Jade wants to verify that the expression 5(3x-6) is equivalent to 15x - 30. She substitutes 2 into each expression and
evaluates each one. How will she know if 5(3x-6) is equivalent to 15x - 30?
They are equivalent if the two values are the same.
They are equivalent if the value for 5(3x + 6) is greater.
They are equivalent if the value for 15x + 30 is greater.
O They are equivalent if one value is negative and the other value is positive.
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Answers
5(3x-6) is equivalent to 15x - 30 if they are equivalent if the two values are the same.
What is expression?An expression is a set of terms combined using the operations +, – , x or , /.
Given expression:
5(3x-6) is equivalent to 15x - 30.
If we put x=2 in both expression, we get finite value.
To check both the expression are equal or not we have to solve by putting the value.
So,
They are equivalent if the two values are the same otherwise not.
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Related Questions
the given set is a basis for a subspace w. use the gram-schmidt process to produce an orthogonal basis for w.
Answers
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1] is the orthogonal basis for w using Gram-Schmidt process.
Given,
The set;
x₁ = [1 -4 0 1]
x₂ = [7 -7 -6 1]
We have to produce the orthogonal basis for w using the Gram-Schmidt process;
Here,
y₁ = x₁ = [1 -4 0 1]
Now,
Solve for y₂
y₂ = x₂ - [x₂y₁ / y₁y₁] y₁
That is,
y₂ = [7 -7 -6 1] - ( [7 -7 -6 1] [1 -4 0 1] / [1 -4 0 1] [1 -4 0 1] ) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 36/18 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 2 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - [2 8 0 2]
y₂ = [5 1 -6 -1]
That is,
The orthogonal basis for w using Gram-Schmidt process is,
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1]
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Question 2 > Find the rate of change of total profit, in dollars, with respect to time where R(x) = 8x and dx dt C(x) = 0.01x² +0.6x +80, when x = Submit Question ✓ Select an answer dollars per day
Answers
The rate of change of total profit, in dollars, with respect to time when x = 2000 is -52.9 dollars per day.
We have R(x) = 8x and dx/dt, C(x) = 0.01x² + 0.6x + 80, when x = 2000So,Total Profit, P(x) = R(x) - C(x)
From R(x), we get that,R(x) = 8x∴ R'(x) = 8d/dx(x) = 8Also,C(x) = 0.01x² + 0.6x + 80∴ C'(x) = d/dx(0.01x² + 0.6x + 80) = 0.02x + 0.6
Given that, when x = 2000, dx/dt = 150 Hence, Rate of change of total profit, (dP/dt)x=2000 = R'(x) - C'(x) (dx/dt)
Putting the respective values,R'(x) = 8C'(x) = 0.02x + 0.6dx/dt = 150 When x = 2000
So,Rate of change of total profit, (dP/dt)x=2000= R'(x) - C'(x) (dx/dt)= 8 - (0.02 × 2000 + 0.6) × 150= 8 - (40 + 0.6) × 150= 8 - 60.9 = -52.9
Thus, the rate of change of total profit, in dollars, with respect to time when x = 2000 is -52.9 dollars per day.
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What does 1.03 estimate to math
Answers
Answer:
provide context
Step-by-step explanation:
construct and interpret a 95% confidence interval for the true mean difference. does the interval provide convincing evidence of a difference in the mean price per gallon of diesel fuel and regular unleaded gasoline?
Answers
The 95% confidence interval for the mean difference in price per gallon of diesel fuel and regular unleaded gasoline is approximately (-0.209, 0.369). The interval includes zero, indicating no convincing evidence of a significant difference between the two fuel types.
To construct a 95% confidence interval for the true mean difference in the price per gallon of diesel fuel and regular unleaded gasoline, we can use the provided data. The sample mean difference is calculated by taking the average of the observed differences, and the standard error of the mean difference is calculated using the formula mentioned earlier.
From the given data, the sample mean difference is 0.08 (calculated as the average of the observed differences), and the standard error of the mean difference is 0.135.
To calculate the confidence interval, we need the critical value corresponding to a 95% confidence level. Since the sample size is not provided, we'll assume a reasonably large sample size and use the critical value of 1.96 for a two-tailed 95% confidence interval.
Using the formula for the confidence interval
Confidence Interval = D ± (t * SE(D))
Confidence Interval = 0.08 ± (1.96 * 0.135)
Calculating the confidence interval
Lower bound = 0.08 - (1.96 * 0.135) ≈ -0.209
Upper bound = 0.08 + (1.96 * 0.135) ≈ 0.369
The 95% confidence interval for the true mean difference in the price per gallon of diesel fuel and regular unleaded gasoline is approximately (-0.209, 0.369).
Since the confidence interval contains both positive and negative values, including zero, we can conclude that there is not convincing evidence of a statistically significant difference in the mean price per gallon of diesel fuel and regular unleaded gasoline.
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--The given question is incomplete, the complete question is given below " Construct and interpret a 95% confidence interval for the true mean difference. Does the interval provide convincing evidence of a difference in the mean price per gallon of diesel fuel and regular unleaded gasoline? OH OH OH OH OH OH OH IN 0 IN IN Regular Unleaded 2.27 2.25 2.25 2.25 2.25 2.29 2.07 2.15 2.14 2.07 2.07 2.14 2.29 2.25 2.29 2.25 2.25 2.19 Diesel 2.15 2.35 1.85 2.47 2.45 2.47 2.28 2.28 2.28 2.29 2.28 2.28 2.26 2.24 2.26 2.27 2.25 2.39 Difference -0.12 0.1 -0.4 0.22 0.2 0.18 0.21 0.13 0.14 0.22 0.21 0.14 -0.03 -0.01 -0.03 0.02 0 0.2 2 IN IN IN HE IN IN IN 3 IN IL IN IN IN 0.14 0.22 IN IN IN IN 0.21 0.14 -0.03 -0.01 -0.03 0.02 IN IN IL 2.14 2.07 2.07 2.14 2.29 2.25 2.29 2.25 2.25 2.19 2.29 2.29 1.99 1.99 1.99 1.99 1.99 1.99 2.28 2.29 2.28 2.28 2.26 2.24 2.26 2.27 2.25 2.39 2.35 2.35 2.41 2.45 2.38 2.47 2.39 2.47 0 0.2 IL IL IL 0.06 0.06 0.42 0.46 0.39 0.48 0.4 0.48 IL IL IL IL IL IL IL ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ 2.25 2.19 2.35 2.19 2.19 2.17 2.17 2.17 2.17 2.19 2.19 2.06 2.15 2.04 2.04 1.89 1.87 1.99 2.35 2.38 2.39 2.06 2.06 2.06 2.06 2.07 2.09 2.06 2.06 2.13 2.13 1.99 1.95 2.05 2.25 2.07 0.1 0.19 0.04 -0.13 -0.13 -0.11 -0.11 -0.1 -0.08 -0.13 -0.13 0.07 -0.02 -0.05 -0.09 0.16 0.38 0.08 MO MO MO MO MO MO MO KS KS KS KS 1.95 1.99 1.99 1.99 1.91 1.87 1.99 2.05 2.05 1.97 1.88 1.87 1.89 1.89 1.99 2.25 1.89 2.09 2.18 2.21 2.07 2.09 2.15 2.18 2.05 2.04 2.04 2.34 2.35 2.23 2.35 2.16 2.15 2.18 2.04 2.27 0.23 0.22 0.08 0.1 0.24 0.31 0.06 -0.01 -0.01 0.37 0.47 0.36 0.46 0.27 0.16 -0.07 0.15 0.18 KS KS KS KS KS KS KS KS KS KS KS KS KS KS KS KS CO CO СО CO CO CO CO СО Co 1.96 1.99 2.09 2.11 2.09 2.09 1.93 1.93 1.97 2.14 2.21 2.05 2.05 2.15 2.05 2.19 2.09 2.07 2.15 2.33 2.23 2.19 2.29 2.34 2.24 2.39 2.15 2.18 2.18 2.37 2.35 2.28 2.09 2.09 2.35 1.99 0.19 0.34 0.14 0.08 0.2. 0.25 0.31 0.46 0.18 0.04 -0.03 0.32 0.3 0.13 0.04 -0.1 0.26 0.08 "--
A floor plan of Tommy’s playroom and closet is shown below. The height of the playroom is 8 feet. The height of the closet is 6 feet. What is the total volume of the playroom and the closet
Answers
The volume of the object is 6,912 in³. This was found by using the formula for the volume of a rectangular prism, which was based on the object’s length, width, and height.
What is volume?Volume is the measure of the amount of space an object takes up, typically expressed in three dimensions (length, width, and height). It is an important concept in mathematics, physics, engineering, and other sciences. Volume can also be expressed in terms of other units, such as liters, gallons, or cubic feet. Volume is a fundamental property of matter and can be calculated by multiplying the length, width, and height of an object together.
The volume of the object is 6,912 in³. To calculate this, the following formula was used: V = lwh. This is the formula for the volume of a rectangular prism, which the object most closely resembles. The formula was used to multiply the length, width, and height of the object (2 ft, 12 ft, 8 ft, 8 ft, and 7 ft, respectively). This yielded a volume of 6,912 in³.
In conclusion, the volume of the object is 6,912 in³. This was found by using the formula for the volume of a rectangular prism, which was based on the object’s length, width, and height.
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The total volume of Tommy's playroom and closet is 1008 cubic feet.
To find the total volume of the playroom and closet, we need to first find the volume of each separately and then add them together.
Volume of playroom:
The playroom is a rectangular prism, so we can use the formula:
Volume = length x width x height
From the floor plan, we can see that the length is 12 feet and the width is 10 feet. The height is given as 8 feet.
Volume of playroom = 12 x 10 x 8 = 960 cubic feet
Volume of closet:
The closet is also a rectangular prism, with a height of 6 feet. From the floor plan, we can see that the length is 2 feet and the width is 4 feet.
Volume of closet = 2 x 4 x 6 = 48 cubic feet
Total volume:
To find the total volume, we add the volume of the playroom and the closet:
Total volume = 960 + 48 = 1008 cubic feet
Therefore, the total volume of Tommy's playroom and closet is 1008 cubic feet.
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For the following matrix A, find A^-1 if it exists.
Answers
Given the matrix A :
\(A=\begin{bmatrix}{0} & {0} & {1} \\ {1} & {0} & {0} \\ {0} & {1} & {0}\end{bmatrix}\)The determinant of the matrix will be =
\(1\cdot(1\cdot1-0)=1\)Now, we will find the transpose of the matrix :
\(A^T=\begin{bmatrix}{0} & {1} & {0} \\ {0} & {0} & {1} \\ {1} & {0} & {0}\end{bmatrix}\)Then, find the elements of the inverse :
\(\text{adj(A)}=\begin{bmatrix}{0} & {1} & {0} \\ {0} & {0} & {1} \\ {1} & {0} & {0}\end{bmatrix}\)So, the inverse will be :
\(A^{-1}=\frac{adj(A)}{\det (A)}=\begin{bmatrix}{0} & {1} & {0} \\ {0} & {0} & {1} \\ {1} & {0} & {0}\end{bmatrix}\)which set of ordered pairs represents y as a function of x ?
Answers
Answer:
the second option is a function
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
PLEASE ANSWER ASAP !!!!
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Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make
the same amount of wages, y, by working the same number of hours, x, in one week?
O Yes, because the slopes of the equations are different so the system of equations will have one solution.
No, because the slopes of the equations are different so the system of equations will have no solutions.
O Yes, because the slopes of the equations are the same so the system of equations will have infinitely many solutions.
No, because the slopes of the equations are the same so the system of equations will have no solutions.
Answers
Answer:
first option
They will make the same amount in week 25
Step-by-step explanation:
We can conclude that Y=390⋅3X (you can select all the answers that apply):
the slope is positive, ad it is equal to 3
When X=0,Y=390
the relation between X and Y is horizontal
When Y=0,X=130
The slope is -3
the relation between X tind Y is vertical
No answer text provided.
As X goes up Y goes down (downward sloping or negative relationship between X and Y )
Answers
The slope is positive and equal to 3, there is a positive relationship between X and Y. The remaining statements regarding a horizontal relation, a negative slope, or a vertical relation between X and Y are incorrect.
Based on the given information, we can conclude the following:
1. The slope is positive, and it is equal to 3: The coefficient of X in the equation Y = 390 * 3X is 3, indicating a positive relationship between X and Y. For every unit increase in X, Y increases by 3 units.
2. When X = 0, Y = 390: When X is zero, the equation becomes Y = 390 * 3 * 0 = 0. Therefore, when X is zero, Y is also zero.
3. The relation between X and Y is horizontal: The statement "the relation between X and Y is horizontal" is incorrect. The given equation Y = 390 * 3X implies a linear relationship between X and Y with a positive slope, meaning that as X increases, Y also increases.
4. When Y = 0, X = 130: To find the value of X when Y is zero, we can rearrange the equation Y = 390 * 3X as 3X = 0. Dividing both sides by 3, we get X = 0. Therefore, when Y is zero, X is also zero, not 130 as stated.
5. The slope is -3: The statement "the slope is -3" is incorrect. In the given equation Y = 390 * 3X, the slope is positive and equal to 3, as mentioned earlier.
6. The relation between X and Y is vertical: The statement "the relation between X and Y is vertical" is incorrect. A vertical relationship between X and Y would imply that there is no change in Y with respect to changes in X, which contradicts the given equation that shows a positive slope of 3.
7. As X goes up, Y goes down (downward sloping or negative relationship between X and Y): This statement is incorrect. The equation Y = 390 * 3X indicates a positive relationship between X and Y, meaning that as X increases, Y also increases.
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Which of the following factors does NOT control the stability of a slope?
the angle of repose for intact bedrock
whether the slope is rock or soil
the amount of water in the soil
the orientation of fractures, cleavage, and bedding
Answers
The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.
Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.
The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.
To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.
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5. What is the equation of the line that goes through the point(9, 2) with a
y-intercept of 5 ?
Answers
The y-intercept is the point on a graph where a line intersects the y-axis. The corresponding x-coordinate is always 0.
How to find the solution ?These are the two approaches for determining a line's equation given a point and its slope: Plug the slope and the (x, y) point values into y = mx + b, then solve for b using the substitution method. Create the equation y = mx + b using the m provided in the problem and the b that was just solved for.
Therefore,
\(y=\frac{10}{3} x-2\)
Notice that they are giving you two points on the plane that the line goes through:
1) The point (9,2), and
2) the point (0,5) which is in fact the intersection of the line with the y axis.
So we use them to calculate first the slope of the line with the formula:
Slope = y2-y1/x2-x1
Slope = 9-(2)/5-0
Slope = 7/5
Now that we know the slope, we can use it in the general "slope-intercept" form of a line and at the same time using the fact that we know the line's y-intercept (5):
y= mx+b
y = 7/5x+(5)
y = 7/5x+5
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1. (6 pts) consider the raster plot and histogram shown below to answer the questions. *i. is it more likely that the diagram corresponds to the trial at t 3 or to the trial at t 30 . why?
Answers
Answer:answer is i got it right on thrm test
Step-by-step explanation:
Pls help quickly i will mark u brainliest
Answers
Answer:
What u need help on
Step-by-step explanation:
Nothing is here hello.
Algebra 2
The first one please
Answers
The co-terminal angle to 5π/6 in the unit circle is C. 17π/6
What are co-terminal angles in a unit circle?Co-terminal angles in a unit circle are angles that share the same terminal point
Given the angle 5π/6, we desire to find the angle that shares the same terminal point in the unit circle. We proceed as follows.
We know that x = 5π/6 + 2π
Taking the L.C.M which is 6, we have that
x = (12π + 5π)/6
x = 17π/6
So, the angle is C. 17π/6
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A scale that allows us to rank individuals or objects, but not to say anything about the meaning of the differences between the ranks, is a(n)?
Answers
A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
What is an ordinal scale?An ordinal scale is one that allows us to rank individuals or objects without saying anything about the significance of the differences between the ranks. The ordinal scale is the second level of measurement that reports data ranking and ordering without determining the degree of variation between them. Cases in the same class are regarded as equivalent. Movie ratings, political affiliation, military rank, and other variables that use ordinal scales are examples."Movie ratings" is an example of an ordinal scale. Students in a class, for example, could rate a movie using the scale below.Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
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Can someone please please help mke i was suppose to finnish this at least 4 weeks ago please can someone answer these 3 question for at leat 150 or 200 points.
Answers
25x6=150
150x2=300
Good luck hope this helps
:)))
Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared?
Answers
Answer:
\(\dfrac{1}{6561}\)
Step-by-step explanation:
Given the expression \([(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}\), Using the laws of indices to simplify the expression. The following laws will be applicable;
\(a^m*a^n = a^{m+n}\\(a^m)^n = a^{mn}\\\)
\(a^{-m} = 1/a^m\)
Given \([(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}\)
open the parenthesis
\(= (2^{-2})^{-3}(3^{4})^{-3}* (2^{-3})^2(3^2)^2\\\\= 2^{-2*-3}* 3^{4*-3} * 2^{-3*2} * 3^{2*2}\\\\= 2^6 * 3^{-12} * 2^{-6} * 3^4\\\\collecting \ like \ terms\\\\= 2^6 * 2^{-6} * 3^{-12} * 3^4\\\\= 2^{6-6} * 3^{-12+4}\\\\= 2^0 * 3^{-8}\\\\= 1 * \frac{1}{3^8}\\ \\= \frac{1}{6561}\)
determine whether each relation is a function if so provide the domain and range
Answers
Answers:
Function? Yes Domain = {1, 5, 10, 11, 14}Range = {6, 50, 150, 176, 256}=============================================
Explanation:
x = width
y = area
x is the input while y is the output.
We have a function because each input leads to exactly one output only. We don't have repeated x values.
The domain is the set of possible inputs. So we simply list the set of x values given in the table to get the domain to be {1,5,10,11,14}
The range is a similar story, but we list the possible y outputs getting {6,50,150,176,256}.
The curly braces indicate we have a set of values.
Forces 1 N, 2 N and 3 N act at a point in direction parallel to the side of an equilateral AB triangle taken in order. Find their resultant. ABCD is a square Forces 3 34 and 21 newtons act at a point in directions AB RA
Answers
Answer:
1N2into 3to 4
Step-by-step explanation:
gamitin ang utak
Determine the equation of the circle with center
(
9
,
−
5
)
(9,−5) containing the point
(
10
,
2
)
(10,2).
Answers
The equation of the circle with center (9,-5) and passing through (10,2) is \((x - 9)^2 + (y + 5)^2\) = 50.
To decide the condition of a circle with focus (9,- 5) and going through the point (10,2), we can utilize the standard condition of a circle:
\((x - h)^2 + (y - k)^2 = r^2\)
where (h,k) is the focal point of the circle, and r is the span.
Subbing the qualities we know, we have:
\((x - 9)^2 + (y + 5)^2 = r^2\)
To find the worth of r, we can utilize the way that the circle goes through (10,2). Subbing these qualities, we get:
\((10 - 9)^2 + (2 + 5)^2 = r^2\)
Improving on this articulation, we get:
\(r^2 = 50\)
Subbing this worth back into our situation, we get:
\((x - 9)^2 + (y + 5)^2 = 50\)
To track down the situation of a circle with focus (9,- 5) and going through the point (10,2), we utilize the standard condition of a circle. We substitute the qualities we know and utilize the way that the circle goes through (10,2) to track down the worth of the range. Subbing this worth back into our situation, we acquire the condition of the circle, \((x - 9)^2 + (y + 5)^2 = 50.\)
Thusly, the condition of the circle with focus (9,- 5) and going through (10,2) is \((x - 9)^2 + (y + 5)^2 = 50.\)
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Which answer choice shows 4 + 0.3 + 0.09 written in standard form?
A. 43.9
B. 4.39
C. 0.439
D. 0.0439
Answers
Solution:
A few changes were made:
4 as 4.00. 0.3 as 0.30New equation:
4 + 0.3 + 0.09 = 4.00 + 0.30 + 0.09Solving the equation:
4.00 + 0.30 + 0.09=> 4.39 (Refer to image for work)Correct option is B.
Answer:
B)
Step-by-step explanation:
4 + 0.3 + 0.09 = 4.39
standard form is written in the form of \(a \times 10^n\), where \(a\) is a number bigger than or equal to 1 and less than 10.
Therefore, 4.39 written in standard form is \(\mathsf{4.39 \times 10^0}\)
what is the answer for this question much appreciated if you attempt to help me
Answers
Answer:
The surface area of the triangular prism is \(624cm^{2}\)
Step-by-step explanation:
First find the area of the triangle.
The formula of the area of triangle is: \(\frac{1}{2} * h*b\)
h=height
b=base or width.
\(\frac{1}{2}*16*12\)
But, since we have two triangles we can skip the \(\frac{1}{2}\) because \(2*\frac{1}{2} =1\).
\(16*12=192\), that is the area of the two triangles combined.
Now let's find the area of the rectangles. I'll start with the diagonal one.
The formula of the area of the rectangle is: \(h*b\).
\(20*9=180\).
The next rectangle.
\(9*16=144\)
The final rectangle.
\(12*9=108\)
Now combine all the areas to find the surface area of the triangular prism.
\(192+180+144+108=624\)
The surface area of the triangular prism is \(624cm^{2}\)
Hope this helps!
If not, I am sorry.
Rajesh gave ½ of his provident fund to his wife, ¼ to his son and the remainder was to be divided equally between his two brothers so that each brother got Rs 10000. What was the amount of provident fund ?
Answers
from the 1/2, 1/4 went to the son so 1/4 was left
1/4 was divided to two brothers which are 1/8 for each brother --> 1/8 = 10000
therefore 10000 *8 = 80000 = 100% of the fund
This is the number 80 thousand
==========================================================
Explanation:
1/2, aka 2/4, of the original fund was given to his wife and 1/4 was given to his son. That totals 3/4 since 2/4+1/4 = (2+1)/4 = 3/4.
In short, 3/4 of the fund is distributed between the wife and son. That leaves 1/4 of the fund for the two brothers to share equally.
Imagine a cake cut into quarters. Then cut each slice in half to get eighths, i.e. there are 8 equal slices. This means each brother gets 1/8 of the fund.
Since each brother got Rs 10000, this must mean the original fund is worth 8*10000 = 80000
Taking 1/8 of Rs 80000 will get us Rs 10000 for each brother.
----------------------------------
Checking the answer:
original fund amount = 80000
1/2 of 80000 = 40000 is the amount the wife gets
1/4 of 80000 = 20000 is the amount the son gets
That totals 40000+20000 = 60000 leaving 80000-60000 = 20000 leftover for the two brothers to share. Cut that 20 thousand figure in half to arrive at Rs 10000 for each brother. These steps help confirm the answer.
----------------------------------
Another method using algebra:
x = original amount of the fund
W = x/2 = 2x/4 = half of the fund = amount wife gets
S = x/4 = quarter of the fund = amount the son gets
W+S = (2x/4) + (x/4) = (2x+x)/4 = 3x/4
W+S represents the sum of the wife's and son's amounts.
We'll subtract this from the original amount x to find out what's left
x - (W+S) = x - (3x/4) = (4x/4) - (3x/4) = (4x-3x)/4 = x/4
This shows that 1/4 of the fund is left over after distributing to the wife and son.
The amount x/4 is then cut in half to get x/8 to represent the amount each brother gets. We're told that amount is Rs 10000
So,
x/8 = 10000
x = 8*10000
x = 80000
The original fund is worth Rs 80000
TRUE/FALSE if a thumb is a finger, then three gloves and three shoes normally hold thirty-five fingers and toes.
Answers
Answer: False
(5 x 3) + (5 x 3) = 30
Hazhair bought 2 DVDs for $12.95 each. He spent $25 on magazines. Did he spend more on DVDs or magazines? How much more? Write equations to show your work.
Answers
Answer
5.9
12.95*2=25.9
25.9-20
I need help on finding the next terms on this pls help
Answers
Answer: -5, -7, and -9
Step-by-step explanation:
checking the pattern they are subtracting by two by the next term, so subtracting 2 from -3 would be -5 and so on.
Shasta babysit for 4 and half hour and is paid how dose she get per hour and how much will she get in 8 hours
Answers
Answer:
how much does she get each hour
Step-by-step explanation:
The number of watermelons in a truck are all weighed on a scale. The scale rounds the weight of every watermelon to the nearest pound. The number of pounds read off the scale for each watermelon is called its measured weight. The domain for each of the following relations below is the set of watermelons on the truck. For each relation, indicate whether the relation is reflexive, anti reflexive, or neither
symmetric, anti symmetric, or neither
transitive or not transitive
justify your answer
a) watermelon x is related to watermelon y if the measured weight of watermelon x is at least the measured weight of watermelon y. No two watermelons have the same measured weight. b) watermelon x is related to watermelon y if the measured weight of watermelon x is at least the measured weight of watermelon y. All watermelons have exactly the same measured weight
Answers
a) The relation is reflexive, symmetric, and transitive.
b) The relation is not reflexive, symmetric, or transitive.
a) For each watermelon x, x is related to x because the measured weight of x is at least the measured weight of x. Therefore, the relation is reflexive.
For each watermelon x and y, if x is related to y (meaning the measured weight of x is at least the measured weight of y), then y is also related to x (meaning the measured weight of y is at least the measured weight of x). Therefore, the relation is symmetric.
For each watermelon x, y, and z, if x is related to y (meaning the measured weight of x is at least the measured weight of y) and y is related to z (meaning the measured weight of y is at least the measured weight of z), then x is related to z (meaning the measured weight of x is at least the measured weight of z). Therefore, the relation is transitive.
b) For each watermelon x, x is not related to x because no two watermelons have the same measured weight. Therefore, the relation is not reflexive.
For each watermelon x and y, if x is related to y (meaning the measured weight of x is at least the measured weight of y), then y is not related to x (meaning the measured weight of y is not at least the measured weight of x).
Therefore, the relation is not symmetric. For each watermelon x, y, and z, if x is related to y (meaning the measured weight of x is at least the measured weight of y) and y is related to z (meaning the measured weight of y is at least the measured weight of z), then x is not related to z (meaning the measured weight of x is not at least the measured weight of z).
Therefore, the relation is not transitive.
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Elizabeth can type 700 words in 14 minutes. How many words can she type in 1 minute?
Answers
Answer:
50 words per minuite
Step-by-step explanation:
there is 14 so is you do 50 x 14 you get 700