y≥x²
y≤x + 2
A graph of the solution to this system of inequalities on a coordinate plane is shown in the image attached below.
How to graph the solution to this system of inequalities?In order to to graph the solution to the given system of inequalities on a coordinate plane, we would use an online graphing calculator to plot the given system of inequalities and then take note of the point of intersection;
y ≥ x²
y ≤ x + 2
Based on the graph (see attachment), we can logically deduce that the solution to the given system of inequalities is the shaded region and the point of intersection of the lines on the graph representing each, which is given by the ordered pair (2, 4) and ordered pair (-1, 1).
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You deposit $300 each month into an account earning 2% interest compounded monthly. a) How much will you have in the account in 15 years? b) How much total money will you put into the account? c) How much total interest will you earn?
Answer:
You will have 4500 dollars in your account. The interest might be %30
Step-by-step explanation:
I just multiplied everything by 15 i don't know this I just want to
help
Consider the following data. 9,−2,9,9,−2,−2,14 Step 1 of 3 : Determine the mean of the given data.
To find the mean of a given set of data, you divide the sum of all the values and divide it by the number of values.
[tex]9,-2,9,9,-2,-2,14[/tex]
[tex]9+-2+9+9+-2+-2+14\\=35[/tex]
There are a total of 7 values that are given. So, to find the mean, we simply must divide 35(the sum of all values) by 7(the number of values).
[tex]35\div7=5[/tex]
Therefore, the mean of our given set of data is 5.
what is the median of 11,13,24,28,30,47
The required median of the given data set 11, 13, 24, 28, 30, and 47 is 24.
What is the median?When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.
The median of a set of numbers is the middle value when the numbers are arranged in order.
First, we need to arrange the numbers in ascending order:
11, 13, 24, 28, 30, 47
For an even number of values, the median is given as
Median = n / 2 th terms
Median = 6 / 2 = 3rd term
Median = 24
So, the median of 11, 13, 24, 28, 30, and 47 is 24.
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An investment portfolio is shown below.
Investment Amount Invested ROR
Money Market Account $3,200 2.1%
Government Bond $1,750 4.4%
Preferred Stock $1,235 −7.8%
Common Stock $2,300 10.5%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to the nearest tenth of a percent.
0.5%
1.1%
2.3%
3.5%
Using technology, the difference between the arithmetic average ROR and the weighted average ROR is 0.52%
What is arithmetic mean?The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values and the number of observations involved in this sum.
Given An investment portfolio
Since arithmetic average ROR:
The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:
ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4
arithmetic average ROR=6.20%
total amount invested=$3200+$1750+$1235+$2,300
total amount invested=$8,485
weighted average:
ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)
weighted average:
ROR=5.68%
difference=6.20%-5.68%
difference=0.52%
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Answer: it’s 1.1%
Step-by-step explanation: just got it right on the test
In the figure, / Ilm. Find the measure of
each angle. Each problem is different.
35) If m27=100°, then m/3 =
36) If m27=175°, then m26=_
37) If m27 = 120°, then m25 =
38) If m/4=20°, then m27 =
39) If m/3=140°, then m28 =
40) If m/4= 30°, then m4=
41) If m24 = 40°, then m2 =
42) If m27=125°, then m/4=
In the above angle measurement problem,
35) If m∠7=100°, then m∠3 = 100° (Alternative Angles)
36) If m∠7=175°, then m∠6= 5° (Co-interior Angles)
37) If m∠7 = 120°, then m∠5 = 120° (Corresponding Angles)
38) If m∠4=20°, then m∠7 = 160° (Angles on a straight line and Corresponding Angles)
39) If m∠3=140°, then m∠8 = 40° (m∠3 = m∠1 Corresponding angles; ∠1+ ∠8 = 180° - Angles on a straight line)
40) If m∠4= 30°, then m∠1 = 150° (Corresponding Angles)
41) If m∠4 = 40°, then m∠2 = 40° (Corresponding Angles)
42) Ifm∠7=125°, then m∠4= 55° (∠4=∠2; Corresponding angles: 180° - ∠7 = 55° - Angles on a Straight Line)
What is a Corresponding Angle?When two parallel lines meet any other line, comparable angles are generated in matching corners or corresponding corners with the transversal.
Congruence and likeness tests in geometry require comparing matching sides and angles of polygons. Each side and angle in one polygon is matched with a side or angle in the second polygon, with the order of adjacency preserved.
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a small business owner is applying for a small business loan and has been approved for a $50,000 loan with a 6.15% annual interest. the first loan is a simple interest rate, the second loan compounds interest quarterly, and the third loan compounds interest continuously. the small business owner plans to pay off the loan in three years and 7 months. determine the total value of the loan with simple interest.
Answer and Explanation:
To calculate the total value of the loan with simple interest, we can use the formula:
Loan amount x (Interest rate x Time in years) = Simple interest
Where,
Loan amount = $50,000
Interest rate = 6.15%
Time in years = 3 years + 7 months / 12 months/year = 3.58 years
So,
Simple interest = $50,000 x (6.15% x 3.58) = $10,439
Therefore, the total value of the loan with simple interest would be $50,000 + $10,439 = $60,439.
answer thissss plsss i need help
Answer:
x ≤ 217
Step-by-step explanation:
The mean is found by adding each time and dividing by the amount of attempts.
If the mean has to be no greater than 200s and there are five attempts, than the total five attempts should total to no more than 200*5=1000s
The total sum of the first four attempts is 192+206+194+191=783
x must be equal to or less than 1000 - 783 = 217
i NEED AN ANSWER NOOOOW
How many square feet of outdoor carpet will we need for this hole?
The amount of outdoor carpet that will be needed for the hole in square feet will be = 40ft²
How to calculate the quantity of outdoor carpet needed?To calculate the quantity of outdoor carpet needed is to subtract the square and the rectangular areas that were not covered from the whole rectangular area that was covered.
The area of the square = length×width = 3×2 = 6ft²
The area of the rectangule = length×width = 1×2 =2ft²
The area of the whole hole = l×w = 4× 12= 48ft²
Therefore, the area of the outdoor carpet that will be needed for the hole in square feet would be;
= 48 - ( 2+6)
= 48 - 8
= 40 ft²
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y less than two thirds times x plus 2 (0, 3) (−3, 1) (3, 5) (1, 2)
As per the given statement, the inequality will be equal to y<2/3x+2.
What is an inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
here, we have,
As per the data provided in the question,
The statement is,
y is less than 2/3 times of x, that is = y<(2/3)x and,
then it is plus two is added to the equation,
y<(2/3)x+2
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