Answer:
x > 9/5Step-by-step explanation:
The above statement is written as
[tex] \frac{2}{3} x - \frac{1}{5} > 1[/tex]
Multiply through by the LCM of 3 and 5 which is 15
So we have
[tex]15 \times \frac{2}{3} x - 15 \times \frac{1}{5} > 15 \\ \\ 10x - 3 > 15 \\ \\ 10x > 15 + 3 \\ \\ 10x > 18 \\ \\ x > \frac{18}{10} \\ \\ x > \frac{9}{5} [/tex]
Hope this helps you
Answer: The answer is x > 9/5.
Hope this helps!! Also please put as brainlist answer really need it would really aprecite it please.
Please answer this correctly
The correct answer is 5.5988 x [tex]10^{-3}[/tex] = 0.0055988
Explanation:
In mathematics and related areas, it is common the expression [tex]10^{n}[/tex] (n = a whole number) that multiplies a number, this is known as scientific notation, and it used to express long numbers concisely. This type of notation implies the exponent number or n represents the number of zeros in the number or the number of spaces after/before the decimal period.
Additionally, if the exponent is positive this means the zeros are placed to the right of the number, while a negative exponent shows the zeros are on the left. For example 7 x [tex]10^{3}[/tex] is equal to 7000 because the exponent indicates there are three zeros to the right of 7 or you need to move three spaces the period to the right, which is located right after 7. According to this, the expression 5.5988 x [tex]10^{-3}[/tex] indicates there are 3 zeros to the left of this number or that you need to move three spaces the period and add zeros in these spaces, which is equal to 0.0055988. Therefore, both numbers are equal (=)
PLEASE HELP! Two complementary angles measure (12x - 18) and (5x +23). What is the measure of the smaller angle? (1) 5 (2) 42 (3) 48 (4) 90
Answer:
5
Step-by-step explanation:
firstly, what are complementry angles.complementary angles are angles that su
m up to 90°
(12x-18)+(5x+23)=90
collecting like terms
12x+5x+23-18=90
17x-5-90=0
17x-95=0
17x=95
divide through by 17
x=5
The measure of the smaller angle when complementary angles are given is 42 degree.
Complementary AnglesWhat are complementary angles?Complementary angles are two angles whose total is 90 degrees in geometry. In other terms, complimentary angles are two angles whose sum is 90 degrees. 60° and 30°, for instance.
Calculation for the value of x in the given angles:The first angle of the triangle is (12x - 18).
The measure of the second angle of the triangle is (5x + 23).
As both angles are complementary, their sum would be equal to 90 degree.
(12x - 18) + (5x + 23) = 90
12x - 18 + 5x + 23 = 90
17x = 85
x = 5
Calculation for the angles.Substitute the value of x = 5 in the given angles.
(1) 12x - 18 = 12×5 - 18
= 42 degrees
(2) 5x + 23 = 5×5 +23
= 48 degrees
Therefore, the smaller angle is found to be 42 degrees.
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Rewrite the following statement in the form ∀x ______, if _______ then _______ (where each of the second two blanks are sentences involving the variable x) Every valid argument with true premises has a true conclusion.
Answer:
"Vx: if x is a valid argument with true premises then x has a true conclusion"
In a symbol form
Vx ( P(x) ⇒ 2(x) )
Step-by-step explanation:
The Following statement in the form ∀x ______, if _______ then _______ is a valid argument and this because any valid argument with "true premises" has a "true conclusion" as well
we will rewrite this statement in a universal condition statement form
assume x is a valid argument with true premises
then the following holds true
p(x) : x is a valid argument with true premises
q(x) : x has true conclusion
applying universal conditional statement
"Vx, if x is a valid argument with true premises then x has a true conclusion"
In a symbol form
Vx ( P(x) ⇒ 2(x) )
One of the space shuttle’s external tanks can carry up to 200,000 gallons of fuel. It used 170,000 gallons of fuel in this tank to leave the atmosphere. What percentage of the fuel capacity does the shuttle still have?
Answer:
15%
Step-by-step explanation:
The tank's capacity is 200,000 gallons.
170,000 gallons were used.
200,000 - 170,000 = 30,000
30,000 gallons of fuel are still there.
percent = part/total * 100%
percent = 30,000/200,000 * 100% = 15%
Equations and Functions
Answer:
Subtract the 2w to both sides of the equal sign.
Step-by-step explanation:
Since we want the equation to be in terms of l, we need to isolate the term first. To do so, we will need to subtract 2w on both sides to start out.
I can't figure this question out I've tried multiple times but only 2/3. Help, please.
Answer:
yes it is 2/3
Step-by-step explanation:
y = 2x^4 convert to polar form
Answer:
The polar form is sinθ = 2 r³cos⁴θ
Step-by-step explanation:
Explanation:-
Given function y = 2 x⁴
Parametric Form x = r cosθ ....(i)
and y = r sinθ ....(ii)
squaring x² = r² cos ²θ
y² = r² sin²θ
adding x² + y² = r² cos ²θ+r² s in²θ
= r²( cos ²θ+s in²θ)
= r²( 1)
x² + y² = r²
Given function y = 2 x⁴
Now convert into polar form
r sinθ = 2 (r cos θ )⁴
r sinθ = 2 (r )⁴cos θ )⁴
sinθ = 2 r ³cos⁴θ
Translate the following statements into symbolic form using capital letters to representaffirmative English statement.
If Maria Cantwell promotes alternative energy,then if Patty Murray supports wilderness areas, then Dianne Feinstein's advocating gun control implies that Susan Collins does so,too.
Answer:
Step-by-step explanation:
There are two distinct statements but put together, it is:
- If Maria Cantwell (MC) promotes Alternative Energy (AE) and if Patty Murray (PM) supports Wilderness Areas (WA) then Dianne Feinstein (DF) advocating Gun Control (GC), implies that Susan Collins (SC) does so too.
For Susan Collins, she advocates gun control too.
So the symbolic or algebraic representation is:
(SC = DF): (MC ~ AE), (PM ~ WA)
OR
(GC = GC): (MC ~ AE), (PM ~ WA)
Where ":" represents "such that" or "given that"
" ~ " represents "support or promotion of"
It can now be read thus;
Susan Collins has same or equal interest as Dianne Feinstein, given that Maria Cantwell promotes alternative energy and Patty Murray supports Wilderness Areas.
What’s the difference between the polynomials ?
Answer:
7x^2-4x+3y^2 ( the ^ means the exponent EX: 5^2 is 5 squared. )
Step-by-step explanation:
Remove the parenthesis (a) = a
12x^2-11y^2-13x- (5x^2-14y^2-9x)
-(5x^2 - 14y^2 - 9x)
Distribute parenthesis
-(5x^2) - (14y^2) - (-9x)
Apply minus - plus rules
-5x^2 + 14y^2 + 9x
= 12x^2 - 11y^2 - 13x - 5x^2 + 14y^2 + 9x
Simplify
12x^2-11y^2-13x-5x^2+14y^2+9x
Group like terms
12x^2-5x^2-13x+9x-11y^2+14y^2
Add similar elements
7x^2-13x+9x-11y^2+14y^2
Add similar elements ( - 13x + 9x = -4x )
7x^2-4x-11y^2+14y^2
Add similar elements 11y^2 + 14y^2 = 3y^2
7x^2-4x+3y^2
11) BRAINLIEST & 10+ POINTS!
Answer:
-125°
235°
Step-by-step explanation:
Coterminal Angles are angles which share the same initial side and terminal sides.-----
-845°= -2*360° - 125°
-125°
------
-845°= -3*360° + 235°
+235°
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi = 3.14 in any formulas used.
Answer:
Step-by-step explanation:
The composite shape consists of a semi circle and a triangle. The formula for determining the perimeter of a semicircle is expressed as
Perimeter = 1/2 × 2πr = πr
Since radius, r = 3, then
Perimeter of semi circle = 3 × 3.14 = 9.42 inches
Perimeter of composite shape = 9.42 + 5 + 5 = 19.42 inches
Area of semi circle = 1/2 × πr²
Area of semicircle = 1/2 × 3.14 × 3² = 14.13 inches²
Area of triangle = 1/2 × base × height
Area of triangle = 1/2 × 6 × 4 = 12 inches²
Area of composite shape = 14.13 + 12 = 26.13 inches²
The perimeter and area of the composite shape is:
B. Perimeter = 19.42 inches; Area = 26.13 square inchesRecall:
Area of a circle = πr²
Perimeter of circle = 2πr
Area of triangle = 1/2(bh)
The composite shape given is composed of a triangle and a semicircle.
Perimeter of the composite shape = Perimeter of semicircle + the length of the two sides of the triangle
Perimeter = 1/2(2 × 3.14 × 3) + 2(5) = 19.42 inches
Area of the composite shape = area of semicircle + area of triangle
Area = 1/2(3.14 × 3²) + 1/2(6 × 4)
Are = 14.13 + 12
Area of the composite shape = 26.13 square inches.
Therefore, the perimeter and area of the composite shape is:
B. Perimeter = 19.42 inches; Area = 26.13 square inchesLearn more about area and perimeter of composite shapes on:
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CAN SOMEONE HELP ME ASAP
A. 5
B. 53‾√53
C. 10
D. 103√3
Answer:
n = 5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 30 = n/ 5 sqrt(3)
5 sqrt(3) tan 30 = n
5 sqrt(3) * 1/ sqrt(3) = n
5 = n
Uytteday.com, student/dashboard/home
Probability Models - Tutorial - Level G
If we want to know if my shuffler is playing an equal
number of slow jams, dance music, and jazz songs,
what do we need to collect data on exactly?
Answer:
Ima need the answer too
Step-by-step explanation:
Answer:
the genre
Step-by-step explanation:
You decided to join a fantasy Baseball league and you think the best way to pick your players is to look at their Batting Averages. You want to use data from the previous season to help predict Batting Averages to know which players to pick for the upcoming season. You want to use Runs Score, Doubles, Triples, Home Runs and Strike Outs to determine if there is a significant linear relationship for Batting Averages.You collect data to, to help estimate Batting Average, to see which players you should choose. You collect data on 45 players to help make your decision.x1 = Runs Score/Times at Batx2 = Doubles/Times at Batx3 = Triples/Times at Batx4 = Home Runs/Times at Batx5= Strike Outs/Times at BatEstimate the Batting Average when Run Score = 0.123, Doubles = 0.040, Triples = 0.0045 , Home Runs = 0.009 and Strike Outs = 0.189DATA:Batting Average RS/Times at Bat Doubles/Times at Bat Triples/times at bat HR/Times at Bat SO/Times at Bat0.283 0.144 0.049 0.012 0.013 0.0860.276 0.125 0.039 0.013 0.002 0.0620.281 0.141 0.045 0.021 0.013 0.0740.328 0.189 0.043 0.001 0.03 0.0320.29 0.161 0.044 0.011 0.07 0.0760.296 0.186 0.047 0.018 0.05 0.0070.248 0.106 0.036 0.008 0.012 0.0950.228 0.117 0.03 0.006 0.003 0.1450.305 0.174 0.05 0.008 0.061 0.1120.254 0.094 0.041 0.005 0.014 0.1240.269 0.147 0.047 0.012 0.009 0.1110.3 0.141 0.058 0.01 0.011 0.070.307 0.135 0.041 0.009 0.005 0.0650.214 0.1 0.037 0.003 0.004 0.1380.329 0.189 0.058 0.014 0.011 0.0320.31 0.149 0.05 0.012 0.05 0.060.252 0.119 0.04 0.008 0.049 0.2330.308 0.158 0.038 0.013 0.003 0.0680.342 0.259 0.06 0.016 0.085 0.1580.358 0.193 0.066 0.021 0.037 0.0830.34 0.155 0.051 0.02 0.012 0.040.304 0.197 0.052 0.008 0.054 0.0950.248 0.133 0.037 0.003 0.043 0.1350.367 0.196 0.063 0.026 0.01 0.0310.325 0.206 0.054 0.027 0.01 0.0480.244 0.11 0.025 0.006 0 0.0610.245 0.096 0.044 0.003 0.022 0.1510.318 0.193 0.063 0.02 0.037 0.0810.207 0.154 0.045 0.008 0 0.2520.32 0.204 0.053 0.017 0.013 0.070.243 0.141 0.041 0.007 0.051 0.2640.317 0.209 0.057 0.03 0.017 0.0580.199 0.1 0.029 0.007 0.011 0.1880.294 0.158 0.034 0.019 0.005 0.0140.221 0.087 0.038 0.006 0.015 0.1420.301 0.163 0.068 0.016 0.022 0.0920.298 0.207 0.042 0.009 0.066 0.2110.304 0.197 0.052 0.008 0.054 0.0950.297 0.16 0.049 0.007 0.038 0.1010.188 0.064 0.044 0.007 0.002 0.2050.214 0.1 0.037 0.003 0.004 0.1380.218 0.082 0.061 0.002 0.012 0.1470.284 0.131 0.049 0.012 0.021 0.130.27 0.17 0.026 0.011 0.002 00.277 0.15 0.053 0.005 0.039 0.115Possible Answers:A. 0.223B. 0.057C. 0.043D. 0.229
Answer:
The estimated value of the Batting Average is 0.229.
Step-by-step explanation:
In this case regression analysis is to performed to determine if there is a significant linear relationship for Batting Averages with Runs Score, Doubles, Triples, Home Runs and Strike Outs.
The independent and dependent variables are as follows:
y = Batting Averages
x₁ = Runs Score/Times at Bat
x₂ = Doubles/Times at Bat
x₃ = Triples/Times at Bat
x₄ = Home Runs/Times at Bat
x₅= Strike Outs/Times at Bat
The regression analysis can be performed in Excel.
Consider the regression output attached.
The regression equation is as follows:
[tex]y=0.183+0.447x_{1}+0.991x_{2}+0.622x_{3}+0.274x_{4}-0.285x_{5}[/tex]
Now estimate the Batting Average when Run Score (x₁) = 0.123, Doubles ( x₂) = 0.040, Triples (x₃) = 0.0045 , Home Runs ( x₄) = 0.009 and Strike Outs (x₅) = 0.189 as follows:
[tex]y=0.183+0.447x_{1}+0.991x_{2}+0.622x_{3}+0.274x_{4}-0.285x_{5}[/tex]
[tex]=0.183+(0.447\cdot 0.123)+(0.991\cdot 0.040)+(0.622\cdot 0.0045)\\+(0.274\cdot 0.009)-(0.285\cdot 0.189)\\\\=0.229021\\\\\approx 0.229[/tex]
Thus, the estimated value of the Batting Average is 0.229.
Which of the following is true? Forecast errors cannot be negative. Forecast errors are negative when the forecasted rate exceeds the realized rate. Absolute forecast errors are negative when the forecasted rate exceeds the realized rate. None of the above
Answer: None of the above.
Step-by-step explanation:
Forecast error is the difference which occurs between the actual observation and a given one over a period of time.
Forecast errors can sometimes be negative, this is due or caused by the difference which arises from the actual and given figures. Forecasting errors help to improve forecasting feedbacks which helps drive better results.
If a person rolls a six-sided die and then draws a playing card and checks its color, describe the sample space of possible outcomes using 1, 2, 3, 4, 5, 6 for the die outcomes and B, R for the card outcomes.
Answer:
S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}
Step-by-step explanation:
The sample space is the set of all possible outcomes in the experiment of rolling a six-sided die and then drawing a playing card and checking its color.
There are 6 possible outcomes for the die roll and two for the color of the card, which yields a total of 12 possible outcomes. The sample space is:
S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}
i-Ready
Sofia
The area of a rectangle is 7/9 square feet. The width of the rectangle is 2 1/3 feet. What is the length of the rectangle?
Answer:
1/3 feet.
Step-by-step explanation:
The length = area / width
= 7/9 / 2 1/3
= 7/9 / 7/3
= 7/9 * 3/7
= 3/9
= 1/3 feet,
The Test Scores for a Statistics course are given in the Excel below.
The data (X1, X2, X3, X4) are for each student.
X1 = score on exam #1
X2 = score on exam #2
X3 = score on exam #3
X4 = score on final exam
Your professor wants to know if all tests are created equal.
What is the F-Stat?
EXAM1 EXAM2 EXAM3 FINAL
73 80 75 65.86667
93 88 93 80.16667
89 91 90 78
96 98 100 84.93333
73 66 70 61.53333
53 46 55 43.76667
69 74 77 64.56667
47 56 60 49.83333
87 79 90 75.83333
79 70 88 71.06667
69 70 73 61.1
70 65 74 61.1
93 95 91 79.73333
79 80 73 65.86667
70 73 78 64.13333
93 89 96 83.2
78 75 68 63.7
81 90 93 79.3
88 92 86 76.7
78 83 77 68.9
82 86 90 76.7
86 82 89 75.83333
78 83 85 75.83333
76 83 71 64.56667
96 93 95 83.2
A.
4.521
B.
5.532
C.
3.331
D.
4.87
2
Answer:
4.521 ( A )
Step-by-step explanation:
The determine the F-STAT employ the use of one way anova in excel to solve the problem. the way to solve this using one way anova by excel is
enter the data given in excel after entering the Data , click on Data analysis, click One way anova, Select data,click on label in first row, then click okAttached is the image of the excel solution
what is the gfc of 16 and 8
Answer:
Greatest common factor of 16 and 8 is 8 .....What measurement is a perfect square
Answer:
The area of a rectangle with length of 5 and width of 5.
Step-by-step explanation:
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself.
area = lxw
A=5x5 (5 times itself)
A=25
therefore it is a perfect square
b I just did the unit test review this morning
the nutrition facts label from a 12 oz can of soft drink is shown below. Note that a serving of the soft drink is defined as 8 oz, so this can contains 1.5 servings of the drink. The nutritional information relates to the amounts per serving, not the amounts in the can.
The correct answer is C. 65
Explanation:
The serving size of the soft drink is 8oz, besides this, the amount of sugar for this serving size according to the label is 26 grames. Now, to calculate the amount of sugar in 20oz, one of the simplest methods is to use a rule of three, because three values are known, and one is missing. The process is shown below:
1. Write the known values and use x to represent the unknown values
8 oz = 26 grames of sugar
20 oz = x
2. Use cross multiplication (this means multiply 8 x 6) and divide it into the remaining value
[tex]x = \frac{26 x 20}{ 8}[/tex] or x = 26 x 20 / 8
3. Solve the equation
[tex]x =\frac{520}{8}[/tex] or x = 520 / 8
[tex]x = 65[/tex]
Answer:65
Step-by-step explanation:
Three students are working to find the solution set of this system of equations:
3y = 6x + 6
y = 2x + 2
Use the drop-down menus to complete the statements about each of their methods.
Pedro Dropdown 1: Intersect, Do not Intersect, Are the same line.
Pedro Dropdown 2: One, Zero, Infinitely many
Amy Dropdown: is, is not
Matt Dropdown 1: Sometimes, Never, Always
Matt Dropdown 2: One, Zero, Infinitely Many
Answer:
Pedro Dropdown 1: they Do not Intersect, they Are the same line
Step-by-step explanation:
3y = 6x + 6
y = 2x + 2
3y-6x = 6... Equation one
y-2x = 2... Equation two
Dividing equation one by 3 gives
Y -2x = 2. Which is same thing with equation 2
So I think the two are same line and do not intersect.
Answer:
Pedro: are the same line, infinitely many
Amy: is
Matt: always, infinitely many
Step-by-step explanation:
PEDRO: Since the lines are on top of one another, there are infinitely many solutions. These lines are called coinciding lines.
AMY: 3y = 6x + 6 is a multiple of y = 2x + 2. When one equation is a multiple of the other, there are infinitely many solutions to the system.
MATT: When the equation 3y = 6x + 6 is divided by 3, the quotient is equal to the first equation. The equations are equivalent, so they describe the same graphed line.
Find the measure of the indicated angle to the nearest degree please. Thanks.
Answer:
? = 35°Step-by-step explanation:
Let the angle be x
To find the indicated angle we use sine
sin ∅ = opposite / hypotenuse
From the question
7 is the hypotenuse
4 is the opposite
sin x = 4/7
x = sin-¹ 4/7
x = 34.85
x = 35° to the nearest degree
Hope this helps you
Simplify: 1. 4x−(1−2x)+(2x−7) 2. (3−0.4a)−(10−0.8a)
Answer:1.8(x -1)
2.0.4a -7
Step-by-step explanation:
can someone answer this
Answer:
Step-by-step explanation:
axis: x= 2
vertex: (2,3)
A ship traveled at an average rate of 25 miles per hour going west. It then traveled at an average rate of 19 miles per hour heading north. If the ship traveled a total of 145 miles in 7 hours, how many miles were traveled heading west?
Answer: 19.5 miles or 108.75 miles
Step-by-step explanation:
Let ship traveled to the west x hours and then to the north y hours. Total 7 hours. So we can write 1st equation
x+y=7 (1)
The ship traveled to the west x hours with speed 25 miles/h - the distance 25*x
The ship traveled to the north y hours with speed 19 miles/hour - the distance 19*y
Note that the angle between north and west directions is 90 degrees.
So if the initial traveling point is A, the final travelling point ic C and the point , where ther the ship has changed the travelling direction from West to North is B.
So we have the right triangle ABC, where B angle is right=90 degrees.
AB side=25*x, BC side= 19*y and AC side 145 miles.
According to Pithagor theorem we can write
AC^2=AB^2+BC^2
21025=625*x^2+ 361*y^2 (2)
Solve the system of equations (1) and (2)
y=7-x
625*x^2+361*(7-x)^2=21025
625*x^2+361*(49-14x+x^2)=21025
625*x^2+17689-5054*x+361*x^2=21025
986*x^2- 5054*x-3336=0 dividing on 2 we'll get
493*x^2-2527*x-1668=0
D=3096433 sqrt(D)=appr 1760
x1=(2527-1760)/493/2= appr 0.78 h
x2=(2527+1760)/493/2=appr 4.35 h
So the problem has 2 solutions :
heading west the ship traveled or 0.78*25= 19.5 miles
Or 4.35*25= 108.75 miles
Answer:
let w = time heading west at 25 mph
the total time is 7 hrs, therefore
(7-w) = time heading north at 19 mph
Distance = speed * time
25w + 19(7-w) = 145
25w + 133 - 19w = 145
25w - 19w = 145 - 133
6w = 12
w = 12/6
w = 2 hrs traveling west
therefore
2 * 25 = mile going west
Confirm this solution, 7 - 2 = 5 hrs going north
19 * 5 = 95mi
25 * 2 = 50mi
--------------
total dist 145 mi
Let ƒ(x) = x + 1 and g(x) = 5x. Evaluate the composition (ƒ ∘ g)(–1). Question 2 options: A) (ƒ ∘ g)(–1) = 6 B) (ƒ ∘ g)(–1) = –4 C) (ƒ ∘ g)(–1) = 4 D) (ƒ ∘ g)(–1) = –6
Answer:
answer B
Step-by-step explanation:
hello,
[tex]f(x)=x+1\\g(x)=5x \ \ so\\(fog)(-1)=f(g(-1))=f(-5)=-5+1=-4[/tex]
so the winner is the answer B
hope this helps
Answer:
D)
(ƒ ∘ g)(–1) = –4
Step-by-step explanation:
Which is true about all quadratic equations that contain a difference of squares? Only the value of c is a perfect square. Only the value of a is a perfect square. The value b=0. The value |b|=2[tex]\sqrt{a} \sqrt{c}[/tex]
Answer:
b = 0
Step-by-step explanation:
The standard form of a regular quadratic equation is ax² + bx + c and the standard form of the difference of squares is ax² - c. This means that b = 0 because there is no x term.
Draw an array to find 21÷3
Answer:
21÷3 =9
3×9=21
Therefore the answer is 9 .
Step-by-step explanation:
Hope it works out!Bi-Ready
Sofia
The area of a rectangle is square foot. The width of the rectangle is 2 feet. What is the length
the rectangle?
Answer:
The length of the rectangle is [tex]\dfrac{ 1}{3} \text{ feet}[/tex] .
Step-by-step explanation:
The complete question is: The area of a rectangle is 7/9 square feet. The width of the rectangle is 2 1/3 feet. What is the length of the rectangle?
Let the length of the rectangle be represented as 'L' and the width of the rectangle be represented as 'W'.
As we know that the area of the rectangle is given by;
Area of rectangle = Length of rectangle [tex]\times[/tex] Width of rectangle
Or
A = L [tex]\times[/tex] W
Here, we know the value of A = 7/9 square feet and W = 2 1/3 feet.
SO, [tex]\frac{7}{9} = \text{L} \times 2\frac{1}{3}[/tex]
[tex]\frac{7}{9} = \text{L} \times \frac{7}{3}[/tex]
[tex]\text{L} = \frac{7\times 3}{9\times 7}[/tex]
[tex]\text{L} = \frac{ 1}{3} \text{ feet}[/tex]
Hence, the length of the rectangle is [tex]\frac{ 1}{3} \text{ feet}[/tex] .