I need help with my math homework

The amount after the discount is applied would be $21.25.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

As per the question, the given data as:

Bill amount = 25$

Coupon for 15% off

The amount after the discount can be calculated as:

⇒ 25$ - 15% of 25$

15%  is expressed as 15/100 in fractional form

⇒ 25 - (15/100)(25)

15/100  is expressed as 0.15 in decimal form

⇒ 25 - (0.15)(25)

⇒ 25 - 3.75

⇒ 21.25

Thus, the final amount would be $21.25.

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The estimated area of Laurens's circle is 642 squared.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

Parker:

Area = 40 squared

This means,

πr² = 40

r² = 40/3.14

r² = 12.74

r = √12.74

r = 3.6

Laurens:

r = 4 x 3.6

r = 14.3

Area = πr²

Area = 3.14 x 14.3 x 14.3

Area = 642

Thus,

Laurens's circle area is 642 squared.

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For the equation  Y=5+3x the solution for x is (y-5)/3=x.

Two or more expressions with an Equal sign is called as Equation.

The given equation is Y=5+3x

y equal to five plus three times of x

In the given equation x and y are the variables.

We have to solve for variable x.

Subtract 5 from both the sides

y-5=3x

Divide both sides by 3

(y-5)/3=x

Hence, for the equation  Y=5+3x the solution for x is (y-5)/3=x.

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Answer:

A and D

Step-by-step explanation:

Given the function:

[tex]\displaystyle{f(x)=\sqrt{5-x^2}}[/tex]

In order to find the first-order derivative of square root function, we have to convert the form of surd to exponent form. Therefore:

[tex]\displaystyle{f(x)=\left(5-x^2\right)^{\frac{1}{2}}}[/tex]

Since the exponent is a constant and that the base is an expression with variable, we can apply the chain rule (power rule variation):

[tex]\displaystyle{f(x) = u^n \to f'(x) = nu^{n-1} \cdot \dfrac{du}{dx}}[/tex]

Therefore:

[tex]\displaystyle{f'(x)=\dfrac{1}{2}\left(5-x^2\right)^{\frac{1}{2}-1} \cdot \dfrac{d}{dx}\left(5-x^2\right)}\\\\\displaystyle{f'(x)=\dfrac{1}{2}\left(5-x^2\right)^{\frac{1}{2}-\frac{2}{2}} \cdot \dfrac{d}{dx}\left(5-x^2\right)}\\\\\displaystyle{f'(x)=\dfrac{1}{2}\left(5-x^2\right)^{-\frac{1}{2}} \cdot \dfrac{d}{dx}\left(5-x^2\right)}[/tex]

Deriving 5 - x²:

[tex]\displaystyle{\dfrac{d}{dx}\left(5-x^2\right) = 0 - 2x^{2-1}}\\\\\displaystyle{\dfrac{d}{dx}\left(5-x^2\right) = -2x}[/tex]

Thus:

[tex]\displaystyle{f'(x)=\dfrac{1}{2}\left(5-x^2\right)^{-\frac{1}{2}} \cdot (-2x)}\\\\\displaystyle{f'(x)=\dfrac{1}{2}(-2x)\left(5-x^2\right)^{-\frac{1}{2}} }\\\\\displaystyle{f'(x)=-x\left(5-x^2\right)^{-\frac{1}{2}} }[/tex]

You can also convert to the square root form of:

[tex]\displaystyle{f'(x)= \dfrac{-x}{\sqrt{5-x^2}}}[/tex]

Therefore, A and D are correct.

The total revenue can be calculated as "2.50a" dollars.

What is the dozen?

A dozen is a grouping of twelve objects, shapes, or numbers. It is abbreviated as doz or dz. Dozen is one of the most primitive customary units of numbers. The number system with the base number 12 is called duodecimal or dozenal.

In this scenario, Adam is selling pencils in dozens and the price he charges for each dozen is $2.50.

To calculate the total revenue, we need to multiply the number of dozens sold (represented by "a") with the price per dozen ($2.50).

The expression "2.50a" represents this calculation, where "a" represents the number of dozens sold and "2.50" represents the price per dozen.

Hence, the total revenue can be calculated as "2.50a" dollars.

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Answer:

x³ - 4x² + 3x - 8. is the answer.

Answer:

22

Step-by-step explanation:

550x4%=550x0.04=22

Answer:

$22

Step-by-step explanation:

550 x 4% = 550 x 0.04 = $22

The value of quantity demanded at unit price Gh¢10 is 450 units. b. The price to sell 200 units is Gh¢60. c. The price for 0 demand is Gh¢100. d. The quantity demanded at zero price is 500 units.

The link between the quantity demanded for a commodity (the dependent variable) and its price is represented by the demand function (independent variable).

a) At the price of Gh¢10 , then

Qd= 500 - 5P

Qd= 500 -5(10)

Qd= 500-50 = 450 units

The value of quantity demanded at unit price Gh¢10 is 450 units.

b) If there are 200 units,then

Qd= 500- 5P

200 = 500-5P

5P = 500-200

P= 300/5

P= Gh¢60

The price to sell 200 units is Gh¢60

c) if demand is zero, it mens Qd= 0

Qd= 500- 5P

0= 500-5P

5P= 500

P= Gh¢100

The price for 0 demand is Gh¢100.

d) If P= 0, then

Qd= 500-5P

Qd= 500-5(0)

Qd= 500 units

The quantity demanded at zero price is 500 units.

Hence, the value of quantity demanded at unit price Gh¢10 is 450 units. b. The price to sell 200 units is Gh¢60. c. The price for 0 demand is Gh¢100. d. The quantity demanded at zero price is 500 units.

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Answer:

2/36

Step-by-step explanation:

there are a total of 36 possible rolls

and the only to ways to get an 11 on two fair six-sided dice is when it is (5,6) or (6,5)

Velocity of tugboat is -5 miles/hour .

The velocity of an object is the change in position (displacement) over a time interval. Velocity includes both speed and direction, thus velocity can be either positive or negative while speed can only be positive.

Given,

Displacement by tugboat = - 1.5 miles

Time taken in travelling = 0.3 hours

Velocity = Displacement/ Time

              = - 1.5 / 0.3

              = - 5 miles/hours

Hence, -5 miles/hour is Velocity of tugboat.

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Answer:

y = 4

Step-by-step explanation:

the equation of the midline is the average of the sum of the maximum and minimum values.

maximum value = 6

minimum value = 2

then

y = (6 + 2) ÷ 2 = 8 ÷ 2 = 4

y = 4 ← equation of midline

Answer:

Below

Step-by-step explanation:

1/16    is     1  ÷  16     use calculator to find = .0625

Answer:

1.06

Step-by-step explanation:

Step 1: divide numerator (1) by the denominator (16):

1 ÷ 16 = 0.0625

Step 2: add this value to the integer part:

1 + 0.0625 = 1.0625. So,

1 1/16 = 1.0625

The cosine of the angle  θ  is 8/17 whose terminal side passes through the given point

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent

Given here: The terminal side goes through the point (8/17, -15/17)

Thus we have cosθ =8/17 and sin θ =-15/17

now tan θ =sinθ /cosθ

         tanθ    = -15/8

               θ = -61.9275

Hence, cosθ =8/17

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Answer:

The task is to calculate the total amount spent by Mr. Spendalot. To do this, you need to calculate the amount of inventory purchased, apply the discount, calculate the sales tax, and add the tip. Here's one way to do it:

Calculate the amount of inventory purchased: 31% of $1,000,000 is 31/100 * $1,000,000 = $310,000

Determine the discount: Based on the purchase amount of $310,000, Mr. Spendalot qualifies for a discount of 10%. So, the discount is $310,000 * 10% = $31,000.

Calculate the sales tax: 8.5% of the purchase amount after discount is 8.5/100 * ($310,000 - $31,000) = $2,067.50

Add the tip: 15% of the purchase amount after discount and sales tax is 15/100 * ($310,000 - $31,000 + $2,067.50) = $52,101.13

Calculate the total: The total amount spent by Mr. Spendalot is ($310,000 - $31,000 + $2,067.50 + $52,101.13) = $393,168.63.

So, the total amount spent by Mr. Spendalot is $393,168.63.

Step-by-step explanation:

Determine the amount of purchase before discount: Mr. Spendalot bought 31% of Mr. Shine's inventory, which is $1,000,000. Therefore, his purchase before discount is 31% of $1,000,000, or $310,000.

Calculate the discount: Based on the information in the discount table, Mr. Spendalot's purchase qualifies for a 40% discount. Therefore, the discount amount is $310,000 * 40%, or $124,000.

Determine the amount of purchase after discount: After getting the 40% discount, Mr. Spendalot's purchase is $310,000 - $124,000, or $186,000.

Calculate the sales tax: Mr. Shine charged an 8.5% sales tax on Mr. Spendalot's purchase after discount. Therefore, the sales tax amount is $186,000 * 8.5%, or $15,791.

Determine the tip: Mr. Spendalot gave Mr. Shine and his staff a 15% tip on his purchase after discount and sales tax. Therefore, the tip amount is $186,000 + $15,791 * 15%, or $31,328.

Calculate the total cost: Adding up the purchase after discount, sales tax, and tip, we get the total cost of $186,000 + $15,791 + $31,328, or $233,119.

Conclusion: Mr. Spendalot's total purchase cost is $233,119.

The task requires you to calculate the total amount spent by Mr. Spendalot at Mr. Shine's store Ice Box. Mr. Shine has an inventory worth $1,000,000 which he marks up by 150%. Mr. Spendalot bought 31% of this inventory, and was given a discount based on the amount he spent:

Spend 100k+ and get 10% off

Spend 250k+ and get 20% off

Spend 500k+ and get 30% off

Spend 750k+ and get 40% off

Spend 1 million+ and get 50% off

After the discount, Mr. Spendalot was charged 8.5% sales tax. He also left a 15% tip for Mr. Shine and his staff. Your goal is to calculate the total amount spent by Mr. Spendalot.

The value of the sum of the series is are 315, 1600 and 104

In an arithmetic series, the sum of the first "n" terms (Sn) is given by the formula:

Sn = n/2 * (a1 + an)

Where "a1" is the first term and "an" is the nth term.

For the first series, we have

In this series, a1= 3 , an= 42 , n= 14

Plugging these values into the formula, we get:

Sn = 14/2 * (3 + 42)

Sn = 315

For the second series, we have

In this series, a1= −20 , n= 25 , an= 148

Plugging these values into the formula, we get:

Sn = 25/2 * (-20 + 148)

Sn = 1600

For the third series, we have

In this series, a1=5 , d=1/2 , n=13

So, we have

an = a + (n - 1)d = 5 + 12 * 1/2 = 11

Plugging these values into the formula, we get:

Sn = 13/2 * (5 + 11)

Sn = 104

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Answer:

3hrs to paint by Mary

8hr for Brian to paint

so together, Brian and Mary mean you add the two

together 3hrs

and 8hrs

equals 11 hrs

3+8=11

Therefore , the solution of the given problem of linear equation comes out to be  x = 21.75.

A linear regression curve is built on the equation y=mx+b. The y-intercept is m, and the slope is B. The previous sentence is sometimes referred as a "mathematical equation merging multiple variables," even if y or y are independent parts. The only variables in bivariate linear equations are two. There are no known solutions to application issues involving linear equations. Y=mx+b, also written as mx+b, is the expression for a straightforward system of equations.

Here,

Given :

From a mixed number, you must convert it to a decimal number. You can do this by following the instructions below:

In order to start, you must reduce the fraction's denominator by its numerator.

Step 2: You must now multiply the resulting quotient by the whole number component.

You therefore obtain:

=> 7 1/4 = 7 + 0.25 = 7.25

The scale picture that transforms "Figure a" into "Figure b" is then: 1: 71

The specified length of the appropriate side of "Shape a" must then be multiplied by in order to determine the value of "z."

The outcome is as follows:

=>x = (3)(7.25)

=> x = 21.75

Therefore , the solution of the given problem of linear equation comes out to be  x = 21.75.

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The complete question is "Figure a is a scale image of figure b the scale that maps figure a onto figure b is 1:7 1/4 enter the value of x

Both figures are triangles

Figure a is smaller than figure b

Figure a to the right has a 3

Figure b to the right has a x"

Quadrilaterals are objects with four sides, such as parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

Sum of all interior angles of quadrilateral [tex]$=360^{\circ}$[/tex]

[tex]& \therefore 50+130+120+\mathrm{x}=300 \\[/tex]

[tex]& \mathrm{x}=60^0[/tex]

(b) [tex]& 90+a=180 \\[/tex]

a = 90

Sum of all angles of quad = 360

[tex]& x+70+60+90=360 \\[/tex]

[tex]& x=140^{\circ}[/tex]

(c) [tex]70+\mathrm{a}=180$ (Linear pair)[/tex]

a = 110

[tex]60+\mathrm{b}=180$ (Linear pair)[/tex]

[tex]$\mathrm{b}=120$[/tex]

Sum of measures of all angles of pentagon [tex]$=540^{\circ}$[/tex]

[tex]& \therefore 120+110+\mathrm{x}+\mathrm{x}+30=540 \\[/tex]

[tex]& 2 \mathrm{x}=280 \\[/tex]

[tex]& \mathrm{x}=140^{\circ}[/tex]

(d) Sum of all angles of pentagon 540

Given all angles are equal

[tex]& \therefore 5 x=540 \\[/tex]

[tex]& x=108^0[/tex]

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well, we can simply find how much for each tulip in each store.

store left has them for £9.8 for 4, that means 9.8 / 4 = 2.45, so £2.45 for each tulip.

store right had them for £4.2 each, but they went down by 1/3, so hmm a whole is 3/3 so if we take away 1/3 from 3/3, 3/3 - 1/3 = 2/3, so the new discounted price is really 2/3 of £4.2, that's (2/3) * 4.2 = 2.8, so £2.8 each.

so store left has them cheaper, doesn't matter at a dozen or less or more.

how much is it at store left for 12?  12 * 2.45 = 29.4, or £29.4.

There is not enough information to know whose Tennis ball would go further. Option D.

We know that the projectile is an object that can be able to move along a parabolic path. In this case, we have a catapult which the energy that launces forth the projectile is derived from the energy that have been stored in the spring of the catapult.

A catapult is a type of projectile weapon that uses mechanical energy to launch a projectile over a long distance as we can see in this problem.

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Something can be described as a function if there is only 1 of each number in the input or x.

For example: (9,6) and (9,3) would not be a function because there are two 9’s as the input.

So, for this problem there are two 3’s meaning this is NOT function because there are two outputs for the same number.

Your answer is going to be D.

The number of students that have been to Germany or Spain but not France is given as follows:

18.

The amounts are obtained considering the Venn diagram in the problem.

For the 20 students that went to Spain, we have that:

Hence the value of x is obtained as follows:

x + 3 + 3 + 6 = 20

x + 12 = 20

x = 8.

The number of people who have gone to Spain or Germany but not France is given as follows:

6 + 4 + 10 = 18.

(or means at least one of Spain or Germany).

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Answer:

7

Step-by-step explanation:

When graphed, a linear equation always produces a straight line since each element in the equation has an exponent of 1.

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3 or x∈(−∞,3)

At x=3, the lines y=3x-2 and y=2x+1 will both intersect.

The dark line unmistakably depicts the 3x-2<2x+1 solution.

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The surface area of a right rectangular prism is 250 m².

Option C is the correct answer.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

From the figure,

Width = w = 5 m

Height = h = 5 m

Length = l = 10 m

The surface area of a right rectangular prism.

= 2 (lw + lh + wh)

= 2 (10 x 5 + 10 x 5 + 5 x 5)

= 2 (50 + 50 + 25)

= 2 (125)

= 2 x 125

= 250 m²

Thus,

250 m² is the surface area of a right rectangular prism.

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Answer:

250m 2

I hope this helps <3

If the temperature dropped 22 degrees to -13 Degrees F, the temperature before the drop was 9 Degrees F.

Temperature drop refers to a decrease in the temperature of a system or environment.

This decrease can be measured in units of temperature such as degrees Celsius or Fahrenheit, and it can occur due to a variety of reasons such as changes in atmospheric conditions, the loss of heat from a body or system, or other physical processes.

The initial temperature is calculated by

initial temperature = final temperature + temperature drop

initial temperature = -13 + 22

initial temperature = 9

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Answer:

h(6) = 13

Step-by-step explanation:

Functions! One of my favorites to answer :)

h(x) = 2x + 1

So, now we plug in h(6). Remember that when we replace the x with the number, we replace it in the right side of the equation as well:

h(6) = 2(6) + 1

Now we multiply 2 * 6:

h(6) = 12 + 1

Now 12 + 1:

h(6) = 13, final answer.

Hope this helps :D

Answer: 13

Step-by-step explanation:

h(x) = 2(x) + 1

h(6) = 2(6) + 1 = 12 + 1 = 13

The area enclosed by the track is 7,530.64 m².

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know, The area of a circle is πr² and the area of a rectangle is (length×width).

By observing the diagram the total area enclosed by the track is the

sum of the area of a rectangle having a length of 104m and a complete circle having a diameter(2r) of 52 m and the diameter is equal to the width of the rectangle.

Therefore, The area of the track is,

= (104×52) + π(26)².

= 5408 + 2,122.64 m².

= 7,530.64 m².

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After performing the operation on the given number we get the fraction 3/2

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given here: multiplication of a whole number 3 and the fraction 1/2

When you multiply two fractions together, you're taking a part of a part. When you multiply a fraction by a whole number, you're taking multiple copies of that fraction. In both cases, the result is a new fraction that represents a different part of a whole.

Thus we have the following after simplifying

3×1/2=3/2

Hence, The required fraction is 3/2

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Step-by-step explanation:

I just answered this.

the first group is consistent independent, because both equations are lines with different slope. so, they have 1 intersection, which is the solution.

the second group is consistent dependent, because both equations describe the same line.

multiply the second equation by -2, or divide the first equation by -2, and you see they are identical. multiplying an equation by a factor on both sides does not change the equation or function.

so, as both lines are identical, every point on the line is an intersection and solution. therefore, there are infinitely many solutions.

the third group is inconsistent.

they represent 2 lines with identical slope but different y-interceptions. so, they are parallel and have no intersection or solution at all.

just think : there is no pair of numbers x,y, for which their sum can have 2 different results.