Answer:
Rs 20
Step-by-step explanation:
140%=Rs 70
100%
(100%×Rs 70)÷140%=50
Rs 70-Rs 50=Rs 20
Please solve it. It will help me for my exam preparation.
The solution of the given expression is [tex][p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}[/tex]
Given [tex]p^{2} /(p-y)^{y} -2p/(p-y)^{y-1} +7/(p-y)^{y-2}[/tex]
We have to solve the above expression.
We know that expression is a combination of numbers, symbols, variables and coefficients, indeterminants. Expression shows relationship between variables. LCM is the smallest number that is divisible by both the numbers whose LCM has been taken. Coefficients are present in the beginning of variables. Symbols are arithmetic signs like addition, subtraction, multiplication and division, etc.
We have to take LCM of the expression and solve accordingly so that the expression can be solved =
[tex]p^{2} /(p-y)^{y} -2p/(p-y)^{y-1} +7/(p-y)^{y-2}[/tex]= [tex][p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}[/tex]
Hence the expression [tex]p^{2} /(p-y)^{y} -2p/(p-y)^{y-1} +7/(p-y)^{y-2}[/tex] is equal to = [tex][p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}[/tex]
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A father is 28 years older than his son. in 8 years time he will be 3 times as old as his son. how old is the father now?
Answer:
34 years
Step-by-step explanation:
f = s + 28 Eq. 1
f+8 = 3(s+8) Eq. 2
f = father age
s = son age
replacing Eq. 1 on Eq. 2
(s+28) + 8 = 3(s+8)
s + 36 = 3*s + 3*8
s + 36 = 3s + 24
36 - 24 = 3s - s
12 = 2s
12/2 = s
s = 6
from the Eq. 1
f = 6 + 28
f = 34
Check
from the Eq. 2
34+8 = 3(6+8)
42 = 3*14
Perpendicular segments are best described as being which of the following?
A. Segments that intersect
B. Segments that are coplanar
C. Segments that will never intersect
D. Segments that intersect at a right angle
Answer:
D
Step-by-step explanation:
Perpendicular lines intersect at a 90° angle.
Answer:
D. Segments that intersect at a right angle
Step-by-step explanation:
in a test out of 40,the marks of 15 students were 31,18,6,26,36,24,23,14,28,28,32,9,11,22,21.
a.calculate the mean mark for the test
b.express the mean mark as a percentage
Answer:
a. The mean mark for the test was 20.667.
b. The mean mark as a percentage is 51.6%.
Step-by-step explanation:
a. Calculate the mean mark for the test.
Add all of the scores from each student. [tex]31+18+6+26+36+24+23+14+28+28+32+9+11+22+2=310[/tex]Divide the sum by the amount of students who took the test.[tex]310/15=20.667[/tex]Therefore, the mean mark for the test was 20.667.b. Express the mean mark as a percentage.
Put mean mark and total possible marks in fraction form.[tex]\frac{20.667}{40}[/tex]Divide the numerator by the denominator (essentially changing the fraction into the decimal form). [tex]20.667/40=0.516[/tex]Multiply the quotient by 100. [tex]0.516*100=51.6[/tex]Therefore, the mean mark as a percentage is 51.6%6,000+50+5 standard form
The expression 6000 + 50 + 5 in standard form is 6.055 * 10^3
How to express in standard form?The expression is given as:
6000 + 50 + 5
Evaluate the sum
6055
A number in standard form is represented as
a * 10^b
Where:
0 < a < 1
b is an integer
So, we have:
6055
Multiply by 1
6055 * 1
Express 1 as 1000/1000
6055 * 1000/1000
This gives
6.055 * 1000
Express 1000 as 10^3
6.055 * 10^3
Hence, 6000 + 50 + 5 in standard form is 6.055 * 10^3
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Find the midpoint of the segment with the following endpoints. (-9, 8) and (-4, -2)
The mid point of the segment with the following endpoints. (-9, 8) and (-4, -2) is (-6.5, 3)
How to find mid point ?The mid point of the segment can be found as follows;
The endpoint is a follows:
(-9, 8) and (-4, -2)
Therefore,
mid point = (x₁ + x₂ / 2, y₁ + y₂ / 2)
hence,
mid point = (-9 - 4 / 2, 8 - 2 / 2)
mid point = (-13 / 2 , 6 / 2)
mid point = (-6.5, 3)
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Select the correct answer from each drop-down menu.
onsider this equation.
-1-5 = I-8
The equation has
and
A valid solution for x is
The equation √(x – 1) – 5 = x – 8 has the solution 2 and 5. But the valid solution for x will be 5.
The complete question is attached below.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
√(x – 1) – 5 = x – 8
Add 5 on both sides, then we have
√(x – 1) = x – 3
Square on both sides, then
x – 1 = (x – 3)²
x – 1 = x² – 6x + 9
x² – 7x + 10 = 0
Then the factor of the equation will be
x² – 7x + 10 = 0
x² – 5x – 2x + 10 = 0
(x – 5)(x – 2) = 0
x = 5, 2
Then the valid solution will be 5.
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Which of the following describe an angle with a vertex at E.
Answer:
A and B are correct
Step-by-step explanation:
The middle letter represents the vertex of an angle. For instance, angle ABC has a vertex at B. Because the letter "e" is in the middle of angle FED and angle DEF, it represents the vertex of those angles. Hope this helps
150 - 4n, find the first negative term
write the explicit rule for the nth term of the arithmetic sequence. then find the 43rd term (3,5,7….)
[39/(15-2)|-(2*9)
someone solves this please, I keep getting different answers and everytime I look up the answer every website shows a different answer..
Answer:
[39/(15-2)]-(2×9) = -15
Step-by-step explanation:
[39/(15-2)]-(2×9)
Let’s start with this part : 39/(15-2)
According to the order of operations parentheses comes before division
then
39/(15-2) = 39/(13) = 39/13 = 3
We get [39/(15-2)]-(2×9) = 3 - (2 × 9)
…………………………………………
Calculating 3 - (2 × 9)
According to the order of operations parentheses and multiplication comes before division
Then
3 - (18) = 3 - 18 = -15
Thus
[39/(15-2)]-(2×9) = -15
This is a sketch of the curve with equation y = f(x).
The curve has a minimum point at M(-1, -3).
Write down the coordinates of the minimum point
of the curve with equation
y = f(x) - 2
Answer:
(-1, -5)
Step-by-step explanation:
Each point on a graph is the ordered pair (x, f(x)). Then the point M(-1 -3) is the ordered pair (-1, f(-1)) where f(-1) = -3.
A point on the shifted graph will be ...
(x, f(x) -2)
Then for x = -1, the point is ...
(-1, f(-1) -2) = (-1, -3 -2) = (-1, -5)
The minimum on the shifted curve is M'(-1, -5).
_____
Additional comment
f(x) is the y-coordinate of a point on a graph. Then f(x) -2 is the y-coordinate shifted down 2 units.
Equation of a graph problem
Answer:
this quantity refers to the amount that a container can hold.
how to solve this???
[tex]\large\sf{\sqrt{\frac{1+sin\theta}{1-sin\theta}}+\sqrt{\frac{1-sin\theta}{1+sin\theta}}}[/tex]
[tex]\\[/tex]
[tex]\large \sf{=\frac{\left(\sqrt{1+sin\theta}\right)^{2}+\left(\sqrt{1-sin\theta}\right)^{2}}{\sqrt{(1-sin\theta)(1+sin\theta)}}}[/tex]
[tex]\\[/tex]
[tex]\large\sf{=\frac{1-sin\theta+1+sin\theta}{\sqrt{1^{2}-sin^{2}\theta}}}[/tex]
[tex]\\[/tex]
[tex]\large \sf{=\frac{2}{\sqrt{cos^{2}\theta}}}[/tex]
[tex]\\[/tex]
[tex]\large\sf{= \frac{2}{cos\theta}}[/tex]
[tex]\\[/tex]
[tex]\large\sf{= 2sec\theta}[/tex]
[tex]\\[/tex]
[tex]\large\sf{=RHS}[/tex]
Therefore,
[tex]\large\sf\red{\sqrt{\frac{1+sin\theta}{1-sin\theta}}+\sqrt{\frac{1-sin\theta}{1+sin\theta}}=2sec\theta}[/tex]
Solve the system. 2x y = −3 −2y = 6 4x write each equation in slope-intercept form. y = x y = x
The system of equation has an infinitely many solutions
How to solve the system of equations?The equations are given as:
2x + y = -3
-2y = 6 + 4x
Express 2x + y = -3 in slope-intercept form
y = - 3 -2x
Divide through by -2 in -2y = 6 + 4x
y = -3 - 2x
So, we have:
y = - 3 -2x and y = -3 - 2x
Both equations are the same.
This means that the system of equation has an infinitely many solutions
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What’s the answer? I don’t know how I got it wrong
Answer:
C. Line PQ
Step-by-step explanation:
Tangent means touching, not crossing.
can someone look at this image?
Answer:
image doesn't showing up ........
Look at the graph below.
what is the slope of the line ?
Answer:
The slope is [tex]-\frac{1}{5}[/tex].
Step-by-step explanation:
Choose 2 points on the graph.
(7,3) and (2,2)
Use slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{2-3}{2-7}[/tex]=[tex]\frac{-1}{-5}[/tex]
The slope is [tex]-\frac{1}{5}[/tex].
Answer:
[tex]\frac{1}{5}[/tex] or [tex]0.2[/tex]
Step-by-step explanation:
The slope refers to the gradient of the line.
There is a formula to find the gradient of a line where m is the gradient:
[tex]m=\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]
So, we will take two points on the line.
Let's take our first point as (-3, 1) and our second as (7, 3).
Let's work with the [tex]y[/tex] values.
The first [tex]y[/tex] value is 1 and the second [tex]y[/tex] value is 3.
So, in the numerator, they would look like [tex]3 - 1[/tex].
Let's work with the [tex]x[/tex] values.
The first [tex]x[/tex] value is -3 and the second [tex]x[/tex] value is 7.
So, in the denominator, this would look like [tex]7--3[/tex].
Let's use these in the fraction and work out our answer:
[tex]m = \frac{3-1}{7--3} = \frac{2}{10} = \frac{1}{5} = 0.2[/tex]
Therefore, our final answer is [tex]\frac{1}{5}[/tex] or [tex]0.2[/tex].
In the figure below, segment HK and segment IJ intersect at P, and segment HI is parallel to segment Jk. Which of the following angles must be congruent to angle PKJ?
Answer:
angle PHI
Step-by-step explanation:
Using the alternate interior angle theorem, we can figure out that PHI is congruent to PKJ
Line I has a slope of -The line through which of the following pair of
13
points is perpendicular to l?
The points (2,6) (-4,-7) have a slope of 13/6 which satisfies the perpendicular condition option (B) is correct.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete.
The complete question is:
Line L has a slope of -6/13. The line through which of the following pair of points is perpendicular to L?
A) (6,-4) (-7,2)
B) (2,6) (-4,-7)
C) (6,9) (-4,-4)
D) (13,-4) (-7,2)
Line L slope m = -6/13
If two lines are perpendicular:
(m)(m') = -1
(-6/13)(m') = -1
m' = 13/6
From the points given finding the slope of every point:
A) (6,-4) (-7,2)
[tex]\rm m' =\dfrac{2+4}{-7-6}[/tex]
m' = -6/13
B) (2,6) (-4,-7)
[tex]\rm m' =\dfrac{-7-6}{-4-2}[/tex]
m' = 13/6
Thus, the points (2,6) (-4,-7) have a slope of 13/6 which satisfy the perpendicular condition option (B) is correct.
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1. y = 5 x Reflected across the x-axis 2. y = 5 –x+ 5 Reflected across the y-axis 3. y = 5 –x + 5 Translated down by 5 units 4. y = 5 –x – 5 Translated up by 5 units 5. y = –5 –x Translated left 5 units 6. y = 5 –x – 5 Translated right by 5 units
The matchup are:
1. Translated left 5 units - y = 5⁻ ˣ ⁻ ⁵ 2. Translated right by 5 units - y= 5⁻ ˣ ⁺ ⁵3. Translated up by 5 units - y = 5⁻ˣ + 54. Translated down by 5 units - y = 5⁻ ˣ -5 5. Reflected across the x-axis - y= - 5 ⁻ ˣ6. Reflected across the y-axis -y = 5ˣWhat is Translation and reflection?Reflection is known to be the turning over an object across a line and it is one where we do not need to change its size or shape.
While Translation is said to be sliding a figure into another direction and it is one where we do not need to change its size, shape or make.
The Translation and reflection matchup are given:
1. Translated left 5 units - y = 5⁻ ˣ ⁻ ⁵ 2. Translated right by 5 units - y= 5⁻ ˣ ⁺ ⁵3. Translated up by 5 units - y = 5⁻ˣ + 54. Translated down by 5 units - y = 5⁻ ˣ -5 5. Reflected across the x-axis - y= - 5 ⁻ ˣ6. Reflected across the y-axis -y = 5ˣSee full question below
Match each function formula with the corresponding transformation of the parent function y = 5-^x Please help ASAP!!
1. y = 5x
Translated left 5 units
2. y = 5–x + 5
Translated right by 5 units
3. y = 5–x – 5
Translated up by 5 units
4. y = 5–x+ 5
Translated down by 5 units
5. y = –5–x
Reflected across the x-axis
6. y = 5–x – 5
Reflected across the y-axis
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ENS of soda (input)
60
70
80
90
100
110
Earnings (output)
$ 24
$28
$ 32
$36
$ 40
$ 44
How many liters would you have to sell to earn
$36?
000
Clear all
Enter the correct answer.
000
2
DONE
Answer:
90 liters
Step-by-step explanation:
please mark me as brainlest
What is the value of 3 in this number? 728. 36
Answer:
The place value of 3 is tens
the 3 is in the value of tens
Howard drew a square in Quadrant IV and correctly reflected it across the y-axis.Which statement explains one method Howard could have used to determine the coordinates of the vertices of the image?
Using translation concepts, the method that Howard could have used to determine the coordinates of the vertices of the image is:
(x,y) -> (-x,y).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
A reflection over the y-axis can be described according to the following rule:
(x,y) -> (-x,y).
Hence this rule can be applied to find the vertices.
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Helen wants to have cake for her party. She needs 1 cake for every 8 people. Which expression helps her decide how many cakes to buy if p represents the number of people?
A. 8p
B. 1/8p
C. 8 + p
D. p-8
a) Work out (2.3 x 10 to power of 4 x (1.5 x 10 to power of negative 2
Give your answer in standard form.
b) Work out (3.6 x 10 to power of negative 5 + (1.8 x 10 to power of 2)
Give your answer in standard form.
Answer:
A. 345
B. 180
Step-by-step explanation:
That is the right answer
ASAP!!! What is the least common denominator of the expression below?
Answer:
D
Step-by-step explanation:
factor the denominators of both fractions
x² - 16 ← is a difference of squares
= (x - 4)(x + 4)
8x + 2x² ← factor out 2x from each term
= 2x(4 + x) = 2x(x + 4)
then expression is
[tex]\frac{x^2}{(x-4)(x+4)}[/tex] + [tex]\frac{9x}{2x(x+4)}[/tex]
with LCD of 2x(x + 4)(x - 4)
What is the area of rectangle ABCD?
coordinate plane with rectangle ABCD at A 0 comma negative 1, B 0 comma 4, C 4 comma 4, and D 4 comma negative 1
Answer:
Area = 20 units
Step-by-step explanation:
A (-1,0)
B (0,4)
C (4,4)
D (4,-1)
i hope this is right
Answer:
Area = 20
Step-by-step explanation:
A (0,-1)
B (0, 4)
C (4, 4)
D (4, -1)
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
Enlarge shape by scale factor 3
Explanation:
When you change the size of a shape by a scale factor ("enlarge" means increasing the shape by a scale factor > 1), you increase all dimensions of that shape by a factor.
For example, if a rectangle's length is 2 units [two boxes in this case]. you make that size 6 units [2 · 3 = 6]; and if its width is 1 unit, you make that 3 units [1 · 3 = 3]
[scaling up our dimensions:]
So, we apply the same logic here. Any side length is now three times longer, so when the original length [along the bottom] was two boxes, that should now cover 6 boxes.
The height of 1 box [left side] will now be expanded to 3 boxes.
The other height of 2 boxes will now be 6 boxes [2 · 3 = 6]
The slanted portion should be easy to connect between your new side lengths and width
[but you could always use Pythagorean theorem to figure out the length; it would be 1² + 2² = c², or 5 = c², so the literal length of this side would be √5 ; you probably aren't expected to do this / you don't have to]
You didn't show the new graph to graph it on, but this is how you would graph it.
hope this helps!! have a lovely day :)
