pre calc help please

Pre Calc Help Please

Answers

Answer 1

The area of the shape in the polynomial form will be 10x² + 54x.

What is the area?

The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

The area of the shape will be the sum of the two triangles and two rectangles. Then we have

A(x) = (1/2)(10x - 8x)(x + 4) + (8x)(x + 4) + (x + 13 - x - 4)(2x) + (1/2)(2x)(x)

A(x) = x² + 4x + 8x² + 32x + 18x + x²

A(x) = 10x² + 54x

The area of the shape in the polynomial form will be 10x² + 54x.

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Related Questions

q12 ANSWER FOR 50 POINTS AND BRAINLIST

Answers

Initial Me charges $8 per T-shirt printed.

Monogram Mania charges less per T-shirt printed than Initial Me charges.

How determine which statements are true about Initial Me and Monogram Mania?

Let's examine the linear graph:

The two companies will cost the same if 10 T-shirts are purchased and the cost is 130.

The initial fee charged by Initial Me is $50.

The initial fee charged by Monogram Mania is $80.

Note: The y-intercept of the graph is the initial fee

The slope of the lines will give the cost per T-shirts (unit rate)

Initial Me: slope = (130-50)/(10-0) = 80/10 = $8

Monogram Mania: slope = (130-80)/(10-0) = 50/10 = $5

Thus, Initial Me charges $8 per T-shirt printed while Monogram Mania charges $5 per T-shirt printed.

This implies Monogram Mania charges less per T-shirt printed than Initial Me charges.

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Question 2 (1 point)
The two rectangles are similar. Which is the correct proportion for corresponding sides?

Answers

The solution is Option D.

The proportion for the similar rectangles is given by the equation

12/4 = 24/8

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

Let the length of the first rectangle be = L₁

Let the width of the first rectangle be = W₁

Let the length of the second rectangle be = L₂

Let the width of the second rectangle be = W₂

The two rectangles are similar ,

So , the proportion is given by

Length of the first rectangle : width of the first rectangle : : length of the second rectangle : width of the second rectangle

Substituting the values in the equation , we get

L₁ / W₁ = L₂ / W₂

12 / 4 = 24 / 8

On simplifying the equation , we get

3 = 3

Therefore , the value of A is 12 / 4 = 24 / 8

Hence , the proportion is 12 / 4 = 24 / 8

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A stack of nested paper cups is 8 inches tall. The first cup is 4 inches tall and each of the rest of the cups in the stack adds of an inch to the height of the stack. How many cups are in this 1 4 stack?

Answers

Answer: answer is 20

Step-by-step explanation: 4+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1=20

The ________ symbol indicates that some condition must be tested in a flowchart.
Rectangle
Square
Oval
Diamond
Parallelogram

Answers

Answer: diamond

Step-by-step explanation:

The diamond symbol is used to indicate a condition that must be tested in a flowchart. It is used to represent a decision point, where the flow of the process will depend on the outcome of the test. The diamond symbol is typically used in conjunction with other symbols, such as arrows or ovals, to show the flow of the process.

Evaluate the coordinate points (x,y) for the function y = f(x) = -1.25x -0.25 where x=-1 then y=?

Answers

Substituting the value of x and solving the function we get the value of y as y = 1

To evaluate the co-ordinate point (x, y) for the function

y = f(x) = -1.25x -0.25,

you need to substitute the value of x into the function and solve for y.

If x = -1,

then y = f(-1) = -1.25×(-1) - 0.25 = 1.25 - 0.25 = 1.

Therefore, the coordinate point (x, y) for the function:

y = f(x) = -1.25x - 0.25 when x = -1 is (-1, 1).

A function in mathematics is a collection of values connected by a predetermined rule or formula. The output value (also known as the dependent variable) is represented by a letter or a symbol that depends on the input value, whereas the input value (also known as the independent variable) is represented by a letter (such as x or y). Functions are frequently used to represent relationships between several numbers or to simulate real-world occurrences.

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Math on the Spot Garrett is 8 years old. He and his family are going to the county fair. What is the price of admission for Garrett , his 2 parents , his grandmother, and his baby sister?

Answers

The cost of admission for Garrett, his 2 parents, his grandmother, and his baby sister would vary depending on the county fair and their individual ages.

What is cost?

Cost is the monetary value of goods, services, or resources in exchange for money. It is the amount of money paid for goods or services, which includes all expenses incurred in the purchase or production of goods or services. Cost is determined by the sum of the total expenses involved in producing or acquiring a good or service. Cost is a major factor in decision-making, as it affects both the cost of production and the price of goods and services.

Generally, most county fairs charge a reasonable rate for children and seniors, and a slightly higher rate for adults.

For Garrett, he would likely qualify for the children's rate, which could range from free to around $10. For the 2 parents and the grandmother, the adult rate would likely apply, which is usually around $15. For the baby sister, some county fairs offer free admission for children under a certain age, while others offer a discounted rate.

Therefore, the total cost of admission for Garrett, his 2 parents, his grandmother, and his baby sister could range from free to around $50, depending on the county fair and the individual ages.

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expert that helps you learn core concepts.
See Answer
A(n) ___________ solution satisfies all the constraint expressions simultaneously.
a.feasible
b.objective
c.infeasible
d.extreme

Answers

A problem is said to be infeasible if no solution exists which satisfies all the constraints.

Objective function: the expression that defines the quantity to be maximized or minimized in a linear programming model. Constraints: restrictions that limit the settings of the decision variables.

When it comes to linear programming, the solution which would be effective in satisfying all constraints in the given program in a simultaneous matter is called that of feasible programming. This is due to the fact that the program can satisfy all requirements at the same time.

Linear programming, also known as linear optimization, is a method for achieving the best result in a mathematical model with requirements represented by linear relationships. Linear programming is a special case of mathematical programming.

In linear programming, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.

Therefore,

A problem is said to be infeasible if no solution exists which satisfies all the constraints.

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Penelope determined the solutions of the quadratic function by completing the square.

f(x) = 4x2 + 8x + 1
–1 = 4x2 + 8x

–1 = 4(x2 + 2x)

–1 + 1 = 4(x2 + 2x + 1)

0 = 4(x + 2)2

0 = (x + 2)2

0 = x + 2

–2 = x

What error did Penelope make in her work?

Penelope should have subtracted 1 from both sides instead of adding 1.
Penelope should have subtracted 4 from both sides instead of adding 1.
Penelope should have added 4 to both sides instead of adding 1.
Penelope should have subtracted 8 from both sides instead of adding 1.

Answers

Penelope should have added 4 to both sides instead of adding 1.

And the solution is x = (√3 - 4)/2.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

Penelope determined the solutions of the quadratic function by completing the square.

For that,

f(x) = 4x² + 8x + 1

–1 = 4x² + 8x

–1 = 4(x² + 2x)

Add 4 to both sides,

–1 + 4 = 4(x² + 2x + 1)

3 = 4(x + 2)²

3/4= (x + 2)²

x + 2 = √3/2

x = √3/2 - 2

x = (√3 - 4)/2

Therefore, Penelope should have added 4 to both sides.

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Use technology to find points and then graph the function y=(x-2)^2, following the instructions below

Answers

The five points on the graph are (0, 4), (2, 0), (4, 4) (- 2, 16) and (6, 16).

And, The graph of function y = (x - 2)² is shown in figure.

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The function is,

⇒ f (x) = (x - 2)²

Now, We have to find the value of points on the graph of function.

Here, The function is,

⇒ f (x) = (x - 2)²

Substitute f (x) = 0;

⇒ 0 = (x - 2)²

⇒ 0 = (x - 2)

⇒ x = 2

Hence, Point is, (2, 0)

Put x = 0;

⇒ f (x) = (x - 2)²

⇒ f (x) = (0 - 2)²

⇒ f (x) = 4

Hence, The point is, (0, 4)

Put x = 4;

⇒ f (x) = (x - 2)²

⇒ f (x) = (4 - 2)²

⇒ f (x) = 4

Hence, The points is, (4 4)

Put x = - 2;

⇒ f (x) = (x - 2)²

⇒ f (x) = (-2 - 2)²

⇒ f (x) = 16

Hence, The points is, (- 2, 16)

Put x = 6;

⇒ f (x) = (x - 2)²

⇒ f (x) = (6 - 2)²

⇒ f (x) = 16

Hence, The point is, (6, 16)

Thus, The five points on the graph are (0, 4), (2, 0), (4, 4) (- 2, 16) and

(6, 16).

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7/8- 1/4 ÷ 4/3

A.11/16
B.15/32
C.13/24
D.5/6

Answers

A. 11/16

hope this helps :)))))

Help with math I’ll pay u <3 please :,(

Answers

Answer:

0^5 = x^ 2 + 18

Step-by-step explanation:

I hope am not too late

Graph the equation y = 4 + 0.75x. Find when y when x = 1

Answers

Answer:

4.75

graph picture is attached.

press or click on the picture to see the whole graph

Step-by-step explanation:

put 1 where x is

y = 4 + (0.75*1)

y = 4 + .75

y = 4.75

number next to x is the SLOPE

Triangle
J
K
L
was dilated with the origin as the center of dilation to create triangle ′′′.
J

K

L

.
The triangle was dilated using a scale factor of 12
1
2
.

Which rule represents the dilation applied to triangle
J
K
L
to create its image, triangle ′′′
J

K

L

?

On a coordinate plane, triangle J K L has points (negative 4, 5), (2, 5), (2, negative 5.5). Triangle J prime K prime L prime has points around (negative 2, 2.5), (1, 2.5), (1, negative 3).
CLEAR CHECK

(, )→(12, 12)
x
,

y

1
2
x
,

1
2
y


(, )→(−12, −12)
x
,

y

x
-
1
2
,

y
-
1
2


(, )→(2, 2)
x
,

y

2
x
,

2
y


(, )→(+12, +12)

Answers

The required rule is (x, y) → ( (1/2)x, (1/2)y) represents the dilation applied to the given triangle.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The triangle is given in the question, as shown.

When it comes to transformations, dilation might imply growing or contracting the triangle by a scale factor.

As per the given transformation, the required rule would be

(x, y) → ( (1/2)x, (1/2)y)

Hence, the correct answer would be an option (A).

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m/ABC = 40°and BD is the angle
bisector of ZABC
B
3x-1
34-2x
A
3y+6
D
5y-18
m/ABD = [? ]°

Answers

Answer:

∠ ABD = 20°

Step-by-step explanation:

since BD is the angle bisector of ∠ ABC , then

∠ ABD = ∠ CBD , so

∠ ABD = [tex]\frac{1}{2}[/tex] × ∠ ABC = [tex]\frac{1}{2}[/tex] × 40° = 20°

Kiefer Davis is an architect earning $148,800 a year. He is married and is paid on a biweekly basis. How much is withheld from each paycheck for state taxes?

Answers

Lifter Davis is 1478000

Eve has $16.00​ in gift money and earns $7.00​​ per hour as a lifeguard. Nisha has a job painting houses. The following table shows the number of dollars d​ that Nisha earns working h​ hours.
h d
1 8.60
2 17.20
3 25.80
​While discussing their jobs, Eve and Nisha realize that they have the same amount of money and have worked the same number of hours.

How many hours have they worked:

How much money do they have? Enter your answer as a decimal showing dollars and cents:

Answers

The number of hours they have worked would be = 3hours

The quantity of money each individual has would be = Eve = $48.8, While Nisha = 25.80.

Who is a lifeguard?

A lifeguard is a trained individual who is specialised in swimming skills and whose job is to rescue drowning victims from a swimming pool or beach.

The number of hours both Eve and Nisha worked is the same = 3 hours.

The total amount earned by both at the end of the third hour = $25.80

But for Eve, the total amount of money ;

Eve has $16.00 as gift money and earns $7.00 per hour

16 + 7+ 25.80 = $48.8, While Nisha = 25.80.

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Find the value of x. Round to the
nearest tenth.
12
x= [?]

Answers

Step-by-step explanation:

We use soh,cah,toa

since we where giving the hypotenuse and we are looking for adjacent we use CAH.

cos35=x\12

0.852×12=x

10.23

so therefore to d nearest tenth is 10.2

Please help me I need to do this!!

Answers

Answer:

ur mom

112213917342381

Step-by-step explanation:

2. Use the list below to write the correct term for each definition on the line provided.

axes (of a graph) coordinates coordinate grid intersection number line ordered pair
origin quadrant x-axis
x-coordinate y-axis y-coordinate

a.) the first number of an ordered pair

b.) the second number of an ordered pair

c.) any of four regions formed by the axes in a rectangular coordinate system

d.) the point at which two lines meet

e.) numbers that correspond to points on a graph in the form (x, y)

f.) the intersection of the x-axis and y-axis in a coordinate plane, described by (0,0)

g.) the horizontal and vertical number lines used in a rectangular graph or coordinate grid system as a fixed reference for determining the position of a point

h.) the vertical ( ) axis on a coordinate plane

i.) the horizontal ( ) axis on a coordinate plane

j.) a line on which numbers can be written or visualized

k.) the location of a single point on a rectangular coordinate system where the digits represent the position relative to the x-axis and y-axis Example: (x, y) or (3, 4)

l.) network of evenly spaced, parallel horizontal and vertical lines especially designed for locating points, displaying data, or drawing maps

Answers

a. x-coordinate

b. y-coordinate

c. quadrant

d. intersection

e. ordered pair

f. origin

g. coordinate grid

h. y-axis

i. x-axis

j. number line

k. coordinates

l. axes (of a graph)

What is the axes of a graph?

The axes of a graph are the two lines that define the coordinate system and divide the plane into four quadrants. These lines are called the x-axis and the y-axis. The x-axis is the horizontal line and the y-axis is the vertical line. The point where the two axes intersect is called the origin and is identified by the coordinates (0,0). The x-axis is typically used for the independent variable and the y-axis is used for the dependent variable. When plotting data on a graph, the x-axis is often labeled with the independent variable and the y-axis is labeled with the dependent variable. The axes of a graph provide a reference for determining the position of a point and are used for displaying data and drawing maps.

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Drag the tiles to the correct boxes to complete the pairs. Match each cross section to its area. a cross section passing through the diagonals of opposite faces of a cube with edges that are 7 inches long and a diagonal that is approximately 10 inches a cross section parallel to the base of a cube whose edges are 8 inches long a cross section perpendicular to the base and passing through the diagonals of the base and opposite face of a right rectangular prism that is 24 inches wide, 7 inches long, and 12 inches tall and measures 25 inches along the diagonal of the base a cross section parallel to the base of a right rectangular prism that is 3 inches long, 7 inches wide, and 11 inches tall Area Cross section 21 square inches arrowBoth 64 square inches arrowBoth 70 square inches arrowBoth 300 square inches arrowBoth Reset

Answers

a) A cross-section passing through the diagonals of opposite faces of a cube = 21 square inches.

b) A cross-section parallel to the base of a cube = 64 square inches.

c) A cross-section perpendicular to the base and passing through the diagonals of the base and opposite face of a right rectangular prism = 70 square inches.

d) A cross-section parallel to the base of a right rectangular prism = 300 square inches.

What is a cross-section?

A cross-section is a representation of a three-dimensional object as it would appear if it were sliced by a plane, revealing the internal structure of the object. The resulting shape that is formed is known as the cross-section.

a cross-section passing through the diagonals of opposite faces of a cube with edges that are 7 inches long and a diagonal that is approximately 10 inches = 21 square inches (since it will be a right triangle with legs of 7 inches and hypotenuse of 10 inches)

a cross-section parallel to the base of a cube whose edges are 8 inches long = 64 square inches (since the base will be a square with sides of 8 inches)

a cross-section perpendicular to the base and passing through the diagonals of the base and opposite face of a right rectangular prism that is 24 inches wide, 7 inches long, and 12 inches tall and measures 25 inches along the diagonal of the base = 70 square inches (since it will be a right triangle with legs of 12 inches and 24 inches and hypotenuse of 25 inches)

a cross-section parallel to the base of a right rectangular prism that is 3 inches long, 7 inches wide, and 11 inches tall = 300 square inches (since the base will be a rectangle with length of 3 inches and width of 7 inches)

Hence,

a) A cross-section passing through the diagonals of opposite faces of a cube = 21 square inches.

b) A cross-section parallel to the base of a cube = 64 square inches.

c) A cross-section perpendicular to the base and passing through the diagonals of the base and opposite face of a right rectangular prism = 70 square inches.

d) A cross-section parallel to the base of a right rectangular prism = 300 square inches.

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How do you find the scale factor of a point dilation?

Answers

Answer:

Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. We may determine the scale factor by dividing these distances by 2.

Step-by-step explanation:

-5 is reduced by 2, the result is 26 less than twice the opposite of the number. What is the number

Answers

The number represented in the statement is 19/2

How to determine the number in the scenario

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

Mathematical statement

The mathematical statement is represented as:

-5 is reduced by 2, the result is 26 less than twice the opposite of the number.

Represent the number with x

So, we have

-5 is reduced by 2, the result is 26 less than twice the opposite x

Express reduced by as subtraction

This gives

-5 - 2, the result is 26 less than twice the opposite x

Express the result as an equation

-5 - 2 = 26 less than twice the opposite x

less than here means minus

So, we have

-5 - 2 = -2x - 26

Evaluate the like terms

2x = 19

Divide by 2

x = 19/2

Hence, the number is 19/2

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Parabolas in Standard Form Please Help
Also please include work.

Find the vertex: y=x²+2x+1

Answers

Answer:

vertex = (- 1, 0 )

Step-by-step explanation:

given a parabola in standard form

ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² + 2x + 1 ← is in standard form

with a = 1 and b = 2 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{2}{2}[/tex] = - 1

substitute x = - 1 into y for corresponding y- coordinate

y = (- 1)² + 2(- 1) + 1 = 1 - 2 + 1 = 0

vertex = (- 1, 0 )

Please answer qiuckly

Answers

answer: -10/2 or -5
Equation: y= -5x+ 50

18. Write each of the following numbers in scientific notation b. 984.35 c. 0.0045 a. 4327 d. 624.87 e. 0.1357 f. 98.180004

Answers

Scientific notation is a way of writing numbers that are too large or too small to be conveniently written in the standard form. It involves expression numbers as the product of a number between 1 and 10 and a power of 10. This notation is commonly used by scientists, mathematicians, and engineers.

a. 4.327 x 103

b. 9.8435 x 102

c. 4.5 x 10-3

d. 6.2487 x 102

e. 1.357 x 10-1

f. 9.8180004 x 10-1

When a number is too big or too small to be stated in the conventional form, it can be written using scientific notation.. It involves expressing numbers as the product of a number between 1 and 10 and a power of 10. For example, a number like 4.327 x 103 would be written as 4,327 in standard form. Similarly, 9.8435 x 102 would be written as 984.35 in standard form. While 4.5 x 10-3 would be written as 0.0045 in standard form and 6.2487 x 102 would be written as 624.87 in standard form. Additionally, 1.357 x 10-1 would be written as 0.1357 in standard form and 9.8180004 x 10-1 would be written as 98.180004 in standard form. Scientists, mathematicians, and engineers frequently employ scientific notation.

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Find the length of the diameter if the area is 40.3units 2

Answers

The diameter of the circle is 7.16 units.

What is a circle?

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

The area of a circle is πr².

We have,

We are assuming that the area is given for a circle.

Now,

Area of a circle = πr².

Area of a circle = 40.3 units²

Now,

πr² = 40.3

r² = 40.3/3.14

r² = 12.83

r = √12.83

r = 3.58

The diameter of the circle.

= 2r

= 2 x 3.58

= 7.16 units.

Thus,

The diameter is 7.16 units.

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A point of the form 25 + bi is 37 units from 13 – 31i. what is the value of b? a. 4 b. 6.6 c. 36.6 d. 40.6

Answers

The correct answer is C, 36.6. To solve this problem, use the distance formula to calculate the distance between the two points.

The distance formula is:

d = √((x² - x)² + (y² - y)²)

In this problem, the first point is 13 – 31i and the second point is 25 + bi. Plugging these values into the distance formula, we get:

d = √((25 - 13)² + (b - (-31))²

Simplifying and solving for b, we get:

37 = √(144 + b² + 62)

⟹ 37² = 144 + b² + 62

⟹ b² = 37² - 144 - 62

⟹ b² = 1189

⟹ b = 34.6

Therefore, the value of b is 36.6.

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Answer:

4

Step-by-step explanation:

4 on edge got it right

Ex. 1: Sides & Angles in Parallelograms
Find the missing side lengths and the missing angles in the following parallelograms.

Answers

The angles of the parallelogram are 110° , 70° ,  110° and 70°

The sides are 39 and 27 units.

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure,

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data the parallelogram be represented as ABCD

where

The measure of ∠A = 4y°

The measure of ∠B = ( 6y + 4 )°

The measure of ∠C = 3z°

The measure of ∠D = ( 3y + 37 )°

From the parallelogram theorem , we get

The measure of ∠B = The measure of ∠D   be equation (1)

Substituting the values in the equation , we get

( 6y + 4 )°=  ( 3y + 37 )°

3y = 33

y = 11

Substituting the value of y in equation ( 1) , we get

( 6y + 4 )°= 70

The measure of ∠B  = 70°

So , the measure of ∠B = the measure of ∠D = 70°

The total internal angle = 360°

So , z° + z = 360° - 72° - 72°

2z° = 220°   be equation (3)

z = 110

And , The measure of ∠A = The measure of ∠C = 110°

The sides are ;

2n + 3 = 3n - 15

n = 18

Then ;

2n + 3 = 36 + 3 = 39 unit

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Robert went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $48, but the price with tax came to $50.40. Find the percent sales tax.

Answers

The percent sales tax of the initial price of the sneakers would be = 5%

What is sales tax?

Sales tax is defined as the amount of money that a particular good is being sold after the addition of its consumption tax funds imposed by the government.

The initial amount of the sneakers = $48

The price after tax = $50.40

The increased difference from the former price = 50.40 - 48 = $2.4

The percentage increase would be;

= 2.4/48 × 100

= 240/48

= 5%.

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Julia went shopping for a new pair of pants because of a sale. The store was offering a 35% discount. If the price on the tag was $41, what would be the price after the discount but before tax, to the nearest dollar and cent?

Answers

The price after the discount but before tax including 35% will be $26.65.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Price tag = $41

35% on $41 will be given as,

⇒ (35/100)41 = $14.35

Price after discount = price tag - discount

⇒ $41 - $14.35 = $26.65

Hence "The cost will be $26.65 after the discount but before the 35% tax.".

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