Answer is..
5.88%
(96.25/1636.25)%
= 5.88%
Final answer:
To calculate the gain percentage, subtract the gain from the selling price to get the cost price, and then divide the gain by the cost price and multiply by 100. The dealer's gain percentage is approximately 6.25%.
Explanation:
The subject of the question is to calculate the gain percentage of a dealer who sells an article for ₹1636.25 and gains ₹96.25. To find the gain percentage, we need to identify the cost price first. The cost price (CP) can be calculated by subtracting the gain from the selling price (SP), which gives us CP = SP - Gain = ₹1636.25 - ₹96.25 = ₹1540.
Next, we calculate the gain percentage using the formula:
Gain Percentage = (Gain / Cost Price) * 100
Substituting the values, we get:
Gain Percentage = (₹96.25 / ₹1540) * 100
Therefore, the gain percentage of the dealer is approximately 6.25%.
17) A marble paperweight shaped like a pyramid weighs 0.15 lbs. How much does a similarly shaped
marble paperweight weigh if each dimension is three times as large?
Answer:
The weight of the larger marble paperweight is 4.05 lb
Step-by-step explanation:
we know that
If two solids are similar, then the ratio of its weights (or volumes) is equal to the scale factor elevated to the cube
Remember that the scale factor is the ratio between corresponding sides
Let
z ------> the scale factor
x -----> the weight of the larger marble paperweight
y -----> the weight of the original marble paperweight
[tex]z^{3} =\frac{x}{y}[/tex]
In this problem we have
[tex]z=3[/tex]
[tex]y=0.15\ lb[/tex]
substitute and solve for x
[tex]3^{3} =\frac{x}{0.15}[/tex]
[tex]x=(27)(0.15)=4.05\ lb[/tex]
therefore
The weight of the larger marble paperweight is 4.05 lb
Given y = (2x + 3)^2, choose the standard form of
the given quadratic equation.
Answer:
(2x+3)^2
=(2x+3)(2x+3)
=(2x)(2x)+(2x)(3)+(3)(2x)+(3)(3)
=4x^2+6x+6x+9
=4x^2+12x+9
The standard form of the given quadratic equation y = (2x + 3)^2 is y = 4x^2 + 12x + 9. This is achieved by applying the square of a binomial rule and simplifying.
Explanation:The given equation is y = (2x + 3)^2. This is in the form of a squared binomial, which can be expanded and simplified into a standard form of a quadratic equation. The standard form of a quadratic equation is y=ax^2 + bx + c.
To convert the given equation into standard form, we need to apply the square of a binomial rule, which states that (A + B)^2 = A^2 + 2AB + B^2. Here, A = 2x and B = 3.
So, we can rewrite the equation as follows: y = (2x)^2 + 2*2x*3 + 3^2 = 4x^2 + 12x + 9. Therefore, the standard form of the given quadratic equation is y = 4x^2 + 12x + 9.
Learn more about Standard Form of Quadratic Equation here:https://brainly.com/question/23854173
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Sarah drove 228 miles using 9.5 gallons of gas. how many more gallons will she use if she goes 336 more miles?
Answer:
14 gallons
Step-by-step explanation:
First determine the amount of miles per gallon her car will go by dividing the amount of miles by the amount of gallons.
228/9.5 = 24 miles per gallon
This means on a trip of 336 miles she will use 14 gallons.
336/24= 14 gallons
Describe how to find the sums -4+2 and -4+(-2) on a number line
For -4+2 you’d start at -4 then add two headed to the positive side
The sum of the expression -4 + 2 - 4 - 2 is shown on the number line that is negative 8.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression is given below.
⇒ -4 + 2 - 4 - 2
Firstly, subtract 4 from zero, then the line goes from zero to negative 4.
Secondly, add 2 from -4, then the line goes from negative 4 to -2.
Thirdly, subtract 4 from -2, then the line goes from negative 2 to -6.
And finally, subtract 2 from -6, then the line goes from negative 6 to -8.
Thus, the sum of the expression -4 + 2 - 4 - 2 is shown on the number line that is negative 8.
More about the Algebra link is given below.
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Select the correct answer. What is the y-intercept of y = 7? A. (0, 7) B. (7, 0) C. (7, 7) D. (-7, 7) PLZ HElp
Answer:
A. (0, 7)
Step-by-step explanation:
y=7
All values of y are equal to 7.
When x = 0, y = 7
The y intercept is 7
(0,7)
which statement about g(x)=x^2-576 is true
a. the zeros, -288 and 288, can be found when 0=(x+288)(x-288.
b. the only zero,288 , can be found when 0=(x-288)^2.
c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
d. the only zero, 24, can be found when 0=(x-24)^2
Answer:
Option C.
The zeros, -24 and 24, can be found when 0= (x+24)(x-24).
Step-by-step explanation:
we have
[tex]g(x)=x^{2}-576[/tex]
we know that
To find the zeros, equate the equation to zero
[tex]x^{2}-576=0[/tex]
[tex]x^{2}=576[/tex]
square root both sides
[tex]x=(+/-)24[/tex]
therefore
[tex]0=(x+24)(x-24)[/tex]
Answer:
C. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
the graph of f(x), shown below, has the same shape as the graph of G(x)=x^4-x^2, which contains the point (0,0) Which of the following is the equation of F(x)
Answer: Option B
[tex]F (x) = x ^ 4-x ^ 2 + 4[/tex]
Step-by-step explanation:
We have the function [tex]G (x) = x ^ 4-x ^ 2[/tex] and we know that it contains the point (0,0). That is, it cuts the y axis and y = 0
Then the graph of F(x) is shown in the image and we know that it is a transformation of F(x).
The function F(x) cuts the y axis and y = 4.
For this reason we can conclude that the function F(x) is the function G(x) displaced 4 units upwards.
The transformation that shifts the graph of a function k units upwards is:
[tex]F (x) = G (x) + k[/tex]
Where [tex]k> 0[/tex].
In this case k = 4. Therefore:
[tex]F (x) = G (x) +4\\\\F (x) = x ^ 4-x ^ 2 + 4[/tex]
The answer is Option B
When the wheels of a bicycle rotate 30 times the bicycle moves a distance of 175 feet what is the rate
Answer: 5 5/6 feet per rotation
Step-by-step explanation:
d/t=175/30=5 5/6
What is the linear function equation represented by the graph?
Answer:
y = (3/5)x + 3
Step-by-step explanation:
You can see immediately that the y-intercept is (0, 3).
As we go right from the point (-5, 0) to the point (0, 3), x increases by 5 and y increases by 3. Thus, the slope of this line is m = rise / run = 3/5.
Starting with the generic y = mx + b, we get y = (3/5)x + 3.
Answer:
Y=3/2x-3
Step-by-step explanation:
3/2 is the slope. Remember, rise/run. so the rise is 3 and the run is 2. so up three since its positive and right 2 cuz its positive. and the -3 is the y inercept. hope this helps love :)
what are the two intercepts of this graph?
Answer:(0,-4) , (0,0)
Step-by-step explanation:
It,s where the line intercepts on the graph on the x and y axis
Answer:
The intercepts are where the line passes either the x-axis or y-axis. So depending on which intercepts you're looking for, the intercepts on the x-intercepts (x-axis) are (-4,0) and (0,0). the y-intercepts (y-axis) is (0,0).
Step-by-step explanation:
A cruise ship can cover and 19 nautical miles in 304 minutes. How many nautical miles will travel in 240 minutes?
Answer:
We can go 15 nautical miles
Step-by-step explanation:
We can use a ratio to solve. Put the number of nautical miles over the minutes
19 miles x miles
----------- = ------------- --
304 minutes 240 minutes
Using cross products
19*240 = 304x
4560=304x
Divide each side by 304
4560/304 = 304x/304
15=x
We can go 15 nautical miles
The reflection of a Quadrant II point is located in Quadrant I. Assuming no error was made, what kind of reflection occurred?
A reflection across the x-axis
A reflection across the y-axis
A reflection across both axes
Answer:
A reflection across the y- axis
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y) → (-x, y)
A point in the second quadrant (- x, y)
Under reflection in the y- axis is (x, y) ← point in first quadrant
Answer:
A reflection across the y-axis.
Step-by-step explanation:
If it was across the x-axis, the point would have gone into Quadrant III.
The y-axis is vertical, and it was moved into Quadrant I from Quadrant II making it a vertical reflection which is a reflection from the y-axis.
(HELP ASAP PLEASE)
The postal service offers flat-rate shipping for priority mail in special boxes. Today, Anna shipped 10 small boxes and 6 medium boxes, which cost her $126 to ship. Meanwhile, Jeffrey shipped 5 small boxes and 6 medium boxes, and paid $96. How much does it cost to ship these two sizes of box?
Shipping costs $___ for a small box and $___ for a medium box.
Answer:
shipping cost $6 for a small box and $11 for a medium box
Step-by-step explanation:
The question is on formation of simultaneous equations
Anna shipped 10sb + 6mb =$126
Jeffrey shipped 5sb + 6mb=$96
Let small boxes,sb, be represented by x
Let medium boxes, mb, be represented by y
Equations
10x+6y=126------------------------(a)
5x+6y=96.......................................eliminate y by subtraction
5x=30.................................................divide by 5 to remain with x
x=30/5= 6......................................substitute value of x in equation (a)
(10×6) + 6y =126
60+6y=126
6y=126-60
6y=66..............................................divide by 6 both sides to get y
y=66/6= 11
Solution
x=6 and y=11
shipping cost $6 for a small box and $11 for a medium box
Mrs.Johnson has 14 blue pens, 7 black pens and 5 red pens in a desk drawer. If she Selects two pens at random without replacing them what is the probability that she selects a blue pen and then a black.pen
Answer:
8.6
Step-by-step explanation:
first you add all the numbers, then divide by 3 and you get 8.6.
Answer:
P (blue | black) = 0.151
Step-by-step explanation:
We know that there are 14 blue pens, 7 black pens and 5 red pens in Mrs. Johnson's desk drawer.
We are to find the probability of getting a blue pen and then a black pen when choosing two pens randomly without replacement.
Total pens = 14 + 7 + 5 = 26
P (blue pen) = 14/26
P (black pen) = 7/25
P (blue | black) = 14/26 * 7/25 = 49/325 or 0.151
what is the volume of the cylinder below?
Answer:
Step-by-step explanation:
It is C.
Volume-πr^2h
r-11
h-15
11^2*15
=1815π
Answer:
The correct option is C.
Step-by-step explanation:
From the given figure it is clear that the radius of the cylinder is 11 units and the height of the cylinder is 5 units.
The volume of the cylinder is
[tex]V=\pi r^2h[/tex]
Where, r is radius and h is height.
Substitute x=11 and h=15 in the above formula.
[tex]V=\pi \times (11)^2\times (15)[/tex]
[tex]V=\pi \times 121\times (15)[/tex]
[tex]V=1815\pi[/tex]
The volume of the cylinder is 1815π unit³.
Therefore the correct option is C.
Which set of measurements could be the side lengths of a triangle? please help!
A)3cm 3cm 3cm
B)4cm 8cm 13cm
C)5cm 9cm 14cm
D)6cm 7cm 8cm
3)7cm 7cm 10cm
All of them could be as A would be an equilateral B,C,D would be irregular triangles and 3 would be an Isosceles triangle but if you had to go with one it would be A
Answer: the answer is going to be A like other guy said was true
Step-by-step explanation: A
25 pts easy definitions
adjacent angles
congruent angles
complementary angles
vertical angles
perpendicular lines
supplementary angles
Hello There!
"Adjacent Angles" Adjacent angles are adjacent when they have a common side and a common vertex. Adjacent angles do not overlap.
"Congruent Angles" They have the same angle in degrees or radian.
"Complementary Angles" These are angles that add up to 90 degrees.
"Vertical Angles" Angles that are opposite of each-other. These are formed by intersecting lines.
"Perpendicular Lines" Lines that are at right angles (90°) to each other.
"Supplementary Angles" Two angles that add up to 180 degrees.
HAVE A GREAT DAY!
DEF is A dilatation of ABC by scale factor of 1/3
I am pretty sure the answer would be (a)
Find the area of the irregular figure in the diagram.
A) 12 units2
B) 14 units2
C) 15 units2
D) 16 units2
Answer:
C
Step-by-step explanation:
You count the boxes lol
Answer: C) 15 units 2
Step-by-step explanation: Count the number of squares! It is super easy!
Miss Jenkins the school cafeteria manager knows that 10 out of every 65 students order pizza for lunch there are 416 students at her school at this rate how many students will eat pizza in Miss Jenkins School?
If there are 10 orders for every 65 students, and there are 416 students, the total amount of orders would be:
(416/65) x 10
= 64
Therefore, 64 students will order/eat pizza in Miss Jenkins School
The answer is 64 students.
Hope this helps!
Please help with math problem
Answer:
[tex]a_0 = -8[/tex]
[tex]a_1=-6[/tex]
[tex]x^2 +y^2 -8x - 6y = 0[/tex]
Step-by-step explanation:
The equation of the circle has the following form
[tex]x^2 + y^2 + a_0x + a_1y=0[/tex]
The equation of the circle has the following form
We know that the circle goes through the following points
(1, 7)
(8, 6)
(7, -1).
Then we substitute the values of x and y in the equation
For (1, 7)
[tex](1)^2 + (7)^2 + a_0(1) + a_1(7)=0[/tex]
[tex]1 + 49 + a_0 + 7a_1=0[/tex]
[tex]a_0 + 7a_1=-50[/tex] (1)
For (8, 6)
[tex](8)^2 + (6)^2 + a_0(8) + a_1(6)=0[/tex]
[tex]64 + 36 + 8a_0 + 6a_1=0[/tex]
[tex]8a_0 + 6a_1= -100[/tex] (2)
With these equations is enough to solve the system
[tex]a_0 + 7a_1=-50[/tex] (1)
[tex]8a_0 + 6a_1= -100[/tex] (2)
Multiply the equation (1) by -8 and add it to the equation (2)
[tex]-8a_0 - 56a_1=400[/tex] (1)
[tex]8a_0 + 6a_1= -100[/tex] (2)
-----------------------------------------------------
[tex]-50a_1 = 300\\\\a_1 = -6[/tex]
Then
[tex]a_0 + 7(-6) = -50\\\\a_0 = -50+42\\\\a_0=-8[/tex]
Finally the equation is:
[tex]x^2 +y^2 -8x - 6y = 0[/tex]
5x^4+10x^3-175x^2 multi-step factoring
Find the Greatest Common Factor (GCF)
GCF = 5x^2
Factor out the GCF. (Write the GCF first. Then in parenthesis, divide each term by the GCF)
5x^2(5x^4/5x^2 + 10x^3/5x^2 + -175x^2/5x^2)
Simplify each term in parenthesis
5x^2(x^2 + 2x - 35)
Factor x^2 + 2x - 35
= 5x^2(x - 5)(x + 7)
find the distance between the two points 5,6 and 0,-6. Show your work
Answer:
The distance between two points is √169 or 13.
Step-by-step explanation:
In the question we need to find the distance between two points 5,6 and 0,-6 given.
Distance between two points can be found using the formula:
[tex]d(P1,P2) = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}[/tex]
Putting the given points in the formula we get,
x₂ = 0, x₁ = 5, y₂= -6, y₁= 6
[tex]=\sqrt{(0-(5))^2 + (-6-(6))^2} \\=\sqrt{(0-5)^2 + (-6-6)^2}\\=\sqrt{(-5)^2 + (-12)^2}\\=\sqrt{25 + 144}\\=\sqrt{169}\\=13[/tex]
So, the distance between two points is √169 or 13.
During a sales trip, Mr. Jones drove
15 miles east from Brownsville to
Carlton. Then he drove several more
miles east from Carlton to Sun City.
The distance from Brownsville to Sun
City is 35 miles. Write and solve an
addition equation to find how many
miles it is from Carlton to Sun City.
Hello There!
EQUATION 15+M=35M = 20 MILES
One week, a cake shop sold 45 pineapple cakes and 62 chocolate cakes on the weekdays and 55 pineapple cakes and 79 chocolate cakes over the weekend. Total sales were $3,520 on the weekdays and $4,415 over the weekend. Form a linear system representing this data and create a matrix.
The determinant of the matrix for the pineapple cake is:
a. $2850 b. $3420 c. $4350 d. $4625
The determinant of the matrix for the chocolate cake is:
a. $4350 b. $4625 c. $5075 d. $5225
Answer:
The determinant of the matrix for the pineapple cake is $4350 ⇒ c
The determinant of the matrix for the chocolate cake is $5075 ⇒ c
Step-by-step explanation:
* Look to the attached file
For the girl to lift this rock, she must push down with a force _____.
A. equal to the weight of the rock
B. less than the weight of the rock
C. greater than the weight of the rock
Answer:
B.
Step-by-step explanation:
B. The girl would have to use less force because she is using a simple machine, or a lever. The lever makes it easier to lift the rock because the rock is closer to the fulcrum.
A gym membership cost $19 each month. If Miss Lacey joins the gym for one year, will she pay more or less than $190? Explain your answer
Answer:
She will pay more
Step-by-step explanation:
because if you multiply 19x12 you get 228 which is more than 190.
Miss Lacey will pay more than $190 for a year of gym membership because 12 months multiplied by $19 per month equals $228, which is greater than $190.
Explanation:To determine if Miss Lacey will pay more or less than $190 for a year of gym membership, we need to calculate the total cost for one year. Since a year has 12 months, and the membership cost is $19 per month, we multiply the monthly cost by the number of months in a year:
Annual cost = $19 per month × 12 months
Therefore, the annual cost is:
$19 × 12 = $228
Comparing the annual cost to $190, we find that Miss Lacey will pay more than $190 for a year of gym membership, since $228 is greater than $190. This calculation exemplifies a straightforward mathematical operation involving multiplication and comparison.
determine whether each expression is equivalent to (2x^3)2/5
Answer:
Yes
No
No
Yes
No
Step-by-step explanation:
The given expression is [tex]\sqrt[5]{(2x^{3})^{2} }[/tex]
This can be rewritten as
[tex]\sqrt[5]{4x^{6} }[/tex]
Then an x can be factored out to give you
[tex]x\sqrt[5]{4x}[/tex]
Answer:
1.Yes
2.No
3.No
4.Yes
5.No
Step-by-step explanation:
Type the correct answer in the box.
A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the height of the prism is placed inside the prism, as shown in the figure.
The volume of the space outside the pyramid but inside the prism is
cubic centimeters.
Answer:
250 cubic cm
Step-by-step explanation:
First step is to measure the volume of the rectangular prism... which is easy... it's the width * length * height. Since we have a square base, the width and length are the same: 5 cm. The volume is then: 5 * 5* 12 = 300 cubic cm.
The volume of a pyramid is obtained by the following formula:
V = (1/3) * base_area * height
We have the base area (5 * 5 = 25) and we have the height: 6 cm (half of 12 cm).
So, the volume of the pyramid is:
V = (1/3) * 25 * 6 = (1/3) * 150 = 50 cubic cm
The volume inside the prism but OUTSIDE the pyramid is then the volume of the prism (300 cubic cm) - the volume of the pyramid (50 cubic cm), so 250 cubic cm.
A tissue box that has a height of 17 cm and that has a square base with a side length of 8 cm
Volume of tissue box with 17 cm height and 8 cm side length base is 1088 cubic centimeters.
To find the volume of the tissue box, you can use the formula for the volume of a rectangular prism:
Volume = Base Area × Height
Since the base of the tissue box is a square, you can find the area of the base by squaring the side length:
Base Area = Side Length^2
Then, you multiply the base area by the height of the tissue box:
Volume = Base Area × Height
Let's plug in the values:
Side Length = 8 cm
Height = 17 cm
First, find the base area:
Base Area = 8 cm × 8 cm = 64 cm²
Then, calculate the volume:
Volume = 64 cm² × 17 cm = 1088 cm³
So, the volume of the tissue box is 1088 cubic centimeters.
The complete question is here:
A tissue box that has a height of 17 cm and that has a square base with a side length of 8 cm. What is the volume of a box of tissue?