Larji bought a dozen ears of corn. She prefers yellow corn, which costs 40 cents an ear, and her siblings prefer the peaches and cream variety, which costs 50 cents an ear. She buys a mixture of each type and pays $5.70. Which system of equations represents the number of ears of corn of each type that Larji purchased? X + y = 12. 0.40 x + 0.50 y = 5.70. X + y = 12. X + 0.50 y = 5.70. X + y = 5.70. 0.40 x + 0.50 y = 12. X + y = 5.70. 0.40 x + y = 12.

Answer: A. (x,y)→(−y,x)

Step-by-step explanation:

For rotating a point about the origin at 90° in the counterclockwise direction, the x and y coordinate values are interchanged with the interchanged y value also given a negative sign.

For clarity :

Given the coordinate (2, 5)

Rotating (2, 5) about the origin at an angle of 90° in the counterclockwise direction:

(x, y) - - - - - - - - - - > (-y, x)

(2, 5) - - - - - - - - - - - > (-5, 2)

Answer:

6.25%

Step-by-step explanation:

percentage of red = ( no. of red markers / total no. of markers) *100

                              = 28 *100 / 448

                               = 6.25%

Answer:

distribuative property of addition

Step-by-step explanation:

Answer:

I'm going to say expanded form

Step-by-step explanation:

Answer:

Harriet is 16 years of age

Step-by-step explanation:

(x-5)+x=37

2x=42

x=21

21-5=Harriet's Age

1. The convolution of x(t) = u(t-1) with h(t) = \(e^{-t} u(t)\) yields y(t) = \((1 - e^{1-t)}u(t-1)\). 2. The convolution of x(t) =\(e^{-at} u(t)\) with h(t) = \(e^{-bt}\) u(t) results in y(t) = \((1/(a-b))(e^{-bt} - e^{-at}) u(t)\).

3. The convolution of x[n] = \((1/2)^n\) u[n] with h[n] = u[n] - u[n-4] gives y[n] = \((1/2)^n - (1/2)^{n-4}u[n-4]\).

1. To evaluate the convolution of x(t) = u(t-1) with h(t) = \(e^{-t}\) u(t), we integrate the product of x(t) and h(t). This results in y(t) = (1 - e^(1-t))u(t-1), where the unit step function u(t) ensures that the output is zero for negative values of t.

2. For the convolution of x(t) = \(e^{-ut}\) u(t) with h(t) = \(e^{-bt}\) u(t), we integrate the product of the two functions. The resulting convolution is given by y(t) = (1/(a-b))(\(e^{-bt}\)) - \(e^{-at}\)) u(t), where a and b are constants representing the decay rates of the exponentials.

3. To find the convolution of x[n] = \((1/2)^n\) u[n] with h[n] = u[n] - u[n-4], we compute the sum of the products of x[n] and h[n] for each value of n. This yields y[n] =\((1/2)^n - (1/2)^{n-4}u[n-4]\), where u[n] is the discrete unit step function. The convolution result has two terms: the first term is the geometric series\((1/2)^n\), and the second term is the delayed and scaled unit step function \((1/2)^{n-4}u[n-4]\).

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Answer:

7 is the correct answer

Answer: no yes

Step-by-step explanation:

Answer:Yes, there is (ASA)

Step-by-step explanation:

Here, we have a side common to the two triangles. That makes S

Also, we can see an angle on both triangles, that makes A

Lastly, there is a right angle on both triangle

That makes another A

So we have the ASA to prove the congruence of the two triangles

There is no attribute name for this line of XML.

The given line of XML `5` is not a valid XML element, as it does not have a tag name and does not follow the basic syntax rules for an XML element. An attribute in XML is a name-value pair that is associated with an XML element, and is specified within the opening tag of the element using the syntax `name="value"`.

For example, the following is a valid XML element with an attribute named "dist" and a value of "10":

```
<distance dist="10"/>
```

In this case, the attribute name is "dist".

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Answer:

-4686 it would be a negative whole number

Step-by-step explanation:

-2343 - 2343 would be -4686

if it was -2343 - -2343 the answer would be 0

Answer:

x= 6

Step-by-step explanation:

First, these angles are alternate interior angles.

Next, set each angle equal to each other.

9x+1= 10x-5

Next, solver for x.

Step 1- Subtract 9x to both sides.

9x+1= 10x-5

-9x     -9x

Step 2- Add 5 to both sides.

 1= 1x-5

+5       +5

Step 3- Divide both sides by 10.

6= 1x

6    6

x= 6

Answer:

interior angles

10x-5=9x+1

x=6

Step-by-step explanation:

first move the 9x to the left hand side then chnage its sign

10x-5=9x+1

10x-9x-5=1

then move -5 to the right side

10x-9x=5+1

the finally combine like terms

10x-9x= 1x (or just x)

5+1= 6

x=6

In a chi-square test for independence, the null hypothesis is that the two variables are independent in the population.

The null hypothesis states that there is no association or relationship between the two variables being tested. This means that any observed relationship in the sample data is due to chance and not a true relationship in the population. the null hypothesis assumes that there is no difference in the distribution of the variables across the categories or levels being compared.

To test this hypothesis, we calculate the chi-square statistic, which measures the difference between the observed and expected frequencies. If the calculated chi-square value is large enough to reject the null hypothesis, we conclude that there is evidence of a relationship between the variables. In summary, the null hypothesis in a chi-square test for independence is that the two variables being tested are independent in the population. This implies that there is no relationship or association between them.

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Answer:

Step-by-step explanation:

The 2 lines are y=2x+12 (slope of 2 y-intercept at 12) and y=26 (line at y=26).

intersection= (7,26)

Given:

Time taken by Amanda to fill the tank is 50 minutes.

The capacit of tank is 5 kiloliters.

Explanation:

The rate of pumping is determine by divide the capacity by time taken to fill it.

Determine the pumping rate to fill Amanda's milk tank.

Answer: 0.1 kL/min

Answer:

Width = 10 in

Length = 50 in

Step-by-step explanation:

Define the variables

Given the perimeter is 120 in:

\(\begin{aligned}\textsf{Perimeter of a rectangle} & = 2(\sf width + length)\\120 & = 2(x + 5x)\\120 & = 2(6x)\\120 & = 12x\\\dfrac{12x}{12}&=\dfrac{120}{12}\\\implies x&=10\end{aligned}\)

Solution:

Answer:

Step-by-step explanation:

One solution if they intersect (which is the case), and zero if they are parallel and apart, and infinite if they are parallel and coincident, two lines piled on top of each other.

Answer:

-3

Step-by-step explanation:

since it is a gap of 6 the first one gave ...so 3-6=-3

Answer:

Step-by-step explanation:

Given that:

Keiko sold 3 less than three-fourths of his sister's sale.

To find:

Expression that represents what Keiko sold ?

\(1.\ \dfrac{3}{4} x - 3 \\2.\ \dfrac{3}{4} x + 3 \\ 3.\ 3 x + \dfrac{3}{4} \\4.\ 3x - \dfrac{3}{4}\)

Solution:

First of all, let the sales done by Keiko's sister = \(x\)

Now, let us consider the Keiko's sale word by word.

3 less than three-fourths of his sister's sale.

i.e. subtract 3 from the expression obtained in 1st line.

\(\dfrac{3}{4}x-3\)

So, sales done by Keiko = \(\dfrac{3}{4}x-3\)

So, correct answer is:

\(1.\ \dfrac{3}{4}x-3\)

\(\frac{3}{4}x-3\)

An algebraic expression is one that is obtained by performing a finite number of algebraic operations on symbols that represent numbers.

Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, is a basic algebraic operation.

Let \(x\) denotes sale of sister of Keiko.

As Keiko sold \(3\) less than three-fourths of his sister's sales,

Sales of Keiko \(=\frac{3}{4}x-3\)

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The equation that describes a line passing through (4, -1) and perpendicular to y = 2x - 4 is y = 2x +6, y = 2x +6. The correct option is D.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

Perpendicular lines have the same negative reciprocal slope as the line they are perpendicular to, which is important information to know.

This indicates that you may calculate the slope of the perpendicular line by taking the slope of the first line, adding a negative sign, and switching the numerator and denominator.

Therefore, the correct option is D. y = 2x +6, y = 2x +6.

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The given matrix is a 2x2 matrix with the elements 4, 19, -88, and -84. Transposing this matrix results in a 2x2 matrix with elements 4, -88, 19, and -84.

The given matrix, C, is defined as:

C = \(\left[\begin{array}{cc}4&19\\-88&-84\end{array}\right]\)

To transpose this matrix, we interchange its rows with columns, resulting in the matrix:

C^T = \(\left[\begin{array}{ccc}4&-88\\19&-84\end{array}\right]\)

The transposed matrix, C^T, has the elements 4, -88, 19, and -84. These are obtained by swapping the elements along the main diagonal. In other words, the element in the first row and first column remains the same, the element in the second row and first column becomes the element in the first row and second column, the element in the first row and second column becomes the element in the second row and first column, and the element in the second row and second column remains the same.

In the second paragraph, it is mentioned to find 10 points, but it is not clear what these points refer to in the given context. If you provide more information or clarify the question, I will be able to assist you further.

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Answer:

It will take 20 minutes to finish the whole pizza, and in half an hour he will be able to finish 18 slices

Answer:

William can eat 18 slices of pizza in half of an hour.

William can eat a whole box of pizza in 20 minutes.

Step-by-step explanation:

30 minutes in half of an hour, 30/5 is 6.

3 slices in 5 mins

3 times 6 is 18.

----------------------------------

3 slices --->   12 slices

              x4

5 mins--->   20 mins

           x4

Answer:

B

Step-by-step explanation:

26% is close to 25%, which is equal to 1/4th.

You're adding to the number and removing from the percentage so it balances it out.

The estimation of 26% of 91 is  1/4 x 92.

The correct option is (B).

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

26% of 91

Now solving the above Quantity

= 26 /100 x 91

Now, We take 1 from 26 make it 25 and add that 1 to 91 make 92.

Then, 25 / 100 x 92

= 1/4 x 92

Hence, the estimation is 1/4 x 952.

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Answer:

The length of diagonal TU is 102 units

Step-by-step explanation:

Mathematically, the diagonals of a parallelogram bisect each other

This means that the lengths on either of the either of the sides are equal

Mathematically, we have it that;

7x + 2 = 6x + 9

7x - 6x = 9-2

x = 7

The diagonal TU has the measure of ;

(7x + 2) + (6x + 9)

7x + 6x + 2 + 9

= 13x + 11

substituting the value of x, we have

13(7) + 11

= 102

The total number possible house numbers  is  2 × 28  =  56

From the question, we have the following information available is:

Dr. Math's four-digit house number ABCD contains no zeroes and can be split into two different two-digit primes AB and CD where the digits A, B, C and D are not necessarily distinct.

And, each of the two digit primes number is less than 40

We have to find the number of possible houses.

Now, According to the question:

We have to take out the primes number in between 1 to 40.

So, The prime numbers in between 1 to 40 are:

The two digit primes < 40 are

11, 13, 17, 19, 23, 29, 31, 37

Any two of these eight can be selected  =  C(8,2)  = 28

And each of these can be arranged in two ways

Hence, the total number possible house  numbers  is  2 × 28  =  56

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Answer:

The first multiple of 7 = 14 or -21

The second multiple of 7 = 21 and -14

Step-by-step explanation:

Let

The first multiple of 7 = 7x

The second multiple of 7 = 7(x+1)

Square of the first multiple = (7x)^2

Square of second multiple = {7(x+1)}^2

Sum

(7x)^2 + 7(x+1)}^2 = 637

49x^2 + 49(x+1)^2 = 637

Divide through by 49

x^2 + (x+1) = 13

Open bracket

x^2 + x^2 + 1 + 2x = 13

Subtract 13 from both sides

x^2 + x^2 + 1 + 2x - 13 = 13 - 13

x^2 + x^2 + 1 + 2x - 13 = 0

2x^2 + 2x - 12 = 0

Divide through by 2

x^2 + x - 6 = 0

Solve the quadratic equation using factorization method

x^2 + 3x - 2x - 6 = 0

x(x+3) - 2(x+3) = 0

(x - 2) (x+3) = 0

x - 2 = 0

x = 2

x+3 = 0

x = -3

Substitute x = 2 or -3 into 7x

When x= 2

7(2) = 14

When x = -3

7(-3) = -21

The first multiple of 7 = 14 or -21

Substitute x = 2 or -3 into 7(x+1)

When x= 2

7(2+1) = 7(3) = 21

When x = -3

7(-3+1) = 7(-2) = -14

The second multiple of 7 = 21 and -14

Answer:

Not a function

Step-by-step explanation:

For an equation to be a function, there should be only one y-coordinate per x-coordinate. Since this relation has both (-1,9) and (-1,4), this is not a function.

Answer:not a function

Step-by-step explanation:

because when you put the points on the coordinate plane your shape will come out as a v shaped object. In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers

Answer:

15

Step-by-step explanation:

1 package = 3 erasers

Therefore, 5 packages = 5 x 3 = 15 erasers

According to the design, both the PokerHand and BlackjackHand classes may, but are not required to override the methods of the parent Hand class. The Hand class provides the basic functionality for a player's hand of cards, such as adding cards to the hand, calculating the total value of the hand, and displaying the cards in the hand.

However, since Poker and Blackjack have their own unique rules and gameplay mechanics, the PokerHand and BlackjackHand classes may need to override certain methods to tailor them to their specific game.

For example, in Blackjack, the value of an Ace card can be either 1 or 11 depending on the situation, so the BlackjackHand class may need to override the calculateTotalValue method to take this into account.

Additionally, both the PokerHand and BlackjackHand classes may choose to override the toString method to display the hand in a way that makes sense for their respective game. For instance, in Poker, players often refer to their hand by its ranking, such as "two pair" or "flush", so the PokerHand class may choose to display the hand in this way.

Overall, while the Hand class provides a foundation for both PokerHand and BlackjackHand, allowing them to inherit common functionality, the ability to override certain methods allows them to adapt to the specific rules and requirements of their respective games.

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The probability that their average score is between 200 and 250 is 42.49%.

The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a given data point deviates from the mean. In essence, standard deviation represents the degree

Given:

Mean = 240

and standard deviation = 27

So, P( 200 < x < 250) =  P( (x- \(\mu\))/ \(\sigma\) < x <  x- \(\mu\))/ \(\sigma\))

                                    = P (200- 240 / 27  < x < 250- 240 /27)

                                    = P( -1.481 < x < 0.370)

                                    = 0.42499

Hence, the probability that their average score is between 200 and 250 is 42.49%.

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Answer:

A

Step-by-step explanation:

cuz all the other options sum up to 180 except A it sum up to 181

and the sum of angle in triangle is equal to 180°

Answer:a

Step-by-step explanation: