For matrices: A = -1-41] 0 2 2 2 30] B = 33 -1 2 A. What is the dimension of A and B? B. What is the dimension of A B? C. What is A'B?
Answers
A. the dimension of A is 3x3. the dimension of B is 3x2.
B. the dimension of AB will be 3x2.
C. The value of AB = [[ -15 14] [ 4 -2] [ 13 -9]]
A. The dimension of a matrix is given by the number of rows and columns it has.
For matrix A, we have:
A = [[-1 -4 1], [0 2 2], [2 3 0]]
The matrix A has 3 rows and 3 columns, so the dimension of A is 3x3.
For matrix B, we have:
B = [[2 0], [3 -3], [-1 2]]
The matrix B has 3 rows and 2 columns, so the dimension of B is 3x2.
B. To multiply two matrices, the number of columns in the first matrix must be equal to the number of rows in the second matrix. In this case, A has 3 columns and B has 3 rows, so we can multiply them.
The dimension of AB will be the number of rows of A and the number of columns of B. Therefore, the dimension of AB will be 3x2.
C. [-1 -4 1] * [2 0]
[0 2 2] [3 -3]
[2 3 0] [-1 2]
[-2-12-1 0+12+2]
= [0+6-2 0-6+4]
[4+9+0 0-9+0]
[ -15 14]
= [ 4 -2]
[ 13 -9]
The value of AB = [[ -15 14] [ 4 -2] [ 13 -9]]
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Given question is incomplete, the complete question is below
For matrices: A =[[ -1 -4 1] [0 2 2][ 2 3 0]] B =[[2 0] [3 -3 ][-1 2] ]
A. What is the dimension of A and B?
B. What is the dimension of A*B?
C. What is A*B?
Related Questions
please help, I suck at math and I cant play no games til I finish everything..sad.
Answers
Answer:
true;the expression s are the same for all values of the variables
Penelope needs to borrow $10,000. She can borrow the money at 6.5% simple interest for 6 yr or she can borrow at 5% with
interest compounded continuously for 6 yr.
(a) How much total interest would Penelope pay at 6.5% simple interest?
(b) How much total interest would Penelope pay at 5% interest compounded continuously?
(c) Which option results in less total interest?
Answers
The loan options which would result in less total interest is borrowing money at 6.5% simple interest.
Given the following data:
Principal, P = $10,000.Interest rate, R = 6.5%Time, T = 6 yearsInterest rate 2 = 5%To determine which of the loan options would result in less total interest:
For simple interest:
Mathematically, simple interest is given by the formula:
\(\text{S.I}=\dfrac{\text{PRT}}{100}\)
\(\text{S.I}=\dfrac{10000\times6.5\times6}{100}\)
\(\text{S.I}=10000\times6.5\times6\)
S.I = $3.900.
For compound interest:
Mathematically, an interest that is compounded continuously given by the formula:
\(\text{A}=\text{Pe}^{\text{rt}}\)
\(\text{A}=3900\times\text{e}^{0.05\times6}\)
\(\text{A}=3900\times\text{e}^{0.30}\)
\(\text{A}=3900\times1.3499\)
A = $5,264.61
\(\text{Interest}=\text{A}-\text{P}\)
\(\text{Interest}=5264.61-3900\)
Interest = $1,364.61
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the teacher workroom has a small room used for the meetings that it shaped like a square . if one wall measures 8 feet what is the area of the floor of that meeting room
Answers
The area of the teacher workroom is 64 feet squared
Hayley borrowed $1,854 from her parents. She agreed to repay them in equal installments throughout the next 18 months. How much will Hayley still owe her parents after a year
Answers
Answer: $ 618
Step-by-step explanation:
Money borrowed = $1,854
Total months taken to repay = 18 (Number of installments)
Money paid per month = \(\dfrac{\text{Money borrowed}}{\text{Number of installments}}\)
\(=\dfrac{1854}{18}=\$103\)
Now , money paid in 1 year = 12 x $ 103 =$ 1236 [1 year = 12 months ]
After a year , Haley still owe = $1,854 - $ 1236= $ 618
Hence, Haley still owe her parents $618 after a year .
-PM is a diameter of ®R . Identify the arc as a major arc, minor arc, or semicircle. Then find its measure.
c. MNQ
Answers
The arc MNQ in ®R, with PM as its diameter, is a semicircle.
Why is arc MNQ considered a semicircle when PM is its diameter?A semicircle is defined as an arc that measures exactly 180 degrees, forming half of a circle. In this case, PM is a diameter of the circle, which means it passes through the center of the circle. By definition, any arc formed by a diameter will always be a semicircle.
The measure of a semicircle is fixed at 180 degrees. It is important to note that this measurement applies to the central angle of the arc, which is the angle formed at the center of the circle. In this case, angle MNQ, which is subtended by the arc MNQ, would have a measure of 180 degrees since it is a semicircle.
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Terry has 3 pairs of pants (black, khaki, and brown) and 4 shirts (yellow, red, blue, and white). He does not care which colors he wears together. How many different outfits can Terry make
Answers
Answer: 12 different outfits
===========================================================
Explanation:
We simply multiply the values given to us. Think of a table that has 3 rows and 4 columns. The rows represent the different colors of pants Terry can wear. Each column is a different color shirt. Since we have 3 rows and 4 columns, we have 3*4 = 12 cells inside the table. Each cell represents a combination of pants and shirt colors. This means there are 12 different outfits possible.
Answer:
12
Step-by-step explanation:
if he has 3 pairs of pants and doesn't care what colors he wears then each shirt can go with the pants once and since there a 4 shirts and three pants then 3 times 4 =12
Find the third and first quartile of the data: 0 0 1 6 9 9 10 11 11 12 13 14 15 15 21 22
Answers
The first and third quartiles of the given data set are 7.5 and 15.
What is the Median?The median represents the middle number when a dataset is arranged in order. The median is the value that falls in the center when there are an odd number of values. The median is the average of the two center values when there are even more values.
The methods listed below can be used to determine the first and third quartiles of the provided data set:
Step 1: A data collection should be arranged in ascending order:
0 0 1 6 9 9 10 11 11 12 13 14 15 15 21 22
Step 2: Determine the data set's middle.
The median value in the data collection is known as the median. The median is the middle value when the number of values in the data collection is odd. The median is the average of the two middle values when the number of values in the data collection is even.
The data set in this instance contains 16 values, which is an even amount. In order to calculate the average, we select the two middle values:
Median = (11 + 12) / 2 = 11.5
Step 3: Calculate the first quartile (Q1).
In the bottom half of the data set, Q1 represents the median. The median of the bottom half of the data set must first be determined in order to determine Q1.
The lower half of the data set: 0 0 1 6 9 9 10 11
It is an even number since the bottom half of the data set contains 8 values. Consequently, we calculate the average of the two center values:
Median of lower half = (6 + 9) / 2 = 7.5
Therefore, Q1 = 7.5
Step 4: Calculate the third quartile (Q3).
The middle point of the data set's top half is Q3. The median of the top half of the data set must first be determined before we can determine Q3.
The upper half of the data set: 12 13 14 15 15 21 22
Seven values, an odd number, are present in the data set's top half. The median, then, is the midpoint of the range:
The median value for the top half is 15.
Therefore, Q3 = 15
Hence, the first and third quartiles of the given data set are 7.5 and 15, respectively.
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You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of the can (radius and height) will use the least amount of material?
Answers
To design a can shaped like a right circular cylinder that minimizes the amount of material used, we can utilize the concept of optimization.
dA/dr =
-864/r² + 4πr = 0
However, you can solve the equation numerically or by using optimization methods.
Let's assume the radius of the cylinder is "r" and the height is "h."
The volume of a right circular cylinder is given by the formula V = π\(r^{2h}\).
In this case, the volume is given as 432π cm³. So, we have:
π\(r^{2h}\) = 432π
We want to minimize the surface area, which is the amount of material used to construct the can.
The surface area of a right circular cylinder is given by the formula A = 2πrh + 2πr².
Now, we need to express the surface area "A" in terms of a single variable to apply optimization techniques.
We can use the volume equation to solve for "h":
h = 432/(πr²)
Substituting this value of "h" in the surface area equation, we get:
A = 2πr(432/(πr²)) + 2πr²
= 864/r + 2πr²
Now, we have the surface area "A" as a function of the variable "r."
To find the minimum amount of material, we need to find the value of "r" that minimizes the surface area.
To do this, we can take the derivative of "A" with respect to "r" and set it equal to zero:
dA/dr =
-864/r² + 4πr = 0
Solving this equation will give us the value of "r" that minimizes the surface area.
Once we find "r," we can substitute it back into the equation for "h" to get the corresponding height.
Unfortunately, due to the complexity of the calculations involved, it's not possible to provide an exact numerical solution without further computations.
However, you can solve the equation numerically or by using optimization methods to find the values of "r" and "h" that minimize the amount of material used in the can.
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Which of the following statements for a simple graph is correct?a) Every path is a trailb) Every trail is a pathc) Every trail is a path as well as every path is a traild) Path and trail have no relation
Answers
Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.
In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.
Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.
Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.
Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.
Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.
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what is the perimeter of a square with a diagonal of 10 centimeters? round to the nearest whole number.
Answers
Answer:
P≈28.28cm = 28 cm
Step-by-step explanation:
Using the formulas
P=4a
d=√2a
Solving forP
P=2 √2d=2·√2·10≈28.28427cm
The number of trams X arriving at the St. Peter's Square tram stop every t minutes has the following probability mass function: (0.27t)* p(x) = -exp(-0.27t) for x = 0,1,2,... x! The probability that 3
Answers
You can continue this pattern to calculate the cumulative probability for 3 or more trams arriving. The more terms you include, the more accurate the estimation will be.
To find the probability that 3 or more trams arrive at the St. Peter's Square tram stop every t minutes, we need to calculate the cumulative probability for x = 3, 4, 5, ...
The given probability mass function is:
p(x) = (-exp(-0.27t)) * (0.27t)^x / x!
Let's calculate the cumulative probability using this probability mass function:
P(X ≥ 3) = p(3) + p(4) + p(5) + ...
P(X ≥ 3) = (-exp(-0.27t)) * (0.27t)^3 / 3! + (-exp(-0.27t)) * (0.27t)^4 / 4! + (-exp(-0.27t)) * (0.27t)^5 / 5! + ...
Please note that the calculation becomes an infinite series, and the summation might not have a closed-form solution depending on the specific values of t. In such cases, numerical methods or approximations can be used to estimate the cumulative probability.
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what is the correct way to measure the zone of inhibition?
Answers
The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.
What is Area?Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.
The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.
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Find the sum of the first 10 terms of an arithmetic sequence with an eighth term of 8.2 and a common difference of 0.4.
Answers
The sum of first 10 terms is 72.
Concept: Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.
Arithmetic Progression Formula
= an - a. nth term of an AP: an = a + (n - 1)d. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.
Given:
Eighth term is 8.2
Common difference is 0.4
a(8) = 8.2
a + 7d = 8.2
Since d = 0.4
a + 7(0.4) =8.2
a = 5.4
Sum of 10 terms = n/2 (2a+(n-1)d)
= 5(2*5.4 + 9*0.4)
=5(10.8 +3.6)
Sum=72
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The solution of a certain differential equation is of the form [y(t) = a exp(3 t) + b exp(4 t)] where (a) and (b) are constants.
The solution has initial conditions (y(0) = 5) and (y'(0) = 5 )
Find the solution by using the initial conditions to get linear equations for (a) and (b)
Answers
Solution to the given differential equation with the provided initial conditions is: y(t) = 15 * exp(3t) - 10 * exp(4t)
To find the values of constants 'a' and 'b' in the given differential equation solution, we can use the initial conditions to form a system of linear equations.
Given solution: y(t) = a * exp(3t) + b * exp(4t)
We have two initial conditions:
1. y(0) = 5
2. y'(0) = 5
Let's start by using the first initial condition, y(0) = 5:
Substituting t = 0 into the solution equation:
y(0) = a * exp(3 * 0) + b * exp(4 * 0)
5 = a * 1 + b * 1
5 = a + b ---(Equation 1)
Now, let's differentiate the solution equation with respect to t to find y'(t):
y'(t) = 3a * exp(3t) + 4b * exp(4t)
Next, we use the second initial condition, y'(0) = 5:
Substituting t = 0 into the differentiated equation:
y'(0) = 3a * exp(3 * 0) + 4b * exp(4 * 0)
5 = 3a * 1 + 4b * 1
5 = 3a + 4b ---(Equation 2)
So now we have a system of linear equations:
Equation 1: 5 = a + b
Equation 2: 5 = 3a + 4b
We can solve this system of equations to find the values of 'a' and 'b'.
Subtracting Equation 1 from Equation 2:
(5 - 3a - 4b) - (5 - a - b)
2a + 3b = 0
Now, we can solve this linear equation for 'a' in terms of 'b':
2a = -3b
a = (-3/2)b
Substituting this value of 'a' into Equation 1:
5 = (-3/2)b + b
5 = (-1/2)b
b = -10
Substituting the value of 'b' back into Equation 1:
5 = a + (-10)
5 = a - 10
a = 15
Therefore, the values of 'a' and 'b' are:
a = 15
b = -10
The solution to the given differential equation with the provided initial conditions is:
y(t) = 15 * exp(3t) - 10 * exp(4t)
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Which equation reveals the minimum or the maximum value of f(x) without changing the form of the equation?
A f(x) = (x – 1)2 + 2
6 f(x) = x2 – 2 – x + 1
© f(x) = x2 – 2x + 1
D f(x)= (x - 1)(x - 1)
Answers
Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in vertex form: y = a(x - h)² + k, where:
The vertex of the graph is (h,k).The value of a determines whether the graph opens up or down. If a is positive, the graph opens up and the vertex is its minimum point. If a is negative, then the graph opens down, and the vertex is its maximum point. The value of h determines how far left or right the parent function is translated. The value of k determines how far up or down the parent function is translated.The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's minimum value, as the value of a is a positive, which implies that the parabola is upward facing, and the vertex, (1, 2) is the minimum point.
Please mark my answers as the Brainliest if you find this helpful :)
Please as soon as possible
Answers
Answer:
8/-7
Step-by-step explanation:
using the equation: y₂-y₁/x₂-x₁
10-2/0-7 = 8/-7
Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).Each server can handle 8.15 customers per minute(Poisson). If there are 3 servers, determine the average time it takes to rent a video tape. a. 0.085 minutes b. 0.219 minutes C. 0.018 minutes d. 0.141 minutes
Answers
The average time it takes to rent a video tape is 0.141 minutes.
Given data:Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).
Each server can handle 8.15 customers per minute(Poisson). If there are 3 servers, we need to determine the average time it takes to rent a video tape.
Let us assume λ = 12 and μ = 3 × 8.15 = 24.45
Average time it takes to rent a video tape = 1 / (μ - λ/n)
Where, n = number of servers⇒ Average time it takes to rent a video tape = 1 / (24.45 - 12/3)⇒ Average time it takes to rent a video tape = 1 / 8.45⇒ Average time it takes to rent a video tape = 0.1185 minutes = 0.141 rounded to three decimal places.
Thus, the average time it takes to rent a video tape is 0.141 minutes.
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a person buys 6 bags of chips for 18 dollars. How much is it per bag
Answers
Answer:
hope it helps you..........
Need help on this one last question
Answers
Answer:
available
Step-by-step explanation:
if its available if available comment
Midpoint of a line with points 5 1/2,-4 1/2 and 3 3/4, -1 1/4
Answers
Therefore, The midpoint of the line with points (5 1/2,-4 1/2) and (3 3/4, -1 1/4) is (4 5/8, -2 7/8).
The midpoint of a line is the point that lies precisely in the middle of the line segment. To find the center of the line with points (5 1/2,-4 1/2) and (3 3/4, -1 1/4), we need to add the x-coordinates of the two points and divide by 2 to get the x-coordinate of the midpoint, and then do the same for the y-coordinates.
So, the x-coordinate of the midpoint is (5 1/2 + 3 3/4) / 2 = 4 5/8, and the y-coordinate is (-4 1/2 + (-1 1/4)) / 2 = -2 7/8. Therefore, the midpoint of the line is (4 5/8, -2 7/8).
Therefore, The midpoint of the line with points (5 1/2,-4 1/2) and (3 3/4, -1 1/4) is (4 5/8, -2 7/8).
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tofurkey is a vegan turkey substitute, usually made from tofu. at a certain restaurant, the number of calories in a serving of tofurkey with wild mushroom stuffing and gravy is normally distributed with mean 482 and standard deviation 30. find the 92nd percentile of the number of calories. find the 30th percentile of the number of calories. find the third quartile of the number of calories.
Answers
(a) The 92nd percentile of the number of calories is 524.3.
(b) The 30th percentile of the number of calories is 466.4.
(c) The third quartile of the number of calories is 502.1.
What is the percentile of the distribution?To find percentiles in a normally distributed population, we use the standard normal distribution and the z-score formula:
z = (x - μ) / σ
where;
x is the value we want to find the percentile for, μ is the population mean, σ is the population standard deviation, and z is the corresponding z-score.To find the 92nd percentile of the number of calories:
We want to find the value x such that 92% of the servings have fewer calories than x.
This means that we need to find the z-score such that the area to the left of z is 0.92.
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to an area of 0.92 is approximately 1.41.
Then, we use the z-score formula to solve for x:
1.41 = (x - 482) / 30
x - 482 = 42.3
x = 524.3
To find the 30th percentile of the number of calories:
We want to find the value x such that 30% of the servings have fewer calories than x.
This means that we need to find the z-score such that the area to the left of z is 0.30.
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to an area of 0.30 is approximately -0.52.
Then, we use the z-score formula to solve for x:
-0.52 = (x - 482) / 30
x - 482 = -15.6
x = 466.4
To find the third quartile of the number of calories:
The third quartile, denoted Q3, is the value such that 75% of the servings have fewer calories than Q3.
This means that we need to find the z-score such that the area to the left of z is 0.75.
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to an area of 0.75 is approximately 0.67.
Then, we use the z-score formula to solve for x:
0.67 = (x - 482) / 30
x - 482 = 20.1
x = 502.1
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Type the correct awnser in the box
The value of x is _____ and the value of y is____.
Answers
Answer:
X= 60 Y= 50
Step-by-step explanation:
180-50-60= 70 (not marked angle)
180-50-70= 60 (angle x)
180-70-60= 50 (angle y)
Answer:
x=60
y=50
Step-by-step explanation:
I think this is right.
What are values of X mean in maths
Answers
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown".
Step-by-step explanation:
In x + 2 = 7, x is a variable, but we can work out its value if we try:)
Answer:
it
Step-by-step explanation:
it consider as aalgrebraic expression referred as many things for 3x we can take let x
Students in AP classes tend to increase their time studying in the weeks before the test. The
histograms show the distributions of studying times for a group of female students and a group of
male students during the week prior to their AP tests. Compare the distributions using their shapes
and appropriate measures of center and variation.
Answers
According to the information, we can infer that the histograms indicate that female students tend to have a higher frequency of studying times compared to male students during the week prior to their AP tests.
How to compare the distributions of each graph?By comparing the histograms, we can observe that the frequency of studying times for female students is generally higher across all time intervals compared to male students. Female students have a higher frequency in each category, indicating that they spend more time studying than male students during the week before the AP tests.
To further analyze the distributions, we can also consider the measures of center and variation. The measures of center, such as the mean or median, would provide insights into the typical studying time for each group. Additionally, measures of variation, such as the standard deviation or interquartile range, would indicate the spread or variability of studying times within each group.
Accoding to the above, based on the provided frequency distributions, it can be concluded that female students tend to dedicate more time to studying during the week prior to their AP tests compared to male students.
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35.5 m and 29.8 m and 6.3 m
Answers
Answer:
71.6 meters
hope this helps have a nice day ;)
Step-by-step explanation:
i will mark brainliest please help
Answers
Answer:
The answer would be two and four
Step-by-step explanation:
Answer:
II and IV
Step-by-step explanation:
H and S only would appear the same after 180° rotation.
For FHG find the measure of the smallest angle ∠HFG, if m∠GHF = 92° and m∠HGF =72°
will give brailist to correct answer and if you show the work
Answers
The sum of the measure of angle of a triangle = 180° .
Given two angles = 92° and 72°
_________________________92° + 72° = 164°
180° - 164° = 16° (Ans)
Answer:
the answer is 16!
A number is called "bright" if it is 34 times larger than the sum of its digits. How many "bright" three-digit numbers are there?
A : 0
B : 1
C : 2
D : 3
E : 4
Answers
Step-by-step explanation:
Let the number be \(\overline{abc}=100a+10b+c\).
\(100a+10b+c=34a+34b+34c \\ \\ 66a-24b-33c=0 \\ \\ 22a-8b-11c=0\)
Taking the equation mod \(11\) yields \(-8b \equiv \pmod{11}\), meaning \(b=0\).
So, \(22a-11c=0 \implies c=2a\).
So, the only possibilites are \((a,c)=(1,2), (2,4),(3,6), (4,8)\).
Therefore, there are \(4\) such numbers.
1. A hydraulic cylinder is used to raise the bucket on a front-end loader. The outputpiston measures 2 inches in diameter. Apressure of 1,800 pounds per square inch(psi) is applied to the piston.a. Find the area of the output piston to thenearest tenth.b. Find the force exerted by the piston usingthe correct number of significant digits.
Answers
To find the area of the piston, use the given diameter to find the radius and then replace in the formula of the area of a circle:
\(A=\pi\cdot r^2\)Remember that radius is half the diameter, which means the radius is 1 inch in this case:
\(\begin{gathered} A=\pi\cdot1^2 \\ A=\pi\text{ } \end{gathered}\)The area of the circle is pi, rounded to the nearest tenth, it is 3.1 square inches.
To find the force exerted by the piston, use the pressure in pounds per square inch as a rate or a conversion factor.
\(3.1in\cdot\frac{1800pounds}{1in}=5580pounds\)The force exerted is 5580 pounds.
Sabrina purchased three-fourths pound of apples and one-half pound of nuts.what is the total cost of these items to the nearest cent?
Answers
Using unitary method, the total cost of three-fourths pound of apples and one-half pound of nuts is 5.86 cents.
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Cost of one pound of apple = 2.49 cents
apples purchased = 3/4 pound
Cost of apples purchased = 1.8675 cents
cost of one pound of nuts = 7.98 cents
nuts purchased = 1/2 pound
cost of nuts purchased = 3.99 cents
Cost of nuts and apples purchased = 5.86 cents
Learn more about unitary method here
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