Leon Starr purchased 55 shares of stock at
$41.09 per share. His online stockbroker charged him
a $15.99 commission. What is the total amount that he
paid for the stock?
Total amount paid for the stock:

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

The value of a is given as follows:

a = 2.

The rate of change is given as follows:

2.4 inches per hour.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The line passes through the points (–1, –5) and (4, 5), hence the slope m is obtained as follows:

m = (5 - (-5))/(4 - (-1))

m = 2.

Hence:

y = 2x + b.

When x = -1, y = -5, hence the intercept b is obtained as follows:

-5 = -2 + b

b = -3.

Hence:

y = 2x - 3.

Then the value of a is obtained as the value of x when y = 1, hence:

2x - 3 = 1

2x = 4

x = 2.

The rate of change in the snowfall is given as follows:

m = (8.1 - 2.3)/2

m = 2.4 inches per hour.

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Answer:

Yes, he is correct

Step-by-step explanation:

d = sqrt[(6-2)² + (3-4)²]

d = sqrt[4² + (-1)²]

d = sqrt(16 + 1)

d = sqrt(17)

Answer:

A

Step-by-step explanation:

Yes he is correct.

he didn't substitute the values in the wrong places.

he did use the proper order of operations.

he didn't evaluate the powers incorrectly.

Therefore, A is correct.

Answer: the answer would be A.

(x-1)(x-6)(x+6)

Step-by-step explanation:

a p e x

The LCD of the given expression is (x-1)(x-6)(x+6).

What is LCD?

The least common denominator (LCD) is the smallest number or expression that can be a common denominator for a set of fractions.

What is the LCD in the given expression?

Factor the denominator of the right side of the equation.

\(\frac{9}{x-1}-\frac{3x}{x+6}=\frac{4x}{(x-1)(x-6)}\)

From this, it is conclude that the common denominator will be \((x-1)(x-6)(x+1)\).

Therefore, the LCD of the given expression is (x-1)(x-6)(x+6).

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Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Answer:

x1=-3, x2=-1,x3=1

Step-by-step explanation:

not sure if this helps but it did for me

The blanks will have values 2, 3,  and 1 respectively.

What is zero of a function?

Zero of a function is defined as the roots of the function for which the value of the function will be 0 at those points.

If p is the zero of the function f(x)=0 then f(p)=0.

We have,

f(x) = (x-1)² (x+3)³ (x+1)

Now,

The zero is located at x=1 and has a multiplicity of 2.

Because the number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity.

So,

Now,

The zero is located at x = - 3 and has a multiplicity of 3.

And,

The graph of the function will touch, but not cross, the x - axis at the x - value of 1.

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Answer:

76

Step-by-step explanation:

i need 20 words but i gave a pic of explanation u should learn

1. Variable: A symbol or letter that represents an unknown value or quantity in algebraic expressions and equations.

2. Equation: A mathematical statement that shows the equality between two expressions, typically represented by an equal sign (=).

3. Coefficient: The numerical factor that is multiplied by a variable in a term.

4. Expression: A mathematical phrase that may contain variables, constants, and operations, but does not have an equal sign.

5. Linear Equation: An equation in which the highest power of the variable is 1, written in the form ax + b = 0, where a and b are constants and x is the variable.

Variable: In algebra, a variable is a symbol (usually a letter) that represents an unknown value or quantity. It allows us to express mathematical relationships and solve equations.

Equation: An equation is a mathematical statement that shows the equality between two expressions.

It consists of an equal sign (=) and can include variables, constants, and operations.

Solving equations involves finding the values of the variables that make the equation true.

Coefficient: A coefficient is the numerical factor that is multiplied by a variable in a term.

It represents the scale or magnitude of the variable.

For example, in the term 3x, the coefficient is 3.

Expression:

An expression is a mathematical phrase that can contain variables, constants, and operations, but does not have an equal sign.

Expressions can be evaluated or simplified, but they cannot be solved since they lack the equality found in equations.

Linear Equation:

A linear equation is an equation where the highest power of the variable is 1.

It can be written in the form ax + b = 0,

where a and b are constants and x is the variable.

Solving linear equations involves finding the value(s) of x that satisfy the equation.

These are just a few key definitions that form the foundation of understanding introductory algebra.

Mastering these concepts will provide a solid basis for further exploration and learning in algebraic principles and problem-solving.

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The mean is  47.73.

The median is 46.

The dataset has no mode.

The midrange is 44.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Mean = (70 + 54 + 46 + 85 + 61 + 81 + 45 +  6 + 35+  39 + 3) / 11

= 525 /11 = 47.73

Median is a measure of central tendency that is used to determine the number that is at the center of a set of values when the numbers are arranged in either ascending or descending order.

3, 6, 35, 39, 45, 46, 54, 61, 70, 81, 85

The median is 46.

Mode is the most frequent number in a dataset. The jersey numbers only occur once. Thus, there is no mode.

Midrange is the average of the maximum and minimum values of the dataset.

Midrange = (maximum value + minimum value) / 2

Midrange = (3 + 85) / 2

Midrange = 88 / 2

Midrange = 44

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The formula that describes the average revenue per person in terms of weeks since the movie debuted is R = 1.4 / w².

Given:.M = 350w

T = 250w³

In order to find the average revenue per person (R), we divide M by T:

R = M / T

Substituting the given formulas:

R = (350w) / (250w³)

Now, let's simplify this expression:

R = 350w / 250w³

R = (350 / 250) * (w / w³)

R = 1.4 * (1 / w²)

R = 1.4 / w²

Therefore, the formula that describes the average revenue per person in terms of weeks since the movie debuted is R = 1.4 / w².

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If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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Answer: This is true. For example, 3 is a multiple of 3. And zero is not a multiple of 3. When added together, 3 is still a multiple of 3.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

21/17.5 = 18/15

So the triangles are similar by SAS.

Answer:

8.5

Step-by-step explanation:

3.5 * 11 = 38.5

38.5 - 30 = 8.5

And I dont think the professors in college are doing a very good job if they are asking you this. (unless im wrong)

Answer:

5.25

alternate form

21/4,5/¼

Answer:

Each family member used 2 / 7 of a tube of toothpaste.

Step-by-step explanation:

Since 2 tubes of toothpaste are being shared equally among 7 family members we put 2 as the numerator and 7 as the denominator.

2 tubes of toothpaste over 7 family members

2 / 7

Answer:

49 ÷ 66 × 100= x

Step-by-step explanation:

Answer:

\(P= 49.2m\), \(A=140.4m^2\)

Step-by-step explanation:

The diagonal splits the rectangle into two right triangles so we can use Pythagorean theorem to find the length of the missing side.

Pythagorean theorem states that a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the other two sides

So we can label our unknown side as x

x^2 + 9^2 = 18^2

x^2 + 81 = 324

Subtract 81 from both sides to isolate the x

x^2 = 243

Find the square root of both sides

√x^2 = √243

x ≈ 15.6

(The instruction said round to the nearest 10th).

So now we know

l = 15.6m and w = 9m

P= 2l + 2w

A= lw

P= 2(15.6) + 2(9)

P= 31.2 + 18

P= 49.2m

A=15.6(9)

A=140.4m^2

Answer:

Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12

Step-by-step explanation:

Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12

Hope that helps!

Inverse relationships between operations are used to solve two-step inequalities because they allow us to isolate the variable on one side of the inequality.

A two-step inequality involves two operations that need to be undone in reverse order to solve for the variable. Inverse relationships between operations are used to "undo" these operations, leading to an isolated variable.

For example, consider the inequality 2x + 5 > 11. The first operation being performed on x is multiplication by 2, and the second operation is adding 5. To solve for x, we need to undo these operations in reverse order.

The inverse relationship of multiplication by 2 is division by 2, and the inverse relationship of adding 5 is subtracting 5. Therefore, we can solve the inequality as follows:

2x + 5 > 11

2x > 6 (subtract 5 from both sides)

x > 3 (divide both sides by 2)

Here, we first subtracted 5 from both sides to undo the addition of 5, and then divided both sides by 2 to undo the multiplication by 2.

Inverse relationships between operations are used in two-step inequalities because they help to simplify the equation by undoing the operations one by one, leading to an isolated variable.

By using inverse relationships between operations, we can efficiently and systematically solve two-step inequalities and isolate the variable to find the solution set.

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The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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Formula #1: 0.15x + 22

Formula #2: 0.19x

0.15x + 22 = 0.19x

\(15x+2200=19x\\15x=19x-2200\\-4x=-2200\\\frac{-4x}{-4}=\frac{-2200}{-4}\\X = 550\)

So x = 550.

I hope this helps! :)

Answer:

Formula #1: 0.15x + 22

Formula #2: 0.19x

0.15x + 22 = 0.19x

So x = 550.

I hope this helps! :)

Step-by-step explanation:

Answer:

e, 1/12

Step-by-step explanation:

1) turn the first fraction into a whole number, the closest whole number being 1.

what did you multiply 1/2 by to get 1? the answer would be 2.

whatever you do to oneside, do to the other. when you multiply 6 by 2, you get twelve.

therefore, the answer is 1/12

The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..

Based on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.

The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.

In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.

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Answer:

x = 4

Step-by-step explanation:

The two angles labeled on the diagram are alternate exterior angles and by the Alternate Exterior Angles Theorem, they are congruent. So we can set up an equation like this to solve for x.

2x + 19 = x + 23

x = 4

The perimeter of the given figure is 56x.

So, perimeter: sum of all the sides

Then, according to the given figure:

Therefore, the perimeter of the given figure is 56x.

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Answer:

year 1: 90% × 245000 = 220500

year 2: 90% × 220500 = 198450

year 3: 90% × 198450 = 178605

∴ the car price after 3 years is 178605

explanation:

the value of car decreases 10%. that means the car price is 90%

The price of the car after 3 years will be 178605

We can calculate the value in the following way

Rate of decrease in car's price: 10%

Current price of the car: 245000

Value after 1 year, say value1= current value-10% of current value

\(value1=245000-\frac{10*245000}{100}\)

=245000-24500

=220500

After 1 year, the next decrement in the price will be based on the value of the car in that year. In other words, we calculate the value after the second year by decreasing by 10% of value1.

Value of car after 2 years, say value2= value1- 10% of value1

\(value2=220500- (\frac{10*220500}{100})\)

=220500-22050

=198450

Similarly,

Value of car after 3 years, say value3= value2- 10% of value2

\(value3=198450- (\frac{10*198450}{100})\)

=198450-19845

=178605

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Answer:

703.7168 ft²

Step-by-step explanation:

Use the sector area formula, a = 1/2r²θ

If the diameter is 32 feet, then the radius is 16 feet.

Plug in the radius and angle measure into the formula, and solve:

a = 1/2r²θ

a = 1/2(16)²(7\(\pi\)/4)

a = 703.7168

So, the area of the sector is 703.7168 ft²