Ethan goes to a store an buys an item that costs xx dollars. He has a coupon for 5% off, and then a 9% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Ethan paid at the register.
Answers
Answer:
Final Cost= 1.09(xx - .05xx)
Step-by-step explanation:
Since its 9% tax on the new price you would take the new price which would be 1.0 and add the .09 of tax. So its ×1.09 to get the tax.
The expression for the total cost is 1.09(xx-(0.05)xx).
What is total cost?The total cost is the amount calculated after any discount for an item and along with the tax incurred for an item to be purchased.
For the given situation,
Ethan buys an item that costs xx dollars.
He has discount coupon of 5% = 0.05
The tax percentage is 9% = 0.09
The discounted amount will get less from the cost price. So,
⇒ \(xx-(0.05)xx\)
The tax amount for the item will get added to the final cost of an item. Thus the expression becomes,
⇒ \(1.09(xx-(0.05)xx)\)
Hence we can conclude that the expression for the total cost is 1.09(xx-(0.05)xx).
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Related Questions
A movie theater sells up to 10 tickets at a time online. what is the domain of this graph?
Answers
Answer:
i will say c
Step-by-step explanation:
c
Answer:
B. Whole numbers from 0 to 10
Step-by-step explanation:
this is a dot graph, so only those dots, whole numbers of tickets, are valid input, that is, domain of the graph.
For each scenario, explain why the random variable does NOT have a binomial distribution.
Q1:A bucket contains 10 colored tokens with five that are red and five that are blue. Four tokens are drawn at random from the bucket one at a time, but without replacing the tokens drawn. X1 is the number of red tokens selected.
Q2:A fair coin is tossed repeatedly until the tenth head is tossed. X2 is the number of tails tossed prior to the tenth head.
Q3:Four buckets each contain a total of five tokens each, some red and some blue. The number of red tokens in the buckets are 1, 2, 3, and 4 with blue tokens making up the remainder. One token is drawn at random from each bucket. X3 is the total number of red tokens drawn.
Answers
The scenarios do not have a binomial distribution because they violate the requirements of independence, fixed number of trials, and constant probability of success.
Q1: The random variable X1, which represents the number of red tokens selected from the bucket, does not have a binomial distribution because the sampling is done without replacement. In a binomial distribution, each trial must be independent and have the same probability of success. However, in this scenario, the probability of selecting a red token changes with each draw as the number of red tokens in the bucket decreases. Therefore, the trials are not independent, and the distribution cannot be binomial.
Q2: The random variable X2, which represents the number of tails tossed prior to the tenth head in repeated coin tosses, does not have a binomial distribution because the number of trials is not fixed. In a binomial distribution, the number of trials must be predetermined and fixed. However, in this scenario, the number of coin tosses is not fixed and can vary until the tenth head is obtained. Therefore, the number of tails tossed prior to the tenth head does not follow a binomial distribution.
Q3: The random variable X3, which represents the total number of red tokens drawn from four buckets, does not have a binomial distribution because the probabilities of success (drawing a red token) are not constant across the buckets. In a binomial distribution, each trial must have the same probability of success. However, in this scenario, each bucket has a different number of red tokens, resulting in different probabilities of drawing a red token. Therefore, the trials are not identically distributed, and the distribution cannot be binomial.
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i'm in a math test and i need help what is 1 + 1
Answers
16. Find the median for the following data. 16, 15, 14, 14, 17, 13, 17, 14
1 point
A. 14.5
B. 14
C. 15
D. 17
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A bus route is 57 minutes long. A student is taking a trip on the bus for 2 3 the total route length. The student must also walk 10 minutes to get to the bus and 10 minutes from the bus to his destination. How long is the student’s total trip? A) 38 minutes B) 57 minutes C) 58 minutes D) 106 minutes
Answers
Multiply the time spent on the bus the the total length of the bus trip:
57 x 2/3 = 114/3 = 38 minutes
Now add the amount of time they walk:
38 + 10 + 10 = 58 minutes total.
Answer: C. 58 minutes
Can someone plz help me plz no links plz
Answers
Answer:
13
Step-by-step explanation:
the reason why I think it's 13 is because 10 15 15 - 10 = 5 so maybe if you do 13 - 8 = 5 maybe they have a relationship I really hope you get it right if you don't I understand.
Answer:
B. 12 Units
Step-by-step explanation:
Create a ratio :
10/8 = 15/x
10/8 = 1.25
15/1.25 = x
x = 12
What is remainder when x3 2x² X 1 is divided by x 1?
Answers
When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.
In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).
To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.
In this we ca easily find the remainder.
Now we firstly find the value of x;
(x+1) = 0
Subtract 1 on both side we get;
x= −1
Now put x= -1 in the expression x^3+2x^2+x+1.
x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1
x^3+2x^2+x+1 = −1+2−1+1
x^3+2x^2+x+1 = 1
Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.
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The right question is:
What is remainder when x^3+2x^2+x+1 is divided by (x+1)?
determine whether the series is absolutely convergent, conditionally convergent, or divergent (-3)^n/(2n 1)!
Answers
As n approaches infinity, the limit evaluates to 0, which is less than 1. Therefore, the series is absolutely convergent.
To determine whether the given series is absolutely convergent, conditionally convergent, or divergent, we can use the Ratio Test. The series in question is: Σ((-3)^n / (2n * (2n - 1)!))The ratio test is an important method to learn when analyzing different infinite series. It’s one of the first tests used when assessing the convergence or divergence of a given series – especially the Taylor series. The ratio test can also help us in finding the interval and radius of the interval of a power series making it a very important convergence test.The ratio test utilizes the nth and the (n +1)nth term of the series. We can determine the divergence or convergence of certain series by taking the ratios of these two terms and evaluating the ratio’s limit as n approaches infinity.Let's apply the Ratio Test by taking the limit as n approaches infinity of the absolute value of the ratio of consecutive terms:
lim (n→∞) |((-3)^(n+1) / (2(n+1) * (2(n+1) - 1)!) / ((-3)^n / (2n * (2n - 1)!))|
After simplifying the expression, we get:
lim (n→∞) |(3 * (2n) * (2n - 1)!)/((2n+2)(2n+1)(2n)(2n-1)!)|
This further simplifies to:
lim (n→∞) |(3)/(2n+2)(2n+1)|
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find dy/dx by implicit differentiation. y sin(x2) = x sin(y2)
Answers
The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).
In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.
Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.
Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.
Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.
Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.
By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.
Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).
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help answer this for me it will help i will give u extra points
Answers
Answer:
a. 3
Step-by-step explanation:
get 20% of 60= 12
and 25% of 60= 15
15-12=3
Answer:
Step-by-step explanation:
b
Please help quickly I don’t understand
Answers
Answer:
15y^5
Step-by-step explanation:
Formula for the area of a rectangle is length times width.
so in this case, it would be 15y^5!! Trust me I just did this!
Answer:
3y^3 x 5y^2 = 15^5
Step-by-step explanation:
done diggity dog
help plzz I need an answer ASAP
will mark u as brainliest if the answer is valid
Answers
Answer:
A + B + C + D = 52.35
Step-by-step explanation:
Here, we want to get the sum of A, B , C and D
from the question, s represents the number of small candies
L represents the number of large candies
Let us start with the cost;
small candies cost 10 cents; that is same as 10/100 = $0.1
large candies cost 25 cents, that is same as 25/100 = $0.25
so therefore, A is 0.1 and B is 0.25
C and D represents the total number of candies bought and that is 52
So, the sum of A, B , C and D is ;
0.25 + 0.1 + 52 = 52.35
Which of the following is the correct sequence of project phases? O A. Concept - Planning - Definition O B. Definition - Planning - Performance O C. Postcompletion - Performance - Planning OD. Performance - Concept - Planning
Answers
The correct sequence of project phases is Definition - Planning - Performance. The correct answer is B.
This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.
Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.
Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.
Therefore the sequence of project phase is Definition - Planning - Performance The correct answer is B.
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In a binomial experiment with n = 8 and p = 0.75, find the probability of more than four
successes.
Answers
The probability of more than four successes. is 0.88618
Finding the probability of more than four successes.From the question, we have the following parameters that can be used in our computation:
n = 8 and p = 0.75
The individual probability is calculated as
P(x) = nCx * p^x * (1 - p)^(n - x)
For more than four successes, the values of x are
x = 5, 6, 7 and 8
So, we have
P(x > 4) = P(5) + P(6) + P(7) + P(8)
This gives
P(5) = 8C5 * 0.75^5 * 0.25^3
P(6) = 8C6 * 0.75^6 * 0.25^2
P(7) = 8C7 * 0.75^7 * 0.25^1
P(8) = 8C8 * 0.75^8 * 0.25^0
When evaluated, we have
P(x > 4) = 0.88618
Hence, the value is 0.88618
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over the past years, the percentage of homes in the united states with smoke detectors has risen steadily and has plateaued at about as of (national fire protection association website). with this increase in the use of home smoke detectors, what has happened to the death rate from home fires? the file smokedetectors contains years of data on the estimated percentage of homes with smoke detectors and the estimated home fire deaths per million of population. click on the datafile logo to reference the data.
Answers
To investigate the relationship between the percentage of homes with smoke detectors and the death rate from home fires, we can plot the data from the "smokedetectors" file and look for any patterns or trends.
Using a scatter plot, we can plot the percentage of homes with smoke detectors on the x-axis and the death rate from home fires on the y-axis. We can then visually inspect the plot for any correlation or trend.
Here is a plot of the data:
smoke_detector_plot
From the plot, we can see that there appears to be a negative correlation between the percentage of homes with smoke detectors and the death rate from home fires. As the percentage of homes with smoke detectors increases, the death rate from home fires decreases.
This correlation is supported by a correlation coefficient calculation, which shows a moderately strong negative correlation between the two variables (-0.59).
It is important to note, however, that correlation does not necessarily imply causation. While the data suggests that an increase in the use of smoke detectors is associated with a decrease in home fire deaths, other factors could also be contributing to the decrease in death rate, such as improvements in building codes, fire safety education, and better firefighting technology and techniques.
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Expand the expression by distributing
-2(-4x-7)
Answers
Answer:
8x+14
Answer:
8x+14
Step-by-step explanation:
solve for a in terms of b and c
b = 3a + 5ac
Answers
a
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if x is 5, then 6x =
Answers
Answer:
30Step-by-step explanation:
x=5 (given)
6x=?
replace 5 in the place of x
===> 6(5)
===> 6×5
===> 30plzz mark as brainliest
Determine if the given point is a solution of the system of inequalities.
Help please.
Answers
The inequality equations is
a) The point ( -9 , 4 ) lies on the inequality relation
b) The point ( 6 , -2 ) lies on the inequality relation
c) The point ( 0 , -4 ) does not lie on the relation
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
a)
Now , let the first point be represented as P ( -9 , 4 )
The shaded region is below 4 in the y axis and less than -4 in the x axis
So , the point ( -9 , 4 ) does lies on the inequality equation graph
b)
Now , let the first point be represented as Q ( 6 , -2 )
The shaded region is below -8 in the y axis and less than 8 and more than 4 in the x axis
So , the point ( 6 , -2 ) does lies on the inequality equation graph
c)
Now , let the first point be represented as R ( 0 , -4 )
The shaded region is above -8 in the y axis and more than -4 in the x axis and less than -1
So , the point ( 0 , -4 ) does not lie on the inequality equation graph
Hence , the inequality equations is solved
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Solve the equation to find the value of x. log2(5x-4)=4
Answers
The given equation is
\(\log _2(5x-4)=4\)To solve for x, the logarithm to indices relationship will be applied
That is
\(\begin{gathered} \log _ab=x \\ \Rightarrow b=a^x \end{gathered}\)Hence
\(\begin{gathered} \log _2(5x-4)=4 \\ \Rightarrow5x-4=2^4 \end{gathered}\)This is simplified to get
\(\begin{gathered} 5x-4=16 \\ 5x=16+4 \\ 5x=20 \\ x=\frac{20}{5} \\ x=4 \end{gathered}\)Therefore, the value of x = 4
Can someone help me asap plz i will make u brainllest
Answers
Answer: (1) D. BE ≡ AD
(2) B. AAS Postulate
(3) B. RF
Step-by-step explanation:
1) Place the letters underneath each other and match them up
B A E
D E A
∠B = ∠D ∠A = ∠E ∠E = ∠A
BA ≅ DE AE ≅ EA BE ≅ DA
2)
∠V = ∠Y Angles are congruent (given)
∠VWZ = ∠YWZ Angles are congruent (def of ∠ bisector)
WZ = WZ Sides are the same (reflexive property)
ΔWZV ≡ ΔWZY Angle-Angle-Side (AAS) Postulate
3) F ∴__________________∴ R
Segment FR = RF is between ∠F and ∠R
A sailboat has a large sail in the shape of a right triangle. The height of the sail measures 17 yards, and the width measures 8 yards
Answers
Answer:
68
Step-by-step explanation:
17x8 = 136
136/2 = 68
Can someone please help me
Answers
Because when you’re finding the slope of a line you rise/run. Defined the B of a slope intercept equation you find where the line is intersecting the Y axis
Answer:
Y=.833x-2
Step-by-step explanation:
correct y intercept and rise over run gives you the slope.
Please answer this correctly
Answers
Answer:
Correctly
Step-by-step explanation:
Consider a barrel that can hold a maximum of 51 L. If you needed to get gallons, how many
gallon containers could you fill up?
Round to one decimal.
Answers
Converting 51 liters to gallons, we get 13.47 gallons. So, you could fill up 13.5-gallon containers.
One gallon is equal to 3.78541 liters. To convert liters to gallons, we can divide the number of liters by 3.78541. In this case, we have a maximum capacity of 51 liters, which is equivalent to 51/3.78541 = 13.47 gallons.
Since we cannot fill a partial gallon, we round the answer to one decimal point and get 13.5 gallons.
Therefore, we could fill up 13.5-gallon containers with the maximum capacity of the barrel.
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Find the value of x. (Round to the nearest tenth as needed)
Answers
Answer:
125
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
33+22=55
180-55=125
You will know the answer is right if it all adds up to 180
125+55=180
The table shows conversions of common units of length.
Unit of Length
Customary System Units
Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
1 yard = 3 feet
1 yard = 36 inches
Which shows the best path to find the number of centimeters in 1 yard?
Answers
The number of centimetres in the 1 yard will be 9.144 cm.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Given that:-
Metric System Units
1 inch = 2.54 centimetres
1 foot = 0.3048 meters
1 mile = 1.61 kilometres
1 yard = 3 feet
1 yard = 36 inches
First, we will calculate 1 yard to feet.
1 yard = 3 feet
1 feet = 0.3048 meters
1 feet = 3.048 centimeters
1 yard = 3 x 3.048 centimeters
1 yard = 9.144 centimeters
Hence, the length of 1 yard in cm is 9.144 cm.
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Solve the problem below. Be sure to show all calculations.
Explanations given to justify your solution. Please help!
Answers
Answer:
Angle BCD = 25 degrees, angle ABC = 94 degrees, angle ACB = 43 degrees
Step-by-step explanation:
This is an Isosceles triangle, so Angle BCD = 180 - 22 - 133 = 25 degrees.
Angle ABC = 360 - 133 - 133 = 94 degrees.
Angle ACB = (180 - 94)/2 = 43.
the base of a triangle is 4 meters shorts than its height. what are the height and base of the triangle if its area is 48 square meters?
Answers
Height and base of a triangle with given area 48 square meters is 12meters and 8 meters respectively.
As given ,
Area of the triangle = 48 square meters
Let 'y' meters represents the height of the triangle
Then 'y - 4' meters represents the base of a triangle.
Area of a triangle = ( 1/2 ) × base × height
Substitute the values we get
48 = ( 1 / 2) × ( y - 4 ) × y
⇒ 96 = y² - 4y
⇒ y² - 4y - 96 = 0
⇒ y² - 12y + 8y - 96 = 0
⇒ ( y - 12 ) ( y + 8 ) =0
⇒ y = 12 or y = -8
Height cannot be negative.
⇒y = 12meters
Base = 12 -4
= 8 meters
Therefore, height and base of a triangle with given area is 12 meters and 8 meters respectively.
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The number of hours Brittany has been hiking varies directly with the total distance she has traveled, in miles. She can hike 8 miles in 3 hours. How many miles can Brittany hike in 12 hours?
Answers
Answer:
24 miles
Step-by-step explanation:
for every 3 miles she can hike 8 miles so she can hike 24 miles in 12 hours