The area of the square = 4π^2 * (38.5/π) cm^2 (circumference of circle used as side of square).
What is circumference of circle ?
Circumference is the distance around the edge of a circle. It can be calculated using the formula: C = 2πr, where C is the circumference and r is the radius of the circle.
We can use the formula C = 2πr to find the circumference of the original circle, where C is the circumference and r is the radius of the circle.
Given that the wire encloses an area of 38.5 cm square, we can use the formula A = πr^2 to find the radius of the circle.
A = 38.5 cm^2
πr^2 = 38.5 cm^2
r^2 = 38.5/π cm^2
r = (38.5/π)^0.5 cm
Now that we know the radius of the circle, we can find the circumference using the formula:
C = 2πr
Now, we can find the area of the square by squaring the length of one side of the square which is the circumference of the original circle
Area of square = C^2
Therefore, The area of the square = 4π^2 * (38.5/π) cm^2 (circumference of circle used as side of square).
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Given that the wire encloses an area of 38.5 cm square, we can use the formula A = πr^2 to find the radius of the circle.
A = 38.5 cm^2
πr^2 = 38.5 cm^2
r^2 = 38.5/π cm^2
r = (38.5/π)^0.5 cm
C = 2πr
Area of square = C^2
The area of the square = 4π^2 * (38.5/π) cm^2 (circumference of circle used as side of square).
20. Find ∢D for ∢B = 75. AD and CD are tangent to the circle. (show work)
(The figure is not drawn to scale.)
Applying the theorem of angle between intersecting tangents, m<D = 30°.
What is the Theorem of the Angle between Intersecting Tangents?The theorem states that the angle created by the intersection of two tangent lines at a point outside of a circle is equivalent to half the difference between the measures of the arcs that the tangents intercept.
Given the following:
m<B = 75°
Measure of arc AC = 2(75) [inscribed angle theorem]
Arc AC = 150°
Arc ABC = 360 - 150 = 210°
Based on the theorem of angle between intersecting tangents, we have:
m<D = 1/2(210 - 150)
m<D = 30°
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do the table and the equation represent the same function y=110+32(x) yes no
Answer:
Yes
Step-by-step explanation:
y = 110 + 32x
Let x = each value in the table and calculate the corresponding value of y.
You get the following.
x = 0; y = 110
x = 2; y = 174
x = 4; y = 238
x = 6; y = 302
x = 8l y = 366
Since every value from evaluating the function gives the same value as the table, then the answer is yes, the table and the equation represent the same function.
Why is one side and all angles equal the other two sides are not equal?.
It is because the Pythagorean theorem and the Pythagorean identities are based on the properties of right triangles.
What is Pythagorean theorem?
The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. This is the basis for the Pythagorean identities, which relate the sine, cosine, and tangent of an angle to the ratios of the sides of a right triangle.
In a right triangle, one angle is a right angle (90 degrees) and the side opposite the right angle is called the hypotenuse. It is the longest side of the triangle and is always opposite the right angle. The other two sides are called the legs of the triangle, and are referred to as the opposite side and the adjacent side.
The reason that one side is equal to all angles while the other two sides are not, is because the Pythagorean theorem and the Pythagorean identities are based on the properties of right triangles. In a right triangle, the hypotenuse is opposite the right angle and has a unique relationship with the legs, which are the opposite and adjacent sides. This is the foundation of the theorem and identities.
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It is because the Pythagorean theorem and the Pythagorean identities are based on the properties of right triangles.
What is Pythagorean theorem?
The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. This is the basis for the Pythagorean identities, which relate the sine, cosine, and tangent of an angle to the ratios of the sides of a right triangle.
In a right triangle, one angle is a right angle (90 degrees) and the side opposite the right angle is called the hypotenuse. It is the longest side of the triangle and is always opposite the right angle. The other two sides are called the legs of the triangle, and are referred to as the opposite side and the adjacent side.
The reason that one side is equal to all angles while the other two sides are not, is because the Pythagorean theorem and the Pythagorean identities are based on the properties of right triangles. In a right triangle, the hypotenuse is opposite the right angle and has a unique relationship with the legs, which are the opposite and adjacent sides. This is the foundation of the theorem and identities.
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The median of the following list is 12. Find the value of x. 2x. 3x, 5x, 8x
The value of x is 4
Given that the median of the list 2x, 3x, 5x, and 8x is 12, we can arrange the list in order to find the value of x:
2x, 3x, 5x, 8x
To find the median, we need to find the middle value of the list. Since the list has an odd number of values, the median is the middle value.
2x < 3x < 5x < 8x
The median is 3x = 12, so x = 12/3 = 4
Therefore, the value of x is 4.
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What is one more than 5 answer?.
The number more than 5 is 6.
Number:
Numbers are mathematical objects used for counting, measuring, and labeling. The original example is the natural numbers 1, 2, 3, 4, etc. [1] Numbers can be linguistically represented by numerals. More generally, individual numbers can be represented by symbols called digits. For example, "5" is the number representing the number five. Since only a relatively small number of symbols can be remembered, basic numbers are usually organized into number systems, which are systematic ways of representing each number. The most common number system is the Hindu-Arabic number system, which can represent any number using combinations of 10 basic numeral symbols called digits.
Greater than Number:
Greater than or equal to in mathematics is an inequality used to compare two or more numbers, quantities, or values. Used when one quantity or number is greater than or greater than the second or remaining quantity or number. This indicates that one value is greater than or greater than or greater than the other. The above symbol is ">". This is also called greater than. We can also compare the length, weight and capacity of the compared number. For example, Bella has a red pencil that is 5 cm long and a blue pencil that is 3 cm long.
According to the Question:
The number is 1 more than 5
adding 1 to 5
5+1=6
The answer is 1 more than 5 = 6.
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How do you determine the end behavior of a graph based on the function?.
The end behavior of a function describes the trend of graph for x approaches to infinity(Right) and x approaches to negative infinity (Left) .
The end behavior of the graph of polynomial function is behavior of the graph of the function "f(x)" as x approaches positive infinity or negative infinity.
Consider the function , y = x² ;
we know that the graph of this function is a U shaped graph facing in upward direction ;
we see that as "x" approaches negative infinity , "y" tends to positive infinity ;
and as "x" approaches positive infinity , "y" tends to positive infinity .
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A peron buy 5 cup of coffee at a kiok in the mall. The bill i under $20. 0. What i the cot of each cup?
The cost of each cup of coffee at a kiosk is $ 4.
Let the cost of each cup of coffee is $ x.
A person buys 5 cup of coffee at a kiosk in the mall.
This question is related to unitary method problems.
The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
Then, the cost of 5 cup of coffee is 5x.
Given that bill is under $20.
So the cost of 5 cup of coffee will be $20.
5x=20
x=20/5
x=4
Therefore, the cost of each cup of coffee is $4.
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help i need to pass
From 8 apples and 5 peaches, the probability for the first apple then peach fruit is 40/156.
What is probability?
Probability is defined as a number between zero to one for the analysis of random phenomena.
Given that there are 8 apples and 5 peaches in a basket.
Total Fruits = 13
For the first event, the probability of getting an apple is,
p1=8/13
Now, Total Fruits = 12
For the second event, the probability of getting peach is,
p2=5/12
The probability for both events is given below.
p=p1*p2 = (8/13)*(5/12) = 40/156
Hence we can conclude that the probability for the first apple then peach fruit is 40/156.
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In a math cla with 28 tudent, a tet wa given the ame day that an aignment wa due. There were 20 tudent who paed the tet and 19 tudent who completed the aignment. There were 16 tudent who paed the tet and alo completed the aignment. What i the probability that a tudent paed the tet given that they completed the homework?
Anwer:
The probability that a student passed the test given that they completed the homework is 0.8 (or 80%).
To calculate this probability, we can use the formula:
P(A|B) = P(A and B) / P(B)
Where A is the event of passing the test and B is the event of completing the homework.P(A and B) is the probability that a student both passed the test and completed the homework, which is the number of students who did both divided by the total number of students in the class.
16 students passed the test and completed the homework of 28 students in total, so:
P(A and B) = 16/28 = 0.57
P(B) is the probability that a student completed the homework, which is the number of students who completed the homework divided by the total number of students in the class.
19 students completed the homework out of 28 students in total, so:
P(B) = 19/28 = 0.68
Now we can use these values to find the probability that a student passed the test given that they completed the homework:
P(A|B) = P(A and B) / P(B) = 0.57 / 0.68 = 0.8 or 80%
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Correctly written question:
In a math class with 28 students, a test was given on the same day that an assignment was due. 20 students passed the test and 19 students completed the assignment. Out of the students who passed the test, 16 also completed the assignment. What is the probability that a student passed the test given that they completed the homework?
For what value of k for which the roots of the quadratic equation 9x² 3kx +K 0 has real and equal roots?.
The roots of the quadratic equation 9 x 2 - 3 k x + k = 0 are equivalent. As a result, the needed values of k are 0 and 4.
Any equation featuring one condition that involves the unknown is cubed and no term in which it has been increased to a greater number is a quadratic equation.
This has the equation ax2 + bx + c = 0, where a = 9, b = -3k, and c = k.
If D=0, the solution will be implemented and will have real and equivalent roots.
Most typically, the quadratic equation is represented as ax2 + bx + c = 0. The coefficients are the recognized numbers a, b, and c, while x represents the undetermined.
Quadratic equations must be employed whether directly or indirectly in any field where speed, area, or profit must be calculated.
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At a little-known vacation pot, taxi fare are a bargain. A 18-mile taxi ride take 24 minute and cot $7. 20. You want to find the cot of a 49 taxi ride. What unit price do you need?
So, a 49-mile taxi ride would cost $19.60.
To find the cost of a 49-mile taxi ride, you first need to determine the unit price, which is the cost per mile of the taxi ride. To calculate the unit price, you can divide the total cost of the 18-mile ride by the distance traveled. In this case, the total cost of the 18-mile ride is $7.20, and the distance traveled is 18 miles.
$7.20 ÷ 18 miles = $0.40 per mile
This means that the unit price, or the cost per mile, is $0.40. To find the cost of a 49-mile taxi ride, you can then multiply the unit price by the distance of the desired ride.
$0.40 per mile x 49 miles = $19.60
So, a 49-mile taxi ride would cost $19.60.
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$7.20 ÷ 18 miles = $0.40 per mile
This means that the unit price, or the cost per mile, is $0.40. To find the cost of a 49-mile taxi ride, you can then multiply the unit price by the distance of the desired ride.
$0.40 per mile x 49 miles = $19.60
So, a 49-mile taxi ride would cost $19.60.
zhen borrows $1,200.she borrows the money for 2 years and owes $180 in simple interest.what is the yearly simple interest rate on zhen's loan?
r = annual interest rate
F = final value (amount owed including interest)
P = principal (initial amount borrowed)
n = number of years the loan is taken out for
Plugging in the given values:
r = (1300 - 1200) / 1200 * 2
r = 0.15 or 15%
This formula also gives the same result, that the annual simple interest rate on Zhen's loan is 15%.
Is 37 a perfect square?.
The moons of mars, phobos (fear) and deimos (terror), are very close to the planet compared to earth's moon. Their orbital radii are 9,378 km and 23,459 km respectively. What is the ratio of the orbital speed of phobos to that of deimos?.
The ratio of the orbital speed of Phobos to that of Deimos is approximately 0.3078.
The ratio of the orbital speed of Phobos to that of Deimos can be calculated using the following formula:
Speed ratio = (Radius of orbit of Phobos)^(3/2) / (Radius of orbit of Deimos)^(3/2)
Plugging in the given values, we get:
Speed ratio = (9,378 km)^(3/2) / (23,459 km)^(3/2) = (9378^(3/2) / 23459^(3/2))
Which is approximately equal to 0.3078
So the ratio of the orbital speed of Phobos to that of Deimos is approximately 0.3078.
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answer; #13,#14,#15. ((PLEASE HELP ME)). ((due today)).
The domain and range of f(x) = -24 are given as follows:
Domain: all real values.Range: {-24.}The domain and range of f(x) = 0.5(x + 4)² - 11 are given as follows:
Domain: all real values.Range: f(x) >= -11.The range of y = -2x² + 12x - 13 is given as follows:
y <= 5.
How to obtain the domain and the range of a function?The domain of a function is the set that contains all the input values that can be assumed by the function.
As neither of the functions in this problem have any restriction, the domain is all real values for the two of them.
The range of a function is the set that contains all the output values that can be assumed by the function.
The ranges are given as follows:
Constant function: single constant, hence the {}.Quadratic functions: negative infinity to vertex (concave down) and vertex to positive infinity (concave up).More can be learned about the domain and the range of a function at https://brainly.com/question/30248800
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What is the formula for coordinate plane?.
The coordinate plane's formula is (x, y), where x denotes the x-axis and y denotes the y-axis.
A linear equation is a two-variable equation with a line as the graph.
A collection of points in the coordinate plane that are all solutions to the equation make up the graph of the linear equation.
If every variable has a real value, the equation can be graphed by placing enough points on the graph to identify a pattern, then connecting those points to include all of the points.
A linear equation must have at least two points in order to be graphed, however it's usually a good idea to utilize more.
Try to include zero as well as both positive and negative numbers when selecting your points.
The term "x-intercept" refers to the point where the graph crosses the x-axis, and the term "y-intercept" refers to the point where the graph crosses the y-axis.
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What are the 4 parts of division?.
There are four types of division are:
DividendDivisorQuotientRemainderNow, According to the question:
Division is one of the four basic math operations with addition, subtraction, and multiplication. Division is an important operation because it is common in everyday life and helps people understand multiplication better. Division is splitting a group into equal parts. Division is used to split up a class into equal groups for a game or activity or even split a pizza into equal portions between a group of friends.
Dividend: The dividend is the number that is being divided in the division process. Divisor: The number by which the dividend is being divided by is called the divisor. Quotient: The quotient is a result obtained in the division process. Remainder: Sometimes, we cannot divide things exactly.
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Calculate the ratio of the second term to the first term, and express the answer as a decimal value. State the percent increase or decrease.
а. 80, 60
b. 36, 32
c. 63, 100.8
a. Ratio of 60 :80 = 0.75
% decrease = 25%
b . Ratio of 32: 36 = 0.89
% decrease = 11.11%
c. Ratio of 100.8 : 63 = 1.6
% increase = 60%
What is percentage increase and decrease?The degree to which a value increases expressed in percent form is known as percentage increase. Alternatively, percentage decrease is the percentage degree to which the measure of an item decreases.
% increase = increment/ original value × 100
a. two terms 80, 60
the ratio of second to first term = 60/80 = 0.75
percentage decrease = 80-60/80 ×100 = 20/80 ×100 = 25%
b. 36 , 32
the ratio of the second to first = 32/36 = 0.89
% decrease = 36-32/36 ×100 = 4/36 × 100 = 100/9 = 11.11%
c. 63 , 100.8
the ratio of second to first term = 100.8/63 = 1.6
% increase = 100.8-63/63 × 100 = 37.8/63 × 100 = 60%
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Mr. Thornton move hore from one table to another uing a trailer. The trailer can
hold no more than four hore, and it can upport no more than a total of 4500
pound. Mr. Thornton load hi trailer with three hore that weigh 890 pound, 1250 pound,
and 940 pound. He want to load a fourth hore in hi trailer. Uing w to repreent the weight of the fourth hore, write an inequality to expre
how many pound the fourth hore could weigh. Ue a number line to how all the
poible olution in thi real-world ituation. Explain in detail how you determined the poible weight of the fourth hore
If the fourth horse weighs more than 1420 pounds, it cannot be hauled on the trailer.
Inequality
The concept of inequality is used to show how two or more numbers and variables cannot fairly be compared. In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another. Therefore, equity is a result of imbalance.
Let x signify the fourth horse's weight.
From the inquiry:
x + 890 + 1250 + 940 ≤ 4500
x + 3080 ≤ 4500
x ≤ 1420
The fourth horse cannot be transported on the trailer if its weight is greater than 1420 pounds.
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What plane replaced the F-14?.
The Boeing F-14 was superseded by the F/A-18E/F Super Hornet.
The F-14 is what?
The two-seat F-14 Tomcat was used by the US Navy as a shipboard air defense, intercept, strike, and reconnaissance aircraft. The new aircraft was created by Northrop Grumman to replace the F-4 Phantom fighter, and the US Navy started employing it in 1972.
Jan 12, 2023 · In 1987, the F-14B, which featured a superior engine, entered production. The F-14D Super Tomcat was developed as a result of further developments in the radar, avionics, and missile capacity, and it made its first flight in 1988.
The F/A-18E/F Super Hornet took the place of the 338 F-14s in all three versions that were in use by the US Navy.
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Find the area of a rhombus whose diagonals are 9.6cm and 6.0cm long.
Answer:
A = 28.8cm²
Step-by-step explanation:
multiply 9.6 by 6.0
= 57.6
divide 57.6 by 2
= 28.8
Given f(x) =2x+2,find f(-10)
In the number 40.9113, how does the value of the 1 in the hundredths place compare to the value of the 1 in the thousandths place?
Drag and drop a fraction into the box to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The value of the 1 in the hundredths place is Response area the value of the 1 in the thousandths place
Answer:
The 1 in the hundredths place is ten times bigger in value than the 1 in the thousandths place. They are also both behind the decimals.
Step-by-step explanation:
1/100 = 1/1000 x 10
In a class of 40 students the number who studied French is 10 more than the number who studied History if 8 studied both French and History find using a venn diagram the number who Studied [1] History [2] French only
Answer:
11 students studied history
21 students studied French
8 students studied both
Step-by-step explanation:
first you have to subtract the number of students who studied both classes.
40-8=32
this leaves you with 32 students to study either history or French.
we know 10 more students studied French than history so subtract that from the 32 students because we already know where they go.
32-10=22
we're left with 22 students that can be equally split between the 2 classes.
22/2=11
so there are 11 more students in each history and French.
but don't forget to add the 10 more students that we already knew were in the French class.
11+10=21
P = 3x 2+7x + 8, Q= 2x 2+x-9 and R= -5x 2-8x+1, Show that P+Q+R= 0
Addition of P+Q+R= 0 when P = 3x 2+7x + 8, Q= 2x 2+x-9 and R= -5x 2-8x+1 is 0
What is an algebraic expression?An algebraic expression can be defined as an expression that is made up of coefficients, terms, constants, factors, and variables.
These expressions are also known to be composed of certain mathematical operations, such as;
SubtractionFloor divisionAdditionMultiplicationBracketParenthesesDivisionFrom the information given, we have that;
P = 3x 2+7x + 8, Q= 2x 2+x-9 and R= -5x 2-8x+1,
P+Q+ R = 0
substitute the values
3x² + 7x +2x² + x - 9 + (-5x² - 8x + 1) = 0
expand the bracket
3x² + 7x + 8 + 2x² + x - 9 -5x² -8x = 1 = 0
collect like terms
3x² + 2x² - 5x² + 7x + x - 8x -9 + 8 + 1 = 0
Add or subtract like terms
0 + 0 + 0 = 0
0 = 0
Thus, P+Q+ R equals zero
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Are the following triangles congruent? Why or why not? Yes, AAS Yes, SAS Yes, ASA No, there is not enough information
Answer:
Yes SAS they are congurent
Solve the system of linear equations by graphing
y=-x+7
y=x+1
the system of linear equations by graphing - y=-x+7, y=x+1; values for y is (6,6).
What do you mean by linear equations?A linear equation is an equation in which the highest power of the variable is 1. The general form of a linear equation is "ax + b = 0", where "a" and "b" are constants and "x" is the variable. For example, "2x + 3 = 0" is a linear equation. The solution to a linear equation is the value(s) of the variable that make the equation true. Linear equations can be solved using various methods such as algebraic manipulation, substitution and elimination. Linear equations can be represented graphically as a straight line, and the solution of the equation is the point where the line crosses the x-axis (or y-axis if the equation is in terms of y). Linear equations have a wide range of applications in many fields, including physics, engineering, economics, and many others.
To solve the system of linear equations by graphing, we can first graph each equation on the coordinate plane.
y = -x + 7 represents a line with a slope of -1 and y-intercept of (0,7) y = x + 1 represents a line with a slope of 1 and y-intercept of (0,1)
If we graph these two lines, we can see that they intersect at a single point, which represents the solution to the system of equations.
The x-coordinate of the point of intersection can be found by setting y equal to each other and solving for x. x = y
And the y-coordinate of the point of intersection can be found by setting x equal to each other and solving for y. y = x
Therefore the solution of the system is (x,y) = (x,x) = (6,6)
So the solution of the system is (6,6)
We can check this point by substitute x=6 and y=6 in each equation of the system and see if it makes both equations true.
y = -6 +7 = 1 y = 6 + 1 = 7
So the point (6,6) is a solution for the system of equations.
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a texy car draiver ran away frome police but their was a passanger in the car than what should passanger doo
Answer:
he should do nothing because he is just a passenger.
4
Select the correct answer from each drop-down menu.
What are the definition and purpose of a business?
A business provides goods or services in exchange for
hts reserved.
The goal of a business, if it wants to survive over time, is to
Reset
Next
The words that complete the fragment correctly are money, and profit.
How to identify the correct terms to complete the fragment?To identify the correct terms to complete the fragment we have to identify the term that correspond to this definition, in this case is business. So, we have to look for some definitions to get a general idea of the definition.
Also, we can find those terms by inference. For example, is easy to know that the first term is money because we interact every day with this type of economic relation. So, according to the above, the correct terms would be:
A business provides goods or services in exchange for money. The goal of a business, if it wants to survive over time, is to profit.
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Tara i hoting a party. She want to buy ome invitation. She ha £40 to pend in either hop 1 or hop 2. What i the maximum number of invitation he can buy from each hop?
Tara has £40 to spend on invitations for her party. She can spend the money in either shop 1 or shop 2 ,the maximum number of invitations she can buy from each shop is 40 .
The maximum number of invitations she can buy from each shop will depend on the cost of each invitation.
If the invitations at shop 1 cost £1 each, then she can buy a maximum of 40 invitations from this shop. However, if the invitations at shop 2 cost £2 each, then she can buy a maximum of 20 invitations from this shop.
It is important to consider the quality of the invitations. If the invitations at shop 1 are of higher quality than those at shop 2, then it may be worth spending more money on fewer invitations from shop 1. On the other hand, if the quality of the invitations is not important to Tara, then she may be able to purchase more invitations from shop 2.
The maximum number of invitations Tara can buy from each shop will depend on the cost of the invitations and the quality she is looking for. With her £40 budget, the maximum number of invitations she can buy from each shop is 40 from shop 1 and 20 from shop 2.
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