Answer:
MP = Rs. 978.72
The market price of the article is Rs. 978.72
Step-by-step explanation:
Let MP represents the market price.
Let SP represents the selling price.
Let CP represents the cost price.
if an article is sold with 20% discount then there will be a profit of 15%.
0.80MP = 1.15CP
0.80MP - 1.15CP = 0
If it is sold at 10% discount then there will be a profit of Rs.200
0.9MP - CP = 200
We are asked to find the market price of an article.
0.9MP - CP = 200
0.9MP×1.15 - 1.15CP = 200 ×1.15
1.035MP - 1.15CP = 230
But 1.15CP = 0.80MP
1.035MP - 0.80MP = 230
0.235MP = 230
MP = 230/0.235
MP = Rs. 978.72
Therefore, the market price of the article is Rs. 978.72
Match each power of a power expression with its simplified expression.
Answer:
(-4^9)^2 = -4^18
(4^6)^-3 = 1/4^18
(4^0)^-9 = 4^0
(4^-3)^-3 = 4^9
Step-by-step explanation:
Here, we want to match what we have on the left with the expressions on the right.
(-4^9)^2
= -4^18
(4^6)^-3
= 4^-18 = 1/4^18 according to laws of indices
(4^0)^-9 = 4^0
(4^-3)^-3
= 4^9
Answer:
(-4^9)^2 = -4^18
(4^6)^-3 = 1/4^18
(4^0)^-9 = 4^0
(4^-3)^-3 = 4^9
Step-by-step explanation:
Use the graph to evaluate the function below for specific inputs and outputs.
Answer:
y = G(x) = 6, when x = -4
y = G(x) = -2, when x = 3
Step-by-step explanation:
From the attached graph tracing the first point to the graph and then to x axis.
y = G(x) = 6
as shown on the attachment(by the thick line)
y = G(x) = 6, when x = -4
From the attached graph tracing the second point to the graph and then to x axis.
y = G(x) = -2
as shown on the attachment(by the thin line)
y = G(x) = -2, when x = 3
With steps , please .
Answer:
Θ=15
Step-by-step explanation:
AD=DC so triangle BCD is isosceles, so angle DBC = angle BCD = Θ
So angle BDC=180-Θ-Θ=180-2Θ
angle BDE = 180- angle BDC = 180-180+2Θ=2Θ
in triangle BDE all angles must add up to 180
angle BED= 180- angle BEA=180-90=90
so
90+4Θ+2Θ=180
90=6Θ
Θ=15
i mark brainliest for all my questions that are answered right :) thx for helping me
Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x − 23 g(x) = −4.5x + 7
Answer:
(The solution is (4, -11).
Step-by-stp explanation:
Let f(x) = g(x) = y:
y = 3x − 23
y = -4.5x + 7 Subtract the second equation from the first to eliminate y:
0 = 7.5x - 30
7.5x = 30
x = 4
Plug this into the first equation:
y = 3(4) - 23
y = -11.
(4x + 9)/2 1/3= 3x/0.5
The value of x is 9/10.
The given equation is [tex]\frac{4x+9}{2\frac{1}{3} } =\frac{3x}{0.5}[/tex].
What is an equation?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.
Now, [tex]\frac{4x+9}{\frac{7}{3} } =\frac{3x}{\frac{1}{2} }[/tex]
⇒(4x+9)×3/7=3x×2
⇒12x+27=42x
⇒30x=27
⇒x=9/10
Therefore, the value of x is 9/10.
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HELP ME PLEASE PLEASE IM BEGGING
Answer:
The solution is the triplet: (a, b, c) = (-3, 0, 0)
Step-by-step explanation:
Let's start with the second equation, and solving for "a":
a - b = -3
a = b - 3
Now replace this expression for a in the third equation:
2 a + b = -6
2 (b - 3) +b = -6
2 b - 6 +b = -6
3 b = -6 +6
3 b = 0
b = 0
So if b = 0 then a = 0 - 3 = -3
now we can replace a= -3, and b = 0 in the first equation and solve for c:
2 a - b + c = -6
2 ( -3) - 0 + c = -6
-6+ c = -6
c = -6 + 6
c = 0
Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)
Combine the like terms to create an equivalent expression: -n+(-3)+3n+5
Answer: 2n+2
Step-by-step explanation:
1. Remove the parentheses
-n-3+3n+5
2. Collect like terms
2n-3+5
3. Calculate the sum
2n+2
F(x)3x+5/x what is f(a+2)
Answer:
3a+6+5/(a+2)
Step-by-step explanation:
To do this you replace x with a+2, meaning that 3x+5/x turns into 3(a+2)+5/a+2. Simplified this is 3a+6+5/(a+2)
An amusement park sells adult tickets and children’s tickets, with adults tickets costing $5 and children’s tickets costing $3. If Ed bought 15 tickets and spent a total of $57, how many children’s tickets did he buy?
Answer:
9 children tickets
Check:
adult is 5$
child3$
6×5=30
9×3=27
30+27=57
Step by step in photo
Answer:
the answer is 6
Step-by-step explanation:
If 3x-5=10x+9, what is 4(x+7)?
Answer: not sure
Step-by-step explanation:
Answer:
Hey there!
3x-5=10x+9
-5=7x+9
-14=7x
x=-2
4(x+7)
4(-2+7)
4(5)
20
Hope this helps :)
Some one HELP PLEASE
THE ANSWER IS NOT 40,5 20 -20
Answer:
x = 20
Step-by-step explanation:
If AE is a bisector then it divides the angle in half
BAE = EAC
x+30 = 3x-10
Subtract x from each side
30 = 2x-10
Add 10 to each side
40 = 2x
Divide by 2
40/2 =2x/2
20 =x
Approximate 5.7255 to the nearest thousandth
Answer:
5.726
Step-by-step explanation:
First, find the thousandths place value. Note the place values:
5 (one's place value)
.
7 (tenth's place value)
2 (hundredth's place value)
5 (thousandth's place value)
5 (ten thousandth's place value)
Find the thousandths place value. Look at the number located directly next to it (ten thousandth's place value).
Note that:
If the number is 4 or less, round down.If the number is 5 or greater, round up.Since the number is 5, round up.
5.7255 rounded to the nearest thousandths place value is 5.726
~
A taut string of length 10 inches is plucked at the center. The vibration travels along the string at a constant rate of c inches per millisecond in both directions. If x represents the position on the string from the left-most end, so that 0≤x≤10, which of the following equations can be used to find the location x of the vibration after 0.3 milliseconds? A. | x -5 | =0. 3 B. ∣cx−5∣=0.3 C. | x -0.3 | = 5 D. | x - 10 | =0.3c
Answer:
The correct option is
[tex]A. \ \dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex]
Step-by-step explanation:
The parameters given are;
The length of the string = 10 inches
The speed or rate of travel of the wave = c inches per millisecond
The position on the string from the left-most end = x
The time duration of motion of the vibration to reach x= 0.3 milliseconds
The distance covered = Speed × Time = c×0.3
Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;
The location on the string where it is plucked = center of the string = 10/2 = 5 inches
Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches
Therefore, on the left side of the center of the string we have;
The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)
On the right side of the center, the distance from x is -(5 - x) = x - 5
Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is [tex]\dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex] or [tex]\left | x - 5 \right | = 0.3 \times c[/tex] which gives the correct option as A
Please help ! ;v; A coordinate plane is shown. A line passes through the point (-4,1) and through the y-axis at 4. What is the y-intercept of the line shown?
Answer:
(0, 4)
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis when x = 0. Since you are given the graph, you can see that when x = 0, the graph crosses y = 4, so our y-int is (0, 4).
Nzjksjsjdidnxnskusxh
Answer:
99cm^2
Step-by-step explanation:
Look at pic
According to the graph, what is the value of the constant in the equation below?
Answer:
C. 20
Step-by-step explanation:
Constant = Height × Width
Constant = 5 × 4 = 20
Solve the system of equations by substituion,
-5x + y = 3
7.5x - 1.5y = 3
Help!!!!! please!!!!!
Given: JP = KP; PX = PY Prove: ΔPYJ ≅ ΔPXK Triangles P Y J and P X K overlap and intersect at point Z. Point X of triangle P X K is on side J P of triangle P Y J. Point Y of triangle P Y J is on side K P of triangle P X K. Which best describes the missing reasons? ♣: ♦:
Answer:
Which best describes the missing reasons?
♣:reflexive property
♦: SAS
Step-by-step explanation:
I just did it.
The missing reasons is ♣: reflexive property
We have given that,
JP = KP; PX = PY
ΔPYJ ≅ ΔPXK Triangles P Y J and P X K overlap and intersect at point Z. Point X of triangle P X K is on side J P of triangle P Y J. Point Y of triangle P Y J is on side K P of triangle P X K.
We have to determine which best describes the missing reasons.
What is the reflexive property?
The reflexive property of equality states that a number is always equal to itself. Reflexive property of equality. If a is a number, then. a = a. a=a.
♣: reflexive property
♦: SAS
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A triangle is drawn on a coordinate plane. Point A is at (2,6), Point B is at (4,10), and Point C is at (8,5). What is the midpoint of side AB
?
Answer:
I(3,8)
Step-by-step explanation:
to answer this question we must use this relation :
let I be our midpoint I([tex]\frac{2+4}{2}[/tex];[tex]\frac{6+10}{2}[/tex])I(3,8)√12 a rational number or an integer?
Answer:
Square root of 12 is a interfering because it isn’t a perfect square.
Answer:
It is an integer.
Step-by-step explanation:
Integers are all types of numbers may it be negative or positive but rational numbers are positive and negative fractions or decimals. So √12 is an integer.
Hope this helps.
Tell whether each of the following is a function.
1. Which of the following could be a function? Select three that apply.
A {(2,5),(4, -3), (-2,1),(1,6)}
B {(1,3), (2, 1), (3,5), (1, -3)}
C {(-1, 1), (0,0), (1, 1), (-2,2)}
D {(0,0), (2,4), (2,-4), (3,9)}
E {(-2,8),(-3,-27),(-1,1),(3,27)}
Answer:
A, C, E
Step-by-step explanation:
A function cannot have an x-value that produces more than y-value. Examples would be {(2, 2), (2,3)} and {(1,0), (1,5)}.
A - This could be a function because it follows the above rule.
B - This can not be a function because it has an x-value that has two y-values.
C - This could be a function because it follows the rule.
D - This can not be a function because it has an x-value that has two y-values.
E - This could be a function because it follows the rule.
geometry question please help
Answer:
see below
Step-by-step explanation:
Alright, geometric probability.
We need to find
the area of the rectanglethe area of the equilateral triangle the area of the square the area of the part of the circle that does not include the squareand the area of the part of the rectangle that does not include the square, circle, or triangle.To find those, we need to find the areas of:
the outer rectanglethe circlethe equilateral trianglethe squareLet's start off with the easiest figure. The circle.
The circle has a radius of 10. Therefore, its area is is π[tex]r^2[/tex]. 100π is roughly 314.159265.
The circle has an area of around 314.159265.
Half of the diagonal of the square is 10m. That means that the full diagonal of the square is 20 m.
Formula for side of square using diagonal:
a = q / √2
20/√2 = 14.142135623731
The area of a square is a^2
14.142135623731^2= 200
The area of the square is 200 m^2. (28)
Using this, and the area of the circle, we can find the area of the part of the circle that does not include the square.
314.159265 - 200= 114.159265
The area of the part of the circle that does not include the square is 114.159265.
Now, the most important calculation (because it lets us find the total area of the rectangle); the equiangular triangle.
The height of this triangle is 30m. Therefore, the area is 519.6152422706632.
The area of the equiangular triangle is 519.6152422706632.
The side length of the equiangular triangle is 34.64101615137755.
The area of the rectangle= l times w.
l = 34.64101615137755
w= 30
30 times 34.64101615137755= 1039.23048454133
The total area is 1039.23048454133.
Now that we have the denominator of our fraction (total area), lets go back to our questions.
We need to find
the area of the equilateral triangle the area of the square the area of the part of the circle that does not include the squareand the area of the part of the rectangle that does not include the square, circle, or triangle.The area of the equilateral triangle = 519.6152422706632
519.6152422706632/1039.23048454133 = .5
The geometric probability that a point chosen randomly inside the rectangle is inside the equilateral triangle is .5
The area of the square = 200
200/1039.23048454133 = 0.19245008973
The geometric probability that a point chosen randomly inside the rectangle is inside the square is 0.19245008973
The area of the part of the circle that doesn't include the square: 114.159265
114.159265/1039.23048454133= 0.10984980396
The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle that doesn't include the square is 0.10984980396
The part of the rectangle that doesn't include the square, circle or triangle.
Area of triangle = 519.6152422706632
(The triangle contains the circle and square).
1039.23048454133- 519.6152422706632 = 519.61524227067
519.61524227067 /1039.23048454133 = 0.5
The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle doesn't include the square, circle, or triangle is 0.5
Hope this helped! Let me know if I made an errors, or if my answers are incorrect.
Q2:
Which expression is equivalent to 4(x + 1) – 7(x + 3)?
A
11x + 25
B
11x – 17
C
–3x – 17
D
–3x + 25
Answer:
The expression equivalent to the given equation is -3x - 17
Step-by-step explanation:
4(x + 1) - 7(x + 3)
Distribute 4 to (x + 1) and distribute 7 to (x + 3).
4x + 4 - 7x - 21
Combine like terms.
-3x - 17
What does x(x - 2) equal?
Answer:
x^2 - 2x
Step-by-step explanation:
Distribute the x to every term in the parenthesis.
Answer:
x^2 -2x
Step-by-step explanation:
x(x - 2)
Distribute
x*x - 2*x
x^2 -2x
Solve the inequality 5(2h + 8) < 60
Step-by-step explanation:
5(2h+8) <60
10h +40< 60
10h + 40-40 < 60-40
10h < 20
10h/10 < 20/10
h < 2
helpppppp pleaseeeeee
Answer:
HL, the two triangles both share a side and have right angles.
Step-by-step explanation:
Congruent Triangles - Hypotenuse and leg of a right triangle. (HL) Definition: Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. If, in two right triangles the hypotenuse and one leg are equal, then the triangles are congruent.
Write the equation of a line in SLOPE-INTERCEPT FORM that goes through (7,-3) and (6,-8).
Answer:
y = 5x-38
Step-by-step explanation:
The slope is m = (y2-y1)/(x2-x1)
= (-8 - -3)/(6-7)
= ( -8+3)/(-1)
=-5/-1
=5
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 5x+b
Substitute a point into the equation
-8 = 5(6) +b
-8 = 30+b
-8-30 = 30-30+b
-38 = b
y = 5x-38
Slope formula: y2-y1/x2-x1
-8-(-3)/6-7
-5/-1
5
Find the y-intercept with the formula for slope intercept form.
y = mx + b
-3 = 5(7) + b
-3 = 35 + b
-3 - 35 = 35 - 35 + b
-38 = b
Fill in what we have:
y = 5x - 38
Best of Luck!
A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend? Ju Chan answered the question by writing the following: 4(−15) meters = −60 meters. Which word in the problem indicates that a negative number should be used?
Answer:
"descends"
Step-by-step explanation:
(just had the same question).