Varun takes 4 rotis per meal and Rosa takes 2 per meal
Varun wastes 40 rotis in 20 days
How to determine the number of Rotis per meal and the Rotis wastedLet's call the number of rotis Varun takes per meal "V".
We know that Rosa takes half the amount of rotis as Varun, so Rosa takes V/2 rotis per meal.
Together, they take V + V/2 = 1.5V rotis per meal.
If they consume 120 rotis in 20 days, that means the amount they consume is
Amount = 120/20 = 6 rotis per day.
So, 1.5V = 6, and V = 4.
Varun takes 4 rotis per meal and wastes 4/2 = 2 rotis per meal.
Over 20 days, Varun would waste 2 * 20 = 40 rotis.
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Can someone help with this
y = 4x is the only function that represents the proportionality.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given there are Few functions, we need to find which of the given function is proportional:
Since, We know that only the linear functions that pass through the origin are proportional.
So only function that provides the value of y at x = 0 is 0 will shoe properties of proportionality
Therefore, only function that is proportional is y = 4x.
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Find the values of x and y.
Answer:
x = 7 , y = 4
Step-by-step explanation:
the triangle on the right has 3 congruent angles and is therefore equilateral with 3 congruent sides, so
3x - 5 = 5y - 4 → (1)
the triangle on the left has 2 congruent angles and is therefore isosceles with the 2 legs being congruent, so
3x - 5 = y + 12 → (2)
we have 2 equations with 3x - 5 on the left side so equate the right sides
5y - 4 = y + 12 ( subtract y from both sides )
4y - 4 = 12 ( add 4 to both sides )
4y = 16 ( divide both sides by 4 )
y = 4
Then
5y - 4 = 5(4) - 4 = 20 - 4 = 16 , so
3x - 5 = 16 ( add 5 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
what value of poisson's ratio characterizes deformation without change in volume? group of answer choices
Poisson's ratio v can get close to 1, but never reach it 1/2. G/B = 3(1-2v)/(2(1+v)) limits it.
The right hand side must be positive because the shear G and bulk B moduli must both be positive since else an elastic material would spontaneously deform. This results in -1 v 12.
Because of those symbols, equality is not possible; consequently, G/B cannot be zero. The elasticity formulas are invalid because any substance with G = 0 is a fluid.
Keep in mind that v = 12 is the typical model for rubbers. Since the ratio G/B is greater than 6000 for gum rubbers, this estimate is only a rough guide. This presumption has the effect of ignoring any volumetric distortion.
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Please Help!
I don't understand how to work out this question.
∠XBC is 55 degrees because it is corresponding to ∠AXY..
The angle ∠BXC is 70 degrees
How to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, same interior angles, vertically opposite angles etc.
Therefore, XY and BD are parallel lines.
XB = XC
ΔXBC is an isosceles triangle.
Therefore, ∠XBC is 55 degrees because it is a corresponding angle to ∠AXY.
Let's find ∠BXC.
Therefore, the base angles of an isosceles triangle are congruent.
Hence,
∠XBC = ∠BCX = 55 degrees
Therefore,
55 + 55 + ∠BXC = 180
110 + ∠BXC = 180
∠BXC = 180 - 110
∠BXC = 70 degrees
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selena would like to learn a new language. to gauge how common it is for people to know more than one language, she asks 10 of her friends how many languages they speak. she compiles the responses in the table below. languages spoken 2 1 1 1 2 3 1 2 1 1 use a calculator to create a relative frequency distribution for the data. what is the relative frequency of her friends who speak more than one language?
The relative frequency of Selena's friends who speak more than one language is 3/16 or 0.1875
To create a relative frequency distribution, we first need to find the total number of responses by summing up the number of languages spoken by Selena's friends. In this case, the total number of responses is 2 + 1 + 1 + 1 + 2 + 3 + 1 + 2 + 1 + 1 = 16.
Next, we need to find the relative frequency for each category, which is the number of responses in that category divided by the total number of responses. To find the relative frequency of her friends who speak more than one language, we need to add up the number of responses in categories 2, 3, and above.
In this case, the number of responses in category 2 is 2, the number of responses in category 3 is 1, and there are no responses above 3.
So the relative frequency would be (2+1)/16 = 3/16 or 0.1875
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PLEASE HELPPPPPPPP.
The value of x would be √2.
What is the 45-45-90 triangle?
A 45-45-90 triangle is a special type of right triangle where the angles measure 45 degrees, 45 degrees, and 90 degrees. The sides of the triangle are in a specific ratio to each other. The hypotenuse, or the longest side of the triangle, is the same length as the other two sides (the legs). This side length is also equal to the square root of 2 times the length of either leg. The legs of the triangle are congruent to each other. This triangle is also known as an "isosceles right triangle".
In the given figure, we can apply a 45-45-90 triangle,
side opposite to 45 = 1/√2 * Hypotenuse
x = 1/√2 * 2
x = √2
Hence, the value of x would be √2.
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The perimeter of the floor in an office building is 127. 5 feet. What is the perimeter of the floor in the office building in yards?
The perimeter of the floor of the office building which was given as 127.5 feet is equal to 42.5 yards.
Perimeter of the floor in an office building is equal to 127.5 feet.
Convert perimeter of the floor of the given office building in feet into yards:
Number of feet in one yard = 3 feet
3 feet = 1 yard
⇒ 1 feet = ( 1 / 3 ) yard
⇒ 127.5 feet = ( 127.5 ) × ( 1 / 3 ) yards
⇒127.5 feet = ( 127.5 / 3 ) yards
⇒127.5 feet = ( 42.5 ) yards
Therefore, the perimeter of the floor of the given office building is equal to 42.5 yards.
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What are the domain and range of f(x) =7?
Answer:
C
Step-by-step explanation:
26. In the diagram below, what must be the
measure of the angle marked x?
39
62
Please help
The angle denoted by the letter x is an inscribed angle created by the intersection of the chords AC and BD, as can be seen.
What is meant by angle?Corner, whether it be a protruding element or a section of an enclosed space. the pattern created by two lines that diverge from the same point.
a measurement of an angle or the degree of rotation necessary to parallelize or align two angled lines or planes.
An angle in planar geometry is a form created by two rays or lines that have a common termination. The English word "angle" derives from the Latin word "angelus," which means "corner."
The vertex, which serves as the joint terminus of two rays, and the two rays are known to as the sides of an angle and an angle, respectively.
Our goal is to determine the size of the angle denoted by the x:
We may use the chord theorem formula because we can see that the angle denoted with x is an inscribed angle created by the intersection of the chords AC and BD.
x = BC + AD / 2
By replace BC with 39 and AD with 62, we get:
x = 39 + 62/2
x=50.5°
Therefore, measure of the angle marked x=50.5°
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Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed
number.
5 inches = ? Feet
Answer:
To convert inches to feet, we divide the number of inches by the number of inches per foot. One foot is equal to 12 inches.
So, to convert 5 inches to feet:
5 inches / 12 inches/foot = 5/12 feet
The answer can be simplified as a proper fraction.
5 inches = 5/12 feet
Select the correct answer.
What is this series written in sigma notation?
2. 5 + 2. 5(1. 2) + 2. 5(1. 2)2 +.
2 +. 2. 5(1. 2)87
ОА.
87
2. 5(1. 2)*
OB.
2. 5(1. 2)*1
O c.
2. 5(1. 2)*
OD.
2. 5(1. 2)*–1
=1
The given series in sigma notation is [tex]\sum_{k=1}^{88} 2.5(1.2)^{k-1}[/tex].
A geometric series is the summation of an infinite number of terms that have a constant ratio between consecutive terms.
This is an infinite geometric series with a first term of 2.5, a common ratio of 1.2, and 87 terms. It can be written as:
2.5 + 2.5(1.2) + 2.5(1.2)^2 + ... + 2.5(1.2)^87 = 2.5 × (1 + 1.2 + 1.2^2 + ... + 1.2^87)
If we look at the power, it is always one less the term, i.e., for the first term, the value of k = 0.
So, the series in the form of summation is as follows:
[tex]\sum_{k=1}^{88} 2.5(1.2)^{k-1}[/tex]
Hence, the correct answer is D.
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--The given question is incorrect; the correct question is
"what is this series written in sigma notation 2.5 + 2.5(1.2)+2.5(1.2)^2+...+2.5(1.2)^87"--
Han and Leia plan on renting a 1050SQFT apartment. In order to do this, they
have the following fees: $150 application desposit, $15 credit report, Security
deposit equal to 1 month's rent, Last AND first month's rent, Broker's fee that
is 12% of the yearly rent. If 1 month's rent is $1350, howmuch should Brian
and Jamie plan on spending when they sign their lease?
The amount that Brian and Jamie have to plan on spending should be: $4859.
How to solve for the amount that should be spentThe security deposit is equal to 1 month's rent, which is $1350.
The first and last month's rent is also $1350, so that's a total of $2700 for the first and last month's rent and the security deposit.
The broker's fee is 12% of the yearly rent, which is $1350 x 12 = $16,200.
12% of $16,200 is $1944.
So in total, they will have to pay $150 application deposit + $15 credit report + $2700 + $1944 = $4859.
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Divide. Write the quotient in lowest terms. 5\dfrac{2}{3} \div 4 =5 3 2 ÷4=5, start fraction, 2, divided by, 3, end fraction, divided by, 4, equals
The quotient for the given division of fractions [tex]5\dfrac{2}{3} \div 4[/tex] is 17/12.
We are given the equation - [tex]5\dfrac{2}{3} \div 4[/tex]
First we will convert the mixed fraction 5\dfrac{2}{3} in to improper fraction as follows -
[tex]5\dfrac{2}{3}[/tex] [tex]= \frac{3*5+2}{3}[/tex]
[tex]5\dfrac{2}{3}[/tex] [tex]= \frac{17}{3}[/tex]
Now we will divide the fraction as follows -
[tex]5\dfrac{2}{3} \div 4[/tex]
= 17/3 ÷ 4
taking the reciprocal of 4 and changing the divide sign into multiplication we get,
= 17/3 x 1/4
= 17*1 / 3*4
= 17/12
Hence, the quotient for the given division of fractions is 17/12.
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please help thank you :)
Answer:
Without exponents: a * a * a * a * a
Fill in the blank: [tex]a^5[/tex]
Step-by-step explanation:
We have to use exponent rules:
[tex]x^y * x^y = x^{y+y} \\= x^{2y}[/tex]
So for this problem, we can apply that rule here:
[tex]a^3 * a^2 = a^{3+2}[/tex]
= [tex]a^5[/tex]
^ This will be the answer to the second question.
Now, to find the equation without exponents, we can use the information we have from above. We need to use this rule: [tex]x^2 = x * x[/tex]
Since our equation is [tex]a^5[/tex], we can rewrite it as a * a * a * a * a.
An iron rod of length 10.38 ft is bent to form a circle. What is the radius of the circle?
The radius of circle for the given length of rod is found as 1.65 ft
Define the term perimeter of the circle?The border or entire arc length of a circle's perimeter is known as its perimeter. A circle's circumference is the term used to describe its edge.The radius of circle serves as one of the three variables in the perimeter of such a circle formula, along with two constants. The formula for calculating a circle's circumference or perimeter is as follows:Perimeter of circle = 2 π r
In which,
r = radius of the circleπ = 3.14When the length of the rod is bent to form the circle.
Length of rod = Perimeter of circle
10.38 = 2 π r
r = 10.38 / 2 π
r = 1.65
Thus, the radius of the circle for the given length of rod is found as 1.65 ft.
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What expressions are equivalent to 6g - 18h?
Choose 2 answers
A: (g - 3) x 6
B: 2 x (3g - 18h)
C: 3(2g - 6h)
D: (-g - 3h)(-6)
E: -2 x (-3g + 9h)
The expression that is equivalent is options D. (-g - 3h)(-6) and E. -2(-3g + 9h)
What is factorization?Factorization is a process in which a given term is reduced to its lowest form by comparing common divisible number, or alphabet.
Considering the given expressions, that one that will be equivalent to 6g - 18h can be determined by;
i. 6g - 18h
factor out 6 to have;
6g - 18h = (g - 3h)6
= (-g - 3h)(-6)
ii. 6g - 18h
The common divisor is 2, so that;
6g - 18h = 2(3g - 9h)
minus sign can be factor out
2(3g - 9h) = -2(-3g + 9h)
So that on expansion, the initial expression in the question can be gotten.
Therefore, the expression that are equivalent are (-g - 3h)(-6) and -2(-3g + 9h)
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Order of operations with fractions and exponents
Evaluate the expression.
Do not round your answer.
2
3²
Stuck? Review related articles/videos or use a hint.
Report a problem
Step-by-step explanation:
you did not provide an expression. only fragments, I suspect.
I can give you the basic rules.
always remember the order of operations :
1. brackets
2. exponents
3. multiplications and divisions
4. additions and subtractions
a fraction is a division.
e.g. 2/3 = 2 divided by 3
e.g. (a/b)⁵ = a⁵/b⁵
(a×b)⁵ = a⁵×b⁵
e.g. a^-b = 1/(a^b)
e.g. a^(c/b) =
[tex] \sqrt[b]{ {a}^{c} } [/tex]
I think that is all about exponents and fractions.
The inverse of a relationship can be found by
switching the coordinates in each ordered pair. Complete the table for three
input and output values of y = x + 3 and its inverse. Then use the table to
write an equation of the inverse of y = x + 3.
y=x+3
Input (x)
Output (y)
Inverse of y=x+3
Input (x)
Output (y)
The equation of the inverse of y = x + 3 is y = x - 3.
What is inverse relationship?The theory used in this question is the concept of inverse relationships. In mathematics, an inverse relationship is a relationship where two variables are related in such a way that when one variable increases, the other decreases.
In this case, the relationship between x and y is represented by the equation y = x + 3.
To find the inverse of this equation, we need to switch the coordinates in each ordered pair, which is done by subtracting 3 from the output (y) for each ordered pair.
This gives us the equation y = x - 3, which is the inverse of y = x + 3.
y=x+3
Input (x) Output (y)
3 6
-1 2
5 8
Inverse of y=x+3
Input (x) Output (y)
6 3
2 -1
8 5
The equation of the inverse of y = x + 3 is y = x - 3.
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The air temperature of a mountain drops by 2 ℃ for every 500 m of elevation. If the air temperature is 26 ℃ at the base of the mountain, at what elevation will the air temperature be 16 ℃ ?
At the height of 2500 m, the temperature will be T = 16 ℃.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that air temperature of a mountain drops by 2 ℃ for every 500 m of elevation. If the air temperature is 26 ℃ at the base of the mountain, at what elevation will the air temperature be 16 ℃.
2 ℃ for every 500 m of elevation.
Then, for 1 m of elevation, it will change by (2/500) or (1/250) ℃
We can write the function as -
T{x} = 26 - {x/250}
Now, for T = 16 ℃, we can write -
26 - {x/250} = 16
26 - 16 = x/250
10 = x/250
x = 2500 m
Therefore, at the height of 2500 m, the temperature will be T = 16 ℃.
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35 less than a number m is -72
The required simplified value of the m is given as -37. as of the given information.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
According to the question, we have variable m, and 35 less than m is -72
m - 35 = -72
Add 35 on both sides
m = -72 + 35
m = -37
Thus, the required simplified value of the m is given as -37.
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In July the price of a holiday is £500.
In August the price increases by 25%.
In September the price drops to £500 again.
Work out the percentage decrease from the August price to the September price.
The percentage decrease from the August price to the September price = 20%
Here, In July the price of a holiday is £500.
And in August the price increases by 25%.
Let 'p' represents the price of a holiday.
First we need to find the value of the 25 percent of £500.
25% of £500
= 500 × (25/100)
= £125
so, the value of p would be,
p = £500 + 25% of £500
p = £500 + £125
p = £625
In September the price drops to £500 again.
i.e., p = 500
So, the decrease in price is: 625 - 500 = 125
Now we find the percentage decrease from the August price to the September price.
(125/625) × 100 = 20%
the percentage decrease in price = 20%
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Consider the quadratic function y = mx².
When a > 0, the graph
When a < 0, the graph
When a > 0, the graph opens upward
When a < 0, the graph opens downward
How to complete the statementsFrom the question, we have the following parameters that can be used in our computation:
The quadratic function y = mx²
The variable represents the leading coefficient
i.e. a = m
As a general rule:
Equations with negative leading coefficients open downwards, while other open upwards
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To predict the performance of her first period class on their next quiz, á teacher randomly selects eight students from the class and takes the mean of their scorés on the last quiz. Is this sample representative of the class's performance on the quiz? Explain your reasoning.
It's important to note that even if the sample is random, there's still a chance that the sample may not be representative of the population, this is known as sampling error.
What does reason mean?
The fundamental act of thinking about anything logically and sensibly is best described as reasoning.
It depends on how the teacher choose the class members. Because every student had an equal chance of being chosen, the sample, if the students were chosen at random, is likely to be indicative of the class' performance on the quiz. However, the sample would not be indicative of the class's performance on the quiz if the teacher arbitrarily chose the students, for instance, by selecting only the best or the worst performers.
In general, if a sample is large enough and random, it is thought to be representative of the population. The likelihood that the sample is representative of the population rises with greater sample sizes. Since only 8 students were chosen in this instance, it's possible that the results don't accurately reflect how the entire class did on the quiz.
The term "sampling error" refers to the possibility that a sample, even one drawn at random, may not be representative of the population as a whole.
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escribe two different ways to find the slope of a function and two different ways to find the y-intercept of a function
Question What is the radical form of each of the given expressions? Drag the answer into the box to match each expression. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The radical form for each expression is given as follows:
[tex]5^{\frac{2}{3}} = \sqrt[3]{5^2}[/tex][tex]5^{\frac{1}{2}} = \sqrt{5}[/tex][tex]3^{\frac{2}{5}} = \sqrt[5]{3^2}[/tex][tex]3^{\frac{5}{2}} = \sqrt{3^5}[/tex]How to obtain the radical form of each expression?The general format of the exponential expression is given as follows:
[tex]a^{\frac{n}{m}}[/tex]
To obtain the radical form, we have that:
a is the radicand.n is the exponent.m is the root.Hence the radical form of the exponential expression is given as follows:
[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]
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tara can develop 2 rolls of film in about 18 minutes. at this rate, how long will it take her to develop 8 rolls of film?
1 hour and 12 minutes is the time that will it take her to develop 8 rolls of film.
According to the question,
Tara develops 2 rolls of film in about 18 minutes.
Tara develops 1 roll of film in about = (18 ÷2) minutes
= 9 minutes (using division)
Tara develops 8 rolls of film in about = ( 8 × 9) minutes
= 72 minutes
we know that, 1 hour = 60minutes
Tara can develop 8 rolls of film in about = (72 ÷ 60)
= 1 hour 12 minutes
So, Tara can develop 8 rolls of film in about 1 hour and 12 minutes.
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For a set of data, r = 0.27. Which is true about the correlation of the variables?
• The variables have a strong positive correlation.
• The variables have a weak negative correlation.
The variables have no correlation.
O The variables have a weak positive correlation.
The sign of r is positive and there is a positive and weak correlation.
What is Statistics ?
In statistics, association is any statistical relationship, whether causal or not, between two random variables or bivariate data. One is independent and other is dependent variable.
In the broadest sense correlation is any statistical association, though in common usage it most often refers to how close two variables are to having a linear relationship with each other.
Examples are exercise and sickness are negatively correlated.
Study hours and marks are positively correlated
When correlation is nearer -1 or +1 there is a strong correlation. When correlation is nearer to 0 than to 1 or -1 we say that there is a negative correlation.
Hence, The sign of r is positive and there is a positive and weak correlation.
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(3x + 12 + 2x³ + x²)/(x + 2)
Answer: If your simplifying it's: 2x (power of 3) + x (power of 2) + 3x + 12x +2. Dividing would be 2x (power of 2) − 3x + 9 − 6/x+2. Have a nice day ;)
let , and be arithmetic progressions. if and , then what is ? let , and be arithmetic progressions. if and , then what is ?
An arithmetic progression (AP) is a sequence of numbers such that the difference between any two consecutive terms is always the same.
This common difference is called the common ratio of the arithmetic progression. The general form of an arithmetic progression is a, a + d, a + 2d, ..., where a is the first term and d is a common difference.
The nth term of an arithmetic progression can be found by using the formula: a_n = a + (n-1)d, where a is the first term, d is a common difference, and n is the position of the term in the progression.
If a, b, and c are in arithmetic progression, then the common difference is (b-a) = (c-b).
If d, e, and f are also in arithmetic progression, then the common difference is (e-d) = (f-e).
If a, d are the same and b, e are the same, then c = f.
so the common difference between both progressions is the same, and c = f
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let , and be arithmetic progressions. if and , then what is ? let , and be arithmetic progressions. if and , then what is the common difference
Frank was trying to simplify the following expression 43+3. Sarah said to add 3 to both the top and the bottom of the fraction. Gwen said to
just add three to the top of the fraction. Which person is correct? What is the value of the expression?
cor
correct. The value of the expression is
V
Gwen is correct. The expression 43 + 3 can be written as 43/1 + 3/1
What is an Algebraic Expression?In most cases, something is said to be equivalent if two of them are the same. Similar to this, analogous expressions in mathematics are those that, despite their differences in appearance, have the same meaning. The two expressions, however, produce the identical outcome when the values are inserted into them.
Gwen is correct. The expression 43 + 3 can be written as 43/1 + 3/1. To simplify, you can add the numerators (43 + 3) and keep the denominator the same (1). So the simplified expression is 46/1, which is equal to 46.
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