Kevin bought a toy for ₹250 and marked it at a price to ensure 12% profit even after offering a discount of 20%. What price did she mark it at?
Answers
Answer:
kevin marked the toy at a price of $352.68.
Step-by-step explanation:
to ensure a 12% profit, the selling price should be 112% of the cost price.
Related Questions
Can someone help me with this math problem asap
Answers
The absolute value function for this problem is given as follows:
y = |x - 4| - 6.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The coordinates of the vertex of the function are given as follows:
(4, -6).
The slope of 1 determines the leading coefficient a as follows:
a = 1.
Hence the function is given as follows:
y = |x - 4| - 6.
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Dividing by a Monomial
What is (9x^3-6x^2+15x) ÷ 3x^2?
Answers
Answer:
\(3x-2+\frac{5}{x}\)
Step-by-step explanation:
To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:
(9x^3 - 6x^2 + 15x) ÷ (3x^2)
To simplify the division, we divide each term of the polynomial by 3x^2:
(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)
To divide monomials with the same base, we subtract the exponents. So:
9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x
(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2
15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x
Putting it all together, we have:
(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x
Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.
Find area of sector GHJ. Round to the nearest hundredth.
Answers
Given:
a.) GH = 5 units (radius)
b.) m∠GHJ = 60°
For us to be able to determine the area of the given sector GHJ, we will be using the following formula:
\(\text{Area = }\frac{\Theta}{360^{\circ}}\pi r^2\)We get,
\(\text{Area = }\frac{\Theta}{360^{\circ}}\pi r^2\)\(=\text{ (}\frac{60}{360})(3.14)(5)^2\)\(=\text{ (}\frac{1}{6})(3.14)(25)\)\(\text{Area = }\frac{78.5}{6}\text{ = 1}3.083333333333333333333333333333\)\(\text{ Area }\approx\text{ 13.08 sq. units}\)Therefore, the area of the sector GHJ is 13.08 sq. units.
What is the relationship between the two quantities in the table? x y 1 30 2 60 3 90 4 120 The relationship between the quantities is “+ 90.” The relationship between the quantities is “Minus 90.” The relationship between the quantities is “+ 30.” The relationship between the quantities is “Times 30.”
Answers
Answer:
Your answer is C
Step-by-step explanation:
Have a nice day or night hope it helps
Answer:
It is simply C
Step-by-step explanation:
What is the length of the midsegment of a trapezoid with bases of length 18 and 28?
The length of the midsegment of a trapezoid with the given bases is.
Answers
Answer:
midsegment = 23
Step-by-step explanation:
the midsegment is half the sum of the bases, that is
midsegment = \(\frac{18+28}{2}\) = \(\frac{46}{2}\) = 23
Calcular los 3/5 de los 2/3 de las 3/4 de 560
Answers
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Jim runs 12 miles in 4 hours how many feet does he run per minute
Answers
h= number of hours
m= number of miles
Formula: 4h=12m
(4 hours equals 12 miles)
Divide 4 on each side.
h= 3m
3 miles per hour.
Then, convert miles to feet. And hours to minute.
To do this simultaneously,
Convert miles to feet and hours to minutes.
There should be 3 "fractions" to multiply.
The first should be the original problem:
3miles/1 hour. (3 miles per hour).
The second should be 1 hour/60min. (1 hour per 60 min).
The third should be 5280 ft/1 mile. (5280 feet per mile).
The second and the third fractions are to convert miles to feet and the hours to minutes.
Find the area of the rectangle ABCD. I need both green and grey box please.
Answers
Answer:
180
Step-by-step explanation:
12x15=180
Area = 15 in. x 12 in.
Area = 180 inches squared
180 would be the green box and a 2 would go in the grey box
The length of the hypotenuse is??
Answers
Answer:
\(x = 14.31\)
Step-by-step explanation:
According to PYTHAGORAS Theorem,
let the Hypotenuse be x
\( {6}^{2} + {13}^{2} = {x}^{2} \\ 36 + 169 = {x}^{2} \\ 205 = {x}^{2} \\ \sqrt{205} = x \\ x = 14.31\)
Answer: 14.32
Step-by-step explanation:
To find the length of the hypotenuse, we need to use the Pythagorean Theorem.
Pythagorean Theorem: a²+b²=c²
Since we are given the legs, we can plug them in to find c.
\(6^2+13^2=c^2\) [exponent]
\(36+169=c^2\) [add]
\(205=c^2\) [square root both sides]
\(c=\sqrt{205}\)
\(c=14.32\)
The hypotenuse is approximately 14.32.
Show that the point (å,ä ) is on the perpendicular bisector of the line segment with end points
(Ů,ü ) and (ĝ,ġ )
Answers
To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.
1. Determine the midpoint of the line segment:
- The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:
\(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.
In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).
2. Calculate the midpoint coordinates:
- Substitute the values into the midpoint formula to find (x_mid, y_mid).
3. Find the slope of the line segment:
- Use the slope formula: slope = (y2 - y1) / (x2 - x1).
Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.
4. Determine the negative reciprocal of the line segment's slope:
- Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.
5. Write the equation of the perpendicular bisector:
- Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.
6. Substitute the point (å, ä) into the equation:
- Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.
7. Verify that the equation holds true:
- If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.
By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).
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Suppose you see a car advertised with a price of $33,150 and payments of $590.35 per month for 5 years. What is the amount of interest paid?
Answers
Answer:
The amount of interest paid on the car loan is $2,271.
Step-by-step explanation:
To calculate the amount of interest paid on a car loan, we need to know the total cost of the car and the total amount of payments made over the life of the loan.
First, let's calculate the total cost of the car. We are given that the advertised price is $33,150, but we don't know if any fees or taxes are included. Let's assume for now that this is the total cost of the car.
Next, let's calculate the total amount of payments made over the life of the loan. We know that the monthly payment is $590.35 and the loan term is 5 years, or 60 months. So the total amount of payments made over the life of the loan is:
$590.35/month * 60 months = $35,421
Now we can calculate the amount of interest paid by subtracting the total cost of the car from the total amount of payments made:
$35,421 - $33,150 = $2,271
Therefore, the amount of interest paid on the car loan is $2,271.
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
jessica is planning a lunch banquet. the equation C=760+21g models the relation between the cost in dollars, C of the lunch banquet and the number of guest, g. find the cost if the number of guest is 30
Answers
Answer:
C = 1390
equation :
C=760+21g
Variables understanding
g = guest
c= cost
We are Finding C
If C is unknown
and c = 30.
C=760+21 x 30
C = 760+630
C = 1390
Answer:
1389
Step-by-step explanation:
hope this helps alot
has a perimeter of 52 feet. Let W be the width, L be the length, and P be
the perimeter, all with units in feet.
a. Given two sets of four rectangles, find one rectangle in each set that could have a
perimeter of 52 feet.
b. Which of the symbols W, L, and P are variables?
c. Which of the symbols W, L, and P are constants?
Answers
A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.
The symbols W and L are variables.
The symbol P is a constant.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(L + W)
52 = 2(12 + 14)
52 = 2(26)
52 feet = 52 feet.
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An artist designs a sculpture in the shape of a rectangular prism.
The sculpture has a width of x feet. The depth of the sculpture is 6 feet more than the width. The length of the sculpture is 12 feet less than twice the width.
Given the sculpture's volume in cubic feet is 26 times its width in linear feet, what is the length of the sculpture?
Answers
Answer: 2
Step-by-step explanation:
took the quiz
The length of the sculpture is 2 feet.
Given information about the sculpture:
Width of the sculpture = x feet
Depth of the sculpture = x + 6 feet
Length of the sculpture = 2x - 12 feet
The volume of a rectangular prism is given by the formula:
Volume = length × width × depth
According to the given information, the volume of the sculpture is 26 times its width in linear feet. Therefore, write the equation as:
Volume = 26 × Width
Volume = 26x
Write the expression for the volume of the sculpture using the dimensions:
Volume = (2x - 12) × x × (x + 6)
Set up the equation:
26x = (2x - 12) × x × (x + 6)
26x = (2x² - 12x) × (x + 6)
26x = 2x³ + 12x² - 12x² - 72x
26x = 2x³ - 72x
Now, rearrange the equation to set it equal to zero:
2x³ - 72x - 26x = 0
2x³ - 98x = 0
2x(x² - 49) = 0
2x = 0
x = 0
And, the value of x is calculated as:
x² - 49 = 0
x² = 49
x = ±√49
x = ±7
Since dealing with dimensions, have a negative value for x.
Therefore, x = 7.
The value of x is 7, find the length of the sculpture:
Length = 2x - 12
Length = 2 × 7 - 12
Length = 14 - 12
Length = 2 feet
So, the length of the sculpture is 2 feet.
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the figure below is a net for a triangular prism (Help)
Answers
Answer:
368 in²
Step-by-step explanation:
Surface area of the triangular prism is the sum of the area of each net = 2(area of two triangle) + 2(area of two similar rectangles) + area of rectangle
= 2(½*bh) + 2(L*W) + (L*W)
Surface area = 2(½*5*7) + 2(15*8.6) + (15*5)
= 35 + 258 + 75
= 368 in²
the length of a rectangle is 6 feet longer than its width the perimeter is less than 48 feet write a mathematical expression for the width of the rectangle
Answers
Calculate the bearing of Y from X
Answers
Answer:
074°
Step-by-step explanation:
the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY
∠ NXY = 180° - 106° = 74°
the 3- figure bearing of Y from X is 074°
A work shift for an employee at a restaurant consists of 10 hours. What fraction of the employee's work shift is represented by 4 hours?
Answers
Answer:
One-fifth or 20%
Step-by-step explanation:
Answer:
40/100=4/10=2/5=40%=0.4
Step-by-step explanation:
4/10 hours which is 40% of the 10 hours and 10 hours is the maximum time and 4 hours is just 2/5 of that which 40/100=4/10=2/5=40%=0.4
Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.
P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48
1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?
Answers
The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.
Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.
Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.
The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.
The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.
Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.
The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.
The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.
However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.
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What is the circumcenter of a triangle formed by (4,2), (3,-3) and (2,2)?
Answers
The circumcenter of a triangle formed by (4,2), (3,-3) and (2,2) is located at (3, -0.4).
The circumcenter of a triangle is the point of intersection of the three perpendicular bisectors of the sides of a triangle.
Let A = vertex at (4,2)
B = vertex at (3,-3)
C = vertex at (2,2)
Get the midpoint of each side.
midpoint = [(x₂ + x₁)/2 , (y₂ + y₁)/2]
side AB : midpoint = [(3 + 4)/2 , (-3 + 2)/2] = (3.5, -0.5)
side AC : midpoint = [(4 + 2)/2 , (2 + 2)/2] = (3, 2)
side BC : midpoint = [(3 + 2)/2 , (-3 + 2)/2] = (2.5, -0.5)
Get the slope of each side.
slope = (y₂ - y₁) / (x₂ - x₁)
side AB : slope = (-3 - 2) / (3 - 4) = 5
side AC : slope = (2 - 2) / (2 - 4) = 0/-2 = 0
side BC : slope = (2 - -3) / (2 - 3) = -5
Determine the equation of the line of each of the three perpendicular bisectors of the sides of a triangle, that passes through the midpoint and with a slope equal to the negative reciprocal of the slope of the side.
y = mx + b
perpendicular bisector of AB :
-0.5 = -1/5(3.5) + b ; b = 0.2 ; y = -1/5x + 0.2
perpendicular bisector of AC :
since AC is a horizontal line, x = 3
perpendicular bisector of BC :
-0.5 = 1/5(2.5) + b ; b = -1 ; y = 1/5x - 1
Since x is already equal to 3, substitute the value of x in the two other equation and solve for y.
y = -1/5x + 0.2
y = -1/5(3) + 0.2
y = -0.4
y = 1/5x - 1
y = 1/5(3) - 1
y = -0.4
Hence, the circumcenter of the triangle is located at (3, -0.4).
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5. Keisha makes $ 135 selling items at a concession stand. She sold an equal number of T-shirts and keychains. The T-shirt costs four times as much as the keychain. How much does Keisha make from T-shirt sales? (Lesson 2.6)
A $125 © $33 B $108 D $27
Answers
Answer:
$108
Step-by-step explanation:
Let n be the cost of a keychain, then the cost of a T-Shirt would be 4n. We can use this to set up an equation...
4n+n=135
Combine like terms
5n=135
Divide both sides by 5
n=27
Now we need to find how much she made from selling T-Shirts...
4n=4(27)=$108
I have a quick question. Is CD = DC
- Reflexive Property
- Identity Property
- Substitution Property
- Symmetric Property
Answers
Answer:
Reflective property
Step-by-step explanation:
it maps onto itself
Are My answers Correct? I NEED ANSWERS!
Answers
Answer: yes
Step-by-step explanation:
Which of the following is the slope of the line y - 3x =0
Answers
Answer:
-3
Step-by-step explanation:
Answer: The slope whould be 3
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 3
y-intercept:
(0,0)
x|y
----
0|0
1|3
one hundred and twenty-one million, six hundred and nine
Answers
Answer: 121,000,609.
Which equation represents the hyperbola shown in the
graph?
10
8
(x - 2)2
(y + 3)
25
(-2,5) 6
(-7,3)
(1-21)
4-12-10 -8 -6 4-2
(3,3)
(x + 2)2
(y = 3) = 1
4
2 4 6
(x + 2)2
25
(y - 3)2
4
1
(232) - (7,31 = 1
(x - 2)2
25
Answers
Answer:
Step-by-step explanation:
A general equation of a hyperbola is
x^2 y^2
-------- - ------- = 1 (This applies only when the center of the hyperbola
a^2 b^2 is at (0, 0) ).
You must compare the given equations to this standard form to identify which represents the hyperbola shown, and also you must share the illustration of the hyperbola.
The equation represents the hyperbola shown in the graph is (y - 1)² / 9 - (x + 4)² / 4 = 1
What is a hyperbola?A hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.
A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.
Given that, a graph, showing hyperbola, we need to find the equation,
We have the general equation for up - down facing hyperbola as
(y - k)² / b²- (x - h)² / a² = 1.
Let's start listing the properties of this graph -
Taking a look at the graph we see that the center point of our hyperbola here is (- 4, 1).
Therefore, (h, k) = (- 4,1).
This is the semi distance from the center to one of the vertices. Here it will be the distance from points (- 4,1) and (- 4,4) or 3 unit difference.
Therefore, a = 3.
That gives asymptotes. Now remember that it will be in the form
y = ± b / a.
We already know a = 3, so we have to find b.
Looking at this graph we can say that another point besides (- 4,1) that lies on the "dotted line" is (- 2, - 2).
Calculating the slope of the dotted line would be as follows,
Given: (- 4,1) and (- 2, - 2)
Slope = - 2 + 4 / - 2 - 1 = 2 / 3
We have the equation y = 2 / 3x.
Therefore, b = 2.
Let's substitute to equation...
h = - 4, k = 1, b = 2, a = 3
(y - 1)² / (3)²- (x + 4)² / (2)² = 1
(y - 1)² / 9 - (x + 4)² / 4 = 1
Hence, the equation represents the hyperbola shown in the graph is (y - 1)² / 9 - (x + 4)² / 4 = 1
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The complete question is attached
which graph shows all the values that satisfy 2/9x
Answers
Answer:
This function is an exponential diagram that is not defined in \(x=0\).
Answer:
Hello There!
~~~~~~~~~~~~~~~~~~~~`
2/9 x + 3 > 4 5/9
2/9x > 4 5/9 - 3
2/9x > 14/9
x > 14/9 ÷ 2/9
x > 7
Step-by-step explanation: Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.
Hope this helped you. Brainliest would be nice!
☆_____________❤︎_____________☆
logx+5 64 = 2
Please help!!
Solve and round to the nearest 100th
Explain how
WILL GIVE BRAINIEST FIRST ANSWER
Answers
The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.
solve the equation logₓ(64) + 5 = 2, we can follow these steps:
Step 1: Move the constant term to the other side of the equation:
logₓ(64) = 2 - 5
logₓ(64) = -3
Step 2: Rewrite the equation in exponential form:
x^(-3) = 64
Step 3: Rewrite 64 as a power of x:
x^(-3) = x^6
Step 4: Set the exponents equal to each other:
-3 = 6
The equation -3 = 6 is not true, which means there is no real solution to the given equation.
Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.
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Question Find each unit price and then determine the better buy. Round to the nearest cent if necessary. Brand A Storage Bags, $4.59 for 40 count, or Brand B Storage Bags, $3.99 for 30 count Provide your answer below: Brand A: S per bag, Brand B: per bag
Answers
Answer:
Brand A is the better buy.
Step-by-step explanation:
A:
$4.59/40 = $0.11475
B:
$3.99/30 = $0.133
Brand A:
$0.11 per bag
Brand B:
$0.13 per bag
Brand A is the better buy.