Sun lei bought a laptop computer for 1500$. The total cost, including tax, came to $1590. What is the tax rate
Answers
Step 1:
Given data
Cost of laptop = $1500
Total cost = $1590
Step 2
Find the tax
Tax = $1590 - $1500
Tax = $90
Step 3
Next, find the tax in percentage
\(\begin{gathered} \text{Tax rate = }\frac{9}{1500}\text{ }\times\text{ 100\%} \\ =\text{ }\frac{900}{1500} \\ =\text{ 0.6\%} \end{gathered}\)Related Questions
3.
Find the area of the circle. Round your answer to the nearest tenth.
Answers
Answer:
271.7
Step-by-step explanation:
To find the are of a circle you must use
the formula πr2
r=9.3
π= 3.14≈
So, π x 9.3^2= 271.7
this equation which is || = -10 ?
Answers
Answer:
10
Step-by-step explanation:
Eight times the difference of y and nine
Answers
Answer:
(y-9)8
Step-by-step explanation:
you first solve 8-9, and then multiply is by 8.
Eight times the difference of y and nine will be 8(y - 9).
It should be noted that eight times the difference of y and nine simply means that one has to subtract 9 from y and then multiply the difference by 8.
Therefore, eight times the difference of y and nine will be 8(y - 9).
In conclusion, the correct option is 8(y - 9).
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Lewis goes shopping with £25.He spends £12 on a present and then meets a friend for coffee. He needs to save £10.What is the maximum amount of money he can spend on the coffee shop
Answers
Answer:
He can spend £3
Step-by-step explanation:
25 - 12 = 13
13 - 10 = 3
question in the picture
Answers
Answer:
2) Minimum = 15
Lower Quartile = 19
Median = 30.5
Upper Quartile = 45
Maximum = 62
3) Minimum = 82
Lower Quartile = 89
Median = 99.5
Upper Quartile = 112.5
Maximum = 120
Step-by-step explanation:
A box and whisker plot (also known as a "box plot"), is a graph displaying the distribution of a set of data based on a five number summary.
Five-number summaryMinimum: The minimum data value.Lower Quartile: The median of the data points to the left of the median.Median: The middle value when all data values are placed in order of size.Upper Quartile: The median of the data points to the right of the median. Maximum: The maximum data value.\(\hrulefill\)
Question 2Given data set:
45, 30, 22, 15, 18, 62, 19, 31, 50, 44To calculate the values of the five-number summary, order the given data values from smallest to largest:
15, 18, 19, 22, 30, 31, 44, 45, 50, 62There are 10 data values in the data set, so this is an even data set.
As there are an even number of data values, the median is the mean of the middle two values, 30 and 31:
\(\sf Median=\dfrac{30+31}{2}=30.5\)
The lower quartile is the median of the data points to the left of the median. Therefore:
Lower Quartile = 19The upper quartile is the median of the data points to the right of the median. Therefore:
Upper Quartile = 45Therefore, the five-number summary of the given data set is:
Minimum = 15Lower Quartile = 19Median = 30.5Upper Quartile = 45Maximum = 62To draw the box-and-whisker plot (see attachment 1):
Label the ticks of the given number line from 5 to 65 in increments of 5.Draw a box from the lower quartile (19) to the upper quartile (45).Add the median (30.5) as a vertical line through the box.The whiskers are horizontal lines from each quartile to the minimum (15) and maximum values (62).\(\hrulefill\)
Question 3Given data set:
120, 108, 96, 82, 115, 88, 90, 120, 110, 99, 84, 100To calculate the values of the five-number summary, order the given data values from smallest to largest:
82, 84, 88, 90, 96, 99, 100, 108, 110, 115, 120, 120There are 12 data values in the data set, so this is an even data set.
As there are an even number of data values, the median is the mean of the middle two values, 99 and 100:
\(\sf Median=\dfrac{99+100}{2}=99.5\)
The lower quartile is the median of the data points to the left of the median. As there is an even number of data points to the left of the median, the lower quartile is the mean of the middle two values, 88 and 90:
\(\sf Lower\;Quartile=\dfrac{88+90}{2}=89\)
The upper quartile is the median of the data points to the right of the median. As there is an even number of data points to the right of the median, the upper quartile is the mean of the middle two values, 110 and 115:
\(\sf Upper\;Quartile=\dfrac{110+115}{2}=112.5\)
Therefore, the five-number summary of the given data set is:
Minimum = 82Lower Quartile = 89Median = 99.5Upper Quartile = 112.5Maximum = 120To draw the box-and-whisker plot (see attachment 2):
Label the ticks of the given number line from 70 to 130 in increments of 5.Draw a box from the lower quartile (89) to the upper quartile (112.5).Add the median (99.5) as a vertical line through the box.The whiskers are horizontal lines from each quartile to the minimum (82) and maximum values (120).
Simplify 0, -6 please :(
Answers
Answer:
-4
3+I
Step-by-step explanation:
×>-4+3
(2y+2)(y-3)
6-70. To solve the following problem, use the 5-D Process. Define a variable and
write an expression for each column of your table.
In the first three football games of the season, Carlos gained three times as many
yards as Alston. Travis gained ten yards more than Carlos. Altogether, the three
players gained a total of 430 yards. How many yards did Carlos gain? Homework
(show all work)
Help
Alston =
Carlos =
Travis =
Answers
Yards earned by, Alston = 60, Carlos = 180, Travis =190.
What is 5-D process?The 5-D Process is an organized method lead to write equations to solve real world problems. The 5-D’s stand for Describe/Draw, Define, Do, Decide, and Declare.
In the first three football games of the season, Carlos gained three times as many yards as Alston.
Travis gained ten yards more than Carlos.
Altogether, the three players gained a total of 430 yards.
Let consider yards gained by Alston as x.
yards earned by Carlos = 3x.
Yards earned by Travis = 3x+10.
The total number of yards earned by them are 430.
⇒x+3x+3x+10 = 430
⇒x=60
Hence, yards earned by Alston = 60, Carlos = 180, Travis =190.
The three trials are determined in the table based on 5-D process.
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Using the diagram below, what is the length of AC
Answers
9514 1404 393
Answer:
B. 4 mi (the correct answer is marked)
Step-by-step explanation:
Corresponding sides are proportional:
AC/EC = AB/ED
AC = EC×AB/ED = (12 ft)×(7 mi)/(21 ft) = (84/21) mi
AC = 4 mi
_____
There is no need to convert from miles to feet, or vice versa, in this problem. The units of ft/ft cancel, so the resulting units associated with the numerical value are miles. (If the unwanted units don't cancel the proportion is written incorrectly.)
uestion 5 (1 point) Find the following Quadratic Regression for the following set of data
(-1,8), (5,-4), (7,8), (2,-6)
A. y= = 2x² - 6x + 2 2
B. y = .96x² - 5.77x + 1.38
C. y = -5.77x² + 1.38x+.96
D. y = 5x + 10
Answers
The quadratic regression equation is y = 1.38x^2 - 5.77x + 0.96
How to determine the quadratic regression equationFrom the question, we have the following parameters that can be used in our computation:
(-1,8), (5,-4), (7,8), (2,-6)
Using a graphing calculator, we have the following summary:
function value
mean of x 3.25
mean of y 1.5
correlation coefficient r 0.9990171837
A 1.380577428
B -5.769028871
C 0.9553805774
The equation is represented as
y = ax^2 + bx + c
So,, we habe
y = 1.38x^2 - 5.77x + 0.96
Hence, the equation is y = 1.38x^2 - 5.77x + 0.96
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(20 Points)
In circle P, M^ ADB is 25°.
What is the m^ APB ?
☁︎
A:65
☁︎
B:40
☁︎
C:25
☁︎
D:50
Answers
Given:
In circle P, m∠ADB is 25°.
To find:
The m∠APB.
Solution:
Central angle theorem: According to this theorem, the central angle of an arc is twice of inscribed angle of the same arc.
From the given figure it is clear that the ∠APB is the central angle and ∠ADB is the inscribed angle on the arc AB.
By using the central angle theorem, we get
\(m\angle APB=2\times m\angle ADB\)
\(m\angle APB=2\times (25^\circ)\)
\(m\angle APB=50^\circ\)
Therefore, the correct option is D.
graph the circle which is centered at (-1 -3) and which has the point (-7 -3) on it
Answers
Answer and Step-by-step explanation:
The answer is in the attached photo.
The center is at (-1, -3), and it will have a point on (-7, -3)
#teamtrees #PAW (Plant And Water)
The unconditional probability of event A is 1/2. The unconditional probability of event B is 1/3. Say whether each of the following is true or false, and explain why.
(a) If A and B are independent, the chance that they both happen must be 1/2 x 1/3 = 1/6.
(b) If A and B are independent, the chance that at least one of them happens is 1/2 + 1/3 = 5/6.
(c) A and B cannot be both independent and mutually exclusive. The case is not possible.
Answers
NO LINKS!!!!
An average classroom holds 36 students. Make a complete graph showing the relationship between the number of students in a school and the average number of classrooms required.
Answers
Answer: See graph below.
==================================================
Explanation:
x = number of students in a schooly = number of classroomsEach classroom holds 36 students on average. If we had 36 students in the school, then we'd need only one classroom. We can express this as 36/36 = 1 so we can build to the next step.
If we had 72 students, then we'd need 2 classrooms because 72/36 = 2.
If we had 108 students, then we'd need 3 classrooms since 108/36 = 3.
And so on. The values 36,72,108 are multiples of 36. The generalized rule is that if we had x students, then we'd need x/36 classrooms. If you get a decimal value, round up to the nearest whole number. If you round down, then you won't have enough room to fit the leftover students.
For example, let's say we had x = 50 students. Computing y = x/36 leads to y = 50/36 = 1.389 approximately. The temptation is to round down to y = 1 since 1.389 is closer to 1 than it is to 2; however, we'll have 50-36 = 14 students left over without a classroom. So that's why we round 1.389 up to 2 instead.
This action of rounding up to the nearest integer tells us that we'll apply the ceiling function to the result of x/36. Most books would show this notation as \(y = \lceil x/36\rceil\). The "bracket" bars on either side aren't exactly the standard square brackets you may be used to. Instead, they're only half of such. A piece of the lower portion isn't drawn. The upper portion is only drawn to indicate we round up rather than round down. Most graphing calculators and graphing software has a "ceil" or "ceiling" function built in.
What results is known as a step function or staircase function. We have a staircase without the vertical pieces because otherwise we wouldn't have a function (refer to the vertical line test). Note the use of open vs closed holes to indicate which points are excluded or included respectively.
What is the product of the expressions (3)(−2)(−5)(7)?
Answers
Answer:
210
Step-by-step explanation:
3*10*7
30*7
210
Remember when multiplying even number of negative terms, it cancels out the negative.
A sign in a bakery gives these options:
12 cupcakes for $29
24 cupcakes for $56
50 cupcakes for $129
a. Find each unit price to the nearest cent.
Answers
The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.
Define unitary methοd.Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.
Here,
We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:
Twelve cupcakes:
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> Unit cοst: $29 fοr 12 cupcakes.
=> $2.42 is the unit cοst per cupcake.
Tο make 24 cupcakes:
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> 24 cupcakes equals $56 fοr the unit.
=> $2.33 is the unit cοst per cupcake.
50 cupcakes =
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> $129 fοr a unit οf 50 cupcakes.
=> Unit cοst: $2.58 fοr each cupcake
As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.
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What is the area of this figure?
15 mm
4 mm
Submit
3 mm
3 mm
5 mm
5 mm
7 mm
8 mm
Write your answer using decimals, if necessary.
square millimeters
Answers
Convert 0.119cL to L
Answers
6 takeaway -3 equals what?
Answers
6 - (-3) = 6 + 3
6+3 = 9
9 is your answer
4n-11n=105
find the value of ‘n’
Answers
4n-11n=105
Calculate:
-7n=105
Divide -7 to both sides:
n=-15
Hope this helped!
Answer:
n = -15Step-by-step explanation:
4n-11n=105
Combine like terms *4n-11n* = -7n:-
-7n = 105Divide both sides by -7:-
-7n/-7=105/-7n = -15____________________
Hope this helps!
You can sand 4/9 square yard of wood in 1/2 hour. How many square yards can you sand in 3.2 hours? Justify your answer.
Answers
Answer:
4/9 = 1/2 x
Step-by-step explanation: 2.84 sands
Question 1Clare makes to 2 1/2 cups of water with 1/3 cups of orange juice concentrate. Han mixes 1 2/3 cups of water 1/4 cup of orange juice concentrate. Whose orange juice mixture tastes stronger? explain or show your reasoning
Answers
Clare makes to 2 1/2 cups of water with 1/3 cups of orange juice concentrate.
so, the unit rate is x = cubs of orange per cubs of water
\(x=\frac{1}{3}\div2\frac{1}{2}=\frac{1}{3}\div\frac{5}{2}=\frac{1}{3}\cdot\frac{2}{5}=\frac{2}{15}\)so, we need 2/15 cub of orange for each cub of water
Han mixes 1 2/3 cups of water 1/4 cup of orange juice concentrate.
so, the unit rate is x = cubs of orange per cubs of water
\(x=\frac{1}{4}\div1\frac{2}{3}=\frac{1}{4}\div\frac{5}{3}=\frac{1}{4}\cdot\frac{3}{5}=\frac{3}{20}\)Now compare the unit rate for each 2/15 and 3/20
Convert to decimal:
\(\begin{gathered} \frac{2}{15}=0.1333_- \\ \\ \frac{3}{20}=0.15 \\ So \\ \\ 0.15>0.1333_- \\ \\ \frac{3}{20}>\frac{2}{15} \end{gathered}\)So, the stronger taste will be the mixture with the large unit rate which is 3/20
So, The mixture of Han has the stringer taste
Royce kept track of the inches of snowfall in his town over a 15-day period. Royce’s data is given below. 1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3 Which box plot shows this data set?
Answers
Answer:
The correct option - Figure A
Step-by-step explanation:
The exact question is as follows :
Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
To find - Which box plot shows this data set?
Solution -
Given the data is -
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
Firstly,
Arrange the data from smallest to largest
0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7
Now,
Find the median
Median is the middle value - i.e. (15 + 1)/2 = 8th value
So, we get Median = 2
Now,
Find the Quartile -
The first quartile is the median of the data points to the left of the median.
i.e. Median of 0, 0, 0, 0, 0, 1, 1
so, we get
Q1 = 0
The third quartile is the median of the data points to the right of the median.
i.e. Median of 2, 2, 2, 3, 3, 5, 7
so, we get
Q3 = 3
Now,
Compute the min and the max
Minimum value = 0
Maximum value - 7
So,
five number summary is -
0, 0, 2, 3, 7
And we draw the box as follows -
So,
The correct option - Figure A
Which one of these relationships is different than the other three?
A
B
C
D
Answers
Answer:
B differs from the others
Step-by-step explanation:
The other lines all have slopes of 5. Graph b has a slope of 5.5
A grade school class is nearing the final round of musical chairs. 5 students are left and there are 3 chairs available. How many combinations could be made of these 5 students in the 3 chairs?
Answers
Answer:
15
Step-by-step explanation:
its as simple as the numbers time each other
5x3=15
HELP MEEEE PLEASE!!
Company A charges $20.40 monthly for up to 3 gigabytes of data and $9.80 per additional gigabyte. Company B charges $18.60 monthly for up to 3 gigabytes of data and $10.10 per additional gigabyte. For what number of additional gigabytes would the two companies charge the same amount?
_________ additional gigabytes of data
Answers
Considering the definition of an equation and the way to solve it, for 6 additional gigabytes of data the two companies would charge the same amount.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.This caseBeing "x" the number of miles driven, and knowing that:
Company A charges $20.40 monthly for up to 3 gigabytes of data and $9.80 per additional gigabyte. → Price of company A= 20.40 +9.80xCompany B charges $18.60 monthly for up to 3 gigabytes of data and $10.10 per additional gigabyte.→ Price of company B= 18.60 +10.10xIf the price charged by each company is the same, the equation is:
Price of company A= Price of company B
20.40 +9.80x= 18.60 +10.10x
Solving:
20.40 - 18.60= 10.10x - 9.80x
1.8= 0.3x
1.8 ÷ 0.3= x
6= x
Finally, for 6 of additional gigabytes the two companies would charge the same amount.
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Find the area and perimeter of the parallelogram. (Hint: Don't forget your units!)
7 cm
8 cm
4 cm
Answers
The area and perimeter of the parallelogram are: 56 square units and 30 units respectively
What is a parallelogram?In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) 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
The parameters that will help us do the math are
base = 7
height = 8
Area = 8*7 = 56 square units
perimeter 2b + 2h
perimeter = 2*7 + 2*8
= 14 +16
P = 30 units
Therefore, the perimeter of the parallelogram and area are 30 units and 56 square units
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??????help please thanks
Answers
Answer:
The choice 66
Step-by-step explanation:
\(6x + 2m \\ 6(14) + 2( - 9) \\ 84 - 18 \\ = 66\)
34.321 greater than 34.3211
Answers
Answer:
It's not
Step-by-step explanation:
To know this, you have to put a zero to the right.
So it'd be 34.3210, and as you can see, 34.3211 is greater
Which linear function represents a slope of ? A two column table with five rows. The first column, x, has the entries, 3, 6, 9, 12. The second column, y, has the entries, negative 11, 1, 13, 25. A coordinate plane with a straight line with a positive slope passing through (0, 3), (4, 4), and (8, 7). A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8. A coordinate plane with a straight line with a positive slope passing through (2, 0), (3, 4), and (4, 8)
Answers
The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.
Which answer choice has a slope of -2?It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.
Since slope is the rate of change in y with respect to x;
The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;
Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.
Remarks: The complete question is such that the required slope is -2.
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Answer: the second option
Step-by-step explanation:
i took the assignment
Carla asked students at a lunch table what their main course they liked. Out of these students, 28n liked pizza, 15 liked chicken nuggets, and 8 liked both. what is the probability that a randomly selected student will like pizza but not chicken nuggets?
Answers
The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.
To find the probability that a randomly selected student will like pizza but not chicken nuggets.
Let P = the number of students who like pizza but not chicken nuggets
Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets
P = 28n - 8
So, the probability that a randomly selected student will like pizza but not chicken nuggets is:
P(Pizza but not nuggets) = P/(Total number of students)
We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:
Total number of students = 28n + 15 - 8 = 28n + 7
So, the probability that a randomly selected student will like pizza but not chicken nuggets is:
P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)
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