The total cost of a pair of jeans and three shirts is $114. The shirts each cost the same amount, and the jeans are $45.

What is the price per shirt?

a.) $69
b.) $23
c.) $53
d.) $159

The probability that the hand contains 4 jacks is solved to be

0.003697

Probability is solved using the formula

= required outcome / possible outcome

The required outcome

= number of ways of picking 4 jacks * number of ways of 10 cards from 48

= ⁴C₄ * ⁴⁸C₁₀

= 1 * 6540715896

= 6540715896

The possible outcome

= number of ways of picking 14 card from possible 52 cards

= ⁵²C₁₄

= 1.768966345 * 10¹²

The probability

= required outcome / possible outcome

=  6540715896 / 1.768966345 * 10¹²

= 11 / 2975

= 0.00369747

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Frederick Taylor's theory is known as "scientific management," which aimed to improve workplace productivity by emphasizing efficiency and standardization.

Here are some pros and cons of his theory:

Pros:

1. Increased productivity and efficiency: Taylor's approach helped companies streamline their processes and make better use of their resources. This led to increased productivity and efficiency, which can lead to greater profits and growth.

2. Improved worker skills: By breaking down work into smaller tasks and optimizing them, Taylor's method allowed workers to learn new skills and become more specialized in their work. This can lead to a sense of mastery and increased job satisfaction.

3. Clear division of labor: Taylor's method led to a clear division of labor, which allowed companies to better organize their workers and maximize their output. This also helped to reduce conflict and confusion in the workplace.

Cons:

1. Dehumanization of workers: Taylor's approach viewed workers as mere cogs in a machine rather than as human beings. This led to a lack of respect and dignity for workers, which can lead to low morale and high turnover rates.

2. Lack of creativity and innovation: Taylor's method emphasized standardization and efficiency over creativity and innovation.

3. Potential for abuse: Taylor's approach can be abused by employers who are more concerned with profit than with worker welfare.

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The expression that represents the correct translation of the phrase is 8x = x + 2

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

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let x represent the unknown number, the product of 8 and a number is equal to the number increased by 2, hence:

8 * x = x + 2

8x = x + 2

The expression that represents the correct translation of the phrase is 8x = x + 2

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We have proved the given argument using the method of Conditional Proof (CP) as part of the whole process.

In the given proof, we have to show that ~P -> ~R is true. We can prove it by using the method of Conditional Proof (CP) as a part of the whole process. Let us begin with the first proof.
Do the 1st proof by using CP with ~P as AP
Assumption: ~P
C: ~R
1: R -> (L & S)        Given
2: (L V M) -> P        Given
3: ~P                  Assumption
4: ~(L V M)            From 3 and 2 by Modus Tollens
5: ~L & ~M             From 4 by De Morgan's Law
6: ~L                  From 5 by Simplification
7: ~S                  From 1 and 6 by Modus Ponens
8: ~(L & S)            From 6 and 7 by Conjunction
9: ~R                  From 1 and 7 by Modus Ponens
10: ~P -> ~R           From 3 to 9 by CP
[44-2.2] Do the 2nd proof by using CP with R as AP
Assumption: R
C: ~P -> ~R
1: R -> (L & S)        Given
2: (L V M) -> P        Given
3: ~P                  To be proved
4: L V M               To be proved
5: L                   Assumption
6: L V M               From 5 by Addition
7: P                   From 6 and 2 by Modus Ponens
8: ~S                  From 1 and 5 by Modus Ponens
9: ~(L & S)            From 8 by De Morgan's Law
10: ~L V ~S            From 9 by De Morgan's Law
11: ~L                 Assumption
12: ~(L & S)           From 11 and 8 by Conjunction
13: ~L V ~S            From 12 by De Morgan's Law
14: ~S                 From 10 and 13 by Disjunctive Syllogism
15: (L & S) & P        From 7 and 5 by Conjunction
16: (L & S)            From 15 by Simplification
17: Contradiction      From 16 and 9
18: ~R                  From 17 by Negation Introduction
19: ~P -> ~R           From 3 to 18 by CP

The given argument needs to be proved using CP, where we have to show that ~P -> ~R is true. The first proof is done with ~P as an assumption, while the second proof is done with R as an assumption. The method of Conditional Proof is a method of proving a statement where we assume the negation of the consequent. The negation of the consequent is added as an assumption, and the premises are used to derive the negation of the antecedent. Once the negation of the antecedent is derived, we can discharge the assumption of the negation of the consequent, thereby proving the statement. In the given argument, we have used the method of CP to prove that ~P -> ~R. In both the proofs, we have used the premises and the assumptions to derive the conclusion. In the first proof, we assumed ~P and used the premises to derive ~R. In the second proof, we assumed R and used the premises to derive ~P -> ~R. Hence, we have proved the given argument using the method of CP.

Therefore, we have proved the given argument using the method of Conditional Proof (CP) as part of the whole process. We used two proofs in the argument, one with ~P as an assumption and the other with R as an assumption. We have shown that ~P -> ~R is true using the given premises and the method of CP.

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well, the hexagonal pyramid is really just six triangles with a base of 24 and a height of 24 as well, and a hexagonal base with an apothem of 12√3 and sides of 24.

\(\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap ~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=12\sqrt{3}\\ p=\stackrel{(24)(6)}{144} \end{cases}\implies A=\cfrac{1}{2}(12\sqrt{3})(144) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{\textit{six triangles}}{6\left[ \cfrac{1}{2}(\underset{b}{24})(\underset{h}{24}) \right]}~~ + ~~\stackrel{\textit{hexagonal base}}{\cfrac{1}{2}(12\sqrt{3})(144)}}\implies 1728+864\sqrt{3} ~~ \approx ~~ \text{\LARGE 3224}~m^2\)

Answer: sorry i have not learnd that yet

Step-by-step explanation:

Answer:I need the answer please

Step-by-step explanation:

Answer:

maybe pemdas or choose c lol

Answer:

21

Step-by-step explanation:

Answer: A. 21%

No equation

You have the following equation:

-5(n - 1) = 7(n + 3)

in order to solve the previous equation, proceed as follow:

-5(n - 1) = 7(n + 3) apply distribution property

-5n + 5 = 7n + 21 subtract 7n and 5 both sides

-5n - 7n = 21 - 5 simplify both sides

-12n = 16 divide by -12 both sides

n = 16/(-12)

n = -4/3

Hence, the solution to the given equation si n = -4/3

In June 2010, the Boston Red Sox's opponents scored an normal of3.26 runs.

The mean, generally appertained to as the computation mean or average, is a statistical measure of central tendency that's calculated by dividing the sum of a collection of figures by the total number of the figures in the set.

Mean = ( Sum of all the compliances Total number of compliances)

The middle number in a sorted list of figures is appertained to as the standard. By arranging the figures, the middle number can be discovered. thrusting order is used to arrange the figures. The middle number in the ordered set of figures is appertained to as the data set's standard.

The fleck plot for the handed data is shown then

0 • •

1 •

2 • • • • • • •

3 • •

4 • • • •

5 • •

6 •

8 •

9 •

11 •

We add up all the values and peak by the total number of values to determine the mean

4 4 9 0 2 4 1 2 11 8 2 2 5 3 2 5 6 4 0 = 62

We divide the total by 19 because there are 19 values

62/ 19 ≈3.26

Hence, the Boston Red Sox's opponents scored an normal of3.26 runs in June 2010 against them.

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The productivity of the painter is 0.66 up to two decimal places. It is attained by applying the knowledge of the division of two numbers and decimals to the provided problem.

What is decimal?

A decimal is a quantity that is distributed into two components, namely a whole and a fraction. A decimal number represents the numerical value lying in between the two integers. A decimal point (.) is used to segregate the fractional part from the whole part of a number.

E.g. 1.5, 0.06, 7.05, etc.

Calculation of the productivity of the painter

Productivity of the painter is obtained by dividing the number of houses painted by the number of days taken to paint them

The number of houses painted is 4

The number of days taken to paint 4 houses is 6 days

Productivity = 4 ÷ 6

                  = 0.666

Thus, the productivity of the painter is 0.66 up to two decimal places.

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The required system of equations is x+y = 21 and 7x +14y = 252.

Systems of equations are sets of equations where the solution is the intersecting point(s) between the equations.There are three methods typically used to solve systems of linear equations: graphing, the substitution method, and the elimination method. These methods can be applied to more complex systems of nonlinear equations as well.

Let the number of small boxes be x.

Let the number of large boxes be y.

The volume of each small box is 7 cubic feet.

The volume of each large box is 14 cubic feet.

The total number of boxes is 21.

Total volume of all boxes is 252 cubic feet.

So, x+y = 21.

This is the first equation.

Also, the total volume is equal to the sum of the volumes of all individual boxes.

So,  7x + 14y = 252

Thus, the required system of equations is x+y = 21 and 7x +14y = 252.

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The required system of equations is x + y = 21 and 7x + 14y = 252 using the concept of equations.

A system of equations in algebra is made up of two or more equations that are solved together to obtain the solution for a two or more variable problem.

Volume of each small box is 7 cubic feet and volume of each large box is 14 cubic feet. Take the number of small boxes to be x and number of large boxes to be y.

Given total number of boxes shipped is 21. Therefore using the concept of equation,

x + y = 21  --- (1)

Total volume of small box is given by:

Total volume of small box = (Volume of a small box) * (Number of small box)

Total volume of small box = 7x

Similarly the total volume of large box is,

Total volume of small box = 14y

Given the total volume of carried box is 252 cubic feet. Using the concept of equations,

7x + 14y = 252  ---(2)

The equations (1) and (2) gives the required system of equations.

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Answer:

It is wrong because she should simplify both sides of the equation,distribute, combine like terms,subtract and divide to get the final answer.

4x−2(3x−4)+4=−x+3(x+1)+1

Step 1: Simplify both sides of the equation.

4x−2(3x−4)+4=−x+3(x+1)+1

4x+(−2)(3x)+(−2)(−4)+4=−x+(3)(x)+(3)(1)+1(Distribute)

4x+−6x+8+4=−x+3x+3+1

(4x+−6x)+(8+4)=(−x+3x)+(3+1)(Combine Like Terms)

−2x+12=2x+4

−2x+12=2x+4

Step 2: Subtract 2x from both sides.

−2x+12−2x=2x+4−2x

−4x+12=4

Step 3: Subtract 12 from both sides.

−4x+12−12=4−12

−4x=−8

Step 4: Divide both sides by -4.

−4x−4=−8−4

x=2

Answer:

x=2

Answer:

it is in order to combine like terms on one side of the equation, the inverse operations must be used

Step-by-step explanation:

trust me I took it on edge

Answer:

a rectangle

Step-by-step explanation:

1. a quadrilateral has 4 sides. this has 4 sides. this is a quadrilateral

2. a parallelogram has (a) opposite sides and (b) opposite angles of equal length. here, all sides are equal so (a) can be checked off. opposite angles are also equal so (b) can be checked off

3. a rhombus has 4 sides of equal length. all 4 sides are of equal length so this is a rhombus

4. a rectangle has 4 right angles. the angles here are not perpendicular to each other. thus, right angles are not formed and this is not a rhombus

The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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Answer:

idont know

Step-by-step explanation:

please make it brainliest

The answer is 1.5(a -3)

Answer:

Fatima paid $649.75

Step-by-step explanation:

Simply multiply 129.95 times 5, since each pallet was $129.95 and they purchased 5.

The line y ≤ 4x will be a solid line and shaded below the graph while the line y < -3x + 7 will be a dashed line and also shaded below the graph.

Inequalities are expressions that are not separated by an equal sign. Given the following system of equations;

y ≤ 4x

y+3x < 7

The inequalities can also be written as;

y ≤ 4x

y < -3x + 7

From the linear inequalities, the slopes of the lines are 4 and -3 respectively. The line y ≤ 4x will be a solid line and shaded below the graph while the line y < -3x + 7 will be a dashed line and also shaded below the graph.

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No, these two events cannot be disjoint. Disjoint events, also known as mutually exclusive events, are events that cannot occur simultaneously.

In other words, if events A and B are disjoint, it means that the occurrence of one event excludes the possibility of the other event occurring.

However, in this case, we are given that P(A) > 0 and P(B) > 0. This means that both events A and B have non-zero probabilities of occurring. Since both events have a positive probability, they cannot be disjoint because there is a possibility of their intersection, where both events occur simultaneously.

Disjoint events would have the property that P(A ∩ B) = 0, indicating that their intersection is an empty set. But given that P(A) > 0 and P(B) > 0, it implies that there is some non-zero probability for the events A and B to occur together, making them not disjoint.

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The price of the cellphone once tax has been loaded is given by the following expression:

15265(1 + r).

In which r is the tax rate, as a decimal.

The final price is obtained applying the proportions in the context of the problem.

With tax, the price is increased by r%, hence the price must be multiplied by (1 + r/100), hence the expression is given as follows:

15265(1 + r).

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Answer: 1/2

Step-by-step explanation:

there are 6 sides all together and 3 of those are multiples of two. this fraction is 3/6 but that can be simplified to 1/2

Answer:

1/2

Step-by-step explanation:

For this we will be assuming a die size of six. With that in mind, all even numbers are divisible by two. There are a total of three numbers on a six sided die, those being two, four, and six. We then put this number over the total possibilities, which would be six. It is good form to simplify, which we can. We take three out from our 3/6 to leave us with 1/2.

The Blu-ray movie will cost approximately $36.42 in 5 years with an inflation rate of 12% and continuous compounding.

To calculate the future cost of the Blu-ray movie in 5 years with an inflation rate of 12% and continuous compounding, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:

A = Future value

P = Present value

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time period in years

In this case, the present value (P) is $19.99, the inflation rate (r) is 12% or 0.12, and the time period (t) is 5 years. Substituting these values into the formula, we get:

A = 19.99 * e^(0.12 * 5)

Calculating the exponent first:

0.12 * 5 = 0.6

Then:

e^0.6 ≈ 1.82212

Finally:

A = 19.99 * 1.82212 ≈ 36.42

Using the formula for continuous compound interest, we calculated that a Blu-ray movie that costs $19.99 today will cost approximately $36.42 in 5 years, assuming an inflation rate of 12% and continuous compounding.

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Therefore, the volume of the cube is: V=a3=123=1728cm3.

1728 cm ^ 3

Solution : we are given side = 12 cm As we know formula of volume of cube = s ^ 3 ( side * side * side ) So = 12 * 12* 12 = 1728 cm ^ 3.

The volume of a cubical box is given by the formula:

V = l^3

where l is the length of one edge of the cube.

In this case, the length of the box is given as 12 cm. Since it is a cube, all three dimensions are equal, so the length, width, and height are all 12 cm.

Thus, the volume of the box is:

V = 12^3

= 1728 cubic centimeters

Therefore, the volume of the box is 1728 cubic centimeters.

Answer: 77 degrees

Step-by-step explanation:

When looking at an arc, you use the inscribed angle theorem, which states that the measure of an inscribed angle is half of the measure of its interpreted arc. So since the measure of the arc is 154 degrees, you divide that by 2 and that will give you the measure of the angle, which is 77 degrees.

Answer:

y=-4x-1

Step-by-step explanation:

y=mx+b

m is the slope

b is the y-intercept

Answer: y = -4x -1

Step-by-step explanation:

Note that the equation for slope-intercept is y = mx + b

m = slope

b = y-intercept

Answer:

B ⊂ A

Step-by-step explanation:

We know that:

A {x|x is a polygon}

So set A is the set of all polygons.

B {x|x is a triangle}

Set B is the set of all triangles.

First, a polygon is a plane geometrical figure made of a finite sequence of straight segments.

For example, a triangle is a polygon, a rectangle is a polygon, etc.

Then, all triangles are polygons, but not all polygons are triangles.

So we can conclude that the whole set B is included in the set A.

Then the correct notation would be:

B ⊂ A

Answer:

B ⊂ A

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

Simplify

-49/7= -7

-64/8 = -8

Dividing a negative by a positive gives a negative.

(-7) + (-8) = -15