A percentage is a way to describe a part of a whole. The amount that Kelly will pay for the dress is $33.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given Kelly wants to buy a dress that costs $40.00. She has a coupon for 25% off, and there is a 10% sales tax. Therefore, the amount she will pay is,
25% of $40.00 is,
0.25 × $40 = $10
After using the coupon, the sale price is,
$40 - $10 = $30
The 10% tax on the sale price is,
0.10 × $30 = $3
The final price is $
$30 + $3 = $33
Hence, the amount that Kelly will pay for the dress is $33.
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options for 1 or two are not available but i got c= radical 125
Answer:
[tex]c=4 \sqrt{2}[/tex]
Step-by-step explanation:
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangleGiven values:
a = 4b = 4Substitute the given values into Pythagoras Theorem formula and solve for c:
[tex]\begin{aligned}a^2+b^2 & = c^2 \\\implies 4^2+4^2 & =c^2\\16+16 & =c^2\\32 & =c^2\\ \sqrt{c^2}& =\sqrt{32}\\ c & =\sqrt{16 \cdot 2}\\& = \sqrt{16}\sqrt{2}\\& =4\sqrt{2}\end{aligned}[/tex]
Therefore, the measure of the third side of the given right triangle is [tex]4 \sqrt{2}[/tex]
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On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).
Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.
x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1
y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1
Where is the fruit market?
6th Street and 11th Avenue
10th Street and 17th Avenue
9th Street and 15th Avenue
8th Street and 14th Avenue
Answer:
The Fruit market is at - 6th Street and 11th Avenue
Step-by-step explanation:
Distance is a numerical measurement of how far apart objects or points are. to find the distance between two points is the length of the line segment connecting them we use distance formula.
for example :-
if (x, y) and (p, q) are the two points joining the line segment then distance between them is given by the formula :-
[tex]\sqrt{(p- x)^2 + (q-y)^2}[/tex] this is known as the distance formula.
using the above formula :
distance between points (4, 8) and (12, 20) is:
[tex]\sqrt{(12-4)^2 + (20-8)^2}[/tex]
√(8² + 12²)
√208
14.42
Now the fruit market is Three-fourths the distance between Tia’s home to Lei's home.
therefore,
3/4×14.42 = 10.8
now we can check that option (A ) i.e. (6, 11) distance from lei home i.e. (12, 20) is equal to 10.8
hence the fruit market is at the = 6th Street and 11th Avenue
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Answer:
A
Step-by-step explanation:
If a varies directly as the square of b, and a = 4 when b = 3, find a when b = 2
Answer:
a = 46. Look down to find out more↓:
Step-by-step explanation:
a = kb²
4 = k(3)²
4 = k9
k = 4/9
a = 4/9(9²)
a = 4/9 (81)
a = 324/9
a = 36
The histogram to the right represents the weights (in pounds) of members of a certain high-school math team.
How many team members are included in the histogram?
Answer:
The basic way to calculate the number of members is finding the area under the curve. The total members are 20
Step-by-step explanation:
The given graph shows that how many team members have a particular weight.
The first rectangle shows that 5 team members have a weight of 115kg.
The second rectangle shows that 3 team members have a weight of 115kg.
The third rectangle shows that 2 team members have a weight of 115kg.
The forth rectangle shows that 0 team members have a weight of 115kg.
The fifth rectangle shows that 3 team members have a weight of 115kg.
The sixth rectangle shows that 4 team members have a weight of 115kg.
The seventh rectangle shows that 3 team members have a weight of 115kg.
So, the total team members are = 5 + 3 + 2 + 0 + 3 + 4 + 3 = 20
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In MODE, (second line), fix the number of decimal places to be 2. Then the slope and the y-intercept values of the LinReg line will round to the nearest hundredth. Find the LinReg line of best fit for the National Health Expenditures data. Then predict national health expenditures for 2010. (Hint: You may have to expand the calculator window to include the year 2010 on your screen.)
The equation of line is y = 92x – 182631. The slope is 92 and the y-intercept is the negative 182631. And the health expenditure in 2010 will be 2289.
What is the equation of a line passing through two points?Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by
[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]
In MODE, (second line), fix the number of decimal places to be 2.
Then the slope and the y-intercept values of the Lin Reg line will round to the nearest hundredth.
(x₁, y₁) → (1997, 1093)
(x₂, y₂) → (2002, 1553)
Then we have
y – 1093 = [(1553 – 1093) / (2002 – 1997)] (x – 1997)
y – 1093 = [460 / 5] (x – 1997)
y – 1093 = 92 (x – 1997)
y = 92x – 182631
If x = 2010, then the value of y will be
y = 92 × 2010 – 182631
y = 184920 – 192631
y = 2289
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If c = 7, then the value of b is...
3.5
Step-by-step explanation:The triangle shown is a 30-60-90 special right triangle. All right triangles that have a 30-degree angle will be, but if needed you can use the equation: 180 - (90 + 30) = x, to find the missing angle.
Special Right Triangles
Special right triangles are useful because they allow us to easily find missing sides without having to use sin, cos, or tan. All special right triangles have formulas that can be used to find missing sides.
Formulas
30-60-90 triangles have 3 sides: the hypotenuse (c), the short leg (b), and the long leg (a).
The formulas are as follows:
c = 2bb = 0.5ca = b[tex]\sqrt{3}[/tex]Solving for b
We are already given c, so the easiest way to find b is to use the formula b = 0.5c. Just plugin the c-value.
b = 0.5(7)Once simplified the final answer is
b = 3.5HELPPPP ASAAPPPP PLEASEEEE
(A) n=w by the corresponding angles theorem.
(B) This is the correct answer. n=s by the vertical angles theorem and s and x are supplementary by the same-side interior angles theorem. Thus, n and x are supplementary and not always equal.
(C) n=z by the alternate exterior angles theorem.
(D) s=w, so (s+w)/2 = (s+s)/2 = s. Since n=s by the vertical angles theorem, n=s.
(E) n and w are equal by the corresponding angles theorem, and w and y are supplementary as they form a linear pair. Thus, n+y=180, and it follows n=180-y.
A random sample is taken and the sample size is 25. the sample is normally distributed, the sample mean is 80, and the standard deviation is 5.5. find a 90% confidence interval for the population mean.
The 90% confidence interval for the population mean is 78.1905<x<81.8095
Confidence intervalThe formula for calculating the confidence interval is expressed as:
CI = x ± z*s/√n
Given the following parameters
mean "x" = 80
z = 1.645
s = 5.5
n = 25
Substitute
CI = 80 ± 1.645*5.5/√25
CI = 80 ± 1.8095
CI = {78.1905, 81.8095}
Hence the 90% confidence interval for the population mean is 78.1905<x<81.8095
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find the average rate of change
Answer:
3rd option
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [ 1, 4 ] , then
f(b) = f(4) = 3³ + 2 = 27 + 2 = 29
f(a) = f(1) = [tex]3^{0}[/tex] + 2 = 1 + 2 = 3 , then
average rate of change = [tex]\frac{29-3}{4-1}[/tex] = [tex]\frac{26}{3}[/tex]
Your checking account is off $150 because the Bank’s statement says you have $750 and you think you have $900. We find you made two mistakes. You forgot to write in a Deposit of $100 and you forgot to write in your Rent check.
Can you tell me how much the RENT check is (In terms of dollars)?
The amount of RENT forgot to write is $ 50.
What is Transaction?
A transaction is a completed agreement between a buyer and a seller to exchange goods, services, or financial assets in return for money.
Here, Total expected amount = $ 900
Actual amount = $ 750
Deposit forgot = $ 100
Amount of RENT = 900 - (750 + 100)
= 900 - 850
= $ 50
Thus, The amount of RENT forgot to write is $ 50.
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Evaluate − 5 x 2 + 4 y 3 when x = − 2 and y = 2
Answer:
hope this is helpful.
putting values of X and y in the equation
Answer is 12
Answer:
answer is 39
Step-by-step explanation:
So, we start with the original problem:
3
x
2
−
4
y
2
Then we substitute the given
x
and
y
values into the expression:
3
(
5
)
2
−
4
(
3
)
2
Now, according to the order of operations, we simplify the exponential powers first, thus, reducing the expression to this:
3
(
25
)
−
4
(
9
)
Then, we use the order of operations again and do the multiplication next:
75
−
36
We then use the order of operations a final time and finish off the expression with subtraction:
39
Which is the graph of y-3 = -(x + 6)?
Graphing ?
Answer:
Step-by-step explanation:
Let's rearrange the equation (for my benefit):
y-3 = -(x + 6)
y = -x -6 + 3
y = -x -3
This is an equation of a straight line with slope of -1 and a y-intercept of -3 (y is -3 when x = 0).
See the attached graph.
Determine if the following scenarios are mutually exclusive or overlapping. Explain your reasoning.
1. You are taking a multiple choice test. Event A is you choose the correct answer. Event B is you choose D as the answer.
2.You survey students in your school about what grade they are. Event A is the person is a senior. Event B is the person is a junior.
An Event is the set of results from an experiment in probability. Assume you do an experiment by tossing a coin.
What is an event in probability?An Event is the set of results from an experiment in probability. Assume you do an experiment by tossing a coin. This experiment results in the coin landing 'heads' or 'tails.' These are the events that are associated with the experiment.
Scenario 1: You are taking a multiple-choice test. Event A is you choose the correct answer. Event B is you choose D as the answer.
The two of the given events will overlap since there is a possibility that the correct answer is option D.
Scenario2: You survey students in your school about what grade they are in. Event A is the person is a senior. Event B is the person who is a junior.
The two of the given events are mutually exclusive events since a person can not be a senior and a junior at the same time.
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What is the length of A. 7 B. 4 C. 8 OD. 1 3 X +3 ? What is the length of A. 7 B. 4 C. 8 OD . 1 3 X +3 ?
Answer: 4
Step-by-step explanation:
Sides opposite congruent angles in a triangle are congruent, so:
4x = x + 33x = 3 [subtract x from both sides]x = 1 [divide both sides by 3]So, MN = 1 + 3 = 4
Segment AB is congruent to segment AB.t h s statement shows the ______ property.
If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml?
7.7278 g/ml is the most accurate density of the substance.
What is density?It is define as the quantity per unit volume, unit area, or unit length.
i.e. the mass of a substance per unit volume.
Mathematically,
[tex]\rho =\frac{m}{v}[/tex] ----- equation (1)
Where,
p is the density
m is the mass
v is the volume
According to the question,
Mass = 27.82 grams
Volume = 3.6 ml
By substituting the Value of m and v in equation 1.
[tex]\rho =\frac{27.82}{3.6}[/tex]
[tex]\rho = 7.7277777 g/ml[/tex]
Therefore,
The most accurate density of the substance in g/ml is 7.7277777 g/ml.
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albert worked for 8 hours and earned $24. how much does albert earn for 24 hours
Answer:
$72
Step-by-step explanation:
Solve for x: 4(x + 2) = 3(x-2)
A bag contains four red apples and six green apples. Alex takes out three apples from the bag at random, one after the other, without replacement. A) Draw a tree diagram to represent the possible outcomes. B) Determine the probability that Alex takes out three red apples. C) Determine the probability that Alex takes out one green apple and two red apples.
The probability that Alex takes out three red apples is 1/30.
The probability that Alex takes out one green apple and two red apples is 1/10.
What are the probabilities?The probability that Alex takes out three red apples = (number of red apples / total number of apples) x (number of red apples - 1 / total number of apples - 1) x (number of red apples - 2 / total number of apples - 2)
4/10 x 3/9 x 2 /8 = 1 / 30
The probability that Alex takes out one green apple and two red apples = (number of green apples / total number of apples) x (number of red apples / total number of apples - 1) x (number of red apples - 1 / total number of apples - 2)
6/10 x 4/9 x 3/8 = 1 / 10
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please help me
i'll mark u as brainiest if u get it right
Answer: a) 46 minutes
b) 10:47
The basic knowledge for this is that 60 minutes = 1 hour
a) Question a asks for how long it took from a 10:34 bus from Mosley to reach Bamford. From the table you can see that the 10:34 bus reaches Bamford at 11:20. All you have to do is count from 10:34 to 11:20.
10:34 will become 11:00 at 10:60 right? Clock's generally don't show 10:60 but goes directly to 11:00 after 1 minute is passed at 10:59. So from 10:34 to 11:00, it takes 26 minutes. Remember the bus reaches at 11:20 so from 11:00 to 11:20, it takes 20 minutes. Now add them up:
26 minutes + 20 minutes = 46 minutes
Here you go! Total 46 minutes from Mosley to Bamford.
b) From question b, we can see that Trina did not ride the first bus or by any chance missed it because the bus left at 10:14 and she is at the station at 10:15. Now think it from your perspective! You missed the first bus and you are in a big rush. So to reach your destination as early as possible, you will obviously take the next earliest bus. The next bus is at 10:24 (Belton). So if we take the 10:24 bus in Belton, it reaches at 10:47 in Garton.
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
Which of the following did you include in your response? Check all of the boxes that apply. the range, or spread, of the salaries whether most people make a very low salary and one or two people make a high salary the minimum salary, and whether that is an entry level or starting salary the maximum salary whether the maximum salary is a lot higher than the average and other salaries are a lot lower than the mean
Answer:
to be honest i don't know
Step-by-step explanation:
uh
Answer: its all
Step-by-step explanation:
it does not matter which one you pic, you just have to pick one.
Derive tan(A+B)+tan(A+B)- tan(A+B)+tan(A+B).
Step-by-step explanation:
the answer will be zero 0
what is the answer??? so confused
Answer:
3 1/2
Step-by-step explanation:
Put '3' where 'y' is and compute :
[12 -3(3) ] / 2 + 3 [ (2(3)-4 )/3) =
3/2 + 2
= 3 1/2
help me, thankyouuu sm!!
2. Find the value of supplementary angle of y for each polygon.
3. Calculate the sum of the exterior angles for the triangle. Then, compare with the sum of exterior angles of pentagon.
4. Derive a formula to obtain the value of interior angle of a regular n-sided polygon without calculating the value of it’s interior angle
A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry.
What is a polygon?A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
2. Find the value of the supplementary angle of y for each polygon.
A.) For an isosceles triangle, using the base angle theorem we can write that the measure of the angle opposite to the congruent side will be equal. Therefore, the sum of the angles of the triangle can be written as,
y + y + 26° = 180°
2y = 154°
y = 77°
B.) The sum of the interior angles of a regular polygon is given as (n-2)180°, where n is the number of sides, also for a regular polygon the measure of each interior angle is equal. Since in a pentagon the number of sides is 5. Therefore, the measure of an interior angle can be written as,
y = [(n-2)180°]/n
y = [(5-2)180°]/5
y = 108°
3. The sum of the exterior angle of all the polygons is equal to 360°. Therefore, the sum of the exterior angles of the triangle and the pentagon will be the same, 360°
4. The formula to find the sum of the interior angles of a polygon, we can use the formula.
Sum of interior angles of an n-sided polygon = (n-2)180°
Where n is the number of sides.
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PLEASE HELP ASAP!!!!
What is the rectangular equivalence to the parametric equations?
x(θ)=3cosθ+2,y(θ)=2sinθ−1 , where 0≤θ<2π .
Drag a term into each box to correctly complete the rectangular equation.
____ + ________ = 1, where the x is on the interval _______
options:
(x-2)^2/9
(x+2)^2/9
(x-1)^2/4
(x+1)^2/4
(y-2)^2/9
(y+2)^2/9
(y-1)^2/4
(y+1)^2/4
[-3,3]
[-3,1]
[-2,2]
[-1,5]
The correct answer is option A [tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2})^2=1[/tex] it will be an ellipse.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Let's consider the following trigonometric identity:
Sin²[tex]\theta[/tex] + Cos²[tex]\theta[/tex] = 1
Each trigonometric function is cleared respectively in given parametric equations:
[tex]Cos \theta = \dfrac{x-2}{3}[/tex] and [tex]Sin\theta =\dfrac{y+1}{2}[/tex]
The equivalent expression in rectangular form is:
[tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2}^)^2 = 1[/tex]
Therefore the correct answer is option A [tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2})^2=1[/tex] it will be an ellipse.
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Two students are registered for the same class and attend independently of each other, student a 90% of the time and student b 70% of the time. the teacher remembers that on a given day at least one of them is in class. what is the probability that student a was in class that day
The probability of student A is 15/44
Given student A is 70% of time and student B is 60% of time
We need to find the probability of student A
Using formula of conditional probability is P(X/Y) = P(X and Y) / P(Y)
Here X = A and Y = A or B
Therefore,
P(A/A or B) = P(A and (A OR B) / P (A or B)
Now, There is none complement for at least 1
We know that Student A attends 70 % of time
So , his absence is 30% of the time .
Hence the probability of absence is 0.3
Now Considering B in the similar way
We get,
Probability of the absence is 0.4
They are both absent (0.3)(0.4)= 0.12
Here we can say that 12 % of time both are absent
So one or another present on that time is 88%
The probability of present of the time is 0.88
Now calculating the probability,
P(A/A or B) = P(A and (A OR B) / P (A or B)
= 0.3/0.88
= 30/88
= 15/44
Hence the Probability Of A is 15/44
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On Sunday, 370 people bought tickets to the county fair. Tickets cost $7 for
adults and $3 for children. The total revenue from ticket sales on Sunday was
$1750. The system of equations below represents the number of people and
total sales for the county fair on Sunday, where x represents the number of
child tickets and y represents the number of adult tickets.
x+y=370
3x+7y=1750
How many child tickets were sold on Sunday?
OA. 180
B. 160
C. 210
D. 220
The number of children ticket sold on Sunday is 210.
How many child tickets were sold?Given this equations:
x+y=370 equation 1
3x+7y=1750 equation 2
Multiply equation 1 by 7
7x + 7y = 2590 equation 3
Subtract equation 2 from equation 3
4y = 840
Divide both sides by 4
y = 840 / 4
y = 210
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Priya wants to sketch a graph of the polynomial f defined by f(x)=x^3+5x^2+2x-8. She knows f(1)=0, so she suspects that (x-1) could be a factor of x^3+5x^2+2x-8 and writes (x^3+5x^2+2x-8) = (x-1) (?x^2+?x+?) and draws a diagram.
1. Finish Priya's diagram
2. Write f(x) as the product of (x-1) and another factor.
3. Write f(x) as the product of three linear factors.
4. Make a sketch of y=f(x).
Given the polynomial f(x)=x³+5x²+2x-8 and f(1)=0.
Factorization is the process of determining the components of a given value or mathematical statement. The integers that are multiplied to create the original number are known as factors. The components of 18 include, for instance, 2, 3, 6, 9, and 18, as well as;
18 = 2 x 9
18 = 2 x 3 x 3
18 = 3 x 6
In a similar way, the factors in the case of polynomials are the polynomials that are multiplied to create the original polynomial. For instance, (x + 2) (x + 3) are the elements of x2 + 5x + 6. The original polynomial is produced when we multiply both x +2 and x +3. We can also locate the polynomials' zeros after factorization. Zeroes in this situation are x = -2 and x = -3.
2. Now, to write f(x) as the product of (x-1) and another factor.
x³+5x²+2x-8 = (x-1)(x²-6x+8).
3. Now, to write f(x) as the product of three linear factors.
x³+5x²+2x-8 = (x-1)(x²-6x+8)= (x-1)(x-4)(x-2)
4. Look at the sketch below.
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What are the solutions, if any, of the equation x2−25=−7?
Answer:
[tex]x=\pm3\sqrt{2}[/tex]
Step-by-step explanation:
1) Add 25 to both sides.
[tex]x^2 = -7 + 25[/tex]
2) Simplify -7 + 25 to 15.
[tex]x^2=18[/tex]
3) Take the square root of both sides.
[tex]x=\pm18[/tex]
4) Simplify [tex]\sqrt{18}[/tex] to [tex]3\sqrt{2}[/tex].
[tex]x=\pm3\sqrt{2}[/tex]
Given: ∠CBA ≅ ∠FBA; ∠CAB ≅ ∠FAB
Prove: ΔBCA Is-congruent-to ΔBFA
The proof is shown below
What is congruency?Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Given:
∠CBA ≅ ∠FBA; ∠CAB ≅ ∠FAB
Now, ∠BCA is congruent to ∠BFA [reflexive property of congruence]
Also, AB= AB (common)
Thus, we can conclude that Δ BCA≅ Δ BFA by ASA criteria.
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