Clarance has a 25% off coupon for a tune-up at Quick Service Auto Repair. If a tune-up is regularly $50, what is the sale price?

Answer:

\(\sf{x = 2}\)

Step-by-step explanation:

Question type: solving equations with variables on both sides.

\(\textsf{This is a question with variables on both sides, to solve this we need to get the variable x }\)

\(\textsf{alone. (getting the x on one side)}\)

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\(\sf{-2x~+~4~=~2x~-~4\)

Subtract 4 from both sides.

\(\sf{-2x~=~2x~-8\)

Subtract 2x from both sides.

\(\sf{-4x~=~-8}\)

Divide both sides by -4.

\(\bf{x~=~2\)

Therefore, x would be 2.

\(-jurii\)

Answer:

x=2

Step-by-step explanation:

Answer:a A. 4x-7/2x(x-2)

got it right on the test

Step-by-step explanation:

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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To calculate the number that must be added to make the expression:

Therefore the number that must be added to make the expression a perfect square is 121/4

Answer:

(343/3) cm³

Step-by-step explanation:

area of base = 7 X 7 = 49.

area of shape = (1/3) X base area X vertical height

= (1/3) X 49 X 7 = (343/3) cm³

The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

We have the 4 functions as shown in the image attached.

The y - intercept is the point where the graph intercepts the y - axis.

Function [1] -

y = 4 + 2x

y - intercept is 4

Function [2] -

y = 5ˣ + 1

y - intercept is 2.

Function [3] -

the y-intercept is 1.

Function [4] -

the y - intercept is at -1.

Therefore, the greatest y-intercept is of function -

f(x) = 2x + 4

and the least y-intercept is of the function shown in graph [4] or function [4].

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Answer:

Carlos puts $3 into his bank account and it grows by 50% each year

f(x)=4^x+1

(The Table)

(The Graph)

Answer:

1.8

Step-by-step explanation:

search it up

Answer:

The Avogadro's number in scientific notation is;

Explanation:

Avogadro's number can be written in scientific notation as;

Converting to the standard notation (normal number).

The Avogadro's number in scientific notation is;

9514 1404 393

Answer:

Step-by-step explanation:

Usually, we write an equation for each side of the inequality.

Left-side equation:

  y = x^2 +6x

Right-side equation:

  y = x^2

So, the system of two equations in two variables is ...

_____

Additional comment

The solution of this system is (x, y) = 0.

Answer:

Total money made is $597, $489 from hardbacks and $108 from paperbacks.

Step-by-step explanation:

$3 x 163= $489

$2 x 54= $108

total $= 3(163)+2(54)

total $= 489 + 108

total $ = 597

Step-by-step explanation:

y=kx

25= k(-5)

k= -5

y= -5x

y = -5 ×3 = -15

Answer:

Speed of wind = 23.63 miles per hour

Plane speed in still air = 260 miles per hour

Step-by-step explanation:

Given:

Time taken with wind = 5 hour

Time taken against wind = 6 hour

Assume;

Speed of wind = s

So,

Speed of Plane with wind = (260 + s) miles per hour

Speed of Plane against wind = (260 - s) miles per hour

Distance = speed x time

So,

(260 + s)5 = (260 - s)6

1,300 + 5s = 1,560 - 6s

11s = 260

s = 23.63 miles per hour

Speed of wind = 23.63 miles per hour

Plane speed in still air = 260 miles per hour

sets of rational numbers = Q

sets of rational numbers is represented by \( \mathbb{Q}\)

Sets of intigers is represented by Z

Sets of whole numbers is represented by W

Answer:

  2 +4√2

Step-by-step explanation:

Perhaps you want the simplified form of (6-√8)/(√2 -1).

The denominator can be rationalized by multiplying numerator and denominator by the conjugate of the denominator:

  \(\dfrac{6-\sqrt{8}}{\sqrt{2}-1}=\dfrac{(6-\sqrt{8})(\sqrt{2}+1)}{(\sqrt{2}-1)(\sqrt{2}+1)}=\dfrac{6\sqrt{2}+6-\sqrt{16}-\sqrt{8}}{2-1}=\boxed{2+4\sqrt{2}}\)

__

Additional comment

The conjugate of the denominator is the same pair of terms with the sign between them changed. The product of the binomial and its conjugate is then the difference of squares. Since the square of a square root eliminates the radical, multiplying by the conjugate has the effect of removing the radical from the denominator.

The same "difference of squares" relation can be used to remove a complex number from the denominator.

  (a -b)(a +b) = a² -b²

In general, the differences of terms of the same power can be factored. This means that denominators with this form can be "rationalized" by taking advantage of that factoring.

<95141404393>

Answer:

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

Simplify the expression in steps:

\(\cfrac{6-\sqrt{8} }{\sqrt{2}-1 } =\)

\(\cfrac{6-2\sqrt{2} }{\sqrt{2}-1 } =\)

\(\cfrac{2(3-\sqrt{2} )(\sqrt{2} +1)}{(\sqrt{2}-1)(\sqrt{2}+1) } =\)

\(\cfrac{2(3\sqrt{2}+3-(\sqrt{2}^2) -\sqrt{2} )}{(\sqrt{2})^2-1 } =\)

\(\cfrac{2(2\sqrt{2}+3-2) }{2-1} =\)

\(\cfrac{2(2\sqrt{2}+1) }{1} =\)

\(4\sqrt{2}+2\)

Answer:

x=KY

as x is directly proportional to y

The final score of Michelle is  83 points  .

In the question ,

it is given that ,

the grades given for correct answer by the teacher is = 5 points

the points given by teacher for no answer = 0 points

the points deducted for wrong answer is = 2 points

So , Michelle answered 17 questions correctly , the score is

= 17 * 5 = 85

left 3 answer so , she got 0 points ,

she marked 5 answers ,

So , the points deducted = 5*(-2) = -10

= 85 - 10 = 75 points

she also get 8 out of 10 points , that means

final score = 75 + 8 = 83 points

Therefore , The final score of Michelle is  83 points  .

The given question is  incomplete , the complete question is

A teacher wanted to prevent students from guessing answer on a multiple choice test. The teacher graded 5 points for a Correct Answer. 0 points for No Answer and -2 points for Wrong Answer ,  Michelle answered 17 questions correctly , left 3 blank and 5 wrong answers she also got 8 out of 10 possible points for extra credit . What was her final score ?

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Answer: use circumfrans to get ur answer

Step-by-step explanation:

pls give brainlest almost lvled up

Answer:

x^2 + (y - 13)^2 = 25 thts the anwser

Step-by-step explanation:

The formula that can be used to describe the sequence is: f(x) = -81(4/3)ˣ⁻¹. Therefore, the correct formula is f(x) = -81(4/3)ˣ⁻¹

A sequence is an ordered list of numbers or other mathematical objects, such as functions or shapes, that follow a specific pattern or rule.

Each individual element in the sequence is called a term, and the position of a term in the sequence is called its index.

Sequences can be finite, meaning they have a fixed number of terms, or infinite, meaning they continue infinitely without end.

The key here is to look at the base of the exponent, which is 4/3. This tells us that each term in the sequence is being multiplied by 4/3. Additionally, the "-1" in the exponent means that the first term in the sequence is -81.

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Answer:

x = 4/5, and x = 3

Step-by-step explanation:

set both parts of the equation equal to 0

-5x+4 =0

-5x= -4

divide by -5

x= 4/5

x-3 = 0

x=3

how many different types of omlettes can be prepared with 10 ingredients? 7

Answer:

1024 omelets

Step-by-step explanation:

2^10 = 1024

Answer:

The least common multiple of 3, 4, 6, and 7 is 84.

Let's check

84 / 3 = 28

84 / 4 = 21

84 / 6 = 14

84 / 7 = 12

Answer: IV. Gender

Step-by-step explanation:

A categorical variable is a variable that has two or more categories.

Driver ID consists of numbers and alphabet and it has no category.

Age is expressed in numbers , it cannot be categorical.

Car has many types but not category.

Gender has mainly 2 categories as male and female (some times 3 if we include transgender)

So, Gender is a categorical variable.

So correct option is IV. Gender

Answer:  6 * 24 = 144 ways.

Step-by-step explanation:

Solution:

Given word => DANGER.

The condition is that vowels can't occupy odd places so, we will let them occupy even places.

A total number of arrangements will be = 6 * 24 = 144 ways.

Answer: 6x24 = 144 ways.

Answer:

x \ge 24/19

Step-by-step explanation:

(20x+6\right)\ge \:x+30

20x+6\ge \:x+30

20x\ge \:x+24

19x\ge \:24

divide both sides by 19

\frac{19x/{19\ge24/19

x\ge 24/19

Answer:

the profit is basically the same even after drastic changes to the amount of expenses

(a) A basis for a subspace is a set of linearly independent vectors that span the subspace. To find a basis for this subspace, we can use the following steps:

Write the given set of vectors as the rows of a matrix, with each vector as a row.

Use row-reduction (Gaussian elimination) to put the matrix in row-echelon form.

The non-zero rows of the row-echelon form matrix form a basis for the subspace.

So, we get the matrix:

| 6a - 2c | -5b - 5c | -6a + 5b + 2c | -6a + 2c |

Using row-reduction, we can simplify the matrix to:

| 1 - 1/3 | 0 | 1/3 | -1/3 |

The non-zero rows are {[ 1 - 1/3 0 1/3 -1/3 ]}

So, a basis for the subspace is:

{[ 1 - 1/3 0 1/3 -1/3 ]}

(b) The dimension of a subspace is the number of linearly independent vectors in a basis for the subspace. In this case, the basis for the subspace has only one vector, so the dimension of the subspace is 1.

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Answer:

a) the angle of ascent is 8.2°

b) the horizontal distance traveled is 4375 m

Step-by-step explanation:

depth of ocean = 626 m

distance traveled in the ascent = 4420 m

This is an angle of elevation problem with

opposite side to the angle = 626 m

hypotenuse side = 4420 m

a) angle of ascent ∅ is gotten from

sin ∅ = opp/hyp = 626/4420

sin ∅ = 0.142

∅ = \(sin^{-1}\) 0.142

∅ = 8.2°  this is the angle of ascent of the submarine.

b) The horizontal distance traveled will be gotten from Pythagoras theorem

\(hyp^{2}\) = \(opp^{2}\) + \(adj^{2}\)

The horizontal distance traveled will be the adjacent side of the right angle triangle formed by these distances

\(4420^{2}\) = \(626^{2}\) + \(adj^{2}\)

adj = \(\sqrt{4420^{2}-626^{2} }\)

adj = 4375 m  this is the horizontal distance traveled.

Answer:

After 2 years, Option 1 will give you a larger amount of money.

To calculate the amount of money in Option 1 after 2 years, we can use the formula:

A = P * (1 + r/n)^(nt)

Where A is the end amount, P is the principal amount ($1000), r is the interest rate (12%), n is the number of times compounded in a year (4), and t is the time in years (2).

Plugging in these values, we get:

A = $1000 * (1 + 0.12/4)^(4 * 2) = $1000 * (1.03)^8 = $1000 * 1.2597 = $1259.70

To calculate the amount of money in Option 2 after 2 years, we can use the formula:

A = P * e^(rt)

Where A is the end amount, P is the principal amount ($1000), r is the interest rate (6%), and t is the time in years (2).

Plugging in these values, we get:

A = $1000 * e^(0.06 * 2) = $1000 * e^0.12 = $1000 * 1.1268 = $1126.80

So, after 2 years, the amount of money in Option 1 is $1259.70, while the amount of money in Option 2 is $1126.80. Therefore, Option 1 will give you the most money after 2 years.

Answer:

2 triangles

Step-by-step explanation:

2 triangles are said to be congruent when all the corresponding sides of the angle and the interior angles are congruent . The two triangle are said to be the mirror image of each other.