Going back to fractions please help me
To add fractions with different denominators, we need to find a common denominator. By adding the fractions 1/2 and 7/8, we got the final answer is 11/8.
What are fractions?A fraction is part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.
First, we can see that 3 and 8 have no common factors, so we can find their least common multiple (LCM), which is 24.
Then we can convert both fractions so that they have a denominator of 24:
1/3 = 8/24
4/8 = 3/6 = 12/24
Now we can add the fractions:
8/24 + 12/24 = 20/24
However, we should simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 4 in this case.
So the final answer is 5/6.
First, we can find the least common multiple (LCM) of the denominators, which is 8 in this case.
Then we can convert both fractions so that they have a denominator of 8:
1/2 = 4/8
7/8 = 7/8
Now we can add the fractions:
4/8 + 7/8 = 11/8
However, we should simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 1 in this case.
So the final answer is 11/8.
similarly,
3/4 + 2/3 = 17/12
7/16 + 9/16 = 1
1/6 + 4/9 = 11/18
1/2 + 1/6 = 2/3
3/10 + 1/2 = 4/5
4/15 + 1/3 = 3/5
3/4 + 7/12 = 4/3
5/6 + 3/10 = 17/15
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approximate fx(3,5)fx(3,5) using the contour diagram of f(x,y)f(x,y) shown below.
The approximate of \(f_{x}(3,5)\) ≈ 4
We have to find an approximate of \(f_{x}(3,5)\) using the contour diagram, x and y, which was shown below. The slope of a second line is used to estimate the x and y direction. The curl f divides by the curl x is almost equal to the delta x. At the point of x, 13 is equal to 17 and 2 is equal to 18. The points are in a diagram. The curly f divides by curly x is equal to the delta f divided by delta x, which is 18 minus 17 divided by 2 minus 1. The value of a f is equal to 1. From here we can say that f of x 13 is equal to 1.
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solve 3x+ k= c for x.
The value of variable x in the equation is x = c - k / 3
How to make a variable subject of the formula?3x+ k = c
let's find x or make it the subject of the formula,
3x + k = c
subtract k from both sides of the equation
3x + k - k = c - k
3x = c - k
divide both sides by 3
3x / 3 = c - k / 3
Therefore,
x = c - k / 3
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Event A and B are independent. Suppose P(B) = 0.4 and P(A and B) = 0.13. Find P(A).
The required probability is 0.325 or 32.5%.
Event A and B are independent. Suppose P(B) = 0.4 and P(A and B) = 0.13.
Given: P(B) = 0.4P(A and B) = 0.13
Formula used: We know that when two events A and B are independent, then P(A and B) = P(A) × P(B)
Hence, the formula for finding P(A) can be given by:P(A) = P(A and B) / P(B)
Now, let's put the given values in the formula:P(A) = 0.13 / 0.4P(A) = 0.325
So, the probability of event A is 0.325 or 32.5% (approx).
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Use the image to answer the question. A coordinate plane with four quadrants shows the x- and y-axes ranging from negative 5 to 5 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is x minus 5 y equals 3. The equation of the dotted line is 3 x minus 2 y equals negative 4. The intersection of both lines is shown at negative 2 on the x-axis and negative 1 on the y-axis in quadrant 3.
Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4. Find the solution to both equations.(1 point)
The intersection point is ()
The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
Find the solution to both equations?One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:
x - 5y = 3
x = 5y + 3
Now we can substitute this expression for x into the second equation:
3x - 2y = -4
3(5y + 3) - 2y = -4
15y + 9 - 2y = -4
13y = -13
y = -1
We can now substitute this value for y back into either equation to find the value of x:
x - 5y = 3
x - 5(-1) = 3
x + 5 = 3
x = -2
Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.
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The tallest building in Franklin is two-thirds the
height of the tallest building in Mayville. If the
tallest building in Mayville is 80 i feet, find
the height of the tallest building in Franklin.
Answer:
53 7/8
Step-by-step explanation:
turn the mixed number into an improper fraction
divide the numerator by 3
multiply quotient by 2
simplify
The tallest building in Franklin is 53.3 feet.
The tallest building in Franklin is two-thirds the height of the tallest building in Mayville which is 80 feet high.
The tallest building in Franklin is therefore:
= 2/3 x 80
= 160 / 3
= 53.3 feet
The tallest building in Franklin is therefore 53.3 feet.
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PLEASE HELP!!!!!!!!!
Answer:
23.9
Step-by-step explanation:
it just is so right
If x=-2 and y=3 what is the value of 2x+y?
Answer:
2x(-2)+y= -1
Step-by-step explanation:
=−m equals , 5 fourths , n minus 7 to find m when =n equals 40.
It is to be noted that an equation is formed of two equal terms. As per the literal equation m=5/4n-7, the value of m when the value of n is 7 is 42.
What is a math expression?An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms.
The value of m from the given equation can be found by substituting the value of n as 7 in the given equation as shown below.
m = (5/4)n - 7
Substitute the value of n as 40,
m = (5/4)40 - 7
m = (5/1)10 - 7
m = 50 - 7
m = 42
Therefore, as per the literal equation m=5/4n-7, the value of m when the value of n is 7 is 42.
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Full Question:
Use the literal equation m=5/4n-7 to find m when n =40
Frank has $864 in his bank account. His cell phone bill is 1/5 the amount of money he has in his account. He has to give his mother $55.20. How much money will Frank have left in his account?
Answer:
$117.60
Step-by-step explanation:
Do this:
$864 1 $864
_____ x ____ = ______
1 5 5
Then divide $864 by 5
Then take $172.80 - $55.20
That will give you your answer.
Answer:
$636
Step-by-step explanation:
864/5=172.80 so he paid 172.80 dollars for the phone bill. He then has 691.20 dollars left. he then gives his mother $55.20 and is left with $636.
what is the quotient of 3/4 and 5/6?
A. 3/4
B. 9/10
C. 1 1/9
D. 4 1/2
Answer:
B
Step-by-step explanation:
3. 6. 18 ÷ 2. 9
4. 5 = 20 ÷ 2 = 10
Let's see what it would take to win that trip to Hawaii.
Remember that you think you'll respond to 12 questions and hope to score 600 points to win,
although it's possible to score even more points or many fewer (including negative scores!) on
the show.
Here are the equations you wrote to model your winning scenario:
x+y=12
100x - 200y = 600
Are the boundaries of the first equation viable in the second equation? What does this
suggest about your plan to score 600 points?
Select the two correct statements.
Answer:
A and D choices (Plato)
Step-by-step explanation:
The upper boundary of the first equation is at x = 12, y = 0. With these values, this is the second equation:
100(12) − 200(0) = 1,200.
The lower boundary of the first equation is at x = 0, y = 12. With these values, this is the second equation:
100(0) − 200(12) = -2,400.
Both of these scores are possible in the game, so they are both viable.
Because the upper boundary is greater than 600, it suggests that you can still score 600 points and win the game even if you get one or two of the questions incorrect.
In fact, you could give 10 correct and 2 incorrect answers to score 600 points and still beat the champion, Kimberly, assuming she answers 15 correct and 5 incorrect to score 500 points.
4. [10 points] List the following functions according to their order of growth from the lowest to the highest. (n-2)!, 10 log (n+100) 100, In² n, 2²n, 3n+1, 0.0052√√n +3logn² + log²n, 0.5, 1000 nlogn + 50, n², (0.3)"
The correct order of the given functions from lowest to the highest growth is: 0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.
The given functions are listed below according to their order of growth from the lowest to the highest:
0.5(0.3)(n-2)!10 log(n+100)(100)(log²n + 3logn² + 0.0052√√n)3n+1(n²)1000 nlogn + 50(2²n)In² nTherefore, the correct order of the given functions from lowest to the highest growth is:
0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.
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Which of the of the following statements is true with respect to a simple linear regression model? a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1. O b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative. O C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant. O d. all of the above is true. e. none of the above is true.
Answer:
d. All of the above are true
Step-by-step explanation:
All of the following statements,
a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.
b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.
C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.
are true
At what value of x does the graph of y= (1/x^2)-(1/x^3) have apoint of inflection?
A)0
B)1
C)2
D)3
E)At no value of x
Answer: C)2
Step-by-step explanation:
Probably right, something similar on Cuemath
The velocity in a fluid flow field is given by u=2x+y^2u=2x+y2 and v=3x^2yv=3x2y where uu is the x-component of velocity, and vv is the y-component of velocity. What is the x-component of fluid acceleration in terms of x and y?
The x-component of fluid acceleration in terms of x and y is 2.
To find the x-component of fluid acceleration (ax), we need to differentiate the x-component of velocity (u) with respect to time.
However, the given equations provide the expressions for u in terms of x and y, not time. Therefore, we need to differentiate u with respect to x and y instead.
Given: u = 2x + y^2
To find the x-component of fluid acceleration (ax), we differentiate u with respect to x while treating y as a constant:
ax = ∂u/∂x = ∂(2x + y^2)/∂x = 2
The x-component of fluid acceleration, ax, is simply 2.
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In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?
The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.
The population proportion who participated in voting is given as 63% of all registered voters.
This means that out of every 100 registered voters, 63 participated in voting.
In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.
Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .
Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.
It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.
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area of rectangular solid 2.3 1.8 3.2
2 3 8 is equal to 2.375
Step-by-step explanation:
in fraction form
Your cousin borrows $1125 to repair her car. The simple annual interest rate is 10%. She makes equal monthly payments of $25. How many years will it take to pay off the loan? (PLSSS HELP)
Answer:
Step-by-step explanation:
Your cousin borrows $1125 to repair her car. The simple annual interest rate is 10%. She makes equal monthly payments of $25. How many years will it take to pay off the loan? (PLSSS HELP)
Given data
P=$1125
R=10%= 0.1
I= $25
We know that
I=PRT
i need this answered pls ASAP
Answer:
Your answer should be 8
Step-by-step explanation:
because 2^3 is also 2x2x2 and that equals 8
what fraction multiplied by itself is equal to 4/25?
hello
#stay At Home
thanks
The test scores for a class of 163 students are computed. What is the location of the test score associated with the third quartile
The location of the test score associated with the third quartile is the value that corresponds to the 123rd rank in a class of 163 students.
The third quartile, also known as the upper quartile, is a statistical measure that divides a set of data into quarters. It is the point at which 75% of the data lies below it and 25% of the data lies above it. To find the location of the test score associated with the third quartile, we need to arrange the test scores in ascending order and then find the value that corresponds to the 75th percentile.
Given that there are 163 students in the class, we can determine the rank of the score associated with the third quartile as follows:
Rank of the third quartile = 0.75 x 163 = 122.25
Since we cannot have a fractional rank, we need to round up to the next whole number. Therefore, the rank of the score associated with the third quartile is 123.
Next, we need to find the value of the test score that corresponds to the 123rd rank. We can do this by using a percentile rank calculator or by manually counting the test scores from the lowest to the highest until we reach the 123rd score.
In summary, the location of the test score associated with the third quartile in a class of 163 students is the value that corresponds to the 123rd rank.
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helpppp
1) calculate the values of the missing sides And angles in the following triangles And rectangles
Answer:
For the pink triangle, \(\alpha +\beta = 90\) degrees
For the yellow triangle, \(\beta =35\) degrees
Step-by-step explanation:
You need side lengths to find the rest of the angle measures for the pink triangle and I'm not sure how to find side lengths with coordinates, I'm used to an integer with a unit of measure, maybe someone else could help with that.
What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.
To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.
The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.
By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.
Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.
Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.
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I don’t understand this question. Can anyone help? I need answers ASAP. Thanks for all the help
There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
mary's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs mary 5.30 per pound, and type b coffee costs 4.2 per pound. this month, mary made 148 pounds of the blend, for a total cost of 694.2 . how many pounds of type b coffee did she use?
Mary used 66 pounds of type A coffee and 82 pounds of type B coffee to make a total of 148 pounds of the blend, with a total cost of $694.20.
Let's assume Mary used x pounds of type A coffee and (148 - x) pounds of type B coffee.
The cost of type A coffee is $5.30 per pound, so the cost of the type A coffee used is 5.30x.
The cost of type B coffee is $4.20 per pound, so the cost of the type B coffee used is 4.20(148 - x).
According to the given information, the total cost of the blend is $694.20. Therefore, we can set up the equation:
5.30x + 4.20(148 - x) = 694.20
Simplifying and solving for x
5.30x + 621.60 - 4.20x = 694.20
1.10x = 72.60
x = 66
Mary used 66 pounds of type A coffee. Therefore, she used (148 - 66) = 82 pounds of type B coffee.
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plsss help me with this one I'm very confused
Answer:
The correct answer is: Option D: \(t = 5s + \frac{s}{2}\)
Step-by-step explanation:
Given that
Weight of snail is s
We have to use the given statements to write the mathematical expression
The snail drank water 5 times of its weight
So the quantity of water will be 5s
And it ate half of its weight's food which will be s/2
The combined weight of water and food will be:
\(t = 5s + \frac{s}{2}\)
Hence,
The correct answer is: Option D: \(t = 5s + \frac{s}{2}\)
a is an nn matrix. determine whether the statement below is true or false. justify the answer. if a for some scalar , then is an eigenvector of a.
The statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.
What is matrix?A group of numbers built up in a rectangular array with rows and columns. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.
The statement is false. An eigenvector is a non-zero vector that, when multiplied by a matrix, produces a scalar multiple of itself. In other words, if v is an eigenvector of a matrix A, then Av = λv, where λ is the corresponding eigenvalue.
The statement suggests that if a is an nn matrix (presumably an n x n matrix), and a scalar α exists such that αv is an eigenvector of a, then v must also be an eigenvector of a. However, this is not necessarily true.
Let's consider a counterexample to demonstrate this. Suppose we have the 2x2 identity matrix I:
I = [[1, 0],
[0, 1]]
In this case, any non-zero vector v will satisfy the condition αv = v for α = 1. However, not all non-zero vectors v are eigenvectors of I. In fact, the only eigenvectors of I are [1, 0] and [0, 1] with corresponding eigenvalues of 1.
Therefore, the statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.
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Jocelynn rode her motorcycle at an average speed of 45 miles per hour for 4.5 hours then rode at an average speed of 50 per hour for 2.5 hours. What was the total distance in miles that Jocelynn rode her motorcycle during this time?
Answer:
327 miles
Step-by-step explanation:
Answer:
327.5 miles
Step-by-step explanation:
45 times 4.5 + 50 times 2.5 = 327.5
help me ...Given △ABC≅△EFG, which congruency statement is true?
(A.) EC¯¯¯¯¯≅BF¯¯¯¯¯
segment E C is congruent to segment B F
(B.) CB¯¯¯¯¯≅GE¯¯¯¯¯
segment C B is congruent to segment G E
(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯
segment A C is congruent to segment E G
(D.) BA¯¯¯¯¯≅EF¯¯¯¯¯
Answer:
(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯ is true
Step-by-step explanation:
The positions of the letters in naming the triangles in the statement of congruent tells you which sides are congruent.
△ABC≅△EFG
Sides AB and EF are congruent
△ABC≅△EFG
Sides BC and FG are congruent
△ABC≅△EFG
Sides AC and EG are congruent
Look at the choices:
(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯ is true