Write an algebraic expression for each verbal expression. 1. The product of 24 and d 2 points a. d + 24 c. 24 – d d. 24 x d b. 24 ÷ d

Answer:

9 hours in total

Step-by-step explanation:

Answer:

9 hours

Step-by-step explanation:

Firstly the would add 1 1/2 and 2 1/2.

4

Then you would add 2

6

Lastly you would add 3

9

Therefore, your answer would be 9 hours.

Answer: 24,000 / 6,200 = x years

Step-by-step explanation:

The car is valued at $24,000.

Yearly payments are $6,200.

The year that it will be paid off can be dtermined by calculating how long it would take $6,200 to get to $24,000.

You can do that by dividing $24,000 by $6,200.

Assume the number of years for the car to be paid off is x:

24,000 / 6,200 = x years

When solved:

= 24,000 / 6,200

= 3.87 years

Restricted stock refers to shares of stock given to a person subject to certain restrictions. It is an efficient method for attracting and retaining key employees because it incentivizes them to stay with the organization by giving them a financial interest in the company's success.

Restricted stock may be valued based on the current market price of the underlying stock at the time it is awarded. In this case, Novak Corporation issues 2,400 shares of restricted stock to its executives on January 1,2020 (the date of grant). The fair value of these shares is $111,000, and their par value is $12,000.The entries for Jan 1, 2020 are as follows: Restricted Stock ($99,000) Share Capital (Par Value) ($12,000) Additional Paid-In Capital ($87,000)These journal entries display the following information:

The corporation acknowledges the delivery of 2,400 shares of restricted stock worth $111,000 to its executives on January 1,2020.The par value of the shares is $12,000, meaning that each share has a par value of $5. As a result, the share capital account should be credited for the total par value of the shares, which is $12,000.

The remaining $99,000 ($111,000 - $12,000) represents the fair value of the shares given to the executives. The corporation must credit additional paid-in capital, an equity account, for this amount, as it is paid-in capital contributed to the corporation by investors.The entries for Dec 31, 2020 are as follows:

Compensation Expense ($33,000) Restricted Stock ($33,000)These journal entries display the following information: $33,000 is the yearly compensation cost (i.e., expense) related to the restricted shares granted to executives (one-third of the fair value). The compensation cost is debited to compensation expense, an income statement account. The balance in the restricted stock account ($99,000) is reduced by $33,000 to reflect the quantity of restricted stock given to the executives that have been earned for services delivered during the year. Restricted stock is credited for $33,000.

In the year 2020, the entries for the issuance of restricted stock to its executives on January 1 and the compensation expense and the related reduction in restricted stock at December 31 are provided in this solution.

To know more about Restricted stock :

brainly.com/question/17321939

#SPJ11

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Because

To rewrite the expression 1 - cos^2(theta) without using absolute values for the given values of theta (2.5 < theta < 3), we can utilize the trigonometric identity for cosine squared:

cos^2(theta) = 1 - sin^2(theta)

Now, let's substitute this identity into the expression:

1 - cos^2(theta) = 1 - (1 - sin^2(theta))

= 1 - 1 + sin^2(theta)

= sin^2(theta)

Therefore, for the given range of theta (2.5 < theta < 3), the expression 1 - cos^2(theta) is equivalent to sin^2(theta).

To know more about identity visit-

brainly.com/question/31054770

#SPJ11

Answer:

I assume that songs are $0.99 each.  Let x represent the number of songs you download.  Then the total cost of downloading x songs would be

C(x) = $5.00 + ($0.99/song)x

and ONLY integers = to or greater than 0 make sense here.  The domain is [0,  100) assuming you cannot buy more than 100 songs.

Personally I'd give the answer as "2, whole numbers more than or equal to zero."  However, IF you don't pay the membership fee until ready to actually order one or more songs, then "2, whole numbers greater than or equal to one" makes sense.  You'd pay $5 plus $0.99 for one song, in that case.

Step-by-step explanation:

Answer:

y=3x+5

Step-by-step explanation:

gradient =(y2-y1)÷(x2-x1)

(-4--3)÷(3-2)

=-3/1

y=mx+c

y+1/x-2=_3/1

y+1=-3x+6

y=3x+5

\(\huge\underline\mathtt\colorbox{orange}{ y = -3 x + 5}\)

Find the equation of the line in slope-intercept form with the properties:

point: p_1 = (2, -1)

point: p_2 = (3, -4)

The slope of the line through points (x_1, y_1) and (x_2, y_2) is m = (y_2 - y_1)/(x_2 - x_1):

m = (-4 - (-1))/(3 - 2) = -3

Substitute the slope m = -3 and point (x_1, y_1) = (2, -1) into the point-slope equation y - y_1 = m (x - x_1):

y - (-1) = -3 (x - 2)

Subtract 1 from both sides:

y = -1 - 3 (-2 + x)

Distribute: -3 (x - 2) = 6 - 3 x:

Answer:

y = -3 x + 5

Assuming that all four beads must be used in each necklace, there would be only one necklace that can be formed using 2 blue beads, one red bead, and one yellow bead.
You can form 2 unique necklaces using 2 blue beads, one red bead, and one yellow bead. The arrangements are:
1. Red - Blue - Blue - Yellow
2. Yellow - Blue - Blue - Red

To solve this problem, we need to determine the number of unique ways we can arrange the beads on a necklace.

Since this is a circular arrangement, we need to account for rotations and reflections. This means that if we have a necklace with beads arranged in a certain order, we can rotate the necklace and get a different arrangement, but it will still be considered the same necklace. Similarly, if we can reflect the necklace (flip it over), we will get a different arrangement, but it will still be considered the same necklace.

To find the total number of unique arrangements, we can use the formula:

N = (n!)/(r!(n-r)!)

where:

N is the number of unique arrangements

n is the total number of items to choose from (in this case, 4 beads)

r is the number of items to choose (in this case, we want to choose all 4 beads)

Using this formula, we get:

N = (4!)/(4!(4-4)!)

N = (4!)/(4!0!)

N = 1

Therefore, there is only one unique necklace that can be formed using 2 blue beads, one red bead, and one yellow bead.

learn more about probability here: brainly.com/question/13604758

#SPJ11

Answer: x= 7191.509 ft

Step-by-step explanation:

Sin9/1 = 1125/x

X/1 = 1125/sin9

Step-by-step explanation:

The given figure consists of some rectangles and square making up a bigger square.

As we know that,

area of rectangle= length*breadth, so

Area of rectangle A :-

A = lb

A = (6x+1)(x+2)

A = 6x(x+2)+1(x+2)

A = 6x² + 12x + x + 2

A = 6x² + 13x + 2

Area of rectangle B :-

A = (2x+2)(3x+1)

A = 2x(3x+1)+2(3x+1)

A = 6x² + 2x + 6x + 2

A = 6x² + 8x + 2

Area of rectangle C :-

A = (x+1)(x+2+2x+2)

A = (x+1)(3x+4)

A = 3x² + 4x + 3x + 4

A = 3x² + 7x + 4

Area of rectangle D :-

A = (3x+1)(3x+1)

A = 9x² + 3x + 3x + 1

A = 9x² + 6x + 1

Area of rectangle E :-

A = (6x+1-3x-1 )(2x+2+3x+1)

A = 3x(5x+3)

A = 15x² + 9x

Hence these are the simplified expressions making up the area of the whole square .

And we are done!

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

Know more about fraction here:

https://brainly.com/question/10354322

#SPJ11

Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

To learn more about Division visit:https://brainly.com/question/21416852

#SPJ4

Decimal: 1.17865691489

Fraction: 97/88

Mixed Fraction: 1 9/88

I hope this helps you

Have an awesome weekend :)

Answer:

7.5 inches per hour

Step-by-step explanation:

Given that:

Morning low tide at beach = 12 inches

Afternoon tide after 6 hours = 57 inches

Average number of inches tide changed per hour :

(Afternoon tide - morning tide) / number of hours

(57 inches - 12 inches) / 6 hours

45 inches / 6 hours

= 7.5 inches per hour

there is your answer. hope this helps

a. Point-slope form is: y - y0 = m(x - x0). Plugging in our values, we get: y - 2 = -3(x - 11). Typically we can just leave it like this, but for the sake of simplifying it down to slope-intercept form, it would be y = -3x + 35.

b. y - 2 = -3((0) - 11)

y - 2 = 33

y = 35.

c. y = -3x + 35.

Edit: Bolded the last answer.

Answer:

$0.7

Step-by-step explanation:

$25.20 ÷ 36 = $0.7 per mile

Answer:

Step-by-step explanation:

0,7

Answer:

12 books

Step-by-step explanation:

Lets set aside $25 for dinner first.

Amount left = $230 - $25 = $205

Number of books able to buy = amount left ÷ cost per book

= $205 ÷ $17

= 12.058 books

Of course, you cant buy .058 books , that wont make sense, so you take the highest possible WHOLE number, which in this case, is 12 books.

Answer:

21

Step-by-step explanation:

6+5+4+3+2+1=21 and there you g9

Answer:

Step-by-step explanation:

Equations of vertical lines are those in which there is no change in the horizontal direction, i.e., parallel to the y-axis. The equation is always x = a, where a is any constant.

For example, x = 3, x = 2, etc. Let's check the given options:A. x - y = 0 can be rewritten as x = y. This is not a vertical line equation.B. Ox + 2y = 2 can be rewritten as 2y = - Ox + 2 or y = - (O/2)x + 1. This is not a vertical line equation.C. 3x + Oy = 7 can be rewritten as 3x = 7 - Oy or x = (7 - Oy)/3. This is not a vertical line equation.D. 2x - y = 2 can be rewritten as y = 2x - 2. This is not a vertical line equation.E. x + Oy = 7 can be rewritten as y = (7 - x)/O. This is not a vertical line equation.F. Ox + 4y = 8 can be rewritten as Ox = 8 - 4y or x = 8/O - 4(O/1)y/O or x = 8/O - 4y. This is a vertical line equation.G. 12x + Oy = 24 can be rewritten as Oy = - 12x + 24 or y = - (12/O)x + 24/O. This is not a vertical line equation.The equations of vertical lines are x = 8/O - 4y and option (F) is correct.Answer: Option (F).

To know more about equation  , visit ;

https://brainly.com/question/17145398

#SPJ11

The value of the variable is n = 5/2

Algebraic expressions are defined as mathematical expressions that are composed of terms, variables, coefficients, constants and factors.

These algebraic expressions are also made up of mathematical operations.

These operations are listed thus;

From the information given, we have that;

4n+11+2n=4,

collect the like terms, we have that;

4n + 2n = 4 + 11

Add the like terms

6n = 15

Divide by the coefficient, we have;

n = 15/6

n = 5/2

Learn more about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

Answer:

C. 64

Step-by-step explanation:

x° = 1/2[(360° - 2*58°) -2*58°]

x° = 1/2[(360° - 116°)- 116°]

x° = 1/2[244°- 116°]

x° = 1/2[128°]

x° = 64°

x = 64

The equation of the vertical asymptote of the function \(g(x)=4log_{2} (x-2)+5\) is x=2.

Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.

There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.

Graph the function \(g(x)=4log_{2} (x-2)+5\)

(x,y)= (3,5), (4,9), (6,13)

From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.

To know more about vertical asymptotes, visit:

https://brainly.com/question/11743529

# SPJ4

The complete question is:

“What is the equation of the vertical asymptote of \(g(x)=4log_{2} (x-2)+5\)? enter your answer in the box.”

Answer: 1/7

Step-by-step explanation:

Just divide the numbers to convert it to decimal.

Answer:

1/7

Step-by-step explanation:

1 divided by 7 using long division is 0.142857 repeated. Please give brainliest thanks

Answer: Width = 4.7 meters, Length = 6.7 meters

Step-by-step explanation:

Let the width be \(w\). It follows that the length is \(w+2\).

\(w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7\)

Answer:

D

Step-by-step explanation:

because it's the right answer

Answer: D :))))) this is right

The interpretation of the inequality is x is less than 7

From the question, we have the following parameters that can be used in our computation:

3x - 8 < 13

The inequality 3x - 8 < 13 can be rewritten as:

3x < 13 + 8

3x < 21

And finally, dividing both sides by 3

x < 7

Hence, the inequality in the form x < 7 is equivalent to 3x - 8 < 13.

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Answer:

1,968

Step-by-step explanation:

Let x₁ and x₂, y₁ and y₂, and z₁ and z₂ represent the 3 pairs of siblings, and let;

Set X represent the set where the siblings x₁ and x₂ sit together

Set Y represent the set where the siblings y₁ and y₂ sit together

Set Z represent the set where the siblings z₁ and z₂ sit together

We have;

Where the three siblings don't sit together given as \(X^c\)∩\(Y^c\)∩\(Z^c\)

By set theory, we have;

\(\left | X^c \cap Y^c \cap Z^c \right |\) = \(\left | X^c \cup Y^c \cup Z^c \right |\) =  \(\left | U \right | - \left | X \cup Y \cup Z \right |\)

\(\left | U \right | - \left | X \cup Y \cup Z \right |\) = \(\left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)\)

Therefore;

\(\left | X^c \cap Y^c \cap Z^c \right | = \left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)\)

Where;

\(\left | U\right |\) = The number of ways the 3 pairs of siblings can sit on the 7 chairs = 7!

\(\left | X\right |\) = The number of ways x₁ and x₂ can sit together on the 7 chairs = 2 × 6!

\(\left | Y\right |\) = The number of ways y₁ and y₂ can sit together on the 7 chairs = 2 × 6!

\(\left | Z\right |\) = The number of ways z₁ and z₂ can sit together on the 7 chairs = 2 × 6!

\(\left | X \cap Y\right |\) = The number of ways x₁ and x₂ and y₁ and y₂ can sit together on the 7 chairs = 2 × 2 × 5!

\(\left | X \cap Z\right |\) = The number of ways x₁ and x₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!

\(\left | Y \cap Z\right |\) = The number of ways y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!

\(\left | X \cap Y \cap Z\right |\) = The number of ways x₁ and x₂,  y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 2 × 4!

Therefore, we get;

\(\left | X^c \cap Y^c \cap Z^c \right |\) = 7! - (2×6! + 2×6! + 2×6! - 2 × 2 × 5! - 2 × 2 × 5! - 2 × 2 × 5! + 2 × 2 × 2 × 4!)

\(\left | X^c \cap Y^c \cap Z^c \right |\) = 5,040 - 3072 = 1,968

The number of ways where the three siblings don't sit together given as \(\left | X^c \cap Y^c \cap Z^c \right |\)  = 1,968

The original cost of the tablet is $70.89 in the given algebraic equation.

A mathematical claim containing two equated algebraic expressions is known as an algebraic equation. When P and Q are polynomials, an algebraic equation has the general form P = 0 or P = Q. The term "multivariate equation" refers to an algebraic equation that has more than one variable.

Univariate equations are algebraic equations that only have one variable. Equations in algebra are balanced by definition. Due to this, the right and left sides of the equation will be equal.

Let the original cost be  x

then

15/100 = 24.99.x

x =  166.6

237.49 - 166.6

= $70.89

Thus, the original cost of the tablet is $70.89 in the given algebraic equations.

Learn more about algebraic equations

https://brainly.com/question/953809

#SPJ1

Full question?

Lucas bought a tablet that was on sale at a 15% discount on your supra case for $24.99 which is been a total of $237.49. Write an equation to find the original cost of the tablet?