At the store, 60 Brand A diapers costs $24. 94, while 100 diapers of Brand B costs $39. 99. Which is the better buy,

Brand A or Brand B diapers? Round your answer to the nearest cent if necessary.

Converting 6 7/8 to decimal number is 6.875

From the question 6 7/8 is a mixed number, also known as mixed fraction.

It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

6 = whole number

7 = numerator

8 = denominator

In order to convert mixed number 6 7/8 to decimal form, we take the following steps:

Convert the proper fraction to decimal: Divide the numerator by the denominator

7 ÷ 8 = 0.875

Add this decimal number to the whole number of the mixed fraction

6 + 0.875 = 6.875

The mixed number 6 7/8 converted to decimal number is therefore: 6.875

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Answer: −15h−12

Step-by-step explanation:

Answer: 6 books

Step-by-step explanation:

42 divided by 7 equals 6, which is how many books he read each month, considering the books per month are proportional.

Answer: 6 books a month

Step-by-step explanation: If Roberto reads the same amount of books a month, then the answer is simple to achieve.

42 / 7 = 6

42 books divided over 7 months equals 6 books a month.

The graph of the equation is shown in the attached image

An equation of a line is a mathematical representation of the relationship between the variables x and y.

To plot the graph:

Using y =3/4 x + 2

find y when x = 0:

y =3/4 x + 2

y =3/4 (0) + 2

y = 2

This implies x = 0, y = 2

Also, find x when y = 0:

y =3/4 x + 2

0 = 3/4 x + 2

3/4 x = - 2

3x = -8

x = -8/3

This implies x = -8/3, y = 0

Thus, graph x = 0, y = 2 and x = -8/3, y = 0 as shown in the image attached

Therefore, the slope, y-intercept, and x-intercept of the graph are 2, 4 and -2 respectively

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Correct Question

Graph y=3/4 x + 2

A document-term matrix is a data set that has asymmetric discrete or asymmetric continuous features because it represents a collection of documents.

Each document is represented by a row in the matrix. The matrix is populated with numerical values that represent the frequency of each term in each document.

The features in a document-term matrix are asymmetric because the number of terms (columns) in the matrix can be very large, while the number of documents (rows) is typically much smaller.

This results in a sparse matrix, with many cells having a value of zero, which means that the majority of the terms do not appear in most of the documents.

Additionally, the terms in the matrix can be discrete, as they represent specific words or phrases, but the frequency values can be continuous, as they represent the number of occurrences of each term in each document.

In conclusion, a document-term matrix is an example of a data set that has asymmetric discrete or asymmetric continuous features because it represents a collection of documents, where each document is represented by a row in the matrix.

Each column represents a specific term or word, and the number of terms (columns) in the matrix can be very large, while the number of documents (rows) is typically much smaller.

The terms in the matrix can be discrete, as they represent specific words or phrases, but the frequency values can be continuous, as they represent the number of occurrences of each term in each document.

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Answer:

x = 3

Step-by-step explanation:

If B is the midpoint of the line A to C then that means A to B and B to C are equal to one another.

Therefore, to find x you would set the 2 line equations equal to each other:

4x + 2 = 3x + 5

Move the terms around. Start by subtracting the 3x from both sides.

4x - 3x + 2 = 5

Then subtract the 2 from both sides.

4x - 3x = 5 - 2

Then combine like terms.

4x - 3x is x. 5 - 2 is 3.

So that leaves you with:

x = 3

If a horizontal line can intersect the graph of the function only a single time, then the function is mapped as one-to-one.

Now, According to the question:

One to one function basically denotes the mapping of two sets. A function g is one-to-one if every element of the range of g corresponds to exactly one element of the domain of g. One-to-one is also written as 1-1. A function f() is a method, which relates elements/values of one variable to the elements/values of another variable, in such a way that the elements of the first variable identically determine the elements of the second variable.

Hence, If a horizontal line can intersect the graph of the function only a single time, then the function is mapped as one-to-one.

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Each of Newton's container has 7 ounces of applesauce

What does one ounce refer to?

An ounce is a unit of weight that is equal to 437.5 grains or 28.349 grams, or one sixteenth of a pound (avoirdupois).

The weight measure known by the abbreviation "oz" is one-twelfth of a Troy or Apothecaries' pound; one ounce weighs 480 grains or 31.103 grams. grams

Newton makes 72.5/2.5 = 29 ounces of applesauce.

After eating 8 ounces, Newton has 29-8 = 21 ounces of applesauce left.

So each container has 21/3 = 7 ounces of applesauce.

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By applying angle relationships theory, it can be concluded that BCE and CED are Alternate Interior angles.

When a transversal intersects two parallel lines, there will be some angle relationships:

Now we take a look at the picture given and use the angle types above to name the relationship between angles.

As we are asked to determine the relationship between angles BCE and CED, we can take a look at the above explanation.

Thus, the angle relationship describes angles BCE and CED as Alternate Interior angles.

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Answer:

m∠ABC = m∠BED; Corresponding Angles Theorem

Step-by-step explanation:

I took the test on FLVS and got it right

A unique solution occurs in a set of linear simultaneous equations if and only if (a) the number of unknowns and equations are equal, (b) all equations are consistent, and (c) there is no linear dependency between any two or more equations, that is, all equations are independent.

If a pair of linear equations is consistent with a unique solution, then their lines intersect.

The unique solution of a linear equation denotes the existence of just one point at which the L.H.S. and R.H.S. of an equation become equal when substituted. A linear equation with one variable always has a unique solution.

A one-of-a-kind solution is the sole solution. In your case, if (x0,y0) solves your problem, it is said to be unique if the following condition is true: if (x1,y1) solves the equation, it implies x0=x1,y0=y1.

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Answer:

A side of a square is represented by 2.5x-3 and a side of an equilateral triangle is represented by 2x-2.

If the perimeter of the square and the equilateral triangle are the same, then we can set the perimeter of the square equal to the perimeter of the triangle:

4(2.5x-3) = 3(2x-2)

Expanding the equation and combining like terms we get:

10x - 12 = 6x - 6

Subtracting 6x from both sides we get:

4x - 12 = -6

Adding 12 to both sides we get:

4x = 6

Dividing both sides by 4 we get:

x = 3/2

With x = 3/2, we can find the perimeter of the square by plugging it back into the equation for the side of the square:

4(2.5(3/2) - 3) = 4(3.75 - 3) = 4(.75) = 3

And we can find the perimeter of the equilateral triangle by plugging it back into the equation for the side of the triangle:

3(2(3/2) - 2) = 3(3 - 2) = 3(1) = 3

So the perimeter of the square is 3 units and the perimeter of the equilateral triangle is also 3 units.

Step 1 (x+1) (x+2)/(x+5) (x+1) (x+2)/(x+2) (x+2) * Step 2 (x+5/x+2) * ( x+2/x+5) Step 3 (x+5/x+2) ( x+2/x+5z  Step 4 The solution is 1, so there.

The unit technique is a method of problem-solving where you first calculate the value of a single unit, then multiply that value to get the answer. Simply expressed, a single unit value is extracted from a specified multiple using the unit method. For instance, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Mathematical Analysis, Mathematics of Matrix or Operators)

given

The formulas (x2+ 7x+10/x2+ 4x+4) should be factored. (x²+ 3x+2/x²+ 6x+5)

(x2+ 2x+x+ 2/x2+ 5x+x+5) = (x2+ 5x+2x+ 10/x2+ 2x+2x+4)

taking typical

=[x(x+5) +2(x+5)/ x(x+2) +2(x+2) ] x((x+5) +1(x+5)/x((x+2) +1(x+2)

Making commons collaborative

=[(x+2) (x+5)/ (x+2) (x+2)] [ (x+2)(x+1)/ (x+1) (x+5)]

Cancelling

= [ (x+5)/ (x+2)]

* [ (x+2)/ (x+5)]

=[ (x+5)/ (x+2)] [ (x+2)/ (x+5)]

Once more canceling =1

Step 1 (x+1) (x+2)/(x+5) (x+1) (x+2)/(x+2) (x+2) * Step 2 (x+5/x+2) * ( x+2/x+5) Step 3 (x+5/x+2) ( x+2/x+5z  Step 4 The solution is 1, so there.

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Answer: To estimate the height of Big Tex, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the length of the hypotenuse is the height of Big Tex, and the two other sides are the distance from Dami to Big Tex (24 feet) and the height of Dami's eyes above the ground (6 feet).

So, if we call the height of Big Tex "h",

h^2 = 24^2 + 6^2

Solving for h,

h = sqrt(24^2 + 6^2)

h ≈ 45

So Big Tex is about 45 feet tall to the nearest foot.

Step-by-step explanation:

Bethany's error is that she used cosine instead of inverse cosine when finding B.

When solving for B, she used the equation 4.1^2 = 4.5^2 + 2.7^2 - 2(4.5)(2.7)cosB, which is a correct application of the law of cosines. She also correctly isolated the cost and found its value to be 0.1276. However, when she solved for B, instead of using the inverse cosine function, arccos(0.1276), she used the cosine function with the value 0.1276 which resulted in an angle of 82.7 degrees. The correct value of B as per the provided equation should have been arccos(0.1276) which is not equal to 82.7.

Complete question :

4.1^2 = 4.5^2 + 2.7^2 - 2(4.5)(2.7)cosB

4.1 = 4.5 + 2.7 - 24.3cosB

-3.1 = -24.3cosB

0.1276 = cosB

B = 82.7

Where is Bethany's error?

Bethany made one side of the equation equal to the square of the incorrect side when solving for B.

Bethany took the square root of each squared term before isolating cosB and solving for B.

Bethany used cosine instead of inverse cosine when finding B.

Bethany neglected to multiply the expression involving the cosine by 2.

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A system of inequalities to model the situation using x, the number of adult tickets, and y, the number of child tickets is x + y ≤ 200 and 10x + 5y ≥ 750.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides.

Let the number of adult tickets = x

Let the number of child tickets = y

The total number of tickets that can be sold = 200

So, the inequality will be -

x + y ≤ 200

Adult tickets costs $10.00 and child tickets costs $5.00.

The total amount of tickets that can be sold = $750

So, the inequality will be -

10x + 5y ≥ 750

Therefore, the inequality equations are - x + y ≤ 200 and 10x + 5y ≥ 750.

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Elements in set A is 7.

Consider the following example: If set A includes the elements, A = a, b, then the correct subset of the provided subset is, a, and b. The set has two components in this case. The formula for calculating the number of appropriate subsets is 2n – 1.

RECALL: The number of proper subsets of a set with nn elements is 2^n-12

N

−1.

Let n = number of elements of the set.$

Then,Then, 2^n-1 = 127

2^n = 127+1

2^n=128

2^n = 2^7

N=7

$The set has 7 elements.

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According to the given information in the question the element in set A is  7.

Consider the following example: If set A includes the elements, A = a, b, then the correct subset of the provided subset is, a, and b. The set has two components in this case. The formula for calculating the number of appropriate subsets is 2n – 1.

RECALL: The number of proper subsets of a set with nn elements is 2^n-12

N

−1.

Let n = number of elements of the set.$

Then, Then, 2^n-1 = 127

2^n = 127+1

2^n=128

2^n = 2^7

N=7

$The set has 7 elements.

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Step-by-step explanation:

..........................

The non-rigid transformations are translation and reflection

A non-rigid transformation is a type of transformation that modifies an object's shape while maintaining its size. An object's position is altered by translation and reflection, but its size remains unchanged. Reflection is the act of sunlight reflecting off of any outside surface. The light allows us to see things.

Things happen to our eyes when the daylight enters. The cells take an image of it when they have seen it, which is subsequently sent to the retina and the brain. The laws governing the observation of light are uncommon, and the angle of frequency is always equal to the point of observation.

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The parentheses are used to indicate that (x - 1) is a single quantity being multiplied by 13.2.

The result of two numbers being multiplied in any order is unaffected, according to the commutative property of multiplication.

In other words, if a and b are any two numbers, then a * b = b * a.

Using the commutative property, we can write:

13.2 (x - 1) = (x - 1) 13.2

This means that the product of 13.2 and (x - 1) can be computed in either order, and the result will be the same.

The parentheses are used to indicate that (x - 1) is a single quantity being multiplied by 13.2.

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The length of side x in simplest radical form with a rational denominator is root 30.

Result for an image Equilateral triangle is seen below. In the simplest radical form with a rational denominator, determine the length of side x.

and the following is the equation for an equilateral triangle's height: h is equal to a 3 / 2 where an is one of the triangle's sides.

The total of the three sides makes up the perimeter of an equilateral triangle. The fundamental formula for finding an equilateral triangle's perimeter is P = 3a, where "a" stands for one of the triangle's sides. An equilateral triangle has three equal sides, hence the sum is a + a + a = 3a. Height equals 3a/2.

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Elimination is the best method for solving the system of equations. This involves adding or subtracting the equations in order to eliminate a variable term and then solving the resulting equation.

Elimination is the best method for solving the system of equations given. This method involves adding or subtracting the equations to eliminate one of the variable terms. For example, in the given system of equations, 3x+2y=4 and -3x+y=2, the equations can be added together which yields 0x + 3y = 6. From here, the y variable can be solved for by dividing both sides by 3, resulting in y = 2. Then, the x variable can be solved for by substituting the value of y back into either of the original equations. This technique can be used for any system of equations, as long as the coefficients of the variables are of opposite signs. Elimination is a very efficient way of solving systems of equations, as it eliminates the need to solve for one variable before the other. It can be used for linear equations or higher order equations as well.

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In a direct relationship, Y increases when X increases. On a graph, a direct relationship always has a positive slope. Inverse relationship: An inverse relationship means that the variables change in opposite directions: one increases while the other decreases, and vice versa.

Now, According to the question:

Direct relationship:

A direct relationship means that both variables increase together or both decrease together.

In a direct relationship, Y increases when X increases.

On a graph, a direct relationship always has a positive slope.

Inverse relationship:

An inverse relationship means that the variables change in opposite directions: one increases while the other decreases, and vice versa.

In an inverse relationship, Y decreases when X increases.

On a graph, an inverse relationship always has a negative slope.

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The measure of angle ∠8 by using the properties of supplementary, opposite, and corresponding angle will be 72°

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The properties of the angle are as follows:

Given that m∠2 = 2x and m∠3 = 3x.

Angles ∠2 and ∠3 are the supplementary angle. Then we have

∠2 + ∠3 = 180

2x + 3x = 180

5x = 180

x = 36

The measure of angle 2 is given as,

∠2 = 2(36)

∠2 = 72°

Angles ∠2 and ∠4 are opposite angles. Then we have

∠2 = ∠4

∠4 = 72°

Angles ∠8 and ∠4 are corresponding angles. Then we have

∠8 = ∠4

∠8 = 72°

The measure of angle ∠8 by using the properties of supplementary, opposite, and corresponding angles will be 72°

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No a triangle cannot be formed with sides 15, 8 and 7.

No, a triangle cannot be formed with sides of 15, 8, and 7 because the sum of the lengths of the two shorter sides (8 and 7) is less than the length of the longest side (15), which is a violation of the triangle inequality theorem.

Triangle inequality, in Euclidean geometry, theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In essence, the theorem states that the shortest distance between two points is a straight line.

With appropriate norms, the triangle inequality holds for complex numbers, integrals, and other abstract spaces in functional analysis.

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The value that is added on the left-hand side to make the equation equal is -1/100.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows: multiplication, division, addition, and subtraction.

Given [1/-2  - 3/4  of -8/15],

to add a number so the sum equals the product of -7/50 and 11/14

let the number be x

according to the question,

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

taking LHS

[1/-2  - 3/4  of -8/15] = -1/2 - (3(-8)/60)

[1/-2  - 3/4  of -8/15] = -1/2 + 24/60

[1/-2  - 3/4  of -8/15] = (-30 + 24)/60

[1/-2  - 3/4  of -8/15] =-6/60 = -1/10

RHS

-7/50*11/14 = -77/700 = -11/100

substitute the values

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

-1/10 + x = -11/100

x = -11/100 + 1/10

x = (-11 + 10)/100

x = -1/100

Hence -1/100 is added to make the equation equal.

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Answer:

b = 3. (x + 3)(x2 - x ⋅ 3 + 32) = 0 Simplify. Tap for more steps... (x + 3)(x2 - 3x + 9) = 0

hope you like it : )

Answer: 7

Step-by-step explanation:

Multiple all terms by the same value to eliminate fraction denominators.

2.5 = W/2.8

14 * 2.5 = 14 * w/14/5

Cancel multiplied terms that are in the denominator.

14 * 2.5 = 14 * w/14/5

14 * 2.5 = 5w

Multiply the numbers.

14 * 2.5 +5w

35 = 5w

Answer:

a) x=15

b)x=12

Step-by-step explanation:

a) x/5=3

to get x by itself, undo the division and multiply the 5 on both sides

b) x/2=8.5

to get x by itself, undo the division and multiply the 2 on both sides

Answer:

The system of equations "a)x/5=3" and "b)x/2=8.5" has no solution because the two equations contradict each other. Solving the first equation for x gives us "x=15", while solving the second equation for x gives us "x=17". Since x cannot have two different values at the same time, there is no value of x that makes both equations true.

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The range of the inverse function [tex]f^-^1[/tex] is:

The domain of function f is (1,∞) and the range of function f is (−∞,−2). Find the domain and range of the inverse function. The domain of function f−1 is (−∞,−2) and the range of function  [tex]f^-^1[/tex]  is (1,∞).

Now, According to the question:

What is Domain and Range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

Now, According to the statement:

The range of the inverse function [tex]f^-^1[/tex] is:

The domain of function f is (1,∞) and the range of function f is (−∞,−2). Find the domain and range of the inverse function. The domain of function f−1 is (−∞,−2) and the range of function  [tex]f^-^1[/tex]  is (1,∞).

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