The rate of discount on the music system during the sale is 13.58%.
The rate of discount is the percentage reduction in the original price of a product during a sale.
The regular cost of the music system is $80,999 and it was sold during the sale for $69,999.
The rate of discount, we first need to find the amount of discount.
We can do this by subtracting the sale price from the regular price:
Discount = Regular price - Sale price
Discount = $80,999 - $69,999
Discount = $11,000
So the discount on the music system during the sale is $11,000.
Next, we can calculate the rate of discount as a percentage of the regular price.
We can use the formula:
Discount rate = (Discount / Regular price) x 100%
Plugging in the values we have:
Discount rate = ($11,000 / $80,999) x 100%
Discount rate = 0.1358 x 100%
Discount rate = 13.58%
The music system was discounted by 13.58% during the sale, resulting in a sale price of $69,999.
For similar questions on rate of discount
https://brainly.com/question/7459025
#SPJ11
A bus is traveling from Miami, Florida to Charlotte, North Carolina. The distance it travels in miles, d, is
related to the rate in miles per hour, r, by the equation d 60t.
What is the average rate of speed for the bus?
1
How far will it travel in 2.5 hours?
T
miles How long will it take to go 330 miles? Round to the nearest tenth.
Answer:
the other day I dey bro you doing today I hope
Lindiwe is a grade 10 leaner she walks for 3 kilometres from home to school during weekdays
3.1 convert Lindiwes walking distance to metres
(2)It takes Lindiwe’s teacher five minutes to walk to her classroom how long does it take her to walk in seconds
3.3 Lindiwe’s break starts at 10:30 and ends at 11:20 how long is the break ?
it takes Lindiwe's teacher 300 seconds to walk to her classroom and the break is 50 minutes long.
To convert 3 km to meters we multiply by 1000 (since there are 1000 meters in 1 km).
3 km = 3,000 meters
Therefore, Lindiwe walks 3,000 meters from home to school during weekdays.
3.2 To convert 5 minutes to seconds, we multiply by 60 (since there are 60 seconds in 1 minute).
5 minutes = 5 x 60 = 300 seconds
Therefore, it takes Lindiwe's teacher 300 seconds to walk to her classroom.
To find the length of Lindiwe's break, we subtract the start time from the end time:
11:20 - 10:30 = 0:50
The break is 50 minutes long.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
pls help <3 Which is the correct expansion of (x+4y)^3 using the binomial theorem?
a.(x+4y)^3=(3/0)(x)^3(4y)^0+(3/1)(x)^2(4y)^1+(3/2)(x)^1(4y)^2+(3/3)(x)^0(4y)^3
b.(x+4y)^3=(4y)^0+(x)^2(4y)^1+(x)^1(4y)^2+(x)^0(4y)^3
c.(x+4y)^3=(3/0)(4y)^3(x)^0+(3/1)(4y)^2(x)^1+(3/2)(4y)^1(x)^2+(3/3)(4y)^0(x)^3
d.(x+4y)^3=(x)^0(4y)^0+(x)^1(4y)^1+(x)^2(4y)^2+(x)^3(4y)^3
The correct expansion of (x + 4y)³ using the binomial theorem is (c) [tex]\left[\begin{array}{c}3&0\end{array}\right][/tex] (4y)³(x)⁰ + [tex]\left[\begin{array}{c}3&1\end{array}\right][/tex] (4y)²(x)¹ + [tex]\left[\begin{array}{c}3&2\end{array}\right][/tex] (4y)¹(x)² + [tex]\left[\begin{array}{c}3&3\end{array}\right][/tex] (4y)⁰(x)³
From the question, we have the following parameters that can be used in our computation:
(x + 4y)³
The binomial theorem of expansion states that
Given that an expression is (a + b)ⁿ, the current term is
ⁿCₓ * (a)ˣ * (b)ⁿ ⁻ ˣ
Using the above as a guide, we have the following:
(x + 4y)³ = ³C₀ (x)⁰(4y)³ +³C₁ (x)¹(4y)² + ³C₂ (x)²(4y)¹ + ³C₃ (x)³(4y)⁰
Rewrite as
(x + 4y)³ = [tex]\left[\begin{array}{c}3&0\end{array}\right][/tex] (4y)³(x)⁰ + [tex]\left[\begin{array}{c}3&1\end{array}\right][/tex] (4y)²(x)¹ + [tex]\left[\begin{array}{c}3&2\end{array}\right][/tex] (4y)¹(x)² + [tex]\left[\begin{array}{c}3&3\end{array}\right][/tex] (4y)⁰(x)³
This means that the correct expansion is (c) [tex]\left[\begin{array}{c}3&0\end{array}\right][/tex] (4y)³(x)⁰ + [tex]\left[\begin{array}{c}3&1\end{array}\right][/tex] (4y)²(x)¹ + [tex]\left[\begin{array}{c}3&2\end{array}\right][/tex] (4y)¹(x)² + [tex]\left[\begin{array}{c}3&3\end{array}\right][/tex] (4y)⁰(x)³
Read more about binomial expansion at
https://brainly.com/question/13602562
#SPJ1
What multiplies to 71 and adds to 72
La escala en un plano de una casa indica que 6 centímetros representan 3 metros. ¿Cuántos centímetros en el plano representan una distancia real de 27 metros?
A real distance of 27 meters will be represented by a distance of 54 centimeters on the plane.
How many centimeters representa real distance of 27 meters?We know that the scale factor of the plane is:
6cm to 3m
Then each meter on the plane will be represented by:
1m = (6cm/3) = 2cm
So each meter in the real world is represented by 2 centimeters on the plane.
Then a real distance of 27 meters will be reprsented by:
27m = 27*(2cm) = 54cm
That distance is represented by 54 centimeters.
Learn more about scale factors at:
https://brainly.com/question/25722260
#SPJ1
Consider a political discussion group consisting of 7 Democrats, 4 Republicans, and 5 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Independents
Answer:
1/16
Step-by-step explanation:
The probability of selecting an Independent on the first draw is 5/16, since there are 5 Independents out of 16 total members.
Assuming that the first person selected is an Independent, there are now 4 Independents left out of 15 total members for the second draw. So the probability of selecting a second Independent given that the first person selected was an Independent is 4/15.
Therefore, the probability of selecting two Independents in succession is:
(5/16) * (4/15) = 1/16
So the probability of selecting two Independents is 1/16 or approximately 0.0625.
Two gears are connected and rotating at the same time. The smaller gear completes 1 3/4 rotations every time the larger gear completes 1/4 of a rotation. How many rotations does the smaller gear complete when the larger gear completes 1 rotation? Drag and drop the correct value into the box.
A. 1/7
B. 7/8
C.5 1/2
D.7
Answer: Which Option do You Drag and Drop into the Box?
Step-by-step explanation:
Let's call the number of rotations of the larger gear "L" and the number of rotations of the smaller gear "S". We know that when the larger gear completes 1 rotation, the smaller gear completes 1 3/4 rotations.
We can set up a proportion to solve for S:
S/1 3/4 = L/1/4
Simplifying the right side of the equation, we get:
S/1 3/4 = 4L
Multiplying both sides by 7/4 to get rid of the fraction on the left side, we get:
S = 28/4 L
Simplifying, we get:
S = 7L
This means that the smaller gear completes 7 rotations every time the larger gear completes 1 rotation.
Therefore, the correct value to drag and drop into the box is 7.
{Hope This Helps! :)}
PLEASE ANSWER ASAPP
TYSM :))
(giving all my points.. 20 pts..)
I NEED HELP PLEASE ASAP
Examining the stem and leaf plot, the number of drivers that travelled below 70 miles per hour is
A. 8
What is stem and leaf plotA stem and leaf plot is a type of data display used in statistics to organize and rank data while retaining individual data points.
It is a visual representation of a frequency distribution of numerical data where each value is split into a stem (usually the leftmost digits) and a leaf usually the rightmost digit).
Using the information we can write out the speed of drivers that drove below 70 miles per hour
54, 56, 59, 62, 62, 63, 64, and 68
This gives 8
Learn more about stem and leaf plot at
https://brainly.com/question/31634385
#SPJ1
can you help me with math
In the question it ask for a slope of -6 so the answer is D.
Gary's car gets about 20 miles per gallon. About how many miles can Gary drive on
9.9 gallons of gas? At $2.90 a gallon, about how much would that amount of
gas cost?
Gary can drive about
miles on 9.9 gallons of gas, which would cost about $.
If Gary's car gets about 20 miles per gallon.
a. Gary can drive about 198 miles on 9.9 gallons of gas.
b. the cost of 9.9 gallons of gas at $2.90 per gallon would be $28.71.
What is the miles?a. Number of miles
Miles = Gallons * Miles per gallon
Miles = 9.9 gallons * 20 miles/gallon
Miles = 198 miles
Therefore Gary can drive about 198 miles on 9.9 gallons of gas.
b. Cost of the gas
Cost = Price per gallon * Gallons
Cost = $2.90/gallon * 9.9 gallons
Cost = $28.71
Therefore the cost of 9.9 gallons of gas at $2.90 per gallon is $28.71.
Learn more about miles here:https://brainly.com/question/29806974
#SPJ9
¿Cuál es la masa que tienen 700 ml de un líquido que posee una densidad de 855 kg/m°?
If 8sintheta = 4+costheta then find the value of tantheta
The value of Tan θ is -5/12
Given that 8 Sin θ = 4 + Cos θ, we need to find Tan θ,
So,
8 Sin θ = 4 + Cos θ
Dividing by Cos θ,
8 Sin θ / Cos θ = (4 + Cos θ) / Cos θ
8 Tan θ = 4 Sec θ + 1
Squaring both sides,
64 Tan² θ = 16 Sec² θ + 1 + 8 Sec θ
64 Tan² θ - 16 Tan θ + 1 = 16 (1 + Sec² θ)
48 Tan² θ - 16 Tan θ - 15 = 0
4 Tan θ(12 Tan θ + 5) -3(Tan θ + 5) = 0
(12 Tan θ + 5) (4 Tan θ - 3) = 0
Tan θ = 3/4 or Tan θ = -5/12
Since Tan θ = 3/4 does not satisfy the equation so Tan θ = -5/12
Hence the value of Tan θ is -5/12
Learn more about trigonometric equations click;
https://brainly.com/question/30710281
#SPJ1
PLS!! HELP!! THIS IS ALSO DUE TOMORROW!!
Question 12 (1 point)
(15.03 LC)
Jimmy wants to draw a 50° angle. Fill in the missing step to make sure his drawing is completed in the correct order: (1 point)
Step 1: He draws a ray.
Step 2: He lines up his protractor with the baseline on the ray and the origin of the protractor on the vertex.
Step 3: He finds 50° on the protractor and draws a mark on the paper.
Step 4: ________
Step 5: He draws arrows on both ends to make them rays.
a
He uses the bottom of the protractor to draw a straight line connecting the arrow with the mark he made.
b
He uses the bottom of the protractor to draw a straight line connecting the mark he made with the arrow on the ray.
c
He uses the bottom of the protractor to draw a straight line connecting the vertex and the arrow on the ray.
d
He uses the bottom of the protractor to draw a straight line connecting the mark he made with the vertex.
Option d) He uses the bottom of the Protractor to draw a Straight line connecting the mark he made with the vertex.
The correct step to complete the drawing of a 50° angle is:
Step 4: He uses the bottom of the protractor to draw a straight line connecting the mark he made with the vertex.
In this step, Jimmy will connect the mark he made at 50° on the protractor with the vertex of the angle using a straight line. This line will complete the angle and ensure that it measures 50°. By connecting the mark with the vertex, Jimmy will have successfully drawn a 50° angle.
After completing Step 4, he can proceed to Step 5, which involves drawing arrows on both ends of the line to indicate that they are rays.
Therefore, the correct answer is option d) He uses the bottom of the protractor to draw a straight line connecting the mark he made with the vertex.
To know more about Straight line.
https://brainly.com/question/24024505
#SPJ11
Im actually dying please explain this ASAP (its a buttload of questions)
The value of x is equal to 0.8603 units.
How to calculate the value of x?In order to determine the adjacent side (value of x), we would apply the law of tangent because the given side lengths represent the opposite side and angles of a right-angled triangle.
tan(θ) = Opp/Adj
Where:
Adj represent the adjacent side of a right-angled triangle.Hyp represent the opposite side of a right-angled triangle.θ represent the angle.Based on the information provided in the image, we can logically deduce the following parameters:
Adj = x units.
Opp = 8.3 units.
By substituting the parameters into the tangent ratio formula, we have the following;
Tan16 = 8.3/x
x = 3tan16
x = 0.8603 units.
Read more on right-angled triangle here: brainly.com/question/2223099
#SPJ1
Characteristics that are harmful to a species tend
to decrease in frequency from generation to
generation because these characteristics usually
(1) have a high survival value for the species
(2) have a low survival value for the species
(3) are inherited by more individuals
(4) affect only the older members of the population
Characteristics that are harmful to a species tend to decrease in frequency from generation to generation because these characteristics usually have a low survival value for the species.
Option 2.
What are characteristics that are harmful to a species?Characteristics that are harmful to a species are numerous and some of them affect species in many ways.
Some of the harmful characteristics to species include the following;
Poor genetic diversity - species that are not diverse will not survive long the nearest future as tend to go into extinct.
Poor habitat ; species with limited habitation will not survive long.
Poor reproductive rate - this factor does not favour species wide spread and fast growth
Predators - this factor kill and reduce the number of available species
Learn more about harmful characteristics here: https://brainly.com/question/9445762
#SPJ1
When we subtract a velocity vector from another velocity vector, the result is:
A. an acceleration.
B. another velocity.
C. a scalar.
D. a displacement.
When we subtract a velocity vector from another velocity vector, the result is B. another velocity.
When we subtract a velocity vector from another velocity vector, we are essentially finding the difference between the two velocities. This difference is also a velocity vector, but in a different direction and with a different magnitude. Therefore, the answer is another velocity, option B.
It is important to note that acceleration is a change in velocity, not the result of subtracting one velocity from another. Scalar refers to a quantity with only magnitude, whereas velocity is a vector quantity with both magnitude and direction. Displacement refers to the change in position of an object and is not directly related to subtracting velocity vectors.
To know more about velocity visit:
https://brainly.com/question/14534415
#SPJ11
A circle whose center is the origin passes through the point (-5,12). Which point also lies on this circle?
The distance between the center of the circle and the given point is 13 units.
The distance between the center of the circle (0, 0) and the given point (-5, 12) should be equal to the radius of the circle.
Using the distance formula,
d= √(-5-0)² + (12-0)²
d = √25 + 144
d = √169
d = 13 unit
Therefore, the distance between the center of the circle and the given point is 13 units.
Any point on the circle will have a distance of 13 units from the center.
Learn more about Distance Formula here:
https://brainly.com/question/25841655
#SPJ1
Find the equation of the line that passes through the points (1, 4) and (-2, 4).
Answer:
[tex]y=4[/tex]
Step-by-step explanation:
you decide to hike up a tall mountain, and you want to know the gradient of the trail you are hiking. the elevation at the mountain's trail head is 645ft, and the elevation at the summit is 6,849ft. the entire trail is 8.2 mi long from beginning to end. what is the gradient of this trail in ft/mi? round to the tenths place.
The gradient of the trail you hiked up is approximately 754.6 ft/mi. This means that for every mile you hiked horizontally, the elevation increased by about 754.6 feet.
The gradient of the trail is essentially the steepness of the trail, or the rate at which the elevation changes per unit of horizontal distance. To find the gradient in ft/mi, we need to calculate the total change in elevation and divide it by the total horizontal distance.
The total change in elevation is the difference between the elevation at the summit and the elevation at the trail head, which is:
6,849 ft - 645 ft = 6,204 ft
The total horizontal distance of the trail is 8.2 mi. To convert the total change in elevation to ft/mi, we divide it by the total horizontal distance
6,204 ft / 8.2 mi = 754.63 ft/mi
Rounding this to the tenths place gives us:
Gradient = 754.6 ft/mi
To know more about gradient visit:-
https://brainly.com/question/30249498
#SPJ11
In the study of logic, p q is to be understood in the exclusive sense, whereby if "p" and "q" are both true, the compound claim pvq is, as a whole claim, true. True False
The statement "In the study of logic, p q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim pvq is, as a whole claim, true" is true.
This principle is known as the exclusive disjunction, which means that the truth value of p v q is only true if either p or q is true, but not both.
In other words, if both p and q are true, then the statement p v q is still considered true because only one of them needs to be true for the whole statement to be true. This concept is essential in the study of logic as it helps to clarify the relationship between different statements and propositions.
Furthermore, this principle is often used in mathematics, computer science, and other fields that rely heavily on logical reasoning. It enables us to make accurate predictions and draw valid conclusions from a set of given premises or statements.
In conclusion, the exclusive disjunction is a crucial concept in the study of logic that helps us understand the truth value of compound claims. Therefore, the statement "In the study of logic, p q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim pvq is, as a whole claim, true" is true.
In the study of logic, the statement "p ∨ q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim p ∨ q is, as a whole claim, true" is actually false. This is because the given description refers to the "inclusive" sense of the disjunction (OR) operator, rather than the exclusive sense.
In logic, there are two types of disjunctions: inclusive and exclusive. The inclusive disjunction, represented by p ∨ q, is true when at least one of p or q is true. This means that if both p and q are true, the compound claim p ∨ q is also true, which matches the given description in the question.
On the other hand, the exclusive disjunction, represented by p ⊕ q or p XOR q, is true only when either p or q is true, but not when both are true. If p and q are both true, then the compound claim p ⊕ q is false.
So, the statement in the question actually describes the inclusive disjunction, not the exclusive disjunction, and is therefore false.
Learn more about disjunction at: brainly.com/question/30509648
#SPJ11
The distance from building 1 to building 2 is 2,000 feet. The distance between building 2 and building 3 is 5,000 feet. The distance between building 1 and 3 is 1,000 feet. Do the building form a right triangle? Why or why not
Answer:
The angle between building 1 and building 3 at building 2 is not a right angle, and hence, the buildings do not form a right triangle.
Step-by-step explanation:
Find the volume of a hemisphere with a diameter of 18
Answer:
972
Step-by-step explanation:
What is the equation of the line that passes through (0,2) and (-3,14) in slope intercept form?
Answer: y = -4x + 2
Step-by-step explanation:
Use the diagram below to classify ABCD. Select all that apply.
Answer please rn
Answer: A and D
Step-by-step explanation: Its obvious.
Answer:
Square
Parallelogram
Step-by-step explanation:
Inner diagonals are all right angles and both diagonals are congruent.
Also, a square must be a parallelogram.
If QT is the perpendicular bisector of PR, find each measure.
Please help!!
Given that QT is the perpendicular bisector of PR.The bisector of any line segment divides it into two equal parts, each of which has the same measure.To begin, let's define a few terms.
Angle bisector - An angle bisector is a line or segment that divides an angle into two equal parts.The given figure is shown below: We are given QT is the perpendicular bisector of PR. That means QT is perpendicular to PR and it bisects it. That is, it divides it into two equal halves.Suppose, PR = 2xFrom the given information, we know that the perpendicular bisector QT divides PR into two equal halves.
So,PQ = QR
Now, In right triangle
TPQ,QT² = TP² + PQ²QT² = TP² + QR² (since PQ = QR)QT² = TP² + (2x)² (since PQ = QR = 2x)QT² = TP² + 4x²
Also, In right triangle
TRQ,QT² = TR² + QR²QT² = TR² + (2x)²QT² = TR² + 4x²
We now have two equations:
QT² = TP² + 4x² QT² = TR² + 4x²
The above two equations can be equated:
TP² + 4x² = TR² + 4x²TP² = TR²
Thus, we can say that
TP = TRLet TP = TR = a
By Pythagoras theorem in right angled triangle
TPQ,TP² + PQ² = TQ²a² + (2x)² = QT²a² + 4x² = QT²
The answer is 4x² + a² = QT².
To know more about line segment visit :
https://brainly.com/question/30072605
#SPJ11
Can you guys help me pleasse
Answer:
c
Step-by-step explanation:
Looking at Jen's slope, we can see that the slope is steeper, but has a higher starting point, meaning that while she can hold more gas, she burns through her gas quicker.
On the other hand, DJ's car starts at a lower point on the graph, meaning their car holds less gas, But has a less steep slope, meaning their car has better mileage.
This means the answer is c: Jen's car holds more gasoline, but DJ's car gets better gas mileage
Which angle is an obtuse angle? (1 point)
Figure A is an angle measuring ninety degrees, Figure B is an angle measuring between zero and eighty nine degrees, Figure C is an angle measuring between ninety one and one hundred seventy nine degrees, Figure D is an angle measuring one hundred eighty degrees.
a
Figure A
b
Figure B
c
Figure C
d
Figure D
who ever answer this first again, will get a brainlist :)
A sphere has a diameter of 10.5 cm. What is the approximate volume
of the sphere? SHOW WORK
A. 115 cm3
B. 455 cm3
C. 463 cm3
D. 606 cm
The approximate volume of the sphere is 606.25 cm³, which is closest to option D. 606 cm³.
To find the approximate volume of a sphere, we'll use the formula:
Volume = (4/3) × π × r³
Given that the sphere has a diameter of 10.5 cm, we can find its radius by dividing the diameter by 2:
Radius (r) = Diameter / 2 = 10.5 cm / 2 = 5.25 cm
Now, we can plug the radius into the volume formula:
Volume = (4/3) × π × (5.25 cm)³
Volume ≈ (4/3) × 3.14 × (144.703125 cm³)
Volume ≈ 4.1867 × 144.703125 cm³
Volume ≈ 606.25 cm³
The approximate volume of the sphere is 606.25 cm³, which is closest to option D. 606 cm³.
For more questions on volume
https://brainly.com/question/28298028
#SPJ11
Perform the following area application
If 600 bricks measuring 12" by 18" are required to build a wall 10 ft. high (one brick thick), how long is the wall?
_________ft.
The first step is to calculate the total area of 600 bricks.
Area of one brick = 12 inches x 18 inches = 216 square inches
Area of 600 bricks = 600 x 216 = 129,600 square inches
Next, we need to convert the height of the wall from feet to inches since the area of the bricks is in square inches.
10 feet = 120 inches
Now, we can divide the total area of the bricks by the height of the wall to find the length of the wall.
Length of the wall = Area of 600 bricks / Height of the wall
Length of the wall = 129,600 square inches / 120 inches
Length of the wall = 1080 inches
Finally, we can convert the length of the wall back to feet by dividing by 12 since there are 12 inches in a foot.
Length of the wall = 1080 inches / 12 inches/foot
Length of the wall = 90 feet
Therefore, the length of the wall is 90 feet.
To solve this problem, we need to use the formula for calculating area which is length x width. We also need to convert units from feet to inches and vice versa as necessary to ensure we are working with the same units throughout the problem.
The length of the wall is 90 feet.
To know more about area visit:
https://brainly.com/question/30307509
#SPJ11
