\(\textsf {Let the variables for the people be V, R, and S respectively.}\)
\(\textsf {1) R = V + 30}\)
\(\textsf {2) S = R - 20}\)
\(\textsf {3) S = 150}\)
\(\textsf {Substitute the value of S in Equation 2 :}\)
\(\implies \mathsf {150 = R - 20}\)
\(\implies \textsf {R = 170}\)
\(\textsf {Substitute the value of R in Equation 1 : }\)
\(\implies \textsf {170 = V + 30}\)
\(\implies \mathsf {V = 140}\)
\(\textsf {Therefore, Vinu collected 140 stamps.}\)
Vinu collected some stamps. Rahul collected 30 more than Vinu. Shaan collected 20 less than Rahul. Shaan had 150 stamps..Solving for x, we find that Vinu collected 140 stamps.
To find out how many stamps Vinu collected, we can follow the information given step by step. First, we know that Rahul collected 30 more stamps than Vinu. Let's represent the number of stamps Vinu collected as "x."
Therefore, Rahul collected x + 30 stamps. Next, we are told that Shaan collected 20 less stamps than Rahul. So, the number of stamps Shaan collected can be represented as (x + 30) - 20. We are also given that Shaan had 150 stamps.
Therefore, we can set up the equation: (x + 30) - 20 = 150. To solve this equation, we need to simplify it by combining like terms. (x + 30) - 20 simplifies to x + 10. Now we have the equation x + 10 = 150. To isolate x, we need to subtract 10 from both sides of the equation. Subtracting 10 from both sides gives us x = 140. Therefore, Vinu collected 140 stamps. In summary: - Rahul collected x + 30 stamps. - Shaan collected (x + 30) - 20 stamps. - The equation is (x + 30) - 20 = 150. - Simplifying, we get x + 10 = 150. - Solving for x, we find that Vinu collected 140 stamps.
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You are a space alien. You visit planet Earth and abduct 979797 chickens, 474747 cows, and 777777 humans. Then, you randomly select one Earth creature from your sample to experiment on. Each creature has an equal probability of getting selected. Create a probability model to show how likely you are to select each type of Earth creature. Input your answers as fractions or as decimals rounded to the nearest hundredth. Type of Earth creature Estimated probability Chicken Cow Human
The estimated probabilities are approximately: Chicken: 0.3904 (or 39.04%), Cow: 0.1899 (or 18.99%), Human: 0.4197 (or 41.97%)
We are given the following information about the number of creatures:
Number of chickens: 979797
Number of cows: 474747
Number of humans: 777777
To find the probability of selecting each type of creature, we need to divide the number of each creature by the total number of creatures in the sample
The total number of creatures is the sum of the number of chickens, cows, and humans: Total number of creatures = Number of chickens + Number of cows + Number of humans
Total number of creatures = 979797 + 474747 + 777777
Total number of creatures = 2233321
Now, we can calculate the probability of selecting each type of creature by dividing the number of each creature by the total number of creatures:
Probability of selecting a chicken = Number of chickens / Total number of creatures
Probability of selecting a cow = Number of cows / Total number of creatures
Probability of selecting a human = Number of humans / Total number of creatures
Substituting the values into the formulas, we get:
Probability of selecting a chicken = 979797 / 2233321 ≈ 0.3904 (rounded to four decimal places)
Probability of selecting a cow = 474747 / 2233321 ≈ 0.1899 (rounded to four decimal places)
Probability of selecting a human = 777777 / 2233321 ≈ 0.4197 (rounded to four decimal places)
Therefore, the estimated probabilities of selecting each type of creature are approximately: Chicken: 0.3904 (or 39.04%), Cow: 0.1899 (or 18.99%), Human: 0.4197 (or 41.97%)
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Please help ASAP!
Write the recurring decimal 0.123 (1 and 3 being the repeated) as a fraction
Answer:
41/333
Step-by-step explanation:
it is unclear what you mean.
I assume the recurring decimal is
0.123123123123...
with the recurring sequence being 123.
I will base my answer on that assumption.
0.123 would be easy, right ?
that would be
123/1000
but what would be
123/999 ?
the same as
123/1000
but it leaves 123 additional remaining compared to 123/1000.
that adds 0.000123 with an additional 123 remainder. and so on for all eternity.
that is why
123/1000
creates simply 0.123, but
123/999
creates
0.123123123123123...
so, the answer is
123/999 = 41/333
FYI
the length of the recurring sequence defines how many 9s to use in the denominator. and we use the recurring sequence as numerator
if the length is 1, we use one 9.
like 2/9 = 0.222222...
if the length is 2, we use two 9s.
like 34/99 =0.3434343434...
and if the length is 3 (like in our assume case), we use three 9s.
like in 123/999 = 0.123123123123123...
and so on.
17 is 12.5% of what number?
How do you write 6.83 in words?
Answer:
six point eighty three
Step-by-step explanation:
the sum of two numbers is 495. the one digit of one thte numbers is you cross off the zero the resulting number will eqal the other number what are the numbers
The two numbers whose sum is 495 and follows the required conditions are 450 and 45.
Let the two numbers be "AB0" and "AB," where A and B are digits, and 0 represents a zero.
The sum of the two numbers is equal to 495.
The last digit of one of the numbers is zero, which means the first number is a multiple of 10, so we can rewrite it as 10x.
If you cross off the zero from the first number, you get the second number, so the second number is AB.
Now, let's substitute the values into the equation:
10x + x = 495
Now, add the like terms, and we get,
11x = 495
Divide both sides by 11, and we get,
x = 495/11
x = 45
And, 45 times 10 is 450.
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The complete question:
The sum of the two numbers is equal to 495.
The last digit of one of them is zero.
If you cross the zero off the first number you will get the second.
What are the numbers?
which ordered pair is a solution of the equation ?
Answer:
neither
Step-by-step explanation:
both answers is not the solution
of the x would be: (74,0)
and from the y is: (0,-7)
Please help me this is my last question
Answer:
5.831
Step-by-step explanation:
Pythagoras says RS = √(5²+3²) = √34 ≈ 5.831
Answer:
RS ≈ 5.83 units
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Here RS is the hypotenuse and the legs have measure 5 and 3, thus
RS² = 5² + 3² = 25 + 9 = 34 ( take the square root of both sides )
RS = \(\sqrt{34}\) ≈ 5.83 ( to 3 significant figures )
Determine whether each of these statements is true or false.a) 0 ∈ ∅ b) ∅∈{0}c) {0}⊂∅ d) ∅⊂{0}e) {0}∈{0} f ) {0}⊂{0}g) {∅} ⊆ {∅}
a) True, b) False, c) False, d) True, e) False, f) False, g) True
a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.
b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.
c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.
d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.
e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.
f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.
g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.
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\( \sqrt{18} - \sqrt[x]{2 } = \sqrt{32} \)
solve for x
How do i solve this paper?
I feel like my answers are gone and i need help.
Answer:
you have it correct sir
Step-by-step explanation:
Naming segments, rays, and lines Classify each figure as a line, ray, or line segment. Then, show how to write it. (a) GEOMETRY (b) (c) Explanation A Figure F B D E Check Type line ray line segment O line ray Oline segment line ray line segment How to write it 7 П 8 X 10 10 S ?
(a) The figure is line Segment
(b)The figure is line.
(c )The figure is ray.
Line segment: An part of a line with two endpoints is called a line segment. Different shapes, including triangles, polygons, hexagons, and squares, are constructed using a variety of line segments. A line segment's length is its measurement.
Line: A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.
Ray: Ray is a further link in the chain. It consists of a line and a line segment combination with one terminating end and an eternally extending end. Its length cannot be calculated since one of its ends is non-terminating.
Line segment, Line and Ray:
A line segment is a section of a line with two ends that has a quantifiable length. A ray, on the other hand, has only one fixed point (its starting point), but no endpoint. Therefore, its length cannot be determined.A line can be extended on both sides and has no ends. In contrast, a line segment cannot be extended on both sides because it has two endpoints.
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Aaron has 47 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 266 square meters. List each set of possible dimensions (length and width) of the field.
The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).
Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.
The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.
Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:
Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,
we have:Length of the field, l = 11 m
Width of the field, w = 12 m
Area of the field = l × w = 11 × 12 = 132 sq. m
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If x= 7 units and h=5 units, then what is the area of the triangle.
A 17.5 square units
B 35 square units
C 52.5 square units •
D. 125 square units
first person gets the brainiest answer.
Answer: A 17.5 square units
Step-by-step explanation:
The area of a triangle is Half of the base times the height.
\(A = \frac{bh}{2}\)
\(A = \frac{7*5}{2}\)
A = 35/2
A = 17.5
what are the equivalence classes of the equivalence relations in exercise 1?
The equivalence classes of the equivalence relations in exercise 1 are the sets of elements that are related to each other under the given equivalence relation.
For example, if the equivalence relation is "x is related to y if x and y have the same remainder when divided by 3," then the equivalence classes would be:
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Write a function describing the relationship of the given variables. a varies directly with r and when r = 6 , a = 18
The function describing the relationship of the given variables is a= 6r
How to write a function describing the relationship of the given variables.?The statement is givn as:
a varies directly with r
This means that
a= kr
Where k is the constant of variation
When r = 6 , a = 18, we have
18= 6k
Divide by 6
k = 3
Substitute k = 3 in a= kr
a= 6r
Hence, the function describing the relationship of the given variables is a= 6r
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I am so confused, I am terrible at math.
Answer:
D
Step-by-step explanation: when both equations are graphed on the same graph the touch in one place which is (2,1)
The area of a rectangle is 27 it?, and the length of the rectangle is 3 ft less than twice the width. Find the dimensions of the
rectangle
For each transformation in the table below, indicate which properties are true and false by selecting true or false from the drop down menus in each box
Translation, rotation, and reflection are three of the fundamental transformations.
What properties do transformations have?Translation, rotation, and reflection are three of the fundamental transformations.The four main categories of transformations are as follows :Rotation.Translation.Dilation.ReflectionA metamorphosis is a significant alteration in appearance or form. The only change that might provide similarity is dilation.Non-rigid transformations are those that dilate when length and angle measurements are not preserved.Since they maintain length, translation, reflection, and rotation are isometries. Congruency transformations are hence translation, reflection, and rotation.An image that is congruent to the preimage is produced through stiff or isometric transformation.To learn more about transformation refer to:
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A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
The answer is: Yes, all conditions for inference are met.
Find the exact values of x and y.
13 and 13√2 is the value of x and y in the given diagram
Trigonometry identityThe given diagram is a right triangle, we need to determine the value of x and y.
Using the trigonometry identity
tan45 = opposite/adjacent
tan45 = x/13
x = 13tan45
x = 13(1)
x = 13
For the value of y
sin45 = x/y
sin45 = 13/y
y = 13/sin45
y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.
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EVERYTHING IS IN THE PICTURE!
Answer:
The answer is B From my calculations
how to know if a function has a vertical asymptote
To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.
A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:
Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.
Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.
For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.
In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.
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i need help on this on a test what is 1/2 times 2/3
Answer:
1/3
Step-by-step explanation:
1/2 times 2/3 is just 1/3 ( since (1/2)*(2/3) =1/3)
X+5x-36
What is the simplest form of
?
x² - 16
X+ 9
X+4
9
o
X+9
X-4
9
4
Answer: If you meant (x^2 + 5x - 36)/(x^2-16) then the answer is: (x+9)/(x-4)
Step-by-step explanation:
This is just factoring, you can use guess and check.
If you take just the numerator: x^2+5x-36 and factor. To factor consider -36, and the multiples that can add up to 5 (from 5x).
x^2 + 5x - 36/(x^2-16)
The denominator is actually a rule of (a+b)(a-b) which in this case (x+4)(x-4)
(x+9)(x-4)/(x-4)(x+4)
Now just divide like terms which is the (x-4)/(x-4)=1
(x+9)/(x+4)
Write this fraction in an equation using words: 2/3
Answer:
two-thirds plus five=five and two-thirds
Step-by-step explanation:
This relationship leads to the conclusion that there is no Pythagorean triple of this form that contains the integer 2. Why?
Answer:
suppose 2^2 + b^2 = c^2 with 2 < b < c (it should be clear that this assumption is fine, 12 + 22 = 5 and sqrt(5) is not an integer; 22 + 22 = 8 and sqrt(8) is not an integer). Then c^2 - 4 = b^2 so (c+2)(c-2) = b^2. As b is prime, this means c-2=b or c-2=1 (since c+2 > 1). So either c=b+2 or c=3. The c=3 case can't happen since that would make b^2 = 5 so we are left with c=b+2. Then we have 4 + b^2 = (b+2)2 = b2 + 4b + 4 meaning that b=0. So there are no triples involving 2.
Step-by-step explanation:
A Pythagorean triple of this form cannot contain integer 2 if we add extra 2x²y² because it will increase the value of the coefficient of xy to 4.
The given function:
\((x^2-y^2) + (2xy)^2 = (x^2 + y^2)^2\)
This function is expanded as follows;
\((x^2-y^2)^2 + (2xy)^2 = (x^2 + y^2)^2\\\\x^4 + y^4 -2x^2y^2 + 4x^2y^2 = x^4 +y^4 + 2x^2y^2\\\\add \ \ (+2x^2y^2) \ to \ both \ sides \\\\x^4 +y^4 +4x^2y^2 = x^4 +y^4 +4x^2y^2\)
In this expanded form of the given function, it is clear that non of the coefficients of x and y contains integer 2 and the supposed coefficient value of xy increase to 4 because of the extra 2x²y² added to the function.
Thus, we can conclude that a Pythagorean triple of this form cannot contain integer 2 if we add extra 2x²y² because it will increase the value of the coefficient of xy to 4.
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someone help and explain
We can fill in the boxes to make each equation complete as follows:
1. x³x⁹ = x¹²
2. x⁷/x³ = x⁴
3. 1/x⁻⁵ = x⁵
4. (7b³c⁵)³ = 343b⁹c¹⁵
How to solve the exponentsTo solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.
1. x³x⁹ = x³ ⁺ ⁹ = x¹²
For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.
2. x⁷/x³ = x⁷ ⁻ ³ = x⁴
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Solve for linear equations by substitution
x + 2y = 6
X-y=3
Answer:
Let's solve your system by substitution.
x+2y=6;x−y=3
Step: Solvex+2y=6for x:
x+2y=6
x+2y+−2y=6+−2y(Add -2y to both sides)
x=−2y+6
Step: Substitute−2y+6forxinx−y=3:
x−y=3
−2y+6−y=3
−3y+6=3(Simplify both sides of the equation)
−3y+6+−6=3+−6(Add -6 to both sides)
−3y=−3
−3y
−3
=
−3
−3
(Divide both sides by -3)
y=1
Step: Substitute1foryinx=−2y+6:
x=−2y+6
x=(−2)(1)+6
x=4(Simplify both sides of the equation)
Answer:
x=4 and y=1
Step-by-step explanation:
Answer:
x=4 and y=1
b) Tyler swam 32 laps in the pool. Kevin swam 3 times as many laps as Tyler. Lets the number of
laps Kevin swam.
If Tyler did 32 laps and Kevin did 3 times that amount; its quite simple, you would find three times the amount of Tylers laps which is 96.
Answer:
The answer is 96
Step-by-step explanation:
to find the answer you need to multiply 32 by 3 (32 x 3) which equals 96. Or 32 3 times is 96. Hope this helps!
Find m
A. 148
B. 164
C. 116
D. 58