Jake's pretzel stand sells three times as many pretzels as Lisa's stand. The difference between their sales is 400 pretzels. How manypretzels did Jake sell?

Answer:

72.25

Step-by-step explanation:

17% of 425

=17\100 ×425

=7225/100

=72.25

Answer:

72.25

Step-by-step explanation:

Lets say you are trying to find p percent (p%) of a number n. To do this, you would divide the percent (p) by 100 and multiply it by the number (n). In other words:

\(n*\frac{p}{100}\)

We can use this to find 17 percent of 425. 17 would be our percent and 425 would be our number.

\(425*\frac{17}{100}=425*0.17=72.25\)

So 17 percent of 425 would be 72.25.

I hope you find my answer and explanation to be helpful. Happy studying. :)

Answer:

Hindi Nakita AHHHH ahahahaha loading kasi

Answer:

4a

Step-by-step explanation:

The mean is found by adding all of the data set together and then dividing by the amount of individual pieces of data in the set.

(2+3+3+8) = 16

16/4=4

The answer is 4a.

The surface area of the square Pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

The surface area of a square pyramid, we need to calculate the area of each face and then sum them up.

A square pyramid has four triangular faces and one square base. The area of the base is equal to the side length squared, while the area of each triangular face can be found using the formula: (1/2) * base * height.

Given that the side length of the square pyramid is 2 yards and the slant height is also 2 yards, we can calculate the surface area as follows:

Area of the base = (side length)^2 = 2^2 = 4 square yards

Area of each triangular face = (1/2) * base * height = (1/2) * 2 * 2 = 2 square yards

Now, let's calculate the total surface area of the square pyramid:

Total surface area = Area of the base + 4 * Area of each triangular face

Total surface area = 4 + 4 * 2 = 4 + 8 = 12 square yards

Therefore, the surface area of the square pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

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By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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Answer:

Step-by-step explanation:

from the figure and the measurements it is a square, the diagonals are perpendicular and form 4 angles of 90°, so 90° is your answer.

Answer:

DC=12, AD=5, DB=13, 90 degrees

Step-by-step explanation:

Hope this helps!!!

Let me know if you want an explanation!

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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Answer:

so the answer is 1 whole and 3/7 hope this helps :)

Given:

A function f(x) is continuous at a point x=c :

First, let us take the limit:

Plug in the values x = 1.26

Now, let us find R(1,26):

Hence, we can conclude that R(x) is continuous at x = 1.26

The value in the data set varies from 12 by an Average of 4.

The mean of the data set is 12 and the mean absolute deviation is 4.

Option 1: Each value in the data set varies from 12 by exactly 4.

This statement cannot be concluded based on the given information. The mean absolute deviation measures the average distance between each data point and the mean. It does not imply that each value varies by exactly 4 from the mean.

Option 2: Each value in the data set varies from 12 by an average of 4.

This statement is true. The mean absolute deviation of 4 indicates that, on average, each data point deviates from the mean by 4 units. It does not necessarily mean that each value varies by exactly 4, but the average deviation is indeed 4.

Option 3: No values in the data set are less than 8 or greater than 16.

This statement cannot be determined based on the given information. The mean and mean absolute deviation do not provide information about the specific values in the data set. It is possible for some values to be less than 8 or greater than 16 while still maintaining a mean of 12 and a mean absolute deviation of 4.

Option 4: Half of the values in the data set are 8, and half of the values in the data set are 16.

The  value in the data set varies from 12 by an average of 4.

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Answer: It will be A that is the best answers

Answer:

Step-by-step explanation:

apply the indices law

Answer:

f(-5)=5

Step-by-step explanation:

the "-5" is telling us what to plug in for x. So, the new equation would be:

f(-5)= -(-5)^2-7(-5)-5

if we reduce, the expression would be

-25+35-5

our final answer would be 5.

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

Answer:

\(Selling\ price = \$190.65\)

Step-by-step explanation:

Given

\(Price = \$123\)

\(Marked\ up = 55\%\)

Required

The selling price

This is calculated as:

\(Selling\ price = Price + Marked\ up* Price\)

\(Selling\ price = \$123 + 55\% * \$123\)

\(Selling\ price = \$123 + \$67.65\)

\(Selling\ price = \$190.65\)

Answer:

$66.00

Step-by-step explanation:

We are asked to find the amount of markup on Regina's quilt. The amount of markup is given by

markup rate×original price=amount of markup.

The markup rate is in decimal form.

Since the original price was $120, and the markup rate is 55%=0.55, we have

0.55×120=66.

Thus, the amount of markup on Regina's quilt was $66.00.

The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

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Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.

An equation is an expression that shows the relationship between two or more numbers and variables.

The pool where Asha swims is rectangular. It is 2500 cm long, 1250 cm wide and 150 cm deep.

Hence:

Volume of the pool = 2500 * 1250 * 150 = 4.6875 * 10⁸ cm³

The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.

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Matrices are a type of data structure that can be used to represent and manipulate data in a variety of ways.

One way to use matrices to represent data is to store the data in the form of a matrix. For example, a matrix could be used to represent a table of values, where each row represents a different data point and each column represents a different attribute or feature of the data.

Matrices can also be used to manipulate data by performing mathematical operations on the matrix elements. For example, matrices can be added, subtracted, and multiplied to perform operations such as matrix addition, matrix subtraction, and matrix multiplication. These operations can be used to perform various types of data manipulation, such as combining data from different sources, transforming data, or calculating statistics.

In addition to performing mathematical operations, matrices can also be used to store and manipulate data in other ways. For example, matrices can be used to represent and manipulate images and other types of data that have a two-dimensional structure. Matrices can also be used to represent and manipulate data in higher dimensions, such as data with a three-dimensional structure.

Overall, matrices are a powerful tool for representing and manipulating data in a variety of contexts, and they are widely used in a range of fields including mathematics, computer science, engineering, and data analysis.

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Matrices are a type of data structure that can be used in a variety of ways to represent and manipulate data.

One method for utilizing grids to address information is to store the information as a framework. A table of values, for instance, could be represented by a matrix, with each row representing a distinct data point and each column representing a distinct attribute or feature of the data.

The plural form of a matrix, a rectangular array or table in which numbers or elements are arranged in rows and columns, is referred to as a matrices. They can have as many columns and rows as you want. Matrix operations include addition, scalar multiplication, multiplication, transposition, and others.

When performing these matrix operations, certain rules must be followed. For example, they can only be multiplied if the first and second columns are exactly the same, and they can only be added or subtracted if they have the same number of rows and columns.

Matrices can also be used to manipulate data by performing mathematical operations on the matrix elements. For example, matrices can be added, subtracted, and multiplied to perform operations such as matrix addition, matrix subtraction, and matrix multiplication. These operations can be used to perform various types of data manipulation, such as combining data from different sources, transforming data, or calculating statistics.

In addition to performing mathematical operations, matrices can also be used to store and manipulate data in other ways. For example, matrices can be used to represent and manipulate images and other types of data that have a two-dimensional structure. Matrices can also be used to represent and manipulate data in higher dimensions, such as data with a three-dimensional structure.

In general, matrices are extensively utilized in a variety of fields, including mathematics, computer science, engineering, and data analysis. They are a powerful tool for representing and manipulating data in a variety of contexts.

Hence the matrices be used to represent and manipulate data.

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Answer:

There is no picture or graph, if you put a graph or picture ill be able to answer it.

Step-by-step explanation:

Hello!

x² - 5x + 6

= (x² - 2x) + (-3x + 6)

= x(x - 2) - 3(x - 2)

= (x - 2)(x - 3)

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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The method of proof required to prove the statements are are as follows:(a) proof by contradiction. (b)  proof by construction. and (c) proof by contrapositive.

a) To prove the statement "there are no integers x and y such that x is a prime greater than 5 and x 6y 3", we can use proof by contradiction.

The proof starts by assuming that there exist integers x and y such that x is a prime greater than 5 and x 6y 3. We then show that this assumption leads to a contradiction, i.e., a statement that cannot be true.

Suppose that x is a prime greater than 5 and x 6y 3 for some integers x and y. Then, we can write x as x = 6y + 3 = 3(2y + 1). This means that x is divisible by 3 and hence cannot be a prime greater than 5, contradicting our initial assumption. Therefore, our assumption that there exist integers x and y such that x is a prime greater than 5 and x 6y 3 is false, and the statement is proven.

b) To prove the statement "for all integers n, if n is a multiple of 3, then n can be written as the sum of consecutive integers", we can use proof by construction.

The proof starts by taking an arbitrary integer n that is a multiple of 3. We then construct a sequence of consecutive integers whose sum is equal to n.

Let k = n/3 be an integer. Then, we can write n as n = 3k. We can now construct a sequence of consecutive integers starting from k - (k-1) = 1 and ending at k + (k-1), such that their sum is n. For example, if k = 4, then the sequence is 1, 2, 3, 4, 5, 6, 7, and their sum is 3k = 12 = 1+2+3+4+5-6-7. Since we can construct such a sequence for any integer n that is a multiple of 3, the statement is proven.

c) To prove the statement "for all integers a and b, if a 2 b 2 is odd, then a or b is odd", we can use proof by contrapositive.

The contrapositive of the statement is: "if both a and b are even, then a 2 b 2 is even". To prove this, we can use the properties of even numbers, which can be written in the form 2k for some integer k.

Suppose that both a and b are even. Then, we can write a = 2m and b = 2n for some integers m and n. Substituting these values into the expression a 2 b 2, we get:

a 2 b 2 = (2m)2 (2n)2 = 4m2n2 = 2(2m2n2).

Since 2m2n2 is an integer, we have shown that a 2 b 2 is even. Therefore, the contrapositive statement is true.

Since the contrapositive statement is true, the original statement "for all integers a and b, if a 2 b 2 is odd, then a or b is odd" must also be true, because it is the logical equivalent of the contrapositive.  

Therefore, the mentioned statements are proved with the methods of contradiction, construction, and contrapositive.

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Priya is referring to a special right triangle, specifically an equilateral triangle that has been cut in half.

In this triangle, all three angles are equal to 60 degrees, and each side has the same length.

Therefore, if the hypotenuse (which is also the longest side) of the right triangle is 1 cm, then each of the other two sides has a length of 1/2 cm. The leg adjacent to the 30-degree angle is the shorter of these two sides, and its length can be found using the trigonometric function cosine, which relates the adjacent side to the hypotenuse.

In this case, cos(30 degrees) = adjacent/hypotenuse, which simplifies to sqrt(3)/2 = adjacent/1, or adjacent = sqrt(3)/2 cm ≈ 0.866 cm.

The side opposite the 30-degree angle is the longer of the two shorter sides, and its length can be found using the trigonometric function sine, which relates the opposite side to the hypotenuse.

In this case, sin(30 degrees) = opposite/hypotenuse, which simplifies to 1/2 = opposite/1, or opposite = 1/2 cm = 0.5 cm.

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Answer:

0 and 0

Step-by-step explanation:

it stays the same 7 to 17 is 7

14 to 21 is 7 etc...

The amplitude of the function is 48 units.

The period of the function is 28 units.

The graph has a vertical shift of 48 unit.

To determine the amplitude and period of the cosine function that describes the relationship between the day (d) and the illuminated percentage of the moon (%), we can analyze the given data:

d     %

0   48

14   96

21  48

28   0

Amplitude:

The amplitude of a cosine function represents half the difference between the maximum and minimum values of the function.

So, (96 - 0) / 2

= 48 units.

Period:

The period of a cosine function is the length of one complete cycle.

Therefore, the period of the function is 28 units.

Vertical shift:

The vertical shift represents the displacement of the graph vertically.

The graph has a vertical shift of 48 unit.

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The proportional relationship y = 10x is a good fit for the data.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, for each value of x, the output is 10 times that, hence the constant is k = 10 and the proportional relationship y = 10x is a good fit for the data.

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