Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?

Answer:

95.5

Step-by-step explanation:

Simplifying the expression means combining like terms.

In this case, just add 92 and 3.5

A more complex example for your understanding, as you definitely know addition.

\(2x^2+5x^2+3x+4x+1+3\)

Simplifying the expression would equate to the following (add like terms)

\(7x^2+7x+4\)

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The logic statements can be expressed and put into categories as follows;

1. If two lines are perpendicular, then the four angles caused by them are right angles

2: 1. Inductive

2. Deductive reasoning

1. If two lines are perpendicular, then the four angles caused by them are right angles.

Two lines are perpendicular when the angles formed by them are right angles.

The vertically opposite angles formed by intersecting lines have equal measure, and linear pair angles are supplementary, therefore;

If one of the angles formed by intersecting lines is known to be 90°, the vertical and adjacent angles are also 90°, and by the sum of angles at a point property, the remaining angle is also, 90°, which indicates that all the angles formed are right angles (90°).

An If, Then statement is therefore;

2. Inductive reasoning is the logic approach of making general conclusion from specific observations.

Deductive reasoning is an approach where general ideas are used to arrive at particular conclusions.

1. The statement, the product of two 2–digit numbers is always a 4–digit number, draws a general conclusion about the result of multiplying two 2–digit numbers, therefore;

2. The statements, Florida requires all lawyers to pass the Bar Exam to practice law.

If Mark does not pass the bar then he would not legally be able to represent clients as their lawyer.

The above statement makes deductions from the general statement on the rules of law practice in Florida.

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Answer:

66m

Step-by-step explanation:

Answer:

66 m

Step-by-step explanation:

ok so if you think about it, when she runs diagonal she's creating a triangle where she is running along the hypotenuse. we can now use the Pythagorean Theorem a^2 + b^2 = c^2 to solve for the other side with two of them being known.

plug values in

100^2 + w^2 = 120^2

square known values

10,000 = w^2 = 14,400

subtract 10,000 from both sides

w^2 = 4400

take the square root

w = 66 (rounded to the nearest whole number)

If λ is an eigenvalue of matrix A and x is the corresponding eigenvector, then for any positive integer m, λ^m is an eigenvalue of A^m, and x is the corresponding eigenvector of A^m.

Let λ be an eigenvalue of matrix A with eigenvector x. This means that Ax = λx. Now, consider the matrix A^m, where m is a positive integer. By multiplying both sides of the eigenvector equation by A^(m-1), we have A^(m-1)Ax = A^(m-1)(λx), which simplifies to A^mx = λA^(m-1)x.

Since A^mx = (A^m)x and A^(m-1)x = λ^(m-1)x, we can rewrite the equation as (A^m)x = λ^(m-1)(Ax). Using the initial eigenvector equation Ax = λx, we have (A^m)x = λ^(m-1)(λx), which further simplifies to (A^m)x = λ^m x.

Therefore, we have shown that if λ is an eigenvalue of A with eigenvector x, then for any positive integer m, λ^m is an eigenvalue of A^m with the same eigenvector x. This result demonstrates the relationship between eigenvalues and matrix powers, illustrating that raising the matrix to a power corresponds to raising the eigenvalue to the same power while keeping the eigenvector unchanged.

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Answer:

FOUR (4)

Step-by-step explanation:

a = 24

b = 6

equation = A divided by B

               = 24 divided by 6

               = 4

Answer:

m = - 1

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Pick 2 points (-2,0) (0, -2)

We see the y decrease by 2, and the x increase by 2, so the slope is

m = -2/2 = -1

So, the slope is -1

Answer:

m = - 1

Step-by-step explanation:

therefore the range of u(x) is [0, ∞).Domain and range of v(x) = √18 are (-∞, ∞) and {√18} respectively.

Given functions:f(x) = x² + 2 with domain (-0, ∞)g(x) = x - 2 with domain (-0, ∞)h(x) = x + 5 with domain (18, ∞)u(x) = √(x + 18) with domain (-18, 0)v(x) = √18Note: The symbol 'V' in the functions u(x) and v(x) is replaced with the square root symbol '√'.Domain and Range of a function:A function is a set of ordered pairs (x, y) such that each x is associated with a unique y. It is also known as a mapping, rule, or correspondence.Domain of a function is the set of all possible values of the input (x) for which the function is defined.Range of a function is the set of all possible values of the output (y) that the function can produce.Domain and range of f(x) = x² + 2 are (-0, ∞) and [2, ∞) respectively.Since the square of any real number is non-negative and adding 2 to it gives a minimum of 2, therefore the range of f(x) is [2, ∞).Domain and range of g(x) = x - 2 are (-0, ∞) and (-2, ∞) respectively.Domain and range of h(x) = x + 5 are (18, ∞) and (23, ∞) respectively.Domain and range of u(x) = √(x + 18) are (-18, 0) and [0, ∞) respectively.Since the square root of any non-negative real number is non-negative,

..

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Answer:

Step-by-step explanation:

Life in the mid-1800s was marked by widespread prejudice and discrimination against minority groups, including immigrants and African Americans. The period was also characterized by a series of famines that led to significant suffering and mortality. Nativist movements gained popularity, promoting the interests of those born in the United States over those of immigrants. At the same time, millions of emigrants left their homes in search of better opportunities in America, despite the obstacles they faced upon arrival.

Answer:

(if you would like a short one/ still need help)

Nativists we’re prejudice and discriminatory towards Irish emigrants who had come to the United States after the events of the Irish Potato Famine

hope this helps :)

Answer:

New power = 88 Kw (Approx.)

Step-by-step explanation:

Given:

P = a(v³)

Old power p = 700 Kw

Old wind speed v = 12 m/s

Find:

New power when v = 6m/s

Computation:

P = a(v³)

700 = a(12³)

a = 0.4050 m²

New power = a(v³)

New power = (0.4050)(6³)

New power = 87.48

New power = 88 Kw (Approx.)

Answer:

option A

Step-by-step explanation:

The line splits the triangle ABC into two triangles with same base length.

Therefore ,

\(Area \ of \ ABC = Area \ of \ ABD + Area \ of \ CBD\\\\\)

                   \(= (\frac{1}{2} \times base \times height) + (\frac{1}{2} \times base \times height)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times CD \times BD)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times AD \times BD)\)\([ \ Given : AD = \ CD \ ]\)

                   \(= 2 \times (\frac{1}{2} \times AD \times BD)\\\\= 2 \times Area \ of \ ABD\)

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer: 44

Step-by-step explanation:

46 - 24 = 22 (when halved so you need to multiply by 2)

22 * 2 = 44

Answer:

pls ask question in English

Answer:

{x | x > –5}

{x | x > –3}

{x | x > 3}

{x | x > 5}

Step-by-step explanation:

Answer:

3.2x=24

x=24*3.2

x=7.5

Step-by-step explanation:

Answer:

\(8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\\)

Step-by-step explanation:

from  formula a³ – b³ = (a – b) (a² + ab + b² )

Answer:

His percent markup is 150%

Step-by-step explanation:

Sue's hourly rate of pay is $16.41. This calculation is derived by dividing her yearly salary of $32,000 by the total number of hours she works in a year, which is approximately 975 hours.

To find Sue's hourly rate of pay, we need to divide her yearly salary by the total number of hours she works in a year.

First, let's calculate the number of hours Sue works in a year. She is paid bi-weekly, so there are 26 pay periods in a year (52 weeks divided by 2). Her regular workweek is 37.5 hours, so she works a total of 37.5 hours per week * 26 pay periods = 975 hours per year.

Next, we divide Sue's yearly salary of $32,000 by the total number of hours she works in a year:

Hourly rate of pay = Yearly salary / Total hours worked

Hourly rate of pay = $32,000 / 975 hours

Hourly rate of pay ≈ $32.82

Therefore, Sue's hourly rate of pay is approximately $16.41 (rounded to the nearest cent).

It is important to note that the calculation assumes Sue does not receive any additional benefits or bonuses that could affect her overall compensation.

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The centralizers for the elements of z/z4 are \({0} \rightarrow z/z4, {1, 2} \rightarrow {0, 2}, {3} \rightarrow z/z4.\) The centralizers for the elements of d6 are \({r, r3} \rightarrow {r, r3}, {r2} \rightarrow {r2, r3}, {s} \rightarrow {s, r2}, {sr} \rightarrow {sr, r2}, {sr2} \rightarrow {sr2, r2}.\)

1. To find the centralizer of an element in a group, we need to find all elements in the group that commute with the given element. Let's consider the two groups z/z4 and d6.

z/z4: This is the group of integers modulo 4, which has four elements: {0, 1, 2, 3}. Let's consider each element in turn.

For 0, the centralizer is the whole group, since every element commutes with 0.

For 1, the centralizer is {0, 2}, since 0 and 2 commute with 1.

For 2, the centralizer is {0, 2}, since 0 and 2 commute with 2.

For 3, the centralizer is the whole group, since every element commutes with 3.

So the centralizers for the elements of z/z4 are: \({0} \rightarrow z/z4, {1, 2} \rightarrow {0, 2}, {3} \rightarrow z/z4.\)

2. d6: This is the dihedral group of order 12, which has six elements: {r, r2, r3, s, sr, sr2}. Let's consider each element in turn.

For r, the centralizer is {r, r3}, since only rotations by multiples of 120 degrees commute with r.

For r2, the centralizer is {r2, r3}, since only rotations by multiples of 60 degrees commute with r2.

For r3, the centralizer is {r, r3}, since only rotations by multiples of 120 degrees commute with r3.

For s, the centralizer is {s, r2}, since only reflections and rotations by multiples of 180 degrees commute with s.

For sr, the centralizer is {sr, r2}, since only reflections and rotations by multiples of 60 degrees commute with sr.

For sr2, the centralizer is {sr2, r2}, since only reflections and rotations by multiples of 300 degrees commute with sr2.

So the centralizers for the elements of d6 are: \({r, r3} \rightarrow {r, r3}, {r2} \rightarrow {r2, r3}, {s} \rightarrow {s, r2}, {sr} \rightarrow {sr, r2}, {sr2} \rightarrow {sr2, r2}.\)

In summary, the centralizer of an element in a group consists of all elements in the group that commute with that element. The centralizers for the elements of z/z4 and d6 have been found by considering each element in turn and finding the elements that commute with it.

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Answer:

Step-by-step explanation:

y = 3 times x

or: y divided by x = 3

Given that :-

→ N represent the number of bikes .

→ Weight of container including bikes is 250+23(n-1) pounds.

To Find :-

→ Weight of container when we have 20 bikes.

Solution :-

→ Weight = 250+23(n-1) pounds

Putting the value of n here .

→ Weight = 250+23(20-1)

→ Weight = 250 +23(19)

→ Weight = 250 + 437

An expression is defined as a set of numbers, variables, and mathematical operations. The container weight with 20 bikes in it will be 687.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that the weight of the container in pounds, including the bikes, can be modeled using the expression 250 + 23 (n-1). Therefore, the container weighs 20 bikes in it will be,

Weight of container = 250 + 23(n - 1)

                                 = 250 + 23(20 - 1)

                                 = 250 + 23(19)

                                 = 250 + 437

                                 = 687

Hence, the container weight with 20 bikes in it will be 687.

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Answer:

it would take 10 minutes if they worked together

Step-by-step explanation:

Answer:

we can proove by ASA congruence or SAS congruence rule

Answer:

45 meters

Step-by-step explanation:

graph the equation and find the y-intercept

The values of the missing angles are:

a) x = 172 and y = 178.

b) p = 36, n = 112 and q = 144.

c) r = 90 and s = 100

We have,

a)

The sum of the angles in a triangle = 180

So,

70 + 38 + x = 180

x = 180 - 108

x = 172

And,

y is the exterior angle.

So,

y = 70 + 108

y = 178

b)

68 is an exterior angle.

So,

68 = 32 + p

p = 68 - 32

p = 36

And,

32 + p + n = 180

32 + 36 + n = 180

n = 180 - 68

n = 112

And,

q = 32 + n

q = 32 + 112

q = 144

c)

In a parallelogram,

The opposite sides are parallel and congruent, and the opposite angles are also congruent.

So,

r = 90

s = 100

Thus,

a) x = 172 and y = 178.

b) p = 36, n = 112 and q = 144.

c) r = 90 and s = 100

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The value of the angle x is equal to 53°

A) From the image attached, we can solve for the angles as follows;

m ∠RPB = 180 - 115 = 65°

Thus, the angle m∠x =  180° - 65° - 62°

= 53°

B) m∠RPB + m∠PRD = 180° (Internal angle between 2 parallel lines are equal).

Second line:

The 3 angles x, 62 and 65 degrees  are all on the same straight line (AB), so they sum to 180 degrees.

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Answer:

2

Step-by-step explanation:

15i-18=12

15i= 12+18

15i= 30

I= 30/15= 2

Answer:

\(-1\)

Step-by-step explanation:

Substituting into the slope formula,

\(m=\frac{-3-(-2)}{2-1}=-1\)

Answers:

3 chocolate cones

1 strawberry cones

===========================================================

Explanation:

Let's isolate the variable c in the first equation

c+s = 4

c = 4-s

we subtract s from both sides to get c all by itself. This will then be plugged into the second equation. I'm using the substitution property.

1.75c + 1.3s = 6.55

1.75(4-s) + 1.3s = 6.55 ..... replace c with 4-s

1.75*4 + 1.75*(-s) + 1.3s = 6.55

7 - 1.75s + 1.3s = 6.55

-0.45s + 7 = 6.55

-0.45s = 6.55 - 7

-0.45s = -0.45

s = -0.45/(-0.45)

s = 1

So he bought 1 strawberry cone. Use this value of s to find c

c = 4-s

c = 4-1

c = 3

This says he also bought 3 chocolate cones.

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

As a check, we see that c+s = 3+1 = 4, showing that he bought 4 cones total.

Also,

1.75c + 1.3s = 1.75*3 + 1.3*1 = 6.55

indicating he spent $6.55 total for the four cones. This matches with what the instructions tell us, so the answer is confirmed.

Answer:

Step-by-step explanation:

\(\left \{ {{c+s=4} \atop {1.75c+1.3s=6.55}} \right.\)

1.75c + 1.75s = 1.75 × 4 ........ (1)

1.75c + 1.3s = 6.55 ........ (2)

(1) - (2)

0.45s = 0.45 ⇒ s = 1

c + 1 = 4 ⇒ c = 3

[ 3 ] chocolate  [ 1 ] strawberry