Answers
Related Questions
The marked price of a computer is Rs. 60000. If allowing a% discount on the marked price and adding a% VAT, the price of the computer will be Rs. 58986. Find the rate of VAT.
Answers
The problem can be solved using algebra. Let's say the discount rate is x, then the price after discount is:
60000 (1 - x/100)
The price after VAT is:
60000 (1 - x/100) (1 + y/100) = 58986
Where y is the rate of VAT.
Rearranging the equation we get:
(1 - x/100) (1 + y/100) = 58986/60000
Multiply both sides by 100 to get rid of the fractions:
100 (1 - x/100) (1 + y/100) = 981
Expanding and grouping like terms, we get:
100 - x + 100y - xy = 981
We can see that x is in two terms, so we can move one side of the equation and get:
100 - x + 100y = 981 + x
x = (981 + x - 100 + 100y)/100 = (981 + xy - 100y)/100
Now we have x in only one term and we know the value of x is 10%, so we can substitute it:
10 + 10y = 9.81
Solving for y we can find that y = 0.81 or 81%
So the VAT rate is 81%
How do you find the value of x in a two step equation?
Answers
Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse.
Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse.
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convert each percent increase or decrease into a multiplier show work
a. 5 percent increase
b. 12 percent decrease
Answers
Answer:
a. 1.05
b. 0.95
Step-by-step explanation:
a. 5 percent increase
5% = 0.05
Because it is increasing, so we add 1
1 + 0.05 = 1.05
b. 12 percent decrease
12% = 0.12
Because it is decreasing, so subtract 1
1 - 0.05 = 0.95
So, the answer is
a. 1.05
b. 0.95
There are three ways to solve a system of equations. Sometimes it is easier to use one method instead of another. Provide an example of three systems and explain what method should be used to solve and why it is the easiest method given the way the system is written.
Answers
Explanation
Graphing is easy if you have a graphing app like D e s m o s graphing calculator - where you can plug in the equations and find the point where they intersect.
Substitution works great when the equations are already in y intercept form, substitute one equation into the other for the value of a variable.
Elimination works best when the two equations have one variable that can be eliminated through adding together a same positive and negative variable, such as +2x and -2x
solve for x(best answer brainliest)
24x+15=25x+45
Answers
[tex]24x+15=25x+45[/tex]
Subtract 25x from both sides:
[tex]24x+15-25x=25x+45-25x[/tex]
[tex]-x+15=45[/tex]
Subtract 15 from both sides:
[tex]-x+15-15=45-15[/tex]
[tex]-x=30[/tex]
Divide both sides by -1(to remove negative from variable):
[tex]\dfrac{-x}{-1} =\dfrac{30}{-1}[/tex]
[tex]\fbox{x = -30}[/tex]
Answer:
[tex] \sf \: x = - 30[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
→ 24x + 15 = 25x + 45
Then the value of x will be,
→ 24x + 15 = 25x + 45
→ 24x - 25x = 45 - 15
→ -x = 30
→ [ x = -30 ]
Hence, the value of x is -30.
Select the correct answer. which expression is equivalent to this quotient?
Answers
An expression which is equivalent to given [tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5z+15} }[/tex] is 5 / (z + 5)
The correct answer is an option (B)
Consider given quotient.
[tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5z+15} }[/tex]
Consider expression 5z + 15
We can write this expression as 5(z + 3) by taking out the common factor 5.
So given quotient would be,
[tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5(z+3)} }[/tex]
As we know a fraction is put in lowest terms by cancelling out the common factors of the numerator and the denominator.
For fraction [tex]\frac{z+3}{5(z+3)}[/tex] , the common term is z + 3.
So, [tex]\frac{z+3}{5(z+3)} = \frac{1}{5}[/tex]
We know that for fractions a/b and c/d where b ≠ 0, d ≠ 0, if we take quotient of these fraction then that would be,
(a/b) / (c/d) = (a/b) × (d/c)
So, given quotient would be,
[tex]\frac{\frac{1}{z+5} }{\frac{1}{5} }\\\\\\=\frac{1}{z+5} \times \frac{5}{1} \\\\\\=\frac{1\times 5}{(z + 5)\times 1}[/tex]
= 5 / (z + 5)
Therefore, an equivalent expression is: 5 / (z + 5)
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A box contains six cards. Three of the cards are black on both sides, one card is black on one side and red on the other, and two of the cards are red on both sides. You pick a card uniformly at random from the box and look at a random side. Given that the side you see is red, what is the probability that the other side is red? Express your answer as a common fraction.
Answers
The probability that the other side of the card is red is [tex]\frac{4}{5}[/tex].
What is conditional probability?The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood conditional, occurrence to determine the conditional probability.
Suppose you choose a red/black card:
The probability of choosing a red and black card is [tex]\frac{1}{6}[/tex].
Now, since this card has one side as red the probability of seeing a red side in this card is [tex]\frac{1}{2}[/tex].
Suppose you choose a red/red card:
The probability of choosing red and red card is 2/6.
Now, since the card has two red sides the probability of seeing red side in this card is [tex]\frac{2}{2}[/tex] .
Considering we see a single side of the card we have the following probability:
[tex]\frac{2}{6} * \frac{2}{2} = \frac{1}{3}[/tex]
The total probability of seeing a red side is [tex]\frac{1}{12} + \frac{1}{3} = \frac{5}{12}[/tex].
The probability that you pick red-red card and see a red side is [tex]\frac{1}{3}[/tex].
So, the conditional probability of both red sides is given as:
[tex]\frac{\frac{1}{3} }{\frac{5}{12} } = \frac{4}{5}[/tex]
Hence, the probability that the other side of the card is red is [tex]\frac{4}{5}[/tex].
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Please help me with either 2 or 3, which ever one you would rather do.
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Answer:
send the picture clearly i will help uou surely
15 points, see attachment
Answers
Answer: HG = CD.
Step-by-step explanation: If you tilt the second triangle so it's flat like the first triangle, you can see that HG is equal to CD.
A fisherman illegally drops some fish into a pond, and they quickly propagate (reproduce). The population growth of the new specifies is modeled by P(x) = 6∙2x, where x is the time in weeks following the moment he dropped the fish into the pond. How many fish are in the pond after 3 months? (assume there are four weeks in a month) a. 48 b. 8, 916 c. 24,576 d. 72
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The value of b that needs to be simplified is indicated as 1.43. The correct response when the new population growth is specified is A.
what is exponential function ?A mathematical function known as an exponential function has the following formula: f (x) = an x, where x is a variable and an is a constant known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base. Bacterial proliferation is an illustration of an exponential function. Some bacteria grow by twofolds per hour. After x hours, there will be twice as many germs present as there were when you started with just one. The formula for this is f(x) = 2x.
Given that,
When a fisherman unlawfully releases some fish into a pond, they immediately multiply (reproduce). P(x) = 6bx, where x is the number of weeks that have passed since the moment the fish was placed into the pond, and b is an unknown positive base, serves as a model for the population expansion of the new species.
According to the question,
P(x) = 6bˣ
Put p(x) = 51 and x = 6
51 = 6b⁶
17/2 = b⁶
b = [17/2]¹/⁶
b = 1.43
The b value that must be simplified is given as 1.43. A is the proper answer.
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y2−10y+24+6x−9x2
[tex]factorization[/tex]
Answers
Answer:
y(2-10)2(12+3x)...
Step-by-step explanation:
first make groups of the numbers
y2 with 10 y they both have y in common
so you can write it as y(2-10)
after 24 with 6x they both have 2in common (2×12=24)
so you can write it as 2(12+3x)
and you can do the rest with the same technique
please help: find m∠BCD
Answers
Answer:
m<BCD=60
Step-by-step explanation:
4x+6=7x-12
3x=18
x=6
4(6)+6
24+6
30
30+30=60
======================================================
Reason:
Use the HL (hypotenuse leg) theorem to prove that triangle BCF is congruent to triangle DCF.
It then leads to the fact that angle BCF is congruent to angle DCF.
Set those angle expressions equal to one another. Solve for x.
angle BCF = angle DCF
4x+6 = 7x-12
4x-7x = -12-6
-3x = -18
x = -18/(-3)
x = 6
Then,
angle BCF = 4x+6 = 4*6+6 = 30angle DCF = 7x-12 = 7*6-12 = 30Both angles are the same measure to confirm the correct x value.
Lastly, add up those angles to get angle BCD.
30+30 = 60 degrees is the final answer.
b) Sita had 50 sweets. She ate 10 sweets and gave 8 sweets to her brother. If she divided the rest of them among her 8 friends equally, how many sweets would each friend get
Answers
Answer:
4 sweets per friend
Step-by-step explanation:
so first you want to minus 10 sweets since she ate 10 leaving her with 40 sweets. then she gives 8 sweets to her brother leaving her with 32 sweets left. If you divide the remaining sweets ( 32 ) by 8 you get 4 sweets per friend
She has 32 sweets left but wants to divide it with her 8 friends so 32 divided by 8 equals 4.
Each of her 8 friends will receive 4 sweets each
I need help with this
Answers
Answer:g
Step-by-step explanation:
g
How do you find the ratios for sin A and cos A?
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In given right triangle ACB, the ratios for sin A and cos A :
sin(A) = 48/50
cos(A) = 14/50
Consider the following diagram.
In a right triangle ACB, the angle ACB = 90 degrees.
We know that in right triangle for an angle θ, the trigonmetric ratios are:
sin(θ) = opposite side of θ/ hypotenuse
cos(θ) = adjacent side of θ / hypotenuse
Here, side AC = 14 units, side CB = 48 units and the hypotenuse AB = 50 units
We need to find the ratios for sin A and cos A
In right triangle ACB for angle A,
sin(A) = opposite side of angle A/ hypotenuse
sin(A) = CB/AB
sin(A) = 48/50
And cos(A) = adjacent side of A / hypotenuse
cos(A) = AC/AB
cos(A) = 14/50
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Can you let me know the answer please
Answers
Answer:
y ≤ [tex]\frac{1}{3}[/tex] x - 4
Step-by-step explanation:
the first step is to obtain the equation of the line.
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (3, - 3) ← 2 points on the line
m = [tex]\frac{-3-(-4)}{3-0}[/tex] = [tex]\frac{-3+4}{3}[/tex] = [tex]\frac{1}{3}[/tex]
the line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = [tex]\frac{1}{3}[/tex] x - 4 ← equation of the line
----------------------------------------------
the shaded region below the line indicates the values that are less than y
the solid line indicates that y can equal the values on the line (≤ )
the solution is then
y ≤ [tex]\frac{1}{3}[/tex] x - 4
How to list the sides of a triangle in order from shortest to longest?
Answers
To list the sides of a triangle in order from shortest to longest, you can follow these steps - Measure the length of each side of the triangle using a ruler or measuring tape. Then, write down the lengths of each side in a list. Sort the list in ascending order. The shortest side will be at the top of the list, and the longest side will be at the bottom.
A triangle is a polygon with three sides. By the property of a triangle which is the sum of any two sides of a triangle is greater than the third side. This property is known as the "Triangle Inequality Theorem".
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Tims picture. is 8 feet long. The length of a copy of the picture is 1/2 a foot long. What is the scale factor from the original to the copy?
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Answer: The scale factor is a ratio that compares the dimensions of an object to a copy of that object. To find the scale factor from the original picture to the copy, you can divide the length of the copy by the length of the original.
In this case, the length of the original picture is 8 feet and the length of the copy is 1/2 a foot.
So the scale factor is:
1/2 a foot / 8 feet = 1/16
This means that the copy is 1/16 the size of the original. This means that, for each inch or foot on the original, the same length on the copy is 1/16 of that length.
It's also common to express scale factor as a ratio or a fraction of the original, which in this case is 1/16
It's worth mentioning that you could use this same method to find the scale factor for any other dimension of the picture, such as width, height and so on.
Step-by-step explanation:
Shelby is creating a budget for the week. At her job, she earns $15. 50 per hour. Her rent costs $300. Shelby wants to have at least $280 left over after paying rent. Which inequality shows how many hours, h, Shelby should work?
PLEASEEE ANSWERR LOL
Answers
The inequality which shows that Shelby should work for h hours is given by 15.5 h - 300 ≥ 280.
Given that,
Rent = 300 dollars
Shelby wants to have at least $280 left over after paying rent.
The total earnings of Shelby calculated in a week are given as, 15.5 h
where,
h is the number of hours
To that we have to substract the rent amount, and we'll get how much does she have left after paying rent,
15.5 h - 300
And she wants this amount to be at least 280 dollars. The inequality can therefore be expressed as follows,
15.5 h - 300 ≥ 280
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2, 3, -4, -6, -8
From the list of numbers, write down:
(a) three numbers whose sum is -12
(b) two numbers whose product is -24
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I believe this is correct.
A is: -4, -6, 2
B is: -4, 6
Find the value of x. Write your answer as a decimal
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The equation is 4x + 17 = 7. Then the value of the variable 'x' will be negative 2.5.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangles are congruent triangles. Then the ratio of the corresponding sides will be equal to one. Then the equation is given as,
4x + 17 = 7
Simplify the equation, then we have
4x + 17 = 7
4x = 7 - 17
4x = - 10
x = - 10/4
x = - 2.5
The equation is 4x + 17 = 7. Then the value of the variable 'x' will be negative 2.5.
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What’s the slope of the line going though the points (12,0) and (12,9)
Answers
Answer:
infinity/undefined (both are acceptable)
Undefined is actually the best answer in college but your answer key might put it as infinity.
Step-by-step explanation:
Observe that the x coordinates of the two points are exactly the same at 12.
This reduces the possibility of the line being a horizontal or a vertical line.
Imagine, if x coordinates is always the same, it means that you are only varying y and that happens when you move up and down the graph.
Hence, the line is a straight vertical line. (Line equation: x = 12)
Gradient/Slope of a vertical line = infinity/undefined.
The slope of the given line is Undefined
The slope of the line when two points in the line is given is given by
m=(y₂-y₁)/(x₂-x₁)
The points are (12,0) and (12,9)
m=(9-0)/(12-12)
= 9/0
=Undefined
The slope of the line is Undefined
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HELP PLSSS I NEED THIS QUICK!!!!!
Answers
Answer: Its B
Step-by-step explanation:
what is x if 2/9+x=11/18?
Answers
Answer:
x = 7/18
Step-by-step explanation:
what is x if 2/9+x=11/18?
2/9 + x = 11/18
x = 11/18 - 2/9
x = 63/162
x = 7/18
check
2/9 + 7/18 = 11/18
11/18 = 11/18
the answer is goodIf P is the midpoint of ST, SP = x + 4, and ST = 4x, determine the length of ST.
Answers
The length of ST is 16 units.
What is Line segment?A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.
We have to given that;
Point P is the midpoint of ST.
SP = x + 4, and ST = 4x
Since, P is the midpoint of ST.
Hence, We get;
⇒ SP = PT
And, ST = 2 SP
Substitute all values we get;
⇒ 4x = 2 (x + 4)
⇒ 4x = 2x + 8
⇒ 4x - 2x = 8
⇒ 2x = 8
⇒ x = 4
Thus, The value of ST = 4x
= 4×4
= 16
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1) (0,-3) (-2,-4) find the slope
Answers
Therefore , the solution of the given problem of slope comes out to be
M = 1/2.
What is a slope?What determines a line's steepness is its slope. Gradient overflow is a mathematical expression for the gradient. The slant is the proportion of both the vertical difference (rise) over the distance between two locations to the lateral change (run) over the same distance. Hill form of an equation is used to express a straight line's equation, which is written as y = mx + b. A point on the line where the slope is m, b equals a, and the y-intercept is placed is (0, b). An illustration would be the slope and y-intercept of the formula y = 3x - 7 (0, 7). At the location of the y-intercept, the line has a slope of m, b, and c.
Here,
Given : (0,-3) and (-2,-4)
Thus,
To calculate the slope ,
We use formula:
=> M = y2 -y1 /x2-x1
=> M = -4 -(-3) / -2 - 0
=> M = -1 /-2
=> M = 1/2
Therefore , the solution of the given problem of slope comes out to be
M = 1/2.
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Write two expressions (with at least two terms each) that when added together have a sum of -4n 6.
Answers
On solving the provided question, we can say that the sum of the two expressions will be -4n + 6
what is expression ?It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression) A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)It is possible to compare expressions and phrases.
Expression, Number/Variable, and Mathematical Operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.
let the two expression be
-4nand 6 and the sum will be -4n + 6
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3. Geese and Pigs: A farmer raises only geese and pigs. She wants to raise no more than
16 animals total including no more than 10 geese. She spends $5 to raise a goose and $15 to raise a pig, and has $180 available for this project. Find the maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20.
Answers
The maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20.
How can you determine the table's maximum profit?Making the Most of Total Revenue and Total Cost Data. Just multiply the price by the quantity at each quantity to find the company's total revenue. Next, deduct the company's total cost at each quantity, which is provided in the table.
Let the number of geese be x and the number of pigs be y
From the given information, we can form the following inequalities:
x ≤ 10
y ≥ 05
x + 15y ≤ 180
Maximize 6x + 20y.
We want to find the intersection points of the first three equations since x and y are bounded within the area under these
These points are (0,0), ( 10,0), (0,12), (10,65/3).
At (0,0) , the profit is $0
At ( 10,0), the profit is $60
At (0,12) , the profit is $240
At (10,65/3) , the profit is $499.33
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Beth is making a garden plot which measures 6 open parentheses square root of x plus 2 end root close parentheses units in length and open parentheses 5 square root of x plus 2 end root close parentheses units in width. What is the area of the garden?
Answers
The area of the garden whose length and width as given in the task content is; 30 (x + 2) square units.
What is the area of the garden plot whose length and width are as described?It follows from the task content that the expression which represents the area of the garden plot whose dimensions are as given.
Recall that Area, A = length × width.
Therefore, since length = 6 (√(x + 2)) units
The width = (5 √(x + 2) ) units
Hence, the area of the garden plot as required in the task content is; 6 (√(x + 2)) × ( 5 √(x + 2) )
= 30 (x + 2) square units
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Which value of b makes the equation b/4 =12 true? a. 48 b. 16 c. 9 d. 3
help please i have 4 mins to finish ;((
Answers
The correct option is (a) 48.
In algebra, an equation is a statement of equality between two expressions. These expressions can be numbers, variables, or a combination of both.
In the equation:
b/4 = 12, the variable b is on one side of the equation and the value 12 is on the other side.
To find the value of b that makes the equation true, we need to isolate the variable b on one side of the equation.
In this case, we can do this by multiplying both sides of the equation by 4.
This cancels out the denominator of the fraction on the left side, and we get,
b = 12*4= 48.
This means that when b is equal to 48, the equation b/4 = 12 is true.
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