month and a utility bill of $250 a month? 8. there are 52 weeks in a year, and you work 40 hours a week how much do you need to make an hour to make $60,000 a year?
We need to make approximately $28.85 an hour to make $60,000 a year, working 40 hours a week for 52 weeks.
To determine how much you need to make an hour to earn $60,000 a year, follow these steps:
1. Calculate the total hours worked in a year:
There are 52 weeks in a year, and you work 40 hours a week.
Multiply these values to find the total hours worked annually :
52 weeks * 40 hours/week = 2080 hours.
2. Divide the desired annual salary by the total hours worked:
To make $60,000 a year, divide this amount by the total hours worked (2080 hours):
$60,000 / 2080 hours = $28.85/hour.
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Here are two closed containers and four balls just fit in each container.
0000 30
Container A
Container B
Each ball has a diameter of 60 mm.
Which container has the smaller surface area? A or B?
You must show your working (using mm).
Show your working
+
Curved surface area
of a cylinder is 2+rh
Both containers have the same surface area.
How to determine Which container has the smaller surface areaTo determine which container has the smaller surface area, let's calculate the surface area of each container.
Container A:
Since each ball has a diameter of 60 mm, the radius (r) of each ball is 30 mm (half of the diameter).
Container A has four balls, so the total height of the container (h) is 4 times the radius of a ball, which is 120 mm.
The curved surface area (C.A.) of a cylinder is given by the formula: C.A. = 2πrh.
For Container A:
C.A. = 2π(30 mm)(120 mm)
C.A. = 7200π mm²
Container B:
Container B also has four balls with a diameter of 60 mm, so the radius (r) and height (h) are the same as in Container A.
For Container B:
C.A. = 2π(30 mm)(120 mm)
C.A. = 7200π mm²
Both Container A and Container B have the same curved surface area, which is 7200π mm².
Therefore, both containers have the same surface area.
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A cylindrical gasoline tank 4 feet in diameter and 5 feet long is carried on the back of a truck and used to fuel tractors. The axis of the tank is horizontal. The opening on the tractor tank is 5 feet above the top of the tank in the truck. Find the work done in pumping the entire contents of the fuel tank into the tractor
To find the work done in pumping the entire contents of the fuel tank into the tractor, we need to calculate the potential energy difference between the initial position of the gasoline in the truck's tank and its final position in the tractor's tank.
Given:
- Diameter of the cylindrical gasoline tank: 4 feet
- Length of the cylindrical gasoline tank: 5 feet
- Opening on the tractor tank is 5 feet above the top of the tank in the truck
First, let's calculate the volume of the cylindrical gasoline tank using the formula for the volume of a cylinder:
Volume = π * (radius^2) * height
The radius of the tank is half the diameter, so the radius is 4 feet / 2 = 2 feet.
Volume = π * (2^2) * 5 = 20π cubic feet
Since the entire contents of the fuel tank need to be pumped, the volume of gasoline to be pumped is 20π cubic feet.
To calculate the work done in pumping the gasoline, we need to find the vertical height through which the gasoline is lifted. This height is the sum of the height of the tank and the distance between the top of the tank and the opening on the tractor tank.
Height = 5 feet + 5 feet = 10 feet
The work done in pumping the gasoline can be calculated using the formula:
Work = Force × Distance
In this case, the force is the weight of the gasoline, and the distance is the height through which it is lifted. To calculate the weight of the gasoline, we need to know the density of gasoline. The density of gasoline can vary, but an average value is around 6.3 pounds per gallon.
Let's convert the volume of gasoline from cubic feet to gallons:
1 cubic foot = 7.48052 gallons (approximately)
Volume in gallons = 20π * 7.48052 ≈ 149.61π gallons
Weight of gasoline = Volume in gallons * Density of gasoline
Assuming the density of gasoline as 6.3 pounds per gallon:
Weight of gasoline = 149.61π * 6.3 ≈ 940.06π pounds
Finally, we can calculate the work done:
Work = Weight of gasoline * Height
Work = 940.06π * 10 ≈ 9400.6π foot-pounds
Therefore, the work done in pumping the entire contents of the fuel tank into the tractor is approximately 9400.6π foot-pounds.
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Write the fraction as a decimal.
Round to the nearest thousandth.
7
22
Answer:
0.318
Step-by-step explanation:
Answer:
0.31818181818182 as a decimal
0.318 rounded to the nearest thousandth
Step-by-step explanation:
Help please I need this answer very quick will be very appreciated
Answer:rotational
Step-by-step explanation:
it would not be a line because a line is a line and other make no sense
the variance inflation factor (vif) is another measure that can detect a high correlation between three or more predictor variables even if no pair of predictor variables has a particularly high correlation. what is the smallest possible value of vif? (absence of multicollinearity).
Variance inflation factor can have a value as low as one (absence of multicollinearity). A VIF number greater than 5 or 10 generally denotes collinearity that is problematic.
The variance of bj is not inflated at all if the VIF is 1, which indicates that there is no association between the jth predictor and the other predictor variables.
VIF equal to 1 signifies that there is no correlation between the variables. A VIF of 1 to 5 indicates a moderate correlation between the variables. Variables are highly linked when the VIF is greater than correlated2.
VIF = 1.0 if all independent variables are orthogonal to one another. VIF = infinity if there is perfect correlation.
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Please help me with my question!!
Answer:
B,C
Step-by-step explanation:
The sum of B is 1
The sum of C is -1/2
Let's try each option.
Option A:
-3 + 5 + (-1) = 2 + (-1) = 1
FALSE
Option B:
5 + (-8) + 4 = -3 + 4 = 1
TRUE
Option C:
-19/2 + 9 = -9.5 + 9 = -0.5
TRUE
Option D:
-17 + 36/2 = -17 + 18 = -1
FALSE
So, the correct answers are B and C
Best of Luck!
A TV program is believed to cause violence among teenagers. You want to test this belief in a scientific manner, you start by obtaining a random sample of 100 teens from the local high school. Each teen is run in both the experimental and control condition. Experimental Condition: Watch TV program for a period of 3 months and record number of violent acts within those 3 months. Control Condition: Do not watch TV program for a period of 3 months and record number of violent acts within those 3 months. What are the null and alternative hypotheses stated mathematically
The null hypothesis and alternative hypothesis are an integral part of any hypothesis testing process. Hypothesis testing is a statistical technique for evaluating claims about a population parameter, based on evidence collected from a random sample of that population.
The null hypothesis (H0) is a statement that there is no significant difference between two sets of data, or that a specific parameter is not significantly different from its population value.
The alternative hypothesis (Ha), also known as the research hypothesis, is a statement that contradicts the null hypothesis. It is the hypothesis that the researcher wants to support with their evidence.
Given the above, the null hypothesis and alternative hypotheses stated mathematically for the scenario provided are: Null Hypothesis: There is no significant difference in the number of violent acts between the experimental and control groups.
Alternative Hypothesis: There is a significant difference in the number of violent acts between the experimental and control groups.
The above null and alternative hypotheses could be used to perform a statistical hypothesis test such as a t-test to determine whether the evidence supports the alternative hypothesis or not.
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80% of. games is 16 games.
20
1) Let's find out how much 80% is by writing an equation
80% = 0.8 The same thing 80/100 = 0.8
2) Let's write, an x for the number we want to find out
0.8x = 16 Divide both sides by 0.8
x =16/0.8
x =20
3) Hence, 80% of 20 games is 16 games
PLEASE PLEASE PLEASEEEE HELP!!!!
offering 40 points!!!!
please dont troll I acctualy need help
Gregg's father gave him an amount of money to open a savings account. Gregg then deposits the same number of dollars into the savings account each week.
The equation y = 50 + 12x can be used to model this situation where y represents the total balance in the account and x represents the number of weeks.
a. Determine the slope of the line that models this relationship. The slope of the line is ___The y-intercept is ____
b. Determine the y-intercept of the line that models this relationship.
c. What is the number of dollars Gregg saves each week? $.___
d. What is the amount of money Gregg's father gave him? $_____.
e. How much money will Gregg have saved in 12 weeks? $.
Justify your work by evaluating an expression. weeks
f. How many weeks will it take for Gregg to save $230?
Justify your work by solving an equation.
Answer:
Slope: 12/1
Y intercept: 50
Gregg saves 12 $ each week
Gregg's Father gave him 50$
In 12 weeks Gregg would have 194$
Y=50+12(12)
Y= 50+144
y= 194$
230=50+12x
-50 . -50
180=12x
180/12 . 12/12
15=x
15 weeks to get 230$
if the pile contains only 25 quarters and only 40 dimes but at least 50 of each other kind of coin, how many collections of 50 coins can be chosen? collections
if the pile contains only 25 quarters and only 40 dimes but at least 50 of each other kind of coin, then 20,281 collections of 50 coins can be chosen.
what are quarters?
A quarter fraction is the division of one whole into four equal parts, where one represents the referred-to part and four represents the number of parts into which the whole has been divided. It is written as 14 in numerical form.Given that:
25 quarters and only 40 dimes
No. of. Ways with at least 26 quarters and 41 dimes.
26 + 41 = 67 coins, but we have only 50 coins.
There are 0 ways to select at least 26 quarters and 41 dimes.
\(A_{1}\) = at least 26 quarters
\(A_{2}\) = at least 41 dimes
Using inclusion / exclusion rule for the two sets:
N(\(A_{1} U A_{2}\)) = N ( \(A_{1}\)) + N ( \(A_{2}\))- N (\(A_{1}\) ∩ \(A_{2\))
= 2925 + 220 - 0
= 3145
Therefore, no . of . ways with at most 25 quarters and at most 40 dimes are
= 23426 - 3145
= 20,281 ways
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I need help on this equastion.
Answer:
x = 10
Step-by-step explanation:
\(3 + \frac{x}{5} = 5 \\ = > \frac{15}{5} + \frac{x}{5} = 5 \\ = > \frac{15 + x}{5} = 5 \\ = > 15 + x = 5 \times 5 \\ = > 15 + x = 25 \\ = > x = 25 - 15 \\ = > x = 10\)
the following code segment is intended to set max equal to the maximum value among the integer variables x, y, and z. the code segment does not work as intended in all cases.
we do not have the code segment, we cannot identify which of the cases above will cause the code segment to not work as intended.
What is a conditional statement?
A conditional statement is a type of structure to express the relationship between two dependent variables. Its structure is as follows:
The code segment in question uses variables and conditional statements to determine the maximum value among three integer variables x, y, and z. However, there are cases where this code segment may not work as intended.
To determine which initial values for x, y, and z will cause this issue, we need to look at the code segment itself.
The code segment likely involves setting a variable called "max" to the value of one of the three variables (x, y, or z), and then using conditional statements to check if the other variables are larger than the current value of "max".
If they are, the value of "max" is updated to that variable.
To determine which initial values will cause issues, we need to consider cases where the conditional statements will not work as intended.
For example, if all three variables have the same value, the code segment may not correctly identify the maximum value.
Similarly, if two variables have the same value, but that value is smaller than the third variable, the code segment may not correctly identify the maximum value.
Based on the answer choices provided, it appears that the code segment may not work as intended for the initial values x = 1, y = 3, z = 2.
In this case, the initial value of "max" would be set to 1, and the conditional statements would not update the value of "max" to the correct maximum value of 3.
In conclusion, the code segment may not work as intended in cases where there are ties or when the initial values are not in order. It is important to test the code segment with different initial values to ensure that it works correctly in all cases.
The code segment in question is intended to set the variable "max" equal to the maximum value among the integer variables x, y, and z.
To demonstrate that the code segment does not work as intended in all cases, we need to evaluate each of the given initial values for x, y, and z.
1. x = 1, y = 2, z = 3: In this case, the maximum value is 3, which corresponds to the variable z.
2. x = 1, y = 3, z = 2: In this case, the maximum value is 3, which corresponds to the variable y.
3. x = 2, y = 3, z = 1: In this case, the maximum value is 3, which corresponds to the variable y.
4. x = 3, y = 2, z = 1: In this case, the maximum value is 3, which corresponds to the variable x.
Since we do not have the code segment, we cannot identify which of the cases above will cause the code segment to not work as intended.
However, you can test each case by implementing the code segment, assigning the initial values to the variables x, y, and z, and then checking if the variable "max" is set to the correct maximum value.
If any of the cases result in an incorrect "max" value, it means that the code segment does not work as intended for that particular set of initial values.
Hence, we do not have the code segment, we cannot identify which of the cases above will cause the code segment to not work as intended.
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As used in line 53, "dominion" most nearly means
A) omnipotence.
B) supremacy.
C) ownership.
D) territory.
Choice B - Supremacy
As used in line 53, "dominion" most nearly means supremacy.
In the first paragraph of Passage 2, when discussing changing social relations, Mill writes that in her time there was "a just equality, instead of the supremacy of the strongest." In this context of a society where some once had much more power than others, the word "dominion" almost means superiority or greater power.
Choices A, C, and D are incorrect because, in the context of a paragraph discussing differences in the amount of power members of a society have, "dominion" means dominion or greater power, not omnipotence or the state of being all-powerful (choice A), possession ( choice C) or territory (choice D).
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the probability that interest rates on housing loans will go up in the next 6 months is estimated to be 0.20. the probability that house sales will decrease is estimated to be 0.6. the probability that interest rates will go up and house sales will decrease is estimated to be 0.15. the probability of an increase in interest rates and not a decrease in house sales is:
If the probability that interest rates will go up and house sales will decrease is estimated to be 0.15, the probability of an increase in interest rates and not a decrease in house sales is 0.05.
To find the probability of an increase in interest rates and not a decrease in house sales, we can use the formula for conditional probability:
P(Interest rates increase and house sales don't decrease) = P(Interest rates increase) - P(Interest rates increase and house sales decrease)
We are given that the probability of interest rates on housing loans going up in the next 6 months is 0.20, and the probability of house sales decreasing is 0.6. We are also given that the probability of interest rates going up and house sales decreasing is 0.15.
To find the probability of interest rates going up and not house sales decreasing, we subtract the probability of interest rates going up and house sales decreasing from the probability of interest rates going up:
P(Interest rates increase and house sales don't decrease) = 0.20 - 0.15 = 0.05
In summary, we can use conditional probability to calculate the probability of an increase in interest rates and not a decrease in house sales.
Given the probabilities of interest rates going up and house sales decreasing, we can subtract the probability of interest rates going up and house sales decreasing from the probability of interest rates going up to find the probability of interest rates going up and not house sales decreasing.
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A puppy ways 5 3/4 how many does the puppy way in ounces???
I NEED HELP ASAP!!
Answer: 23 ounces
Step-by-step explanation:
Answer:
If you mean the puppy weighs 5 \(\frac{3}{4}\) pounds, then he would weigh 92 ounces.
Step-by-step explanation:
Each pound has 16 ounces in it, which means that you can just multiply 16 by 5, to get 80 ounces. Then, multiply .75 by 16 to get 12. Add them together to get 92.
Hope that this helps!
Amber had of a book of postage stamps. She used of the book of postagestamps.Which fraction of the book of postage stamps does Amber have now?一01-161616
We were told that Amber had 5/6 of a book of postage stamps. If she used 2/6 of the book of postage stamp, then the fraction of the book of postage stamp that she has left is
5/6 - 2/6
= 3/6
She has 3/6 now
use the triangle inequality theorem
Answer:
Step-by-step explanation:
B) 9<x<5
X has to be more than 9. 9+8=17, which would be a straight line.
X has to be less than 25. 17+8=25, which would be a straight line.
Answer:
9 < x < 25
Step-by-step explanation:
The length of a side of a triangle must be greater than the difference between the lengths of the other sides and less than the sum of the lengths of other sides.
x must be greater than the difference between 17 and 8.
17 - 8 = 9
x > 9
x must be less than the sum of 17 and 8.
x < 17 + 8
x < 25
When you put the two inequalities above together, you get:
9 < x < 25
plz help with this 5th one
Answer:
28
Step-by-step explanation:
Can someone please help me with this math problem? The math problem is listed in the picture, Thanks!
I can only use numbers, infinity symbols, etc.
You have to consider the following relation.
Answer:
Domain:
\( - \infty < x < \infty \)
Range:
\( - 1 \le \: y < \infty \)
Step-by-step explanation:
Domain:The Domain of a function is x values which are included in the graph. Sometimes x values will not be included because they cannot be defined at that point, but in this case the graph indicates that the graph continues to the right and left with no indication that there is an asymptote or it is undefined beyond the graph so we can assume it's defined for all real numbers. We can represent this in interval notation as:
\( - \infty < x < \infty \)
Since if you plug in any real number, this inequality should be true.
Range:The range of a function is defined as y values which are on the graph, this is restricted when certain y values are not on the graph... but we can usually tell because functions will have a minimum/maximum. By looking at the graph it appears to reach a minimum at y = -1 and then on the right and left side is increasing, never going below this value, so the range can be defined as:
\( - 1 \le y < \infty \)
Since the y values vary between -1 (including -1) and infinity... well that really just means there's no upper bound and it just keeps increasing and increasing.
FIST ONE TO AWNSER GETS BRAINLYIST AND 50 points IF CORRECT HURRY!!!!!!!!
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
Answer:
1 3, and 4 ones are correct
Step-by-step explanation:
jk
Use the following building blocks in the right column to assemble a direct proof that the product of two odd numbers is odd Not all blocks belong in the proof. Suppose that the product of two odd numbers is odd. Distributing we get nm-2(2kk)+1 Suppose that nm is odod. By multiplying these equations, we obtain nm = (2k + 1)(29 + 1). By definition of an odd integer, that means that nm is odd. Suppose that n and m are odd numbers. Then n = 2k + 1 for some integer k and m = 2q + 1 for some integer q. Then n 2k + 1 and m-2k + 1 for some integer k.
Using the following building blocks in the right column to assemble a direct proof that the product of two odd numbers is odd, we have:
Suppose that n \(\alpha\) m is oddThen n = 2k + 1, for some integers k, m = 2q + 1, for some integers qBy multiplying these equations, we obtain mn = (2k +1)(2q + 1)Distributing, we get: nm = 2(2kq + k + q) + 1By definition of odd integers, nm is oddWhat is a Mathematical Proof?A mathematical proof is an inferential justification for a mathematical claim that demonstrates how the premises logically support the conclusion.
The direct proof has been assembled above,
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Pasha traveled 217 miles in 3.5 hours, how far does she travel in 1 hour
A system of two linear equations in two variables has no solution. What statement is accurate about these two linear equations?
Responses
The two linear equations never intersect.
The two linear equations never intersect.
The two linear equations graph the same line.
The two linear equations graph the same line.
The two linear equations do not cross the x-axis.
The two linear equations do not cross the x-axis.
The two linear equations do not cross the y-axis.
The two linear equations do not cross the y-axis.
The two linear equations intersect at exactly one point.
The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.
How many types of solution are there for two linear equations ?
There are 2 types of solution :
Consistent :
A consistent system is said to be an independent system if it has a single solution.
A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.
Non-consistent :
Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.
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The two linear equations never intersect.
When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.
If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.
It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.
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Which value of x makes this equation true?-9x+15=3(2-x)
Step-by-step explanation:
-9x+15=3(2-x)
expand the bracket by the right hand side6-6x
2. collect like terms
-9x+15= 6-6x
15-6 = 6x+9x
11= 15x
3. divide both sides by the coefficient of X which is 15
x= 11/15
In EXACTLY 10 words, describe how to solve an equation.
Asking this so future students can see this and get the answer, because I am an idiot and cant figure this out on my own.
Answer:
1.Add or Subtract the same value from both sides.
2.Clear out any fractions by Multiplying every term by the bottom parts.
3.Divide every term by the same nonzero value.
4.Combine Like Terms.
5.Factoring.
6.Expanding (the opposite of factoring) may also help.
7.Recognizing a pattern, such as the difference of squares.
Step-by-step explanation:
a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study. true or false
True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.
What is a performance comparison?
They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.
The measures are employed in productivity improvement projects to monitor changes in productivity over time.
Why is performance measurement important?
Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.
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Calculate the cost (in cents) of using a 200 watt television for 30 days if turned on 2 hours per day and if electricity costs 10 cents per kilowatt-hour
Answer:
The awnser to this equation is 120 cents
The cost of using a 200-watt television for 30 days, turned on for 2 hours per day, would be $1.20.
To calculate the cost of using a 200-watt television for 30 days with 2 hours of daily usage at 10 cents per kilowatt-hour, we need to find the total energy consumption and then multiply it by the cost per kilowatt-hour.
First, let's find the total energy consumption:
1. Daily energy usage: 200 watts * 2 hours = 400 watt-hours
2. Monthly energy usage: 400 watt-hours * 30 days = 12,000 watt-hours
Now, we need to convert watt-hours to kilowatt-hours:
3. Monthly energy usage in kilowatt-hours: 12,000 watt-hours / 1,000 = 12 kWh
Finally, let's calculate the cost:
4. Cost of using the television for 30 days: 12 kWh * 10 cents per kWh = 120 cents
So, the cost of using a 200-watt television for 30 days with 2 hours of daily usage at 10 cents per kilowatt-hour is 120 cents.
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Two lengths of a triangle are 14 and 17. What is the largest
possible whole number perimeter?
If two lengths of a triangle are 14 and 17. Then the largest possible whole number perimeter is 62.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two lengths of a triangle are 14 and 17.
Side one is fourteen and side two is seventeen.
First we need to find the largest third side
The third side should always be less than the sum of other two sides lengths.
14+17
31
The third side must be less than 31, the largest possible third side is 30
Now let us find the perimeter of triangle.
Perimeter=14+17+31
=62
Hence the largest possible whole number perimeter is 62.
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Are 22/32 equivalent to 11/16
Answer:
Yes!
Step-by-step explanation:
22/32 divided by 2 equals 11/16, meaning they are equivalent.