3%
Answer:
Selling price with VAT {15%} = Rs 41400
S.P +15% of S.P =Rs 41400
S.P(1+15%)=Rs 41400
S.P=Rs 41400/1.15
Selling price without VAT =Rs 36000
Again
Discount = 10%
M.P =S.P+ Discount % of M.P
M.P-Discount% of M.P= S.P
M.P(1-Discount%)=Rs 36000
M.P(1-10%)=Rs 36000
M.P=Rs 36000/0.9
Marked Price = Rs 40,000
again
Discount =Discount % of M.P
=10% of 40000
=Rs 4,000
Again
Profit=20%
For 20% profit
Cost price = (S.P*100)/(100+profit%)
=(36000*100)/(100+20)
= Rs 30000
For 24% profit
selling price = (100+profit%)*C.P/100
=(100+24)*30000/100
=Rs 37200
Again
Discount = 40000–37200 = Rs2800
Discount % = discount/M.P*100%
=2,800/40,000* 100 = 7%
Finally
Discount percent to be reduced =10%–7%= 3%
The equation of a circle is x2 y2 cx dy e = 0. if the radius of the circle is decreased without changing the coordinates of the center point, how are the coefficients c, d, and e affected?
While E will increase, C and D won't change.
What is coordinate geometry?A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.
Due to the fact that the circle's equation is,
Nevertheless, we are aware of the circle's equation.
[tex]x^{2}+y^{2}+C x+D y+E=0[/tex]
(By figuring out the circle's equation[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex], where r is the radius and (h,k) is the center)
[tex]x^{2}+y^{2}+2 h x+2 k y+\left(h^{2}+k^{2}-r^{2}\right)=0[/tex]
The following equation is compared to the generic equation above.
Our results are C = 2h, D = 2k, and E [tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]
As a result, C will be unchanged if r lowers ( because C is free from r)
D won't be effected ( because D is also free from r)
E will, however, rise if r falls.
E[tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]
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Hurrrry helpppp show your work
Answer: 17
Step-by-step explanation:
substitute -3 for a and -5 for b. the equation will be[tex]\frac{(-3)^{2}+(-5)^{2} }{-3-(-5)}[/tex]. then when you simplify, you will get [tex]\frac{9+25}{-3+5}[/tex]. finally, add and you will get [tex]\frac{34}{2}[/tex] which is 17.
Study island math pls helppp
I will love you if you answer
Answer:
Since <ABC ~= <DBE and <BAC ~= <BDE, the triangle s are similar by angle-angle.
4. Emily's house has a chimney. What is the volume of her chimney?
4 in.
9 in.
12 in.
3 in.
4 in.
6 in. step by step pls i give brainliest and 80 points
Answer:
[tex] {216 \: in}^{3} [/tex]
Step-by-step explanation:
Split the chimney into 2 rectangular prisms. One is the short one, and the other is the tall one.
The dimensions of the short prism are 4 x 3 x 2. The volume of that prism is found by multiplying those numbers together, which is 24.
The dimensions of the tall prism are 4 x 4 x 12. The volume of that prism is 192.
Adding those 2 volumes together, you will get the volume of the composite figure. 192 + 24 = 216
Volume is always in cubic units
Please help me. i dont get it
Step-by-step explanation:
let's say one integer is X ....
so , Another one is (X -4).....
so , X × (X - 4) = 45
x² - 4x - 45 = 0
x² - 9x + 5x - 45 = 0
x(x - 9) +5(x - 9) = 0
(x-9) × (X+5) = 0
x-9 = 0 OR x+5 = 0
X= 9 X= -5
X is not a negative integer ......
so , X = 9
X-4 = 5 .......
Use 3.14 for pi. ROUND YOUR FINAL ANSWER TO THE NEAREST TENTHS PLACE!
Answer:
379.94
Step-by-step explanation:
3.14 x 11^2 = 379.94
The area of the given circle is 95 square ft.
Calculation for the Area of the Circle:
It is given in the diagram that,
The diameter of the circle, d = 11 ft.
Now, we know that the radius of a circle is equal to half of the diameter.
Therefore, radius of the given circle, r = 11/2 ft.
The formula for the area of the circle is given as follows,
A = π × r²
Substituting the values, π = 3.1, and r = 11/2, we get,
A = (3.14) × (11/2)²
A = (3.14) × 30.25
A = 94.985
A ≈ 95
Hence, the area of the given circle with diameter 11 ft. comes out to be 95 ft².
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What must be added to: (a) x-y + 4z to get 5x - 4y + 8z?
Answer:
4x-3y+4z
Step-by-step explanation:
There are lot's of process to answer it but i will show one easy way to find the answer.
To find the required answer we need to subtract 5x - 4y + 8z by x-y + 4z, we get
5x - 4y + 8z
-x + y - 4z [Note: while subtracting we must change the sigh that one ___________who we are subtracting]
4x-3y+4z which is a required answer
Answer:
4x - 3y + 4z
Step-by-step explanation:
Let the unknown value that we have to add be 'a'.
Let us make an expression like this.
x -y + 4z + a = 5x - 4y + 8z
Now make 'a' the subject of the equation.
a = 5x - 4y + 8z - x + y - 4z
Now combine like terms.
a = 5x - x - 4y + y + 8z - 4z
a = 4x - 3y + 4z
Now let us check whether the answer is correct or wrong.
We can replace 'a' with ( 4x - 3y + 4z ).
Let us see.
x - y + 4z + 4x - 3y + 4z
Combine like terms.
5x - 4y + 8z
Yes, we are getting the same answer!
Therefore,
we need to add 4x - 3y + 4z to get 5x - 4y + 8z to x - y + 4z.
Which of the following quadratic graphs has only one zero?
a. y= -2x^2 -4x+8
b. y=x^2+8x+16
c. y=x^2-16
y=2x^2-8x
The quadratic graph which has only one zero among the answer choices as given in the task content is; Choice B; y=x^2+8x+16.
Which quadratic graph among the given answer choices as given in the task content has only one zero?It follows from simplification of quadratic equations in a bid to solve for their zeros by means of factorisation that;
The given quadratic equations in answer choice B can be evaluated for its zeroes as follows;
0=x²+8x+16
0 = x² +4x +4x +16
(x+4) (x+4) = 0
Hence, it follows that x = -4 is the only zero of the given quadratic graph in discuss and hence, Choice B is correct.
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. Rashad is conducting an experiment at his high school to see how people feel about the school dress code. 1. Explain how Rashad could collect data to ensure that it is a random sample of the population. 2. Suppose Rashad has collected his data and has organized it in the table below. Create a visual plot of the data in the table by constructing a bar graph. 3. What is the average view of the dress code? How did you come to this conclusion? 4. The dress code will be changed if more than 60% of the school feels like a change is needed. If 40% of this majority agrees on the same change, that will be what is done with the dress code. Will the dress code change? Do we know which option will occur? Be sure to explain your reasoning.
Each sample has an equal chance of being picked as part of the sampling procedure known as random sampling. A randomly selected sample is intended to provide a fair reflection of the entire population.
How should Rashad proceed with the random sampling?Step 1: He should identify and decide which population he wants to study
Step 2: He should decide the size of the sample. He can do this using a sample size calculator.
Step 3: Select the Sample Randomly using:
Lottery technique; orRandom Number Technique.It is to be noted that the lottery and Random Techniques can be manual or computer simulated.
The sample bar graph for the above sample is attached.
What is the average view of the dress code?About 48 Students (boys and girls combined) indicated that the dress code is nice.13 said it wasn't nice6 on the average indicated that there were indifferent. If 40% of this majority agrees on the same change, that will be what is done with the dress code, will the dress code change?40% of 60% is not likely to catalyze a change in the needed change. A more proper percentage should be 90%.
Do we know which option will occur?Based on the figures given, 72% of the students agree that the dress code is nice (that is , it requires not change).
This means that it is highly unlikely that any changes will be made to the dress code soon.
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A savings account earns 15% interest annually. What is the balance after 8 years in the savings account when the initial deposit is 7500?
The balance after 8 years is $22,942.67
What is the balance after 8 years?
We know that the savings account earns 15% annually, and the initial deposit is $7500, then the balance as a function of time in years is:
B = $7500*(1 + 15%/100%)^t
B = $7500*(1.15)^t
The balance after 8 years is what we get when we evaluate the above function in t = 8, so we get:
B = $7500*(1.15)^8 = $22,942.67
So the correct option is the last one.
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(02.02)A shape is shown on the graph:
24
-5 -4 -3 -2 -1
2-
C
Á
B
A
0
0
-24
-3-
-4-
-5-
-6-
-8-
-2
Which of the following is a reflection of the shape?
Based on the shape shown on the graph, the reflection of the shape would be b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.
What shape is the reflection?The coordinate grid that the shape would be reflected across is the y axis to get a reflection in the negative side of the x axis.
The first reflection would be of the point that is (2,2). It would be reflected to become (-2, 2).
The second reflection would be of point (2, 6) which would then be reflected to become (-2, 6).
Finally the third point would be of point (4, 2) which would then become (-4, 2).
In conclusion, the reflection was across the y axis.
Options include:
a) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 4, 2 and negative 4, 6.b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.c) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 2, 4 and negative 6, 2.d) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 2, negative 4 and 6, negative 2.Find out more on reflection at https://brainly.com/question/1908648
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Geometry: complete these proofs, ASAP!!!
Answer:
1. Given.
2. <5 is supplementary to <4.
2. Angles 5 and 4 are consecutive angles, and by the consecutive angles theorem, the two are supplementary.
3. m<4 + m<5 = 180
3. By the definition of supplementary angles, m<4 + m<5 = 180.
4. m<2 = m<4
4. Angles 2 and 4 are corresponding angles, and by the corresponding angles postulate, the two are congruent. By the definition of congruent angles, m<2 = m<4.
5. m<5 + m<2 = 180
5. Substitution property of equality.
A blimp is 1600 meters high in the air and measures the angles of depression to two stadiums to the east of the blimp. if those measurements are 71.7° and 25.2°, how far apart are the two stadiums?
The two stadiums are 2,871 meters
A blimp = point A
stadium 1 = point B
stadium 2 = point C
height of the blimp , AD = 1600
depression angle of stadium 1 , ∠y = 71.7°
depression angle of stadium 2 , ∠x = 25.2°
distance between the two stadiums = d
So, it forms 2 triangles ABD and ACD,
Using the trigonometric ratios,
tan θ = Altitude / Base
DC = AD × tan (90° - x)
= 1600 × tan( 90° - 25.2° )
= 1600 × cot(25.2°)
= 1600 × 2.13
DB = AD × tan (90° - y)
= 1600 × tan( 90° - 71.7° )
= 1600 × cot(71.7°)
= 1600 × 0.33
∴ d = DC - DB
= 1600 * [ tan( 90° - 25.2° ) - tan( 90° - 71.7° ) ]
= 2,871 meters
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If a rectangle is not a square, what is the greatest number of lines of symmetry that can be drawn?
Answer: B
Step-by-step explanation: what I did was I drew a square and folded it if both sides matched i knew that that was a line of symmetry
A number exceeds its four-sevenths by 18. Find the number.
Answer:
42
Step-by-step explanation:
let the number be x
4/7 of x
(4/7) × x
4x/7
As stated in the question:
x=4x/7+18
=x-4x/7=18
=(7x-4x)/7=18
=3x/7=18
3x= 18×17
3x= 126
x=126/3
x=42
Help!!! Brainliest to 1 or 2 answer!!
Answer:
35-17=3y
Step-by-step explanation:
3y+17=35
-17 -17
3y=35-17
Please help me with these problems, if you give an answer without work or isn’t correct I will report your comment and you won’t get points
The angles and side lengths for both triangles are;
3) A = 36°; B = 54°; C = 90°; a = 7; b = 9.63; c = 4.11
4) A = 64°; B = 26°; C = 90°; a = 1.798; b = 0.88; c = 2
How to solve Pythagoras theorem?
3) From the diagram, we are already given;
B = 54°
C = 90°
a = 7
We know that sum of angles in a triangle is 180° and so;
A = 180 - (90 + 54)
A = 36°
By trigonometric ratios;
b/7 = tan 54
b = 7 * tan 54
b = 7 * 1.376
b = 9.63
7/c = cos 54
c = 7 * cos 54
c = 4.11
4) From the diagram, we are already given;
B = 26°
C = 90°
c = 2
We know that sum of angles in a triangle is 180° and so;
A = 180 - (90 + 26)
A = 64°
By trigonometric ratios;
b/2 = sin 26
b = 2 * sin 26
b = 2 * 0.4384
b = 0.88
a/2 = cos 26
a = 2 * cos 26
a = 1.798
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how to solve problem in the document
HELP! QUICK!!!!!!!!!!!!!!!
Answer:
Q₃ = 185
Step-by-step explanation:
the first step is to find the median of the data set
the median is the middle value of the data arranged in ascending order
112 , 130 , 132 , 140 , 149 , 151 , 163 , 172 , 185 , 190 , 200
↑ middle value
median = 151
the upper quartile Q₃ is the middle value of the data to the right of the median
163 , 172 , 185 , 190 , 200
↑ middle value
upper quartile Q₃ = 185
Heron's Formula:
The two bases of a trapezoid are 3 and 11 and the altitude is 8. What is the area of the trapezoid? Use Heron's formula.
Answer:
√s(s-a) (s-b) (s-c)
Step-by-step explanation:
123456
herons formula
Compare -2 and 5. Which of the following is true?
1-21 > 151 and -2>5
1-21=151 and -2<5
1-21<151 and -2<5
1-21 > 151 and -2<5
Answer:
1-21>151 and -2>5
I think so.
A man has eight shirts, four pairs of pants, and five pairs of shoes. How many different outfits are possible
Answer:
160
Step-by-step explanation:
I multiplied the amount of each item to get to the answer:
- 8 shirts
- 4 pairs of pants
- 5 pairs of shoes
8 x 4 x 5 = 32 x 5
32 x 5 = 160
hope this helps!
Find the area of the shape.
r = 6
A=πr^2
A = 113.09734
Quarter circle formula = πr^2 / 4
113.09734 / 4 = 28.274335
113.09734 - 28.274335 = 84.824005 is the answer
Jaxon is training for a climbing competition.
He breaks his training up into strength and
endurance training in the ratio 5:3.
If he spends 4 hours on endurance training,
how long should he spend on strength training?
======================================================
Work Shown:
(x hours strength)/(4 hours endurance) = 5/3
x/4 = 5/3
3x = 4*5
3x = 20
x = 20/3
x = (18+2)/3
x = 18/3 + 2/3
x = 6 + 2/3
x = 6 & 2/3
He needs to spend 6 full hours, plus an additional 2/3 of an hour, on strength training.
1 hr = 60 min
2/3 hr = (2/3)*60 min
2/3 hr = 40 min
6 hr + 2/3 hr = 6 hr + 40 min
Therefore, he needs to spend 6 hours, 40 minutes on strength training.
This is equivalent to 6*60+40 = 360+40 = 400 minutes.
Marcia made 10 bracelets for 5 friends. Jen made 12 bracelets for 4 friends. Are these ratios/rates equivalent?
Answer:
These ratios are not equivalent as Marcia is 2 per friend while Jen is 3 per friend
Step-by-step explanation:
Marcia made 10 bracelets for 5 friends where each friend will be getting 2 bracelets with a 1:2 ratio
Jen made 12 bracelets for 4 friends where each friend will be getting 3 bracelets with a 1:3 ratio
An astronaut who weighed 150 pounds on earth found that his weight on jupiter was 400 pounds. he captured an alien that weighed 120 pounds on jupiter. what is the alien's weight on earth? a. 45 pounds c. 500 pounds b. 30 pounds d. 320 pounds
In two or more complete sentences, identify the parent function, and describe the transformations that were applied to
obtain the graph, f(x) = √2x+6 -1
Find the values of a and b.
Answer:
a = 144
b = 67
Step-by-step explanation:
Where a transversal meets parallel lines, consecutive interior angles are supplementary.
Anglesa° +36° = 180° . . . . . . consecutive angles are supplementary
a = 144 . . . . . . . . . . divide by ° and subtract 36
b° +113° = 180° . . . . . . consecutive angles are supplementary
b = 67 . . . . . . . . . . divide by ° and subtract 113
If 2 pounds is equal to 3 dollars, which of the following is incorrect?
A. 28 pounds is 44 dollars
B. 23 pounds is 34.50 dollars
C. 11 pounds is 16.50 dollars
D. 10 pounds is 15 dollars
Answer:
A
Step-by-step explanation:
Find the ratio of pounds to dollars, [tex]\frac{3}{2}[/tex] or 1.5.
Next test each option by multiply the pounds by that ratio.
A: 28*1.5=42
B: 23*1.5=34.5
C: 11*1.5=16.5
D: 10*1.5=15
You can see A is the incorrect answer as 28 pounds would be 42 dollars, not 44.
3
OYes
O No
Is the following relation a function? (1 point)
x y
1 4
-1 -2
3 10
5 16
Answer: Yes
Step-by-step explanation:
Each value of y maps onto one value of x.