The equation of the translated function for this problem is given as follows:
y = ln(x + 8) + 12.
What are the translation rules?The four translation rules are defined as follows:
Left a units: g(x) = f(x + a).Right a units: g(x) = f(x - a).Up a units: g(x) = f(x) + a.Down a units: g(x) = f(x) - a.The parent function in this problem is given as follows:
y = ln(x).
The translations in this problem, and their effects, are given as follows:
8 units left: x -> x + 8.12 units up: y -> y + 12.Hence the translated function is defined as follows:
y = ln(x + 8) + 12.
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1. A softball player bats six times in a game. Each at-bat results in an out, getting on base or hitting a homerun.
2. A sandwich shop has three types of sandwiches: ham, turkey, and chicken. Each s andwich can be ordered with white bread or multi-grain bread. Customers can add any combination of the six available toppings
1. A softball player can have six (6) possible outcomes
2. Six (6) combinations can be made.
How do we make the values?Since the player bats six times, it means that there is possibility of having six outs, or six on base, or six homerun or even a mixture of the three outcomes in six times. The constant touch is six times
Since the sandwiches are just three types and can be ordered with either white bread or multi-grain bread, it means that there is possibility of having two different pairs each making six possible combinations of the available toppings.
Therefore, there will be six possible outcomes and six possible combinations of the sandwiches.
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The complete question goes thus:
1. A softball player bats six times in a game. Each at-bat results in an out, getting on base or hitting a homerun. How many possible outcomes can the player have?
2. A sandwich shop has three types of sandwiches: ham, turkey, and chicken. Each s andwich can be ordered with white bread or multi-grain bread. Customers can add any combination of the six available toppings. How many combinations can be made?
interpret the quote never confuse the size of your paycheck with the size of your talent
Note that the quote given above simply means that an employee or worker should never equate how much they earn to how much they are actually worth. This can take on different meanings depending on whether you want to assign a positive connotation to it or a negative one.
What is a quote in Literature?A quote is a verbatim reproduction of someone else's words that is generally surrounded by quotation marks and attributed to the original author or speaker.
Quoting implies paraphrasing someone else's remarks and citing the source. You must ensure the following when quoting a source:
The quoted content is surrounded by quotation marks or shown as a block quote.The original author is properly credited.The wording is exactly the same as the original.Learn more about Quotes:
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a culture of yeast doubles in size every 20 minutes. the size of the culture is now n0. find its size in 12 hours. how do you solve these problems? sugar is put in a large quantity of water and the mixture is stirred. after 2 minutes, 50% of the sugar has dissolved. how much longer will it take until 90% of the sugar has dissolved?
How much longer will it take until 90% of the sugar has dissolved can be obtained by the equation t = -(log(1-0.9))/(log(0.5)) + 2
1. To find the size of a yeast culture after 12 hours, you can use the formula: size = n0 * 2^(t/20), where t is the time in minutes. In this case, t = 12*60 = 720, so the size of the culture after 12 hours would be n0 * 2^(720/20) = n0 * 2^36.
2. To find how long it takes for 90% of the sugar to dissolve, you can use the formula: t = -(log(1-x))/(log(0.5)), where x is the percentage of sugar dissolved and t is the time in minutes. In this case, x = 0.9 and we know that 50% of the sugar has dissolved in 2 minutes, so we can find t by plugging in the values and solving for t: t = -(log(1-0.9))/(log(0.5)) + 2.
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The roots of the equation x²-kx+28=0 are alpha (a) and alpha (a) + 3. Find the values of k.
The possible values of k are -11 and 11.
Given that equation is: x²-kx+28
Roots are: [tex]\alpha ,\alpha +3[/tex]
To find: the value of x:
The general quadratic equation is:
ax²+bx+c
Product of roots=c/a
sum of roots=-b/a
From given,
x²-kx+28=0
a = 1
b = -k
c = 28
Therefore,
Product of roots=28/1=28
sum of roots=-k/1=-k
Given roots are:
[tex]\alpha ,\alpha +3[/tex]
Therefore,
The two roots are two numbers whose difference is 3 and whose product is 28
Those two roots are 4 and 7 or -4 and -7
Then, the sum of roots is:
4 + 7 = 11
-4 - 7 = -11
Therefore, the possible values of k are -11 and 11.
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grace tiene 240 en el banco ella quiere compre tantos videojuegos de 15 como sea posible ¿Cuantos videojuego podria comprar si ¿Queria mantener al menos 120 en el banco? Ayudenme porfa
Grace can buy 8 video games of price $15 each if she wants to save $120 from $240.
Grace puede comprar 8 videojuegos si quiere ahorrar $120 de $240
What does pricing mean?Pricing is the procedure of determining the value that a manufacturer will receive in the exchange of goods and services. To make the cost of the producer's products suitable for both the manufacturer and the customer, a pricing method is used. Pricing is determined by the firm's average prices as well as the consumer's estimation of an item's value in relation to that of similar goods from rival companies.
The remainder must be $12, so
(El resto debe ser $12, entonces)
240 - 120
= $120
Number of video games she could buy with $120
(Número de videojuegos que podría comprar con $120)
⇒ 120/15
= 8
Therefore, Grace can buy 8 video games if she wants to save $120 from $240.
Por lo tanto, Grace puede comprar 8 videojuegos si quiere ahorrar $120 de $240
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Translated question:
Grace has $240 in the bank. She wants to buy as many $15 video games as possible. How many video games could she buy if she wanted to keep at least $120 in the bank? help me please
The equation P = 2(l + w) can be used to find the perimeter P of a rectangle with length l and width w. Solve the equation for w to produce a formula for finding the width of a rectangle given its perimeter and length.
The formula is w =
Answer:
[tex]w = \frac{P - 2l}{2}[/tex]
Step-by-step explanation:
In this case, we will just simplify the given formula of the perimeter and re-arrange it to get the value of w.
[tex]P = 2(l + w)\\P = 2l + 2w\\P - 2l = 2w\\\frac{P - 2l}{2} = w[/tex]
Two car leave from the ame location but travel in the oppoite direction. The firt car travel an average of 50 mi/hr and leave 15 min before the econd car, which travel an average of 55 mi/hr. How long will each car travel before they are 200 mi apart?
The first car will travel for 38.2 hours and the second car will travel for 38 hours before they are 200 miles apart.
Let x = time in hours for the first car and y = time in hours for the second car. Since the two cars are traveling in opposite directions, we know that the rate of the cars' combined travel is the difference between their two rates. So, we can create the expression:
50x - 55y = 200
We can also create a second expression using the amount of time that passed between the two cars:
x - y = 0.25
We can solve this system of equations with substitution. Let's substitute the second equation into the first:
50x - 55(x - 0.25) = 200
Simplifying, we have:
5.25x = 200.25
Now, we can isolate x:
x = 200.25/5.25 ≈ 38.2 hours
We can use this value to find y. We know that x - y = 0.25, so we have:
y = x - 0.25 = 38.2 - 0.25 = 38 hours
Therefore, the first car will travel for 38.2 hours and the second car will travel for 38 hours before they are 200 miles apart.
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4^{x} = 2^{x-3}[/tex]
Answer:
X 3y 2
Step-by-step explanation:
Here is a rectangle with length 5 units and width 2 units.
1. What is the area of the rectangle?
2. Dilate rectangle ABCD from point A by a scale factor of 2. Calculate the area of the image.
3. Dilate rectangle ABCD from point A by a scale factor of 3. Calculate the area of the image.
This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.
Solving for the area and scale factor we have:
L= 5 units
W = 2 units
The area of the rectangle =L * WA = (5 x 2)
A = 10 square units.
If the rectangle is dilated from point A by a scale factor of 2, the area of the image:A= (Scale factor of L * W)* L * W
= (2 x 2 x 5 x 2)
A = 40 square units.
If the rectangle is dilated from point A by a scale factor of 3, the area of the image is:A= (Scale factor of L * W)* L * W
= (3 x 3 x 5 x 2)
A= 90 square units
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on a certain hot summer day 128 people used the public swimming pool. the daily prices are $1.50 for children and $2.00 for adults. the receipts for admission totaled $223.00. How many children and how many adults swam at the public pool that day?
The number of children and adults that swam in the pool that day is given as follows:
Children: 66.Adults: 62.How to obtain the number of children and adults?The variables to the system of equations are given as follows:
Variable x: number of children.Variable y: number of adults.128 people used the public swimming pool, hence:
x + y = 128.
x = 128 - y.
The receipts for admission totaled $223.00, hence:
1.5x + 2y = 223.
We have that x = 128 - y, hence the number of adults is obtained as follows:
1.5(128 - y) + 2y = 223
0.5y = 31
y = 62.
Then the number of children is obtained as follows:
x = 128 - 62
x = 66.
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Prompt: We recently completed a unit in math about transformations.
Compare and contrast the three types of transformations: translations, reflections, and rotations.
Include the algebraic rules, whether each transformation preserves congruence and any examples of
real-world application.
The translations, reflections, and rotations are types of transformations that change an original object to form a new image, each with its own specific rule and properties. They are used in a variety of real-world applications to change the position or orientation of objects.
There are 3 types of Transformations :
(i) Translation: A translation involves moving an object from one place to another without changing its size or orientation.
The algebraic rule for a translation is to add the same constant to each coordinate of each point
The Translations preserve congruence, meaning that corresponding parts of congruent figures will still be congruent after a translation.
An example of a real-world application of translation is moving a store to a new location.
(ii) Reflection: A reflection involves flipping an object over a line or point, creating a mirror image.
The algebraic rule for a reflection is to negate the value of one of the coordinates.
Reflections preserve orientation, meaning that the orientation of the reflected image is opposite that of the original object.
An example of a real-world application of reflection is looking at your reflection in a mirror.
(iii) Rotation: A rotation involves turning an object about a fixed point, called the center of rotation, through a certain angle.
The algebraic rule for a rotation is to multiply each coordinate by a rotation matrix.
Rotations preserve distance and angle measures, meaning that the lengths of corresponding parts and the angles between them are equal in the original and rotated images.
An example of a real-world application of rotation is turning a steering wheel to change the direction of a car.
The given question is incomplete , the complete question is
Compare and contrast the three types of transformations: translations, reflections, and rotations.
Include the algebraic rules, whether each transformation preserves congruence and any examples of real-world application.
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Simplify 2h+3h^2−4g^4+5f^2+11g^4−4h+f^2
Answer:3h^2 + 7g^4 + 5f^2 - 4h - 4g^4
Step-by-step explanation:To simplify the expression 2h+3h^2−4g^4+5f^2+11g^4−4h+f^2, we can follow these steps:
Group together like terms:
2h + (-4h) = -2h
3h^2 + f^2 = 3h^2 + f^2
-4g^4 + 11g^4 = 7g^4
This gives us the expression: -2h + 3h^2 + 5f^2 + 7g^4
Combine the constants:
3h^2 + 5f^2 + 7g^4 = 3h^2 + f^2 + 7g^4
Combine the like terms:
-2h + 3h^2 + f^2 + 7g^4 = 3h^2 + f^2 + 7g^4 - 2h
So, the simplified expression is: 3h^2 + 7g^4 + 5f^2 - 4h
After simplifying, the expression we'll get, 2h+3h^2+7g^4+6f^2-4h.
To simplify these algebraic expressions, we need to group the like terms. Like terms can be defined as terms that contain the same variables raised to the same power. Only the numerical coefficients are different.
After grouping like terms, perform the required operations. Here we have two operations i.e addition and subtraction. So group the like terms which need to add and those which need to subtract.
For example, Here -4g^4+11g^4 are like terms and 5f^2+f^2 are like terms. So we'll subtract 4 from 11, we'll get 7 and the variable will remain the same that is g^4. Similarly, we'll add 5 and 1, we'll get 6 and the variable will remain the same that is f^2.
Other terms will remain as it is.
2h+3h^2+(-4g^4+11g^4)+(5f^2+f^2)-4h
2h+3h^2+7g^4+6f^2-4h
Therefore the answer is, 2h+3h^2+7g^4+6f^2-4h
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Evaluate the expression.
8+(22+15)
=
Step-by-step explanation:
8 + (22 + 15) = 8 + 37 = 45
To evaluate the expression, we must first perform the operations inside the parentheses. In this case, 22 + 15 = 37. Then we can add 8 to that result, which gives us 8 + 37 = 45. So the final value of the expression is 45.
Answer:
Using BODMAS, you are to solve the one in the bracket
22+15 which=37
then you add it to 8
37+8=45
The town is mapped on a coordinate grid with the NBI at (2, 3) and Philippine Statistics Authority (PSA) at (-4, -5). How far apart are they?
a. 10 units
b. 13 units
c. 11 units
d. 12 units
The town and PSA are (a) 10 units apart
How to determine how far they are apartFrom the question, we have the following parameters that can be used in our computation:
Points = (2, 3) and (-4, -5)
The distance between the two towns can then be calculated using the following distance equation
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
substitute the known values in the above equation, so, we have the following representation
distance = √[(2 + 4)² + (3 + 5)²]
Evaluate
distance = 10
Hence, the distance apart is 10 units
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Pre-Quiz th Percent - Item 35684 Guided Learning Practice A baseball team played 55 games this year. They won 33 games and lost 22 games. What percent of games did they lose? Po
The percentage of games they lose is 40%.
How do you calculate percentage in different ways?The most basic approach is to divide a number by the total and then multiply by 100. For example, if you have 10 out of a total of 25, you would divide 10 by 25 to get 0.4, and then multiply by 100 to get 40%.
Another way to calculate percentage is to use proportion. This involves setting up a proportion with the given numbers and the percent you want to find on one side and 100 on the other side. For example, if you have 10 out of 25 again and want to find the percent, you would set up the proportion 10/25 = x/100. Solve for x and you get 40%.
Another method is to use a percentage calculator. This is a simple tool that allows you to enter two numbers and it will automatically calculate the percentage for you.
Finally, if you need to calculate the difference between two percentages, you can subtract the smaller percentage from the larger one. For example, if you have 10 out of 25 and 15 out of 30, you would subtract 40% from 50% to get 10%.
All of these methods can help you calculate percentages quickly and easily.
Total number of games team played = 55 games
number of games they won = 33
number of games they lose = 22
The percentage of games they lose = 22/55 x 100 = 40%
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what is the remainder when 5x-3 is divided by x-4
Answer:
The answer is 4
answer mine
What is the value of 1/2 ÷ 1/3? Pls someoneeeeeeee answerrr
Answer: 1 1/2
Step-by-step explanation:
You have to do the keep change flip method where you keep the first fraction the same change the sign to a multiplication sign and flip the other fraction, it would then look like this: 1/2 x 3. after just multiply across and you get 1.5
8x+4y=49
3x+2y=21
solve using elimination
The solution of the equations using elimination method is x = 2.5, y = 5.25
How to solve equations using elimination method?The elimination method is a method used to solve systems of linear equations. It involves manipulating the equations in such a way that one of the variables is eliminated, resulting in an equation in one variable that can be easily solved.
8x+4y = 49 --- (1)
3x+2y = 21 ----(2)
To eliminate x, multiply (1) by 3 and multiply (2) by 8. Then subtract the result. That is:
3 × (8x+4y = 49) = 24x + 12y = 147
8 ×(3x+2y = 21) = 24x + 16y = 168
.......................................................................
4y = 21
.........................................................................
4y = 21
y = 21/4
y = 5.25
Put y = 5.25 into (1):
8x+4y = 49
8x + 4(5.25) = 49
8x + 21 = 49
8x = 49 -21
8x = 28
x = 28/8
x = 3.5
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(6n+ 3)(6n- 4) find each product
The product of the two expressions is equal to 36n²-6n-12
What Is Distributive Property?According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Given here: The expression (6n+ 3)(6n- 4)
Using the distributive property of multiplication we get
(6n+ 3)(6n- 4)
6n(6n-4)+3(6n-4)
Now arranging the like terms and again applying the distributive property we get
36n²-24n+18n-12
36n²-6n-12
Hence, The product of the two expressions is equal to 36n²-6n-12
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CONNECTING CONCEPTS Find the value of x such that the quadrilateral is a parallelogram. Then find the perimeter of the parallelogram. Explain.
The value of 'x' must be 4 units such that the quadrilateral is a parallelogram and the perimeter of the parallelogram is 40 square units.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The area of a parallelogram is base multiples by height as two triangles form a parallelogram.
We know the opposite sides of a parallelogram are equal.
Therefore, 3x - 1 = x² - 5 and 2x + 1 = x² - 7.
x² - 5 - 3x - 1 = 0.
x² - 3x - 4 = 0, solving for x we have x = 4.
And,
2x + 1 = x² - 7.
x² - 7 - 2x - 1 = 0.
x² - 2x - 8 = 0, solving for x we have x = 4
(Negative values are inadmissible).
The perimeter of the parallelogram is 2×(the sum of the opposite sides).
= 2(3x - 1 + 2x + 1).
= 2(5x).
= 2×5×4.
= 40 square units.
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true or false: residuals measure the vertical distance between two observations of the response variable.
Residuals measure the vertical distance between two observations of the response variable - False.
An individual data point's residual is a measurement of how well a line fits it. Take a look at this straightforward data set with a line of fit through it.
The discrepancy between expected values of y (the dependent variable) and actual values of y is the residual for each observation. Relative to projected and actual y values, residual is equal to yi. Actual y value minus expected y value equals residual; therefore, r I = y I y i.
A symbol (often a letter) used in mathematics to represent an unknowable numerical value in an equation or algebraic statement.
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PLSSS HELP IF YOU TURLY KNOW THISSS
Answer:
x = 2
Step-by-step explanation:
18/9=2
9x2=18
os this scam orrr.... what?
Answer:
x=2
Step-by-step explanation:
9x=18
To solve for X we need to have just X on one side. We can do this by dividing each side by 9. Which is equal to the original because we are dividing by the same thing on both sides.
9x/9=18/9
This simplifies to x=2
We can check by putting 2 back into the equation:
9(2)=18
And that is true so we know we have a correct answer.
A recipe for hot chocolate requires 4 cups of milk , 1/4 cup of chocolate powder , 1/3 cup of honey. Write the ratio of milk to chocolate powder to honey as a whole ratio in its simplest form PLS ANSWER. ILL HIVE WHOEVER AMSWERS BRAINLIEST
A recipe for hot chocolate requires 4 cups of milk , 1/4 cup of chocolate powder , 1/3 cup of honey and for which Simplified Ratio is 16 : 1 : 3.
This can be calculated by following steps:
Find the ratio of milk to chocolate powder.
Ratio of Milk to Chocolate Powder = 4 : 1/4
Find the ratio of chocolate powder to honey.
Ratio of Chocolate Powder to Honey = 1/4 : 1/3
Find the ratio of milk to chocolate powder to honey.
Ratio of Milk to Chocolate Powder to Honey = 4 : 1/4 : 1/3
Simplify the ratio in its simplest form.
Simplified Ratio = 16 : 1 : 3
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while walking in the country, you count 28 heads and 78 feet in a field of pigs and chickens. how many of each animal are there?
Answer:
There are 11 pigs and 17 chickens.
Step-by-step explanation:
Lets let
p = number of pigs
c = number of chickens
Assuming each animal has only one head, then
p + c = 28
And assuming that pigs have four feet and chickens have two feet:
pig feet = 4p
that is, 4 feet for each pig, and
chicken feet = 2c
right? two feet per chicken.
All the feet are:
4p + 2c = 78
Now we have two equations and two unknowns, so we can solve this "system of equations". You can use substitution or elimination method (or even graphing or matrices) I will run through elimination method.
Multiply p+c=28 times -2.
-2p + -2c = -56
then add the whole equation to the other equation. Do this adding vertically, from top to bottom.
-2p + -2c = -56
4p + 2c = 78
_____________
2p = 22
Divide by 2 to solve
p = 11
There are 11 pigs.
Remember,
p + c = 28
11 + c = 28
subtract 11
c = 17
There are 17 chickens.
Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=36
Answer: x = 11
Step-by-step explanation:
2(x+7) = 36
x + 7 = 18 <-- dividing both sides by two
x = 11
There are multiple different paths you can take in order to get this answer, all equally simple. You could open up the bracket, move to one side, and then divide, however if you were to have the answer in the most efficient and least amount of steps I would suggest doing this.
You spend $7.50 on a pair of gloves. Now you have $8.00 how much money did u have originally
Answer:
15.50$
Step-by-step explanation:
7.5+8= 15.5
A walker notes that a monument is due North and 7.5 Km from him. He then walks on a bearing of 041. Calculate how far he is from the monument at this point to 2 decimal places.
In a case whereby walker notes that a monument is due North and 7.5 Km from him. He then walks on a bearing of 0.41 the distance from the monument at this point is 5.63km
How can the the distance be calculated?The concept that will be use is bearing. A bearing is the angle, measured in degrees clockwise from north, in mathematics. In most cases, bearings are specified as three-figure bearings. For instance, the standard notation for 30° clockwise from north is 030°.
From the diagram we can see that the interpretation gave us a triangle and from trigonometry,
Cos θ= adjacent / hypothenus
Then Cos 41 = XY/XM
Cos 41 = XY/7.5
0.75 = XY/7.5
0.75 *7.5 =5.63km
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Which of the following is a solution set for the following graph?
The solution set for the given graph is (4, 1)
How to determine the solution set of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have two straight lines of inequalites
The point that represent the solution set is any point in the shaded region
This is so because the lines are inequality lines
An instance of these points is (4, 1)
Hence, the point is (4, 1)
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How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answer:
3/8
Step-by-step explanation:
In these type of problems, I like making all of my denominators the same.
1/8 is good.
1/2 is half. 4/8 is also half. I'll use 4/8 because 1/8 also has the 8
A whole circle is 100%, which is 1/1. It's also 8/8
To find the shaded area, we'll first add 1/8 and 4/8. That equals 5/8. We just have to add nominators/top now because the denominator/bottom is the same
Now we'll subtract 8/8 from 5/8. Again denominator is the same, so we only need to subtract the top
8-5=3
Also known as 3/8
a 16 pound bag of kitty kibbles is . an -pound bag of feline flavor is . which statement about the unit prices is true?
If a 16 pound bag of Kitty Kibbles is $20.80 and 8-pound bag of Feline Flavor is $11.20 then the true statement about the unit price is (D) Kitty Kibbles has a lower unit price of $1.30/pound .
the cost of the 16 pound bag of Kitty Kibbles is = $20.80 ;
So , the cost of 1 pound bag of Kitty Kibbles is = $20.80/16
= $1.3 ;
the cost of 8 pound bag of Feline Flavor is = $11.20 ;
So , cost of 1 pound bag of Feline Flavor is = 11.20/8 ;
= $1.4 ;
on comparing both the unit prices , we get that the per unit cost of Kitty Kibbles is lower and the price is $1.3 ;
Therefore , the true statement is (D) Kitty Kibbles has a lower unit price of $1.30/pound .
The given question is incomplete , the complete question is
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true ?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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