Answers
Initial price of the TV = $899
discount in % = 25 % = 0.25
First, we will find the amount discounted:
[tex]\begin{gathered} Amount\text{ discounted = }25\text{ \% }\times\text{ 899} \\ Amount\text{ discounted = }0.25\text{ }\times\text{ 899} \\ Amount\text{ discounted = \$224.75} \end{gathered}[/tex]sales price after the discount was removed:
[tex]\begin{gathered} sales\text{ price = }initial\text{ price - amount discounted} \\ sales\text{ price = 899 - 224.75} \\ sales\text{ price before }Tax\text{ = \$674.25} \end{gathered}[/tex][tex]\begin{gathered} \text{Sales tax = 8.125 \% = 0.08125} \\ \text{Tax = sales price before tax }\times\text{ sales tax} \\ \text{Tax = 674.25 }\times\text{ 0.08125} \\ \text{Tax = \$}54.78 \end{gathered}[/tex][tex]\begin{gathered} \text{Sales price with tax = sales price before tax + Tax} \\ \text{Sales price with tax = 674.25 + 54.78} \\ \text{Sales price with tax = \$729.03} \end{gathered}[/tex]Related Questions
The quotient x divided by 5 is a negative integer. Name two integers that x could represent and find the quotients.
Answers
If the values of x are -15, -20 and -25, then the solutions are -3, -4 and -5
How to solve for x and the quotients?The statement is given as
The quotient x divided by 5 is a negative integer
This means that:
x is a negative integer and it is a multiple of 5
Represent the statement as an expression
So, we have
x/5
Take for instance:
x = -15, -20 and -25
So, we have
-15/5 = -3
-20/5 = -4
-25/5 = -5
Hence, the possible values of x are -15, -20 and -25
Read more about expressions at
https://brainly.com/question/723406
#SPJ1
Divide.
(6x³+13x²-12x-6)÷(3x+2)
Your answer should give the quotient and the remainder.
Answers
19x/3+2/9 is the quotient and 50 is the remainder for the given equation (6x³+13x²-12x-6)÷(3x+2).
What is Quotient?The result of dividing two numbers is known as the quotient. Six divided by two results in the number three. Latin's "how many times" is the meaning of the word "quotient." That makes perfect sense: by dividing two numbers, you can determine "how many times" the second number enters the first.
What is Remainder?The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). The remainder is the name for this amount.
On dividing the equation,
The quotient will be 19x/3+2/9 and the remainder will be 50.
To know more about division,
https://brainly.com/question/28910743
#SPJ13
A jet travels 1983 miles against a jetstream in 3 hours and 2373 miles with the jetstream in the same amount of time. What is the rate of the jet in still air and what is the rate of the jetstream?Solve using a system of linear equations
Answers
Let:
x = Speed of the jet
y = Speed of jetstream
so:
[tex]1983=3x-3y_{\text{ }}(1)[/tex]and
[tex]2373=3x+3y_{\text{ }}(2)[/tex]Solve the system using elimination method:
[tex]\begin{gathered} (1)+(2) \\ 1983+2373=3x+3x-3y+3y \\ 4356=6x \\ x=\frac{4356}{6} \\ x=726mph \end{gathered}[/tex]Replace x into (1)
[tex]\begin{gathered} 1983=3(726)-3y \\ 1983=2178-3y \\ 195=3y \\ y=\frac{195}{3} \\ y=65mph \end{gathered}[/tex]Answer:
Rate of the jet in still air: 726 mph
Rate of the jetstream: 65mph
which transformation would result in the area of a polygon being different from the area of its pre image
Answers
Answer:
Dilation
Step-by-step explanation:
A dilation is a transformation that will shrink or expand a figure, so the area will change.
What expression is equivalent to y^2/5 if y=0
Answers
IN THE PLACE OF Y PLUG IN 0
[tex] = \frac{( {0})^{2}}{5} \\ = \frac{0}{5} \\ = 0[/tex]
The answer is 0
Roaring Zoo has 68 different species of birds. Because of cold weather, only 24 species stayed at the zoo, while the others were transported to the barn until warmer weather returned.
Which equation shows how many species of birds were transported?
b + 68 = 24
b − 68 = 24
b + 24 = 68
b − 24 = 68
Answers
Answer: b + 24 = 68
Step-by-step explanation:
we are told the zoo has 68 different species of birds so the equation will be = 28. The answers showing = 24 are already wrong.
transported means they are taken away, so we have to subtract 24 (animals that stayed in the zoo) to find b which are the remaining species moved to the barn.
b + 24 = 68
- 24 -24
b = 44 (transported to the barn)
24 ( stayed in the zoo)
68 ( total number of species of birds)
The correct expression to show the species of transported birds will be;
⇒ b + 24 = 68
Where, b is the number of transported birds.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Total number of birds in Roaring Zoo = 68
Number of stayed birds in Zoo = 24
Let number of transported birds = b
Then, We can formulate;
Total number of birds = Stayed birds + Transported birds
Substitute all the values, we get;
⇒ 68 = 24 + b
Therefore,
The correct expression to show the species of transported birds will be;
⇒ b + 24 = 68
Where, b is the number of transported birds.
Learn more about the linear expression visit:
https://brainly.com/question/26310043
#SPJ1
Which balloon is was farther from the town at the beginning, and which traveled more quickly?
Answers
The balloon that was farther from the town at the beginning, and which traveled more quickly is Henry's balloon.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Henry's balloon is 48 miles after 2 hours.
Tasha's balloon after 2 hours will be:
= 8x + 20
= 8(2) + 20
= 32 miles
In this case, Henry's balloon is farther.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Quadrilateral MATH is congruent to quadrilateral WXYZ. Which
statement is always true?
(1) MA - XY
(2) m/H=mZW
(3) Quadrilateral WXYZ can be mapped onto quadrilateral MATH using a
sequence of rigid motions.
(4) Quadrilateral MATH and quadrilateral WXYZ are the same shape, but
not necessarily the same size.
Answers
Answer:
2
Step-by-step explanation:
The true statement is Quadrilateral WXYZ can be mapped onto quadrilateral MATH using a sequence of rigid motions.
What is Congruency?The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
Given:
MATH is congruent to quadrilateral WXYZ.
Then congruent sides are
MA= WX
AT = XY
TH = YZ
and, congruent angles are
<M = <W
<A = <X
<T= <Y
<H = <Z
So, if the quadrilateral is congruent then they equal in measure.
Hence, the true statement is Quadrilateral WXYZ can be mapped onto quadrilateral MATH using a sequence of rigid motions.
Learn more about Congruent here:
https://brainly.com/question/12413243
#SPJ2
The reading rug in Mrs. Shaw s room has a perimeter
of 28 meters. The table gives the length and width of
the rug. If the equation 4(x + 3.3) = 28 can be used to
find the perimeter of the rug, what is the value of x?
Answers
hope that made sense
To write 1 trillion in scientific notation, you would use the
exponent
Answers
Writing 1 trillion in scientific notation is 1 × 10^12.
What is a scientific notation?A scientific notation simply means the way of expressing numbers that are either too large of too small. Scientific notation is a method of expressing numbers that are either too large or too little to be represented in decimal form. In the United Kingdom, it is known as scientific form, standard index form, or standard form.
Scientific notation is a method of displaying very large or very small numbers in a more simplified format. We know that entire numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper. Furthermore, the numbers in the millions place after the decimal required to be represented in a simpler format. As a result, representing a few integers in their expanded form is challenging. As a result, we employ scientific notation.
In this case, I trillion is written as 1,000,000,000,000.
Therefore, it has 12 zeros.
The scientific notation is 1 × 10^12.
Learn more about scientific notation on:
brainly.com/question/1767229
#SPJ1
find the value of the arc shown in red leave ir answer in terms pi
Answers
The arc marked in red is a quarter of the circle's circumference.
Hence the arc marked red subtends an angle of 90degrees.
[tex]\begin{gathered} \text{Given an arc that subtends }\theta\text{ at the center of with radius r} \\ \end{gathered}[/tex][tex]\text{arc length, l = }\frac{\theta}{360}\times2\pi r[/tex]In our case
[tex]\theta=90^o,\text{ r = 6m}[/tex][tex]l=\frac{90}{360}\times2\pi(6)=\frac{1}{4}\times2\pi(6)=3\pi m[/tex]The diagram shows the construction of line PX perpendicular to line l.
Which statement is not always true about this construction?
-1) PA = PB
2) AX = BX
3) PX = CX
4) AC=BC
Answers
We can conclude that after the construction of line PX perpendicular to line l, which creates a square, the correct statement about the construction will be (E) none of these.
What is a square?A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle. A square is a unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).So, after drawing line PX⊥L (AB), and extending PX to the other side to point C.
We can observe that a square is created.(A) PA = PB
It will always be true as all sides of a square are equal.(B) AX = BX
It will always be true as PX⊥L (AB) bisects diagonal Ab in two equal parts.(C) PX = CX
It will always be true as PC is a diagonal of a square with X as the midpoint where both diagonals PC and AB intersect.(D) AC = BC
It will always be true as all sides of a square are equal.Therefore, we can conclude that after the construction of line PX perpendicular to line l, which creates a square, the correct statement about the construction will be (E) none of these.
Know more about square here:
https://brainly.com/question/25092270
#SPJ13
The complete question is given below:
The diagram shows the construction of line PX perpendicular to line l.
Which statement is not always true about this construction?
A) PA = PB
B) AX = BX
C) PX = CX
D) AC = BC
E) Non of these
Can someone pls help
Answers
Answer:
6/4
Step-by-step explanation:
For a RIGHT triangle, Tan = opposite leg / adjacent leg = 6/4 for angle F in this example
A straight line, L2, is parallel to the straight line L1 and passes through the point (0,-5).
Find an equation of the straight line L2.
Answers
Based on the straight line being parallel to the line, L1, and the gradient, the equation of the straight line L2 is y = 2x - 5
How to find the equation of the line?The equation of a straight line takes the form:
y = mx + b
Where:
m = slope
b = y - intercept
The slope is the same as the gradient and parallel lines have the same gradient. The gradient of L2 is therefore 2 as well.
Use this gradient and the point (0, -5) to find the y - intercept:
-5 = 2(0) + y - intercept
y - intercept = -5
The equation of the line is:
y = 2x - 5
Full question is:
A straight line, L2, is parallel to the straight line L1 and passes through the point (0,-5). L1 has a gradient, 2.
Find an equation of the straight line L2.
Find out more on parallel lines at https://brainly.com/question/21865515
#SPJ1
Ray Horton is a laborer. He earns $16.25 per hour. How many hours per week must he work if
he wants to earn approximately $585.00 per week?
Answers
what is a set of relations
Answers
The relation is the relationship between two or more sets of values. Suppose, x and y are two sets of ordered pairs. If set x has a relation with set y, then the values of set x are called domain whereas the values of set y are called range. A relation from a set A to a set B is a subset of A×B. Hence, a relation R consists of ordered pairs (a,b), where a∈A and b∈B. If (a,b)∈R, we say that is related to, and we also write aRb. A connection between the elements of two or more sets is a relation. The sets must be non-empty. A subset of the Cartesian product also forms a relation R. A relation may be represented either by the Roster method or by the Set-builder method.
Circle A is given by the equation (x-4) +(3-3)* = 25. Circle A is shifted up five units and left by six units. Then, its radius is doubled. What is the new equation for circle A? A. (x+2)+(y-2)* = 50 B. (x+2)+(y –8)* = 100 C. (x-2)* +(y+2) = 100 D. (x-2)+(+8)* = 50
Answers
The correct answer is B
A shot-putter throws a shot and its height is noted every 20 feet, the data is in the table below:
Feet Traveled Feet Above Ground
20 25
40 40
60 55
80 65
100 71
120 77
140 77
160 75
180 71
200 64
Please find the quadratic function of best fit for these data and, to the hundredths place, say what height, in feet, the shot started its flight.
Answers
The quadratic function of best fit for the data is given as follows:
h(t) = -0.004t² +1.032t + 5.667.
Using this function, the initial height of the shot is of 5.67 feet.
Why a quadratic function of best fit is used, and how to find it?The input and the output of the data are given as follows:
Input: feet traveled.Output: feet above the ground.As the input increases, the output increases and then it decreases. Since this behavior of increase/decrease is not uniform over the entire domain of the relation, a quadratic function best models this data.
To find the quadratic function of best fit, we insert the points (input,output) into a calculator, from point (20, 25) to point (200,64).
Inserting the points into the calculator, the function is defined as follows:
h(t) = -0.004t² +1.032t + 5.667
The height in which the shot started its flight is given by the height when t = 0, hence:
h(0) = -0.004(0)² + 1.032(0) + 5.667 = 5.667 feet = 5.67 feet (rounded to the hundredths place).
More can be learned about quadratic functions at https://brainly.com/question/24737967
#SPJ1
For integer values of x, if 1.75x is an integer, which of the following must be an integer?
Answers
Using integer numbers, it is found that the expressions that will also be integers are given as follows:
1.75kx, in which k is an integer.
What are integer numbers?Integer numbers are numbers that have a decimal part of zero, that is, they are whole numbers, either positive or negative.
In the context of this problem, the relevant property is that the multiplication of two integer numbers will always result in an integer number.
We have that the term 1.75x represents an integer number, hence any integer number multiplying 1.75x will result in an integer number.
Symbolically, any integer number can be represented by the variable k, hence the expressions that will also be integers are given as follows:
1.75kx, in which k is an integer.
What is the missing information?This problem could not be found on any search engine, hence the expression is given in general terms.
More can be learned about integer numbers at https://brainly.com/question/17695139
#SPJ1
el 4.0
1. Jenny is going to the store for some snacks. Jenny only wants to buy a Pepsi and two candy
bars. The Pepsi costs $2.19 and each candy bar costs $1.99. How much money will Jenny
need to take to the store to make sure she has enough?
Answers
Step-by-step explanation:
can we become friends???
Answer:
6.17
Step-by-step explanation:
add the pepsi wich is 2.19 then do 1.99 x 2 wich would be 3.98 then add them all together
–3(33b+65)=–95b–6b–87
Answers
Answer:
b = 54Step-by-step explanation:
[tex]\sf -3\left(33b+65\right)=-95b-6b-87[/tex]
Combine like terms:
[tex]\sf -3\left(33b+65\right)=-101b-87[/tex]
Expand:-
[tex]\sf -99b-195=-101b-87[/tex]
Add 195 to both sides:-
[tex]\sf -99b-195+195=-101b-87+195[/tex]
Simplify:-
[tex]\sf -99b=-101b+108[/tex]
Add 101b to both sides:-
[tex]\sf -99b+101b=-101b+108+101b[/tex]
Simplify:-
[tex]\sf 2b=108[/tex]
Divide both sides by 2:-
[tex]\sf \cfrac{2b}{2}=\cfrac{108}{2}[/tex]
Simplify:-
[tex]\sf b=54[/tex]
Therefore, your answer is b = 54!!
___________________________
Hope this helps you!
Have a great day! :)
answer 22746 X 76828636467 and will be brainliest have to put name! and add me as friend
Answers
Answer:2.10971436E14
Step-by-step explanation:
Answer:
Step-by-step explanation:
1,747,544,165,078,382 is the answer.
a brokerage survey reports that 30 percent of individual investors have used a discount broker; that is, one which does not charge the full commissions. in a random sample of 9 individuals, what is the probability that exactly two of the sampled individuals have used a discount broker
Answers
The probability that precisely two of the sampled people utilized a discount broker is 0.2668.
A discount broker was employed by 30% of individual investors.
p = 30 ÷ 100 = 0.3
q = 1 - p
q = 1 - 0.3
q = 0.7
n = 9
P(x) = [tex]{}^{n}C_{x}p^{x}q^{n - x}[/tex]
Only two of the people polled had utilized a broker.
x = 2
P(2) = [tex]{}^{9}C_{2}[/tex](0.3)²[tex](0.7)^{7}[/tex]= 0.2668
Only three persons have used a deal broker.
= P(3) + P(2) + P(1) + P(0)
= [tex]{}^{9}C_{3}[/tex](0.3)³[tex](0.7)^{6}[/tex] + [tex]{}^{9}C_{2}[/tex](0.3)²[tex](0.7)^{7}[/tex] + [tex]{}^{9}C_{1}[/tex](0.3)¹[tex](0.7)^{8}[/tex] + [tex]{}^{9}C_{0}[/tex](0.3)⁰[tex](0.7)^9[/tex]
= (84 × 0.027 × 0.1176) + (36 × 0.09 × 0.0823) + (9 × 0.3 × 0.0576) + (1 × 1 × 0.0403)
= 0.7291
Probability of a broker has been employed by at least three of them.
= P(2) - P(1) - P(0) - 1
= -([tex]{}^{9}C_{2}[/tex](0.3)²[tex](0.7)^{7}[/tex] - [tex]{}^{9}C_{1}[/tex](0.3)¹[tex](0.7)^{8}[/tex] - [tex]{}^{9}C_{0}[/tex](0.3)⁰[tex](0.7)^9[/tex] - 1)
= -((36 × 0.09 × 0.0823) - (9 × 0.3 × 0.0576) - (1 × 1 × 0.0403) - 1)
= 0.9291
Learn more about probability at
https://brainly.com/question/28371185?referrer=searchResults
#SPJ4
What is the complete factorization of the polynomial below? x3 - 2x2 + x - 2
A.(x + 2)(x + i)(x - i)
B.(x - 2)(x - i)(x - i)
C.(x - 2)(x + i)(x - i)
D.(x + 2)(x - i)(x - i)
Answers
The polynomial factors are (x -2)(x+ i)(x - i)
What is Factorization of PolynomialsIn mathematics and computer algebra, factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.
To find the factors of the given polynomial, we can proceed as
[tex]x^3 -2x^2 + x - 2[/tex]
Let's factor out a common term
[tex]x^3 - 2x^2 + x - 2 = x^2(x-2) + (x-2)\\x^2(x-2)+(x-2)\\(x-2)(x^2+1) = (x-2)(x+i)(x-i)[/tex]
The factors of the given polynomial is (x-2)(x+ i)(x- i)
Learn more on factorization of polynomials here;
https://brainly.com/question/11434122
#SPJ1
Can someone please help me soon
Answers
Because we have a closed dot at (4, 17), we conclude that when x = 4 the value of the function is 17, so the correct option is the third one.
What is the value of the function when x = 4?
Here we have the graph of a piecewise function, and we want to see which value the function takes when x = 4.
To do so, we need to find x = 4 on the horizontal axis, and then move until we hit the graph.
For x = 4 we can see two points on the graph.
One open point at y = 7, where the open dot means that this value does not belong to the function.
A closed point at y = 17, where the closed dot means that this value belongs to the function.
From this, we conclude that when x = 4, the value of the function is 17.
Learn more about piecewise functions:
https://brainly.com/question/3628123
#SPJ1
how much more does it cost to buy 2 large pool that is 3,126 equipment sets than 2small pool that is 2,721 equipment sets
Answers
Answer:h
Step-by-step explanation:
A grocery store sells a bag of 7 oranges for $4.83. How much
would it cost for 12 oranges?
Answers
Answer:
Step-by-step explanation:
The total for 12 oranges would be $8.28
Support staff is paid $x each shift and each doctor is paid $150 more than each support. during a shift with 22 doctors and 71 support staff, the total salary is $26,565. solve for x.
Answers
Answer:
X = $250.16
Step-by-step explanation:
22( +150) + 71 = 26,565
22 + 3300 + 71 = 26,565
93 = 23,565
= 250.16
Each support staff is paid $250.16 per shift.
The chart below shows the approxinate distance from the Sun ti Earth, Mars, and Jupiter.
The speed of light is approximately 1.86 x 10^5 miles per second.
• The time it takes for a beam of light to travel from the Sun to the Earth is found by dividing the distance between the Sun and Earth by the speed of light. Find the amount of time it takes gir a beam if light fron the Sun to reach Earth. Show all work and express your answer in minutes.
• Explain or show how to use the numbers in scientific notation to calculate the difference in the distance from Jupiter to the Sun and the distance from Mars to the Sun. Then find the differences and express your answers in scientific notation.
• Explain ir show how to find the number if miles light will travel in 1/2 minute.
Answers
The amount of time it takes to reach the beam of sum from sun to earth is 200 seconds approximately
What is division?
Division is one of the basic arithmetic operation in which we find a number such the product of the number with the denominator is equal to the numerator.
We are given that the distant of earth from sun is 9.3 ×10^7
And the speed of light is 1.86×10^5
We divide the distance by the speed to get the value of time
[tex]\frac{9.3}{1.86}[/tex]×[tex]\frac{10^7}{10^5}[/tex]
On simplifying we get
200 seconds
Hence, The approximate time require to reach the beam of sun from sun to earth is 200 seconds
To learn more about division please refer the following link
https://brainly.com/question/25289437
#SPJ13
The length of a rectangle is twice its width. If the perimeter of the rectangle is 60 inches, find its length and width.
Answers
Answer: length 20
width 10
Step-by-step explanation:
L = 2W
W+W+L+L=60
2W+2W+2W=60
6W=60
•1/6 to both sides
W=10
L=20
Answer:
Length = 20 in
Width = 10 in
Step-by-step explanation:
Given information:
The length of a rectangle is twice its width. The perimeter of the rectangle is 60 inches.Define the variables:
x = width2x = lengthPerimeter of a rectangle
[tex]P = 2(w + l)[/tex]
where:
w = widthl = lengthSubstitute the given values into the formula and solve for x:
[tex]\begin{aligned}\textsf{Perimeter of rectangle}&=\sf 2(width + length)\\\implies 60&=2(x+2x)\\60&=2(3x)\\60&=6x\\x&=10\end{aligned}[/tex]
Substitute the found value of x into the expressions for width and length.
Solution
Length = 20 inWidth = 10 in