The single equivalent discount is [tex]43[/tex]%
Let's figure out the final price after two discounts on the marked price that come in succession.
Price after first discount =[tex]{100-(100[/tex]×[tex]40/100)} = (100-40) = Rs. 60[/tex]
Price after second discount [tex]= {60-(60[/tex]×[tex]5/100)} = Rs. 57[/tex]
Difference between the final price and the initial price [tex]= (100-57) = Rs. 43[/tex]
Single equivalent discount[tex]= (100[/tex] × Total discount amount / Initial price) = [tex]100[/tex]× [tex]43/100 = 43%[/tex]
Hence, the single equivalent discount is [tex]43%[/tex]%.
To know more
brainly.in/question/23178262
I need help on this homework
By solving an inequality we will see that for 7 movies (or more) the first store is a better deal.
What is the minimum number of movies so the first store is better?We know that the first store charges $12.50 as a fixed cost plus $1.50 per movie rented, so if you rent x movies, the total cost is:
c(x) = $12.50 + $1.50*x
While the second store charges $3.50 per movie, then the cost for renting x movies here is:
h(x) = $3.50*x
We want to find the minimum value x such that c(x) < h(x), then we need to solve the inequality:
$12.50 + $1.50*x < $3.50*x
$12.50 < $3.50*x - $1.50*x
$12.50 < $2.00*x
$12.50/$2.00 < x
6.25 < x
So, for x = 7 the first store is a better deal.
Learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1
345 x 564 divided by 3x - 2y
Answer:
-97290
Step-by-step explanation:
if BCF ~ BDE, solve for x
Answer:
x = 10
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{BE}{BF}[/tex] = [tex]\frac{BD}{BC}[/tex] ( substitute values )
[tex]\frac{56+5x-8}{56}[/tex] = [tex]\frac{52+39}{52}[/tex] , that is
[tex]\frac{48+5x}{56}[/tex] = [tex]\frac{91}{52}[/tex] ( cross- multiply )
52(48 + 5x) = 56 × 91 = 5096 ( divide both sides by 52 )
48 + 5x = 98 ( subtract 48 from both sides )
5x = 50 ( divide both sides by 5 )
x = 10
Using the substitution u(x) = y + x, solve the differential equation dy/dx = (y + x)^2 .
The solution to the differential equation is y = 2x/(y + 2x), which can be interpreted as y is equal to twice x divided by y plus twice x.
du/dx = 2(y + x)
Integrating both sides, we get
∫du/2(y + x) = ∫dx
1/2 ∫u du = x + C
(1/2)u^2 = x + C
(1/2)(y + x)^2 = x + C
y^2 + 2xy + x^2 = 2x + C
y^2 + 2xy = 2x + C - x^2
y^2 + 2xy = 2x + C - x^2
y^2 + 2xy + C = 2x + C
y^2 + 2xy + C = 2x + C
y^2 + 2xy = 2x
y(y + 2x) = 2x
y = 2x/(y + 2x)
y = 2x/(y + 2x) y = 2x/(y + 2x), which can be interpreted as y is equal to twice x divided by y plus twice x.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Nathaniel has enough goat's milk to make at most 24 containers of fermented milk product (either yogurt or kefir). Each container of yogurt sells for $6.00, while each container of kefir sells for $5.00 Nathaniel needs to make at least $5.50
The system of inequalities of the scenario is x + y ≤ 24 and 6x + 5y ≥ 550
How to determine the system of inequalities of the scenario?From the question, we have the following parameters that can be used in our computation:
Number of containers = At most 24Unit rates of yoghurt and kefir = $6.00 and $5.00, respectivelyAmount needed = At least $550Using the above as a guide, we have the following:
Number of containers = x + y
Where
x = Yoghurt
y = Kefir
This means that
x + y = At most 24
Express as an inequality
x + y ≤ 24
For the earnings, we have:
6x + 5y = Total earnings
Express as an inequality
6x + 5y ≥ 550
Hence, the inequalities are x + y ≤ 24 and 6x + 5y ≥ 550
Read more about inequalities at
https://brainly.com/question/23093488
#SPJ1
Complete question
Nathaniel has enough goat's milk to make at most 24 containers of fermented milk product (either yogurt or kefir). Each container of yogurt sells for $6.00, while each container of kefir sells for $5.00 Nathaniel needs to make at least $550.
What is the system of inequalities of the scenario?
graph the sentence to this inequality on the number line.
-16 > —4p
p<4 is the solution of the given inequality.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is -16>-4p
Minus sixteen greater than minus four p
Divide both siders by -4
4>p
p<4
Now we have to draw this on number line.
a number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
The attached figure has the graph of p<4.
Hence, p<4 is the solution of the given inequality.
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ1
3. A music store sells a guitar for $45. If the local sales tax is 6%, what is the total cost of the guitar, including tax? Do NOT use a dollar sign in your
Answer:
47.70
Step-by-step explanation:
6%= 2.7
2.7 +45
=47.7
Trey measured the mass of some pebbles. What is the combined mass of the pebbles that are 4 1/2 grams more?
The combined mass of the pebbles that are 4 1/2 grams more is 66 grams.
What is addition?In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
Given:
The mass of the pebbles is shown in the image attached below,
Calculate the combined mass as shown below,
The combined mass = 4.5 × 5 + 5 × 4 + 5.5 × 3 + 1 × 7
The combined mass = 22.5 + 20 + 16.5 + 7
The combined mass = 39 + 20 + 7
The combined mass = 66
Thus, the combined mass is 66 grams.
To know more about addition:
https://brainly.com/question/28008319
#SPJ1
A rhombus has an angle measure of 120 and it’s longer diagonal has a length of 10 inches. Find the area of the rhombus.
If a rhombus has an angle measure of 120 and it’s longer diagonal has a length of 10 inches. The area of the rhombus is 28.85.
How to find the area?Obtuse angle = 120 so, the other two angles must add up to 60 and each would be half of 60 or 30.
Hence,
Sin 30° = 0.5
Sin 60° = 0.86602540378
Now let find the length of breadth
Length of breadth = 0.5 / 0.86602540378
Length of breadth = 0.577
Now let find the area using this formula
A =b × h
Where:
b=0.577
h=0.5
A = 0.577 x 0.5
A = 0.2885
A = 28.85
Therefore the area is 28.85.
Learn more about area here:https://brainly.com/question/25292087
#SPJ1
an alias cannot be used when a table is required to be joined to itself in a recursive query.a. trueb. false
An alias cannot be used when a table is required to be joined to itself in a recursive query is false.
The majority of relational database management systems, if not all of them, include the SQL feature known as an alias (RDBMSs). Database administrators and other database users can use aliases to cut down on the amount of coding necessary for a query and to make it easier to understand. Additionally, the real names of database fields can be protected using aliasing as an obfuscation approach.
You can alias tables and columns in SQL. A correlation name is another term for a table alias. [1] For the duration of a SELECT query, a programmer can temporarily give a table or column a different name by using an alias. The column or table are not truly renamed when an alias is assigned.
To learn more about Database:
https://brainly.com/question/518894
#SPJ4
Question Progress Homework Progress 26/ 5 + √2 4+√8 can be written in the form where r and s are both integers. What are the values of r and s? r - s√2 4 66%
Question 2 options: A population of bacteria doubles every 15 hours. Initially, the population of bacteria is 50. What is the population of the bacteria after 40 hours
After 40 hours the population of bacteria will be equals to 318 hours.
We can calculate the total population growth using the following equation:
A(t)= A₀× 2ᵗ/¹⁵
Where, A(t) --> the total population
A₀ --> the initial population
t --> the time in hours
From the statement we know that the population of bacterias doubles every 15 hours, so, using the formula we have: A(15) = A₀ × 2ᵗ/¹⁵
The initial population is = 50 , then
A(15) = 50×2¹⁵/¹⁵ = 100
It shows that every 15 hours, the population of bacterias doubles it size. We are asked to calculate the popualation after 40 hours, so:
A(40) = 50 × 2⁴⁰/¹⁵
= 6.35 × 50 = 317.5 ~ 318
So, after 40hours the population of bacteria will be 318.
To learn more about population growth, refer:
https://brainly.com/question/27779235
#SPJ4
Graph the following inequality and then select the correct graph below.
x + 2 ≥ 1
Answer:
The first image is right. The line on X = -1
Step-by-step explanation:
x + 2 ≥ 1
x ≥ 1 -2
x ≥ -1
Which of the following quadratic equations has roots 3, 5 ?
(A) x²-15x+8=0
(B) x²-8x+15=0
(C) x²+3x+5=0
(D) x²+8x-15=0
Answer:
[tex]x^2-8x+15=0[/tex]
Step-by-step explanation:
If the roots are [tex]3[/tex] and [tex]5[/tex], the factors are [tex](x-3)[/tex] and [tex](x-5)[/tex].
Taking the leading coefficient as 1, the equation is [tex](x-3)(x-5)=0 \implies x^2-8x+15=0[/tex].
What is the factored form of -15w+9wz-6z+10
The factored form of the equation -15w + 9wz - 6z + 10 is,
⇒ (3w - 2) (3z - 5)
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;
The equation is,
⇒ -15w + 9wz - 6z + 10
Now, Factor the equation as;
⇒ -15w + 9wz - 6z + 10
⇒ 3w (- 5 + 3z) - 2(3z - 5)
⇒ 3w (3z - 5) - 2 (3z - 5)
⇒ (3w - 2) (3z - 5)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
What is the graph of the equation y =- 4?
The graph of the equation y = -4 is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,-4)
What is a straight line?A straight line is an infinitely wide one-dimensional figure. It is made up of an infinite number of points connected at both ends by another point. A straight line is devoid of all curves. It can be angled, vertical, or in any direction. A 180-degree angle will always result from drawing an angle between any two points on a straight line. we will learn how to read straight line equations in various formats and how to use them to answer questions about straight lines.
So that, The graph of the equation y = -4 is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,-4) as shown in attached diagram.
To learn more about linear graph visit:
brainly.com/question/28393413
#SPJ4
What is the standard deviation from the mean? round the answer to the nearest tenth if necessary. 4. 5 6 14 15. 5.
The standard deviation is 5.94 and rounded to the nearest tenth, the standard deviation is 5.9.
The standard deviation from the mean is a measure of how spread out the data is in a set of numbers. It is calculated by finding the square root of the variance of the data set, which is the average of the squared differences between each data point and the mean.
To calculate the standard deviation from the mean for the set of numbers 4, 5, 6, 14, 15, and 5, you would first need to find the mean of the set by adding all of the numbers together and dividing by the number of numbers in the set. The mean of this set is 8.17.
Next, we will need to calculate the squared differences between each number and the mean, and then average those squared differences. The variance of this set is 35.15.
Finally, we will take the square root of the variance to find the standard deviation, which is approximately 5.94. Rounded to the nearest tenth, the standard deviation is 5.9.
Read more about standard deviation:
brainly.com/question/12402189
#SPJ4
HELP BRAINLIEST AND SET AT 35 POINTS
The table shows Gary's ratio to make glitter glue bottles.
Bottles Glue Glitter
1 3.8 1.9
4
How much glue and glitter would he need to make 4 bottles?
Gary would need 15.2 oz of glue and 3.8 oz of glitter to make 4 bottles.
Gary would need 6.8 oz of glue and 4.9 oz of glitter to make 4 bottles.
Gary would need 7.8 oz of glue and 5.9 oz of glitter to make 4 bottles.
Gary would need 15.2 oz of glue and 7.6 oz of glitter to make 4 bottles.
Gary would need 15.2 oz of glue and 7.6 oz of glitter to make 4 bottles.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Bottles Glue Glitter
1 3.8 1.9
This means,
1 bottle = 3.8 oz of glue and 1.9 oz of glitter
Now,
1 bottle = 3.8 oz of glue
Multiply 4 on both sides.
4 bottle = 4 x 3.8 oz
4 bottle = 15.2 oz
1 bottle = 1.9 oz of glitter
Multiply 4 on both sides.
4 bottle = 7.6 oz
Thus,
15.2 oz of glue and 7.6 oz of glitter to make 4 bottles.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Which of the following is not an improper fraction?
A.4/3
B.3/2​
C.5/3
D.7/11
Find the Least Common Multiple of 9 and 20.
A.180
B. 90
C. 120
D. 20
E. 60
Simplify the expression.
v686a4y?
• A.
• B. 7,27 1/223°
O c. 7223 1229
O D.
Answer:
A
Step-by-step explanation:
[tex]\sqrt[3]{686x^{4}y^{7}} = \sqrt[3]{343*2x^{3+1}*y^{6+1}}=\sqrt[3]{343*2x^{3}*y^{6}*xy}=\sqrt[3]{7^{3}}\sqrt[3]{x^{3}}\sqrt[3]{y^{6}}\sqrt[3]{2xy}=7xy^{2}\sqrt[3]{2xy}[/tex]
Please I really need help with this question
The equation of the line is y = 0.5x + 1 having a slope of 0.5 and y intercept of 1
How to solve an equationThe equation of a line is:
y = mx + b
Where m is the slope and b is the y intercept
From the table shown, the points are:
(-6, -2), (-4, -1), (-2, 0), (0, 1) and (2, 2)
Using any two points to get the equation. Let us use (-2, 0) and (0, 1):
y - 0 = [(1 - 0)/(0-(-2))](x - (-2))
y = 0.5x + 1
The equation of the line is y = 0.5x + 1
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
SOMEONE PLEASE HELP ME ANSWER ….If 3 is added to a number and the sum is triple the results is 17 more than the number find the number
The number that represents the system in this problem is given as follows:
x = 4.
How to obtain the number?The number is unknown, hence the variable that represents the number is given as follows:
x.
Then an equality is built from the sentence in the problem, which is then solved to obtain the number.
The addition of 3 to a number is given as follows:
x + 3.
The triple the sum is given as follows:
3(x + 3).
The result is 17 more than the number, hence the equality is given as follows:
3(x + 3) = 17 + x.
Then the solution for the equality, which gives the number, is obtained as follows:
3x + 9 = 17 + x
3x - x = 17 - 9
2x = 8
x = 8/2
x = 4.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
What is 79 to the nearest 10?
79 rounded to the nearest 10 is 80.
79 lies between 70 and 80. 75 is exactly half-way between 70 and 80, and 79 is between 75 and 80. So 79 is closer to 80 than 70 on the number line and it rounds up to 80.
70 , 71 , 72 , 73 , 74 , 75 , 76 , 77 , 78 , 79 , 80
We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
If the last digit is 0, then we do not have to do any rounding, because it is already rounded to the ten.
Therefore, 79 rounded to the nearest ten = 80.
Learn more about nearest numbers here :
https://brainly.com/question/17331539
#SPJ4
Colinda has just purchased her first home for $125,000. She put down a 20 percent down payment of $25,000 and took out a 5 percent 30-year mortgage for the rest. Her mortgage payment is $536. 82 per month. How much of her first monthly mortgage payment is amortization?.
Amortization makes up $120.15 of colinda's first monthly mortgage payment.
We must first determine the total amount of Colinda's mortgage in order to determine the amount of her first monthly mortgage payment, which is amortization. Her 20% down payment of $25,000 reduced the mortgage balance to $100,000 ($125,000 – $25,000).
The 30-year term and 5% interest rate on the mortgage result in a $536.82 monthly payment. The portion of the mortgage payment designated for amortization is the sum that is used to pay off the loan's principle; the remainder is used to cover interest.
We can use the following formula to determine the amortization part of the mortgage payment:
Amortization = (Mortgage Payment) - (Interest Payment)
Where:
The mortgage payment ($536.72) is made each month.
Monthly interest payments are computed using the following formula: (Amount of Mortgage) (12%) Interest Rate
When we enter the values, we obtain:
Amortization is calculated as ($536.72) - ($100,000) * (0.05/12)
$536.82 - $416.67 is the amortization.
Amount amortized : $120.15
To know more about percentage at :
brainly.com/question/24304697
#SPJ4
The coordinate 3 has a weight of 2, and the coordinate 9 has a weight of 1. Find the weighted average
For the coordinates and their weights, the weight average is 5
How to determine the weight average of the points?From the question, we have the following parameters that can be used in our computation:
Coordinates and weights
The coordinates and weights are then given as:
Coordinate 3 has a weight of 2Coordinate 9 has a weight of 1The weight average is then calculated as:
Weight average = Sum of (Weight * Coordinate)/Sum of Weights
Substitute the known values in the above equation
So, we have the following equation
Weight average = (3 * 2 + 9 * 1)/(2 + 1)
Evaluate the product in the above equation
So, we have the following equation
Weight average = (6 + 9)/(2 + 1)
Evaluate the sum in the above equation
So, we have the following representation
Weight average = (15)/(3)
Evaluate the quotient in the above equation
So, we have the following equation
Weight average = 5
Hence, the weight average of the coordinates is 5
Read more about average at
brainly.com/question/20118982
#SPJ1
leo reads 12 pages in 1/4 hour. what is the unit rate for pages per hour? For hours per page?
Answer:
3
Step-by-step explanation:
to find the rate you have to multiply the fraction so...
12 (the pages) times 1/4 (the hour) you get 3
Answer:
48 pages per hour; 3 hours per page
Step-by-step explanation:
A). You can find the unit rate for pages per hour by first multiplying the hours by its reciprocal, 4, which essentially becomes 1 hour and what you do to one side must be done to the other side, so multiplying 12 by 4 gets you 48 pages. Therefore, Leo reads 48 pages per hour.
B). To find hours per page, you do the same thing, except that this time, you divide 12 on each side because you are trying to find the hours per page. 12 pages divided by 12 gets you 1 page and dividing 1/4 by 12 is the same thing as multiplying 1/4 by 12 since when dividing fractions with another fraction, the method is to use the reciprocal of the second fraction (in this case, 1/12 becomes 12) and you change the sign to its inverse and you simplify. A helpful acronym you can use is this. KEEP IT, CHANGE IT, FLIP IT . You keep the first fraction as it is, change the sign to its inverse, and flip the second fraction (virtually, the reciprocal). Therefore, in this case, it becomes 1/4 times 12 and 12 divided by 4 is nothing but 3.
Thus, Leo takes 3 hours to read each page.
Hope this helped! :D
At a certain university, students who live in the dormitories eat at a common dining hall. Recently, some students have been complaining about the quality of the food served there. The dining hall manager decided to do a survey to estimate the proportion of students living in the dormitories who think that the quality of the food should be improved. One evening, the manager asked the first 100 students entering the dining hall to answer the following question. Many students believe that the food served in the diniog tall necds improvement. Do you think that the quality of food served here needs improvement, even though that would increase the cost of the meal plant? a. In this setting, explain how bias may have been introduced based on the way this convenience sample was selected and suggest how the sample could have been selected differently to avoid that bias. b. In this setting, explain how bias may have been introduced based on the way the question was worded and suggest how it could have been worded differently to avoid that bias.
Based on the provided information, a) bias is introduced through convenience sampling there could be specific variable associated with the first hundred students. It can be avoided by simple random sampling. b) bias is introduced through wording as it includes a negative consequence. It can be avoided by just asking for an opinion without any associated reasoning or consequences.
Bias refers to a deviation of feedback which is based on certain influences by the surveyor and respondent. Sampling bias or selection bias refers to a type of bias in which a researcher gathers a sample of respondents for a questionnaire that does not accurately represent the population. Survey bias refers to the way the question is phrased or formatted, leading people to choose a certain answer instead of another. In the given case,
a) A bias may have been introduced based on the way the convenience sample was selected as there could be specific variable associated with each of the first hundred students that walk into the dining room. The first hundred students could possibly like the food and that is the reason why they come early to the dining room. Selecting students at the dining room may also exclude the students who dislike the food and choose to eat elsewhere. A simple random sample can help avoid this bias. By randomly selecting students at the university campus would provide a more inclusive and true representation of the population.
b) A bias may have been introduced based on the way the question is worded is to maintain the current meal plan as it presents a negative consequence to introducing a new meal plan. It states that a new meal plan would result in more cost. In order to avoid bias, the survey should ask students opinion about the food without introducing any external reasoning.
Learn more about Bias:
https://brainly.com/question/4503048
#SPJ4
60 POINTS ANSWER THE QUESTION FOR BRAINLIST AND HEARTS, USE MY GRAPTH PLS!
Answer:
Step-by-step explanation:
What is the product of the complex numbers (- 3i 4 and 3i 4?
The product of these two complex numbers is calculated by multiplying the real numbers and imaginary parts separately and then combining them, resulting in -25.
Step 1: Multiply the real parts: (-3i * 3i = -9i^2
Step 2: Multiply the imaginary parts: 4 * 4 = 16
Step 3: Combine the results: -9i^2 + 16 = -25
(-3i * 3i) + (4 * 4) = -9i^2 + 16 = -25
Complex numbers consist of two parts - a real part and an imaginary part. To find the product of two complex numbers, both the real and imaginary parts must be multiplied separately, and then the results combined. In this example, (-3i 4 and 3i 4), the real parts are multiplied together to get -9i2. The imaginary parts are multiplied together to get 16. These results are then combined to get the product of the complex numbers, which is -25. To complete the calculation, we must also take into account that the imaginary part is always multiplied by the coefficient i. This means that the result of the real part multiplication is -9i2, not just -9.
Learn more about real number here
https://brainly.com/question/10547079
#SPJ4