1. At Store A, the price for pineapples is $5.00 for 2 pineapples.
2. At Store B, the price for pineapples is $8.00 for 4 pineapples.

Which store is offering the lower price per pineapple? Show your work or explain your answer.

Answer:

12 cm ×5cm

Step-by-step explanation:

To find the dimensions of the airplane ticket, let's assume that the airplane ticket is a rectangle.

Area of rectangle= length ×width

Perimeter of rectangle= 2(length +width)

Let the length and width of the plane ticket be L and W cm respectively.

From the area of the ticket,

LW= 60 -----(1)

From the perimeter of the ticket,

2(L +W)= 34

Divide both sides by 2:

L +W= 17 -----(2)

Let's solve the equations by substitution.

From (2):

L= 17 -W -----(3)

Substitute (3) into (1):

(17 -W)(W)= 60

17W -W²= 60

W² -17W +60= 0

Factorise:

(W -5)(W -12)= 0

W -5= 0 or W -12= 0

W= 5 or W= 12

Substitute into (3):

L= 17 -5 or L= 17 -12

L= 12 or L= 5

Thus, the dimensions of the ticket is 12 cm ×5 cm.

The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.

To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.

For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.

If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.

However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.

To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.

If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.

the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.

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Note the full question may be :

To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.

6th term in the sequence is 1024

Answer:

1024

Step-by-step explanation:

I hope this helps!

Answer:

120

Step-by-step explanation:

The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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The probability is approximately 0.1667 or 16.67%.

The number of executives who satisfy both requirements must be determined, and that number must be divided by the total number of executives.

We can see from the information provided that there are five CEOs who are under the age of 55 and have held prior positions in finance.

There are 30 executives in all.

The likelihood that the executive is under 55 years old and that their previous employment was in finance is as follows:

Probability = Number of executives under 55 years with previous position in finance / Total number of executives:

Probability = 5 / 30 = 1/6 ≈ 0.1667

Therefore, the probability is approximately 0.1667 or 16.67%.

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By using the substitution method, we will see that the value of y is 23.

Here we have a system of linear equations, the system is:

y - x = 11

x = 12

The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:

y - 12 = 11

Now we can solve this for y, we will get:

y = 11 + 12

y = 23

That is the value of y.

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The inequality that represents the number of trees (t) that need to be planted for the tree planter to earn at least $200 is,

⇒ $100 + 4t ≥ 200

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

A tree planter gets paid $100 per day plus $4 for each tree that is planted.

And, The tree planter wants to make at least $200 dollars on a given day.

Hence, We get;

The inequality that represents the number of trees (t) that need to be planted for the tree planter to earn at least $200 is,

⇒ $100 + $4t ≥ $200

⇒ 100 + 4t ≥ 200

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Thus, the value of x for the given expression containing the mixed fractions is found as: x = 8/11.

A mixed number is a representation of both a whole number and a legal fraction. In most cases, it denotes a number that falls in between two whole numbers.

Multiply the whole integer by the denominator, then add the numerator to create an incorrect fraction out of a mixed number. The response here becomes the new numerator, while the denominator stays the same.

Given expression:

(x- 4 8/11) + 1 9/11 = 7 3/11

Solving all the mixed fractions in proper fractions:

4 8/11 = (4*11 + 8) / 11 = (44 + 8) /11 = 52/11

1 9/11 = (1*11 + 9) /11 = (11 + 9)/ 11 = 20/11

7 3/11 = (7*11 + 3) /11 = (77 + 3)/11 = 80/ 11

Put the obtained results in expression:

(x- 52/11) + 20/11 = 80/11

x - 52/11 = 80/11 - 20/11

x - 52/11 = (80 - 20)/11

x - 52/11 = 60/11

x = 60/11 - 52/11  

x = (60 -  52) / 11

x = 8/ 11

Thus, the value of x for the given expression containing the mixed fractions is found as: x = 8/11.

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Answer:

Lower class Limit: 20,25,30,35,40,45,50

Upper class limit: 24,29,34,39,44,49,54

Class width: 4

Class Midpoints : 22,27,32,37,42,47,52

Class Boundries : 19.5,24.5,29.5,34,5,39.5,44.5,49.5,54.5

Total Individuals: 93

Step-by-step explanation:

Lower class limit is the lowest value of a class e.g in the first class, the lowest value is 20. Similarly find lower class limit of othere classes.

Upper class limit is the highest value of a class e.g in the first class, the highest value is 24. Similarly find upper class limit of othere classes.

Class width is the difference between highest and lowest value of a class e.g 24-20=4

Class Midpoints can be found by adding lowest and highest value of a class and dividing it by 2 e.g (20+24)/2 = 22

Class boundaries are the halfway point which seperates the classes e.g for first classes, clasee boundry is (19.5,24.5)

Total individuals are founf by adding all the frequencies.

Given:

The base area of a right circular cone is \(\dfrac{1}{4}\) of its total surface area.

To find:

The ratio of the radius  to the slant height.

Solution:

We know that,

Area of base of a right circular cone = \(\pi r^2\)

Total surface area of a right circular cone = \(\pi rl+\pi r^2\)

where, r is radius and l is slant height.

According to the question,

\(\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)\)

Multiply both sides by.

\(4\pi r^2=\pi rl+\pi r^2\)

\(4\pi r^2-\pi r^2=\pi rl\)

\(3\pi r^2=\pi rl\)

Cancel out the common factors from both sides.

\(3r=l\)

Now, ratio of the radius  to the slant height is

\(\dfrac{r}{l}=\dfrac{r}{3r}\)

\(\dfrac{r}{l}=\dfrac{1}{3}\)

Therefore, the ratio of the radius  to the slant height is 1:3.

The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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Answer:

-2 is your answer i hope this helps

Answer/Explanation:

Part I: To write an equation for the profit function p(n), we need to subtract the cost function c(n) from the revenue function r(n). This gives us:

p(n) = r(n) - c(n)

p(n) = 65n - (4n + 5500)

p(n) = 61n - 5500

This is the equation for the profit function p(n).

Part II: To find the profit for the concert promoter if he sells 850 tickets, we need to plug in n = 850 into the profit function p(n). This gives us:

p(850) = 61(850) - 5500

p(850) = 51850 - 5500

p(850) = 46350

This means that the concert promoter will make $46,350 in profit if he sells 850 tickets. This is the amount of money that he will have left after paying for his expenses and receiving his revenue from ticket sales.

This problem will be solved by the hints given in the question.

Part 1:

Here it is: \(r(n) - c(n)\)

which goes to

\(65n - (4n + 5500)\)

simplify:

\(61n - 5500\)

Part 2:

\(61(850) - 5500\)

\(51850 - 5500 = \bold{46350}\)

The profit for the 850 tickets he sold was $46350

Word problems normally consist of mathematical modeling questions, where facts and statistics about a certain gadget is given and a pupil is needed to expand a version. as an example: Jane had $five.00, then spent $2.00. How tons does she have now?

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Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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The Residual is -8.4 hours and the interpretation of the given residual is that the carnation stayed fresh for 8.4 hours less than expected based on how much sugar it received.

A residual plot is a type of scatter plot where the horizontal axis represents the independent variable, or input variable of the data, and the vertical axis represents the residual values.

Now, looking at the given residual plot and using a calculator online, we can say that the equation of the least squares regression line is;

y^ = 180.8 + 15.2x

Now, for 2 tablespoons of sugar , we have x = 2. Thus;

y^ = 180.8 + 15.2(2)

y^ = 212.4 hours

Residual for 204 hours is;

Residual = 204 - 212.4 = -8.4 hours

Thus, the interpretation of the given residual is that the carnation stayed fresh for 8.4 hours less than expected based on how much sugar it received.

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Complete question is;

Does adding sugar to the water in a vase help flowers stay fresh? To find out, two statistics students went to a flower shop and randomly selected 12 carnations. When they got home, the students prepared 12 identical vases with exactly the same amount of water in each vase. They put one tablespoon of sugarin 3 vases, two tablespoons of sugar in 3 vases, and three tablespoons of sugar in 3 vases.In the remaining 3 vases, they put no sugar. After the vases were prepared, the students randomly assigned 1 carnation to each vase and observed how many hours each flower continued to look fresh.

Calculate and interpret the residual for the flower that had 2 tablespoons of sugar and looked fresh for 204 hours.

Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

Answer: \(x = -\frac{b}{2a}\)

Step-by-step explanation:

\(x = -\frac{b}{2a} \\y = -\frac{(b^{2}-4ac)}{4a}\)

Answer:

3

Step-by-step explanation:

\(log(3x^{3}) - log(x^{2}) = log(\frac{3x^{3}}{x^{2}})\\log(27) - log(x) = log(\frac{27}{x} )\\\)

therefore,

\(\frac{3x^{3} }{x^{2} } = \frac{27}{x} \\3x=\frac{27}{x} \\3x^{2} =27\\x= +3\\x=-3\)

however, since logarithms cannot have negative arguments, x can only be +3

i.e. log(-3) is impossible, and will return MATH ERROR on a calculator.

The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

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The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

Answer:

A, B, C

Step-by-step explanation:

It's correct, I took the activity before the quiz and got it right.

Happy to help :3

Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

Answer:

Adam runs at a rate of 11 minutes per mile.

Step-by-step explanation:

Take 143 minutes and divide by 13 miles and you will get the answer of 11 minutes.

PLEASE MARK ME BRAINEIST.

Answer:

it would take him 11 minuets to run a mile

Step-by-step

143 divided by 13 is 11 which means each mile takes 11

you can also check the answer by multiplying 13 times 11 which is 143

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

The correct expanded form using Laws of exponents is:

Two-thirds times two-thirds times two-thirds times two-thirds

Some of the laws of exponents are:

1) When multiplying like bases, keep the base the same and add the exponents.

2) When raising a base with a power to another power, keep the base the same and multiply the exponents.

3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Now, we want to solve the expression given as: (²/₃)⁴

When we expend this, we arrive at:

²/₃ × ²/₃ × ²/₃ × ²/₃

This among the options is Option A which is:

Two-thirds times two-thirds times two-thirds times two-thirds

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Answer:

Exactly 7 Shirts.

Step-by-step explanation:

Janice is already going to pay $24 for a pair of jeans, so we subtract this amount from how much she wants to spend, $80. This gives us $56 remaining. Because each shirt costs $8, we divide 56 by 8, which gives us 7.

We can see that the given equation is also in the standard form of an ellipse. The center of the ellipse is (3, -2) which means that the correct answer is "ellipse with center at (3, -2), solution set bounded".

What is the center of ellipse ?

The given equation is of the form:

(y + 2)²/16 + (x - 3)²/4 < 1

Comparing it with the standard form of the equation of an ellipse:

(x - h)² / a² + (y - k)² / b² < 1

where (h, k) is the center of the ellipse, 'a' is the distance from the center to the vertices along the x-axis, and 'b' is the distance from the center to the vertices along the y-axis.

We can see that the given equation is also in the standard form of an ellipse. The center of the ellipse is (3, -2) which means that the correct answer is "ellipse with center at (3, -2), solution set bounded".

So, the options "ellipse with center at (-2, 3), solution set bounded" and "ellipse with center at (-2, 3), solution set unbounded" are incorrect. The option "ellipse with center at (3, -2), solution set unbounded" is also incorrect since the inequality symbol is "<" and not "<=". Therefore, the correct answer is "ellipse with center at (3, -2), solution set bounded".

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Complete question is:  "ellipse with center at (3, -2), solution set bounded" is describe the graph of (y + 2)²/16 + (x - 3)²/4 < 1.