Find the amount of tax and the tax rate. Round to nearest hundredth of a percent . Cost of item: $118 Selling price: $132.37 Tax Amount: $ Tax Rate percentage%​

Answer: D. 16.33

Step-by-step explanation:

Answer:

The mean would be 45. But since that's not a option it might be C. The value of the mean would remain the same at about 46.

Step-by-step explanation:

Answer:

  (c)  The value of the mean would remain the same at about 46.

Step-by-step explanation:

You want to know how the mean of the given list would change if a value of 45 were added to the list.

The mean is the sum, divided by the number of items being summed. The calculator shows the mean of the given numbers is about 46 1/6.

This means the sum is (46 1/6)·12 = 554.

Adding 45 to the list would make the sum be 599, and the mean would change to ...

  599/13 ≈ 46.08

The value of the mean remains the same at about 46.

__

Additional comment

The added value is 46 1/6 -45 = 1 1/6 below the mean. Adding this value changes the mean by (-1 1/6)/13 = -7/78 ≈ -0.0897, so the nearest integer to the mean does not change.

Answer: Area of Cylinder = 753.982

Step-by-step explanation:

Given:

h = 7 cm

r = 8cm

Formula for cylinder:

A = (Perimeter of base) x height + 2 (Area of Base)

Breakdown:

Perimeter of base = 2\(\pi r\)

Perimeter of base = 2 \(\pi\) (8)

Perimeter of base = 50.2655

Area of Base = \(\pi r^{2}\)

Area of Base = \(\pi 8^{2}\)

Area of Base = 201.0619

Area of Cylinder = (Perimeter of base) x height + 2 (Area of Base)

Area of Cylinder = (50.2655)(7) +2(201.0619)

Area of Cylinder = 753.982

Rachel is paid an hourly wage for her work. Rachel's total earnings for the next day at the same hourly rate will be $55.25.

Hourly employees are paid at a fixed hourly rate multiplied by the number of hours worked within a pay period.

To begin, calculate the total amount of time worked by multiplying the number of weeks in a year by the number of hours worked per week (52). Divide this total by the annual wage.

Rachel earned for working 4 hours at her job = 34.

It is necessary to earn for 6.5 hours the following day.

So,

Rachel's average wage or earnings per hour will be.

= 34/4

= 8.5

While working, Rachel made $8.5 per hour.

So,

Given the same hourly rate, the next day's earnings for 10 hours will be.

= 8.5 * 6.5

= 55.25

Rachel is paid an hourly wage for her work. Rachel's total earnings for the next day at the same hourly rate will be $55.25.

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The value of angle x in the triangle is 15°

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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Answer:

85 cents

Step-by-step explanation:

Let a represent the price of pineapples

Let p represent the price of peaches

74p + 9a= 14p + 21a

p = 17 cents

Substitute 17 for p

74(17) + 9a = 14(17) + 21a

1258+9a= 238+21a

1258-238= 21a-9a

1020= 12a

a= 1020/12

a= 85

Hence the price of pineapples is 85 cents

The length of the measurements are;

EF = 7. 1 units

DE = 7. 0 units

Using the sine trigonometric identity, we have that;

sin θ = opposite/hypotenuse

Given that;

Opposite side = DE

Hypotenuse = DF

Substitute the values

sin 45 = DE/10

Find the value and substitute

DE = 0. 7071(10)

DE = 7. 0

Using the Pythagorean theorem;

EF² = 10² - 7²

find the square value

EF = √ 51

EF = 7.1

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The given function is

When we divide f by (x - 4) the remainder is 35

That means If we substitute x by 4, the answer should be 35

Then we have to equate x - 4 by 0 first, to get the value of x = 4

Then substitute x by 4 and equate the answer by 35

Solve the equation

Subtract 51 from both sides

Divide both sides by 4

The value of k is -4

the domain =  [1,∞) and range = [4 , ∞) for the given equation.

What is domain and range?

The set of all doable values that qualify as inputs to a operate is understood because the domain of the operate, or it may also be outlined because the entire set of values doable for freelance variables.

The set of all the outputs of a operate is thought because the vary of the operate or when subbing the domain, the whole set of all values attainable as outcomes of the variable.

Main body:

Given equation =

y=8x-4

as x is the number of days

and,y is the weight of the plant.

so x can not be negative

hence the domain of x = [1,∞)

As x is positive , y can not be negative as well.

Hence the domain =  [1,∞) and range = [4 , ∞)

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Answer:

32/3 or 2 10/3

Step-by-step explanation:

8 x 1 1/3

8/1 x 4/3

32/3 =10 2/3

Answer:

The answer is C

Step-by-step explanation:

c.  8√(2^4 )

given 2^(4/8)  can be written as 2^(4×1/8)  

eg: 2^(1/2) is √2 hence same rule we can apply here and since 2^(1/8) we can write as 8√2 and given 2^4

further knowledge: so if asked to expand more we can write it as 8√16 simplifying this further we get 2^(1/2) which is actually √2

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Answer: The answer is B

Step-by-step explanation:

( 2 + 2 ) divided by ( 5 + 4)  is the same as 4/9 which is also the same as 2/9 + 2/9 which equals 4/9.

Answer:

\((4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)\)

Step-by-step explanation:

We have the two points: (4, -3) and (x, 2).

We know that the distance between them is √39.

To find our x-coordinate of the second point, we can use the distance formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)

Let (4, -3) be (x₁, y₁) and let (x, 2) be (x₂, y₂). We also know that the distance d is √39. Substitute:

\(\sqrt{39}=\sqrt{(x-4)^2+(2-(-3))^2\)

Solve for x. First, let's square both sides. This cancels out the square roots:

\(39=(x-4)^2+(2+3)^2\)

Evaluate the second term on the right:

\(39=(x-4)^2+(5)^2\)

Square:

\(39=(x-4)^2+25\)

Subtract 25 from both sides:

\(14=(x-4)^2\)

Take the square root of both sides. Since we're taking an even root, we need plus/minus. So:

\(x-4=\pm\sqrt{14}\)

Add 4 to both sides:

\(x=4\pm\sqrt{14}\)

Therefore, there exists two possibilities for our second point. It can either be:

\((4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)\)

And we're done!

Answer:

your final answer include all of your calculations

Step-by-step explanation:

given triangle abc find the values of x and y in your final answer include all of your calculations

Answer:

672

Step-by-step expl

The total number of slices in 6 kg oranges will be equal to 672 slices.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

1 dozen = 1.5 kg

Then, in 6 kg there will be how many dozens,

Let there be x dozens in 6 kg.

x = 6/1.5

x = 4 dozen.

One dozen oranges = 12 oranges.

So, the number of oranges in 4 dozens = 12 × 4 = 48 oranges.

1 orange = 14 slices

Then, 48 orange = 48 × 14 = 672 slices.

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Answer:

is it a decimal

Step-by-step explanation:

Answer: It’s .7293 or 7293

the answer is 1961.6

if you need a remainder, it is 1961 r9

7.-

Equation for Neil P = 80 + 3m

Equation for Barry P = 230 + 2m

8.-

Neil P = 80 + 3(100)

P = 80 + 300

P = $380

Barry P = 230 + 2(100)

P = 230 + 200

P = $430

10.-

P = 80 + 3m

P = 230 + 2m

80 + 3m = 230 + 2m

3m + 2m = 230 - 80

m = 150

Answer:

Step-by-step explanation:

You want to know how long Hoang and Bill have worked at the hospital if Hoang has worked there 5 years longer, and 5 years ago that was twice as long as her friend Bill.

Hoang's longevity will be twice Bills when Bill's is equal to the difference. That is, 5 years ago, Bill had been there 5 years and Hoang had been there 10 years.

Now, each has been there 5 years longer, so ...

If h represents Hoang's time at the hospital, 5 years ago it was (h-5). Currently, Bill's time at the hospital is (h-5), and 5 years ago it was (h-10). The relation between the times 5 years ago is ...

  (h -5) = 2(h -10)

  15 = h . . . . . . . . . . add 20-h to both sides

  h-5 = 15 -5 = 10 . . . . Bill's time at the hospital

Hoang and Bill have been at the hospital 15 years and 10 years, respectively.

Answer:

4.) 7 : 4 = 36[g] : x [g]

    7 * x [g] = 4 * 36 [g]

    7 * x [g] = 144 [g]

    x [g] = 144 [g] / 7

    x [g]  ≈ 20, 57 [g]

5.) 3:2   250

3x + 2x =250

5x=250

x=50

3x=3*50=150

2x=2*50=100

Answer:

The number of students who took English and History, but not Math is 143.

Step-by-step explanation:

Denote the subject choices as follows:

M = a students was taking Math

E = a students was taking English

H = a students was taking History

The data provided is as follows:

N (M) = 257

N (E) = 282

N (H) = 323

n (M ∩ E) = 154

n (M ∩ H) = 171

n (E ∩ H) = 143

n (M ∩ E ∩ H) = 80

Consider the Venn diagram below.

From the provided data and the Venn diagram the value of the set E and H minus M is 143.

Thus, the number of students who took English and History, but not Math is 143.

The center and radius of the circle with equation (x – 14)2 + (y – 2)2 = 9 is  (14, 2), r = 3, the correct option A.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)^2 + (y-k)^2 = r^2

We are given that;

The equation of circle=  (x – 14)2 + (y – 2)2 = 9

Now,

We know the equation of a circle with center (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

Comparing the given equation to this form, we can see that the center of the circle is (14, 2) and the radius is √9 = 3.

Therefore, by the given equation of circle answer will be (14, 2), r = 3.

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Answer:

The commutative property of addition says that changing the order of addends does not change the sum.

(a+b)+c = a+ (b+c)

( -8 + -7) + 6 = -8 + ( -7 + 6)

-15 + 6          =   -8 + -1

-9                  =  -9

Answer:

Hence, proved (a+b) + c = a + (b+c)."

Step-by-step explanation:

first take left hand side and insert the values of a, b, and c and similarly than take right hand side.

L.H.S

(a+b)+c

(-8+(-7))+6

(-8-7)+6

-15+6

-9

R.H.S

a+(b+c)

-8+(-7+6)

-8+(-1)

-8-1

-9

hence, proved (a+b) + c = a + (b+c)."

Answer:

Length = 10.81 m

Width = 5.69 m

Step-by-step explanation:Let the width of the room be .

As per question, length is 1.9 times its width.

Therefore, length is,

Perimeter is 33 meters.

Perimeter is given as,

Therefore, width of the room is 5.69 m.

Length of the room is,

Therefore, the length of the room is 10.81 m.

your welcome

A central angle in a circle measures 52 degrees. 13° is the measure of an inscribed angle that intercepts the same arc.

An arc's inscribed angle is the angle that it occupies at any given point on the circle. The angle created when two chords cross on a circle's interior is known as a "inscribed angle" in geometry. The angle formed at a specific location on the circle by two specified points on the circle can also be used to define it. Two chords of the circle that share an endpoint define an inscribed angle in the same way.

Half of the size of the central angle that corresponds with the intercepted arc makes up the size of an inscribed angle. An inscribed angle's measurement is equal to half of its intercepted arc's measurement.

Thus, central angle = 52°

so, intercepted arc = 26°

hence, inscribed angle = 13°

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Answer:

  9.38 ft (4th side, 2nd side) by 23.45 ft

Step-by-step explanation:

You want the dimensions of the enclosure of minimum cost for an area of 220 ft² when fence for three sides cost $4/ft and the fourth side costs $16/ft.

Sides 1 and 3 will have the same dimension (x), so will cost a total of ...

  4x +4x = 8x

Sides 2 and 4 will have the same dimension (y), so will cost a total of ...

  4y +16y = 20y

The area of the enclosure is ...

  xy = 220   ⇒   y = 220/x

The minimum cost enclosure will have its cost evenly distributed between orthogonal pairs of sides. That is, the total cost of the front+back will be equal to the total cost of the left+right.

For minimum cost, we have ...

  8x = 20y

  8x = 20(220/x) . . . . . substitute for y

  8x² = 4400 . . . . . . . multiply by x

  x² = 550 . . . . . . . . divide by 8

  x ≈ 23.45 . . . . . . square root

  y = 220/√550 ≈ 2/5(23.45) ≈ 9.38

The front and back dimensions are about 23.45 ft. The left and right dimensions are about 9.38 ft, with the most expensive fence being on the right side (side 4).

__

Additional comment

The graph shows the total cost to be about $375.23.

The problem can also be solved by writing an equation for the total cost, then differentiating it to find where the derivative is zero with respect to one or the other of the dimensions. The result will be the same.

  c = 8x +20(220/x)

  c' = 8 -4400/x² = 0

  x = √550 . . . as above

Once you see the cost ratio is 20 : 8, then you know the side length ratio is 1 : 2.5. That means the short dimension is √(220/2.5) = √88 ≈ 9.38, and the long dimension is 2.5 times that.

This sort of cost optimization problem always has the solution that the cost of one set of parallel sides is equal to the cost of the other (orthogonal) set of parallel sides. This is true even if the enclosure has a missing side, or has additional parallel sides in the form of internal partitions.

Answer:

\(7\)

Step-by-step explanation:

We see that the circle is centered at \((1, 0)\). We know that because it's centered on the x-axis, one of the diameters will lie on the x-axis.

We know that the circle intersects the x-axis at \((8, 0)\). Therefore the radius of the circle is the distance between these points, in this case \(8-1=7\).

So, the answer is \(\boxed{7}\) and we're done!

Answer:

The cut-off dollar amount is $328.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean cost of $328, standard deviation of $82.

This means that \(\mu = 328, \sigma = 82\)

If you want to be in the bottom 50%, what will be the cut-off dollar amount?

The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.

\(Z = \frac{X - \mu}{\sigma}\)

\(0 = \frac{X - 328}{82}\)

\(X - 328 = 0*82\)

\(X = 328\)

The cut-off dollar amount is $328.

(a) The population density in people per square mile is 6.7million (b) the population density in animals per square mile is 1.53million

Population density is defined as a measurement of population per unit land arear.

The given parameters are:

Length and Width of the land:

L=590 miles

W=250 miles

Area of land= Length *width

Area =590*250

Area=147500 m²

Population of people = 990,000 people

Population density = \(\frac{Number of people}{Land area}\)

Population density=\(\frac{990000}{147500}\)

Population Density=6.71million

(b) Population density for animals

population of animals=225,000

Population density = \(\frac{Number of people}{Land area}\)

Population density=225000/147500

population density of animals =1.53million

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The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Formula of force,

F = ma

Given that,

A man pulled a cart filled with stones that had a total mass of 60 kg

He increased the amount of force used to pull the cart from 60 N to 90 N

New acceleration of cart = ?

F  = ma

Old acceleration,

60  = 60a

a   =  1 m/s²

New acceleration,

90 = 60a

a   = 90/60

a   =  3/2

a   =  1.5 m/s²

Hence, the new acceleration is 1.5 m/s²

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