Chanda buys a necklace for £120. She sells the necklace for £135. Work out her percentage profit
Answers
Chanda made a profit of £15, which is approximately 12.5% of the cost price of the necklace
To find the percentage profit made by Chanda, we need to use the formula
percentage profit = (profit/cost price) × 100
where profit = selling price - cost price.
In this case, the cost price is £120 and the selling price is £135. So, the profit made by Chanda is
profit = selling price - cost price
Substitute the values in the equation
= £135 - £120
= £15
Now, we can substitute the values into the formula to find the percentage profit:
percentage profit = (profit/cost price) × 100 = (£15/£120) × 100 ≈ 12.5%
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Related Questions
the product of 263 and v is equal to the quotient of 215 and r
Answers
Answer:
263 · v = 215 ÷ r
Step-by-step explanation:
I hope this helps!
Find the equation of a line passing through (5,9)and (-7,2)
Answers
The required equation of the line passing through (5,9) and (-7,2) is y = (-7/12)x + (143/12).
We can use the point-slope form of the equation of a line to find the equation of the line passing through the given points.
First, we need to find the slope of the line using the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
where (x, y₁) = (5, 9) and (x₂, y₂) = (-7, 2)
slope = (2 - 9) / (-7 - 5) = -7/12
Next, we can use the point-slope form of the equation of a line:
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁) is one of the points on the line. We can choose either point, so let's use (5, 9).
y - 9 = (-7/12)(x - 5)
Expanding and simplifying, we get:
y - 9 = (-7/12)x + (35/12)
y = (-7/12)x + (143/12)
Therefore, the equation of the line passing through (5,9) and (-7,2) is y = (-7/12)x + (143/12).
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The equation of the line passing through the points is y = ( 7/12 )x + ( 73/12 )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 5 , 9 )
Let the second point be Q ( -7 , 2 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 9 - 2 ) / ( 5 + 7 )
m = 7/12
And , equation of line is y - y₁ = m ( x - x₁ )
y - 9 = ( 7/12 ) ( x - 5 )
y - 9 = ( 7/12 )x - ( 35/12 )
Adding 9 on both sides , we get
y = ( 7/12 )x - ( 35/12 ) + 9
y = ( 7/12 )x + ( 73/12 )
Hence , the equation of line is y = ( 7/12 )x + ( 73/12 )
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Triangulation is a method of finding the location of an object based on measurements made from two other locations.
Answers
Triangulation is the method of finding the location of an object based on the measurements made from the two other locations. The above statement is true statement.
Triangulation is the division of a face or plane polygon into a series of triangles, usually with the limitation that each side of a triangle is fully shared by two adjacent triangles. In geometry, triangulation is the division of planar objects into triangles, or more broadly, the division of high-dimensional geometric objects into simplifications. Triangulation of a 3D volume involves subdivision into packed tetrahedra that directly measure distances to points. It is a method for finding the location of the object.
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What is the quotient of 11.25 divided by 2.5?
A) 0.405
B) 0.450
4.050
D) 4.500
Answers
Answer:
answer D 4.500..........
Instructions: Find the following information using the given image.
X=
Answers
Answer:
I think x=46 but I'm not sure, hope this helps
A hospital uses methicillin, an antibiotic, in its daily operations. Demand for the antibiotic is normal with a mean of 43 pills a day and a standard deviation of 19 pills per day. It takes the supplier for the hospital 9 days to ship an order to the hospital once the order is made; the standard deviation for this lead time is 1 day. The hospital insists on a service level of 99.9%. What is the minimum safety stock that the hospital uses for the antibiotic?
Answers
The minimum safety stock that the hospital should use for the antibiotic is 68 pills.
To calculate the minimum safety stock, we need to consider the demand during the lead time and the desired service level.
The lead time is 9 days with a standard deviation of 1 day. The demand for the antibiotic has a mean of 43 pills per day and a standard deviation of 19 pills per day.
First, we calculate the demand during the lead time:
Demand during lead time = Mean demand per day * Lead time = 43 * 9 = 387 pills
Next, we calculate the standard deviation of demand during the lead time:
Standard deviation of demand during lead time = Standard deviation per day * Square root of lead time = 19 * √9 = 57 pills
To achieve a service level of 99.9%, we need to account for 3 standard deviations of demand. The z-score corresponding to a service level of 99.9% is approximately 3.09.
Safety stock = (Z-score * Standard deviation of demand during lead time) - Demand during lead time
= (3.09 * 57) - 387
= 68 pills
To maintain a service level of 99.9%, the hospital should maintain a minimum safety stock of 68 pills for the antibiotic. This ensures that there is an adequate buffer to cover the variability in demand during the lead time and reduces the risk of stockouts.
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Solve the following inequality and graph its solution.
a – 17 > -16
Answers
Answer:
a>1
Step-by-step explanation:
Answer:
a>1
Step-by-step explanation:
a-17>-16
collect like terms
a>-16+17
-16+17=
1 or +1
a>1
done
not sure about the graph
one angle of a triangle is 4 times as large as another. the third angle is equal to the sum of the other two angles. what is the measure if the smallest angle (hint: the sum of the measures of the angles of a triangle is 180°)
Answers
consider one of the angle be x
and other be 4 x as it is times as large as another
so we know that the sum of the measures of the angles of a triangle is 180°)
x +4x = 180 °
5x =180°
x = 180/5
x=36
so fist angle is 36 ° and other angle is 4 x = 4 × 36 = 144
third angle is equal to the sum of the other two angles
so 36+ 144 = 180°
If the lines A and B are parallel then find the value of x
Answers
Answer:
The answer is 113 as we find angle qps and then x by alternate angle property.
The data in this table shows the hours of watching television per weekend and the mathematics marks for ten students. 1 6 3 2 10 8 0 4 5 2 11 Hours Watching TV per Weekend Mark (%) 80 55 70 75 35 45 85 75 50 70 40 a)
State the independent and dependent variables..
Independent -
Dependent -
Answers
Answer:
Independent - hours of watching television per weekend
dependent - mathematics marks
Step-by-step explanation:
The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable
The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable.
The number of hours students spend watching tv would affect their performance on the test because it would determine the number of hours the students spend studying.
thus, the hours spent watching tv is the independent variable while the dependent variable is the score of the students
intersecting lines r, s, and t are shown below. s t 23° r 106° x° what is the value of x ?
Answers
To find the value of x, we need to use the fact that when two lines intersect, the sum of the adjacent angles formed is equal to 180 degrees.
In this case, the angle formed between lines s and t is 23 degrees, and the angle formed between lines r and s is 106 degrees. Let's denote the angle between lines t and r as x.
Using the information given, we can set up the equation:
(106 degrees) + (23 degrees) + x = 180 degrees
Combine the known values:
129 degrees + x = 180 degrees
To isolate x, subtract 129 degrees from both sides of the equation:
x = 180 degrees - 129 degrees
x = 51 degrees
Therefore, the value of x is 51 degrees.
In conclusion, the value of x, the adjacent angles formed between intersecting lines t and r, is 51 degrees.
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A RECTANGLE WITH A LENGTH OF X + 5 HAS A PERIMETER OF 4X + 14.
a. Write the expression for the width of the rectangle in terms of x.
b. Suppose the perimeter of the rectangle is 42 inches. What are length and width of the rectangle?
c. Write the expression for the area of the rectangle in terms of x.
d. Find the area of the rectangle when x = 7 in.
Answers
Answer:
a) 2(x+5)+2(x)=4x+14
Step-by-step explanation:
find the distance between the 2 planes
Consider the planes: \[ \begin{array}{l} P_{1}: \quad 2 x-y-2 z+2=0 \\ P_{2}:-6 x+3 y+6 z-12=0 \end{array} \]
Answers
The distance between the two planes is \(\( \frac{{14}}{{3}} \)\) units.
To find the distance between two planes, we can use the formula:
\(\[ d = \frac{{\left| c_1 - c_2 \right|}}{{\sqrt{{a^2 + b^2 + c^2}}}} \]\)
Where \(\( a, b, c \)\) are the coefficients of the normal vector of the first plane, and \(\( c_1 \)\) is the constant term of the first plane equation. Similarly, \(\( a, b, c \)\)are the coefficients of the normal vector of the second plane, and \(\( c_2 \)\)is the constant term of the second plane equation.
For\(\( P_1: 2x - y - 2z + 2 = 0 \),\)
the coefficients of the normal vector are \( a = 2 \), \( b = -1 \), and \( c = -2 \).
The constant term is \(\( c_1 = 2 \).\)
For \( P_2: -6x + 3y + 6z - 12 = 0 \),
the coefficients of the normal vector are \( a = -6 \), \( b = 3 \), and \( c = 6 \).
The constant term is \( c_2 = -12 \).
Substituting the values into the formula, we have:
\(\[ d = \frac{{\left| c_1 - c_2 \right|}}{{\sqrt{{a^2 + b^2 + c^2}}}}\)
=\(\frac{{\left| 2 - (-12) \right|}}{{\sqrt{{2^2 + (-1)^2 + (-2)^2}}}} \]\)
Simplifying, we get:
\(\[ d = \frac{{\left| 14 \right|}}{{\sqrt{{4 + 1 + 4}}}}\)
= \(\frac{{14}}{{\sqrt{{9}}}}\)
=\(\frac{{14}}{{3}} \]\)
Therefore, the distance between the two planes is \(\( \frac{{14}}{{3}} \)\) units.
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Solve the differential equation by variation of parameters, subject to the initial conditions y(0) = 1, y'(0) = 0. 2y'' y' − y = x 7.
Answers
The differential equation is a non-linear, second-order homogeneous differential equation, so we can use the variation of parameters method to solve for y(x).
Let u1(x) and u2(x) be two linearly independent solutions to the homogeneous equation, 2y'' y' − y = 0. Then, we can write y(x) as a linear combination of u1(x) and u2(x), y(x) = c1u1(x) + c2u2(x).
Next, we need to find the particular solution yp(x) to the non-homogeneous equation, 2y'' y' − y = x 7, which can be written as yp(x) = v1(x)u1(x) + v2(x)u2(x), where v1(x) and v2(x) are functions of x.
By substituting the expression for y(x) and yp(x) back into the non-homogeneous equation, we can find the functions v1(x) and v2(x). Finally, we use the initial conditions y(0) = 1 and y'(0) = 0 to find the values of c1 and c2, and hence the solution to the differential equation, y(x) = yh(x) + yp(x).
The solution is y(x) = c1u1(x) + c2u2(x) + v1(x)u1(x) + v2(x)u2(x), where c1 and c2 are constants determined by the initial conditions and u1(x), u2(x), v1(x), and v2(x) are functions of x determined by the differential equation.
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Find the slope of the line passing through the points (-6, -5) and (4,4).
Answers
Answer:
9/10 or 0.9
Step-by-step explanation:
Slope of a line passing through two points (x1, y1) and (x2, y2) is given by
Slope m = rise/run
where
rise = y2 - y1
run = x2 - x1
Given points (- 6, - 5) and (4, 4),
rise = 4 - (-5) = 4 + 5 = 9
run = 4 - ( - 6) = 4 + 6 = 10
Slope = rise/run = 9/10 or 0.9
the volume of a cylinder is 97ft^3.If thedimensions are doubled, what will be the new volume
Answers
Answer: 776ft^3
Step-by-step explanation: The formula for volume of cylinder is: V=πR²h, where R is the radius of the bottom which is the circle, h is the height of the cylinder. Hope this helps!
Choose the two points below that refer to the same point as [3, 5π/6] A. [-3, 17π/6] В. [3, 17π/6] C. [-3, 11π/6] D. [3, 4π/3] E. [3, 11π/6] F. [-3, 4π/3]
Answers
The point [3, 5π/6] refers to the same point as options D. [3, 4π/3] and F. [-3, 4π/3]. To determine which points refer to the same point as [3, 5π/6], we need to compare the x and y coordinates. The x-coordinate of [3, 5π/6] is 3, and the y-coordinate is 5π/6.
Option D. [3, 4π/3] has the same x-coordinate of 3, but the y-coordinate is different. However, we can convert 5π/6 to an equivalent angle by adding 2π to the angle, since the trigonometric functions are periodic. Adding 2π to 5π/6 gives us 5π/6 + 12π/6, which simplifies to 17π/6. Thus, option D. [3, 4π/3] represents the same point.
Option F. [-3, 4π/3] has a different x-coordinate but the same y-coordinate as [3, 5π/6]. However, the negative sign on the x-coordinate indicates that the point is reflected across the y-axis. Thus, option F. [-3, 4π/3] also represents the same point as [3, 5π/6].
Therefore, options D. [3, 4π/3] and F. [-3, 4π/3] correspond to the point [3, 5π/6].
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Evaluate the expression 6^2 + x - x^26
2
+x−x
2
6, squared, plus, x, minus, x, squared for x=3x=3x, equals, 3.
Answers
Answer:
The answer is 30 :)
Step-by-step explanation:
I had this question on khan academy
have a good day and stay safe!
The value of expression at x = 3 is,
⇒ 30
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 expression is,
⇒ 6² + x - x²
Now, We can simplify as;
⇒ 6² + x - x²
⇒ 36 + x - x²
Put x = 3;
⇒ 36 + 3 - 3²
⇒ 36 + 3 - 9
⇒ 36 - 6
⇒ 30
Thus, The value of expression at x = 3 is,
⇒ 30
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-7n - 15 ≥ 21?
n ≥ -4
n ≥ 7.2
n ≤ -4
n ≤ 4
Answers
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\diamond\large\textsf{\textbf{Question:-}}}}\)
-7n-15≤21. find n
\(\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\)
❖ Add 15 to both sides:-
-7n≤21+15
-7n≤36
❖ Now divide by -7 on both sides:-
n≥-5.14 or
n≥-5
The inequality sign changed because we divided both sides by a negative number.
Good luck.- - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - - -
Are these triangles similar
Answers
Answer: No
Step-by-step explanation:
The ratio of the lengths of the shortest sides is \(\frac{6}{4}=\frac{3}{2}\).
The ratio of the lengths of the longest sides is \(\frac{10}{7}\).
Since these ratios are not equal, the triangles are not similar.
ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?
6
17
90
102
Answers
Answer:
The correct answer is option B. 17
Step-by-step explanation:
It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°
To find the value of m
From the figure we can see that, triangle WYZ is an isosceles triangle.
ZW = ZY
Then <YXZ = <WXZ = 90°
It is given ∠YXZ = (6m – 12)°
(6m – 12)° = 90°
6m = 90 + 12 = 102
m = 102/6 = 17
Therefore the value of m = 17
The correct answer is option B. 17
Answer:
its 17. so B
Step-by-step explanation:
just did it
Rhiannon and Sophie both started saving for a new piano this month. Rhiannon will deposit $35.80 per week, but her bank account is currently overdrawn with a -$253.50 balance. Sophie also has a negative bank account balance of -$78.25 and will deposit $23.30 each week. How many weeks (w) will it take for the two bank accounts to have the same balance?
Answers
It will take 14.02 weeks for both the accounts to have the same balance
Bank account balance of Rhiannon = -$253.50
Money deposited by Rhiannon in the bank account each week = $35.80
Bank account balance of Sophie = -$78.25
Money deposited by Sophie in the bank account each week = $23.30
Let the number of weeks it takes to have the same account balance be x, therefore formulating the algebric equation we get:
Bank balance of Rhiannon + Money deposited by her each week*No of weeks it will take for the balance to be equal = Bank balance of Sophie + Money deposited by her each week*No of weeks it will take for the balance to be equal
= -253.5 + 35.8(x) = -78.25 + 23.3(x)
= -175.25 = -12.5(x)
x = 14.02 weeks
Therefore, it will take 14.02 weeks for both the accounts to have the same balance
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Renee is going to buy a new car that has a list price of $19,675. She will be responsible for $1,420 in vehicle registration fees, $85 in documentation fees, and 8. 92% sales tax. She plans to trade in her current car, a 2002 Buick LeSabre in good condition, and finance the rest of the cost over four years at an interest rate of 11. 34%, compounded monthly. If the dealer gives Renee 85% of the listed trade-in value for her car, what will her monthly payment be? Round all dollar values to the nearest cent.
Answers
Answer:
521.96
Step-by-step explanation:
1) The garden gate costs $149.49; it is on sale for 10% off. What will be the amount of discount?
2) What will be the new sale price?
3) If there is a 5.5% tax on the purchase price, what will the taxes be?
4) What will be the total bill with the sales tax for the garden gate when it is on sale?
5) Bob paid $24.89 for a racket for racket ball. He sold it to Steve for $35.00 . How much was Bob's markup?
6) What percent of change did Bob use to price the racket to Steve?
Answers
Answer:
1. The amount off is $14.95
2. The new price is $134.54
3.Tax is $7.40
4. Total is $141.84
5.Markup is $10.11
6.28.89% change
Step-by-step explanation:
The graph shows the proportional relationship between the side lengths of a square and its perimeter. Which equation shows the same relationship between the side length and the perimeter of a square? Perimeter of Square P. 32 28 24 P 15 Perimeter (inches) 20 16 12 P1 8 0 2 4 6 8 Side Length (inches) P 418
Answers
Answer:
y=4x
Step-by-step explanation:
Write the equation of linear function
Substitute:
Multiply the monomials:
Rearrange unknown terms to the left side of the equation:
Reduce the greatest common factor on both sides of the equation:
Rearrange unknown terms to the left side of the equation:
Divide both sides of the equation by the coefficient of variable:
Substitute one unknown quantity into the elimination:
Solve the equation: m=4
Write the solution set of the equations:
Substitute: y=4x
Answer: y=4x
Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
Answers
It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
Let's first understand what is meant by the term "moderator.
"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.
Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.
So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
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Anwser the question above
Answers
\( \large \mathfrak{Solution : }\)
let's solve :
2 [30 - (1 + 4)²]2 [30 - (5)²]2 [30 - 25]2 [5]10\( \huge \boxed{\mathfrak{Question} \downarrow}\)
2 [30 - (1 + 4)²]\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\( \sf2 [ 30 - ( 1 + 4 ) ^ { 2 } ]\)
Add 1 and 4 to get 5.\( \sf2\left(30-5^{2}\right) \)
Calculate 5 to the power of 2 and you'll get 25.\( \sf2\left(30-25\right) \)
Subtract 25 from 30 to get 5.\( \sf2\times 5 \)
Multiply 2 and 5 to get 10.\( \boxed{ \boxed{ \boxed{ \mathfrak{ = 10}}}}\)
over the past 10 years the cost of groceries increased by 50% if a soda costs 2.00 ten years ago what does it cost today
Answers
Answer:
$3.00
Step-by-step explanation:
50% = 0.5
Original = 2
2*0.5=1
1+2=3
Or you could do:
2*1.5=3
Cost today = $3.00
Hope this helps!
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Simplify the expression -4x(6x − 7).
Answers
Answer: -24x^2+28x
Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x
Mr. Patrol is building a small fence around a garden. He purchased a piece of wood that's 8 1/2 feet long. Is each slat is going to be 2 1/3 feet long, how many full pieces can he make from the piece of wood? What he did: 8 1/2 divided by 2 1/2=16/2 x 7x3= 112/6=18 2/3. What was the error? What is the right solution?
Answers
Answer:
Well first he can only make 3 full pieces of wood. The correct way would be dividing 8 1/2 by 2 1/3 to get 51/14, simplifed would be 3 9/14 and sinc e only full pieces its 3. The thing she did wrong was when dividing she converted the mixed fraction wrong when converting it into an improper. 8 1/2 converts to 17/2 not 16/2. 16/2 doesn’t make sense becuase if you covert it back you’d only get 8, theres still a 1/2 in there too, the 1/2 doesn’t just disappears. You gotta multiply the denominator by the whole number then ADD the numerator to it to make the numeratorfor the improper fraction.