Express 24/40 and 18/42 in their simplest forms.
Answers
Answer:
24/40 = 4/5
18/42 = 3/7
Step-by-step explanation:
Sana makatulong
Answer:
24/40 =3/5
18/42 = 3/7
Step-by-step explanation:
1. finding the common factor that can bring 24/40 in the simplest form
2 finding the common factor that can break down 18/42 in the simplest form
Related Questions
- x + 3y = 11
x - 5y = -17
Ans. (x.y) = ( . )
Answers
Answer:
(x,y)=(-2,3)
Step-by-step explanation:
how many degrees makes up a straight line
Answers
Answer:
180 degrees
Step-by-step explanation:
it says it needs to be 20 characters so I'm writing this :)
10 Ten Atlas batteries were tested to find their average life. The times, in hours, that the batteries lasted were as follows: 10.8, 10.6, 11.4, 8.9, 10.1, 10.6, 9.9, 12.6, 10.5, 11.9. a Find, to the nearest tenth of an hour, the average life of the ten batteries. b Which of the following advertisements is more accurate? i Atlas batteries are guaranteed to last 10 hours. ii Atlas batteries have an average life of over 10 hours.
Answers
a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2
Number of values = 10
Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63
Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.
b) Comparing the two advertisements:
i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum
ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.
Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.
In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.
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What number is halfway between 421000 and 422000
Answers
Step-by-step explanation:
421500that's all
thank you
find the inverse of each function
Answers
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
Watch the sign of the cosine function when using the cosign law. Cos 120 degrees for example, is in the second quadrant and therefore
Answers
Cos 120 is in the second quadrant and therefore is a negative signed value
What are quadrants in trigonometry?
A plane is divided into four sections, or quadrants, by an x-axis and a y-axis in a rectangular coordinate system. The letter O stands for the origin, which is the place where the two axes converge.
In the first quadrant, there are angles between 0 and 90.
In the second quadrant, there are angles between 90 and 180.
In the third quadrant, there are angles between 180 and 270.
In the fourth quadrant, there are angles between 270 and 360.
Cos is only positive in the first quadrant and in the 4th quadrant and always negative in the second and third quadrant
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-5X^2 + 3X = -3X^2 + 3X - 50 solve for x
Answers
\(-5x^2+3x = -3x^2 +3x -50\\\\\implies 5x^2-3x^2 +3x-3x -50 =0\\\\\implies 2x^2 -50 =0\\\\\implies x^2 -25 = 0\\\\\implies x^2 = 25\\\\\implies x = \pm5\\\\\text{Hence}~ x = 5~ \text{or}~ x = -5\)
Answer:
X = 5, —5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
2x² + 5x, what will it a Perfect Square? make
Answers
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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In 2015, as part of its 10th high school reunion, the class of 2005 held a reception at the high school. In an informal survey, the principal of the high school asked 50 of the attendees about their income. The principal computed the mean income of the 50 attendees to be $148,535. In an article published by the local newspaper, the principal was quoted as stating, "The members of our class of 2005 enjoyed resounding success. Last year, they had a mean income of $148,535!"
Part A: What is a statistical advantage of using the median of the reported incomes, rather than the mean, as the estimate of the typical income? (4 points)
Part B: The principal felt the individuals who attended the reception may be different from the class as a whole. A more detailed survey of the class was planned to determine a better estimate of income. The staff developed two methods based on the available funds to carry out the survey.
Method 1: Send out an e-mail to all 2,476 members of the class and ask them to complete an online form. The staff estimates that at least 500 members will respond.
Method 2: Select a simple random sample of members of the class and contact the selected members directly by phone. Follow up to ensure all responses are obtained. Because method 2 requires more time than method 1, the staff estimates only 100 members of the class can be contacted using method 2.
Which of the two methods would you select for estimating the average yearly income of all 2,476 members of the class of 2005? Explain your reasoning by comparing the two methods and by describing the effect of each method on the estimate.
Answers
Method 2 is the best option for estimating the average yearly income of the class of 2005.
What type of sampling technique is used?I would select Method 2 for estimating the average yearly income of all 2,476 members of the class of 2005. Method 2 involves selecting a simple random sample of members of the class and contacting them directly by phone. This method guarantees that the sample will be representative of the entire population and thus provides the best estimate of the average income of the class. By randomly selecting the sample, we can be sure that the sample will be unbiased and the results will be more reliable. Method 1, on the other hand, involves sending an e-mail to all 2,476 members of the class and asking them to complete an online form. Although this method is easier and less time-consuming, it does not guarantee a representative sample. If only 500 people respond, it is possible that the sample will not be representative of the entire population and thus, the results will not be accurate. Overall, It will ensure that the sample is representative of the entire population and that the results are unbiased and reliable.To learn more about the sampling theory refer to:
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What is the area of a triangle with vertices at (−4, −6), (1, −6), and (1, 2)?
Answers
Answer:
20
Step-by-step explanation:
firstly let's find out the side lengths of the triangle using formula
\(length \: = \: \sqrt{(y₂-y1) + ( y₂-y1)}\)
length of AB
\( \sqrt{( - 6 - 2) {}^{2} + ( - 4 - 1) {}^{2} } = \sqrt{89} \)
length of AC
\( \sqrt{( - 6 - 2) {}^{2} + (1 - 1) {}^{2} } = 8\)
length of BC
\( \sqrt{( - 6 - ( - 6)) {}^{2} + (1 - ( - 4)) {}^{2} } = 5\)
Now we have all three side lengths:
a =√89 b = 8 and c = 5
using this formula to find the semi perimeter where a, b and c are the side lengths, input them in
\(s \: = \: \frac{a + b + c}{2} \)
\(s = \frac{ \sqrt{89} + 8 + 5 }{2} = \frac{13 + \sqrt{89} } {2} \)
Use heron's formula
\(area = \sqrt{s(s - a)(s - b)(s - c)} \)
\(area = \sqrt{ \frac{13 + \sqrt{89} }{2}(\frac{13 + \sqrt{89} }{2} - \sqrt{89})( \frac{13 + \sqrt{89} }{2} - 8)(\frac{13 + \sqrt{89} }{2} - 5 } = 20\)
area = 20
..A tin of paint was 2/3 litres full. Tom used 1/2 of
the paint to paint his table. How much was left ?
Answers
Multiply the amount of paint started with by the amount used:
2/3 x 1/2 = (2 x 1) / (3 x 2) = 2/6 = 1/3
There is 1/3 liter left
Question 11 of 25
Company A charges a $120 annual fee plus $7 per hour car share fee.
Company B charges $100 plus $9 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 12
B. 11
O C. 10
D. 9
Answers
Answer: is A
Step-by-step explanation:
List all the subsets of the given set.
{e, n, t}
Answers
The subsets of the set {e, n, t} are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
How to obtain the number of subsets in a set?Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:
\(2^n\)
The set for this problem is given as follows:
{e, n, t}
The cardinality is given as follows:
n = 3.
Hence the number of subsets is given as follows:
2³ = 8.
The subsets are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
In which {} is the empty set.
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You can afford monthly deposits of $200 into an account that pays
5.7% compounded monthly. How long will it be until you have $7000?
(Round to the next-higher month if not exact.)
Answers
The form of the alternative hypothesis can be: A. neither one nor two-tailed B. two-tailed C. one or two-tailed D. one-tailed
Answers
Answer:
The answer is "Option C"
Step-by-step explanation:
It is the hypothesis which would be opposed to just the null hypothesis, that is used in its testing. In this, we generally believed that the results derive from a particular effect with some superimposed variance of chance. It is nothing but an option in contrast to the null and its original test starts by considering its two hypotheses, that's why the only option C is correct.show all of your work, even though the question may not explicitly remind you to do so. clearly label any functions, graphs, tables, or other objects that you use. justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. your work will be scored on the correctness and completeness of your methods as well as your answers. answers without supporting work will usually not receive credit. unless otherwise specified, answers (numeric or algebraic) need not be simplified. if your answer is given as a decimal approximation, it should be correct to three places after the decimal point. unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number. the number of mosquitoes in a field after a major rainfall is modeled by the function m defined by m(t)
Answers
The function is defined as g(x) = f (√3x² + 4 ), where "f" is an unknown function.
A function is a mathematical object that assigns a unique output or value for each input. In other words, given an input, a function produces exactly one output.
To understand this function and its properties, we need to first identify and verify the domain and range of the function. The domain of a function is the set of all possible inputs for which the function produces a real output. In this case, the domain of "m" is the set of all real numbers "x" such that the expression √3x² + 4 is real.
Next, we need to understand the composition of functions. In this case, "m" is defined as the composition of two functions, "g" and "f."
The composition of two functions "f" and "g" is defined as "f(g(x))," which means that the output of "g" is used as the input for "f." In other words, we first evaluate "g" for a given value of "x," and then use the output of "g" as the input for "f."
Finally, we can evaluate the function "m" for a specific value of "x" by first evaluating "g" and then "f."
To do this, we simply substitute the value of "x" into the expression for "g" and then evaluate "f" with the resulting output.
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Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
Answers
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
A gardener uses a roller to flatten a bowling green of length 29 m. The roller has a diameter of 1.3 m. The gardener says the roller makes 8 full turns in travelling the length of the green. Is the gardener correct? Explain your answer.
Answers
The gardner is correct Because the total distance traveled by the roller is greater than the length of the bowling green.
What is a diameter?A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
For the gardener to be correct,
8×Perimeter of the roller = Length of the bowling green
Therefore,
8πd = 29 (for the gardener to be correct)Let use first find the perimeter of the roller
P = πd....... Equation 1Where:
P = Perimeterd = diameter of the roller = 1.3 mSubstitute these values into equation 1
P = 1.3×22/7P = 4.09For 8 full rotation,
8×4.09 = 32.72 mComparing the distance for 8 revolution of the roller with the length of the bowling green,
The total distance traveled by the roller is greater than the length of the bowling green.Therefore, the gardner is correct
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The time needed to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes and a standard deviation of 12 minutes. Answer the following questions.
Required:
a. What is the probability of completing the exam in one hour or less (to 4 decimals).
b. What is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes (to 4 decimals)?
c. Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to the nearest whole number)?
Answers
Answer:
a. The probability of completing the exam in one hour or less is 0.0783
b. The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555
c. The number of students will be unable to complete the exam in the allotted time is 8
Step-by-step explanation:
a. According to the given we have the following:
The time for completing the final exam in a particular college is distributed normally with mean (μ) is 77 minutes and standard deviation (σ) is 12 minutes
Hence, For X = 60, the Z- scores is obtained as follows:
Z= X−μ /σ
Z=60−77 /12
Z=−1.4167
Using the standard normal table, the probability P(Z≤−1.4167) is approximately 0.0783.
P(Z≤−1.4167)=0.0783
Therefore, The probability of completing the exam in one hour or less is 0.0783.
b. In this case For X = 75, the Z- scores is obtained as follows:
Z= X−μ /σ
Z=75−77 /12
Z=−0.1667
Using the standard normal table, the probability P(Z≤−0.1667) is approximately 0.4338.
Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is obtained as follows:
P(60<X<75)=P(Z≤−0.1667)−P(Z≤−1.4167)
=0.4338−0.0783
=0.3555
Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555
c. In order to compute how many students you expect will be unable to complete the exam in the allotted time we have to first compute the Z−score of the critical value (X=90) as follows:
Z= X−μ /σ
Z=90−77 /12
Z=1.0833
UsING the standard normal table, the probability P(Z≤1.0833) is approximately 0.8599.
Therefore P(Z>1.0833)=1−P(Z≤1.0833)
=1−0.8599
=0.1401
Therefore, The number of students will be unable to complete the exam in the allotted time is= 60×0.1401=8.406
The number of students will be unable to complete the exam in the allotted time is 8
Carlos purchase 3 pounds of potatoes,2 pounds of banana & five pounds of apple,he handed the clerk $12.43 how many pounds total does his idea weight
Answers
Answer:
I don't know "how many pounds total does his idea weights" but the stuff he purchased weights 10 pounds.
2. There is another surface that Molly does not need to paint, because it won’t show when she displays the model house. Describe that surface. (2 points)
Answers
Without additional information about the model house, it is impossible to accurately describe the surface that Molly does not need to paint. It could be any surface that will not be visible when the model house is displayed, such as the underside of a roof, the back of a wall, or the bottom of a floor.
Help thank u so much thanks
Answers
7.5, 7.058, 8.508,
8.58
Step-by-step explanation:
Answer:
1. 8.58, 8.508, 7.5, 7.058
2. 439.612, 439.261, 439.216, 439.126
Step-by-step explanation:
Prioritize the numbers that have a higher digit at a higher position. Just for fun:
In[1]:= ReverseSort[{8.508, 8.58, 7.5, 7.058}]
Out[1]= {8.58, 8.508, 7.5, 7.058}
In[2]:= ReverseSort[{439.216, 439.126, 439.612, 439.261}]
Out[2]= {439.612, 439.261, 439.216, 439.126}
PLEASE HELP WILL MARK BRAINLIEST!!!!
Answers
Answer:
0.08, 1/4, 0.3, 1/3, 40%, 85%
Step-by-step explanation:
Let's start by converting everything into a decimal
0.08
0.30
40%=0.40
85%=0.85
1/3=0.33
1/4=0.25
Now we order them from least to greatest:
0.08, 0.25, 0.30, 0.33, 0.40, 0.85
0.08, 1/4, 0.3, 1/3, 40%, 85%
Is the following relation a function?
Yes
or
No
Answers
Answer:
no
Step-by-step explanation:
not for sure tho
1. Find the equation of the image of the circle x² + y2 + 16x-24y + 183 = 0 by rotated the line mirror 4x + 7y + 13 = 0. 2. The image of the circle (x - 3)² + (y-2)² = 1 in the line mirror ax + by = 19 is (x-1)³ + (y-16)2 = 1 then, find the values of (a, b). 3. Find the equation of a line passing through the origin and making an angle with the 4 line y-3x-5. 4. A parabola is drawn with its focus at (3,4) and vertex at the focus of the parabola y²-12x - 4y + 4 = 0. The n find equation of the parabola. 5. If the line ax + by + c = 0 touches the circle x² + y² - 2x = and is normal to the circle x² + y² + 2x - 4y + 1 = 0, then find the value of (a, b). 6. If the line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x. -3 7.1² 14 231= [] then find the matrix A 8. Find the equation of the ellipse having its center at the point (2,-3), one and one vertex at (4, -3). 3 9. Find the value of x if-1 0 10. Solve the linear system using Cramer's rule a) 2 1 2 4 (6x - 4y = -12 8x - 3y = -2 X = 16 -21 3x + 2y = z = 5 b) x-y+3z = -15 (2x + y +7z = -28 one focus at (3,-3) 11. Find the value of k for which the following system of linear equations has infinite solutions: x + (k+1)y = 5 ((k+1)x + 9y = 8k - 1
Answers
Answer:
-72x - 53y + 287 = 0.
Step-by-step explanation:
To find the equation of the image of the circle, we need to reflect each point on the circle in the given line mirror.
The line mirror equation is given as 4x + 7y + 13 = 0.
The reflection of a point (x, y) in the line mirror can be found using the formula:
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
where A, B, and C are the coefficients of the line mirror equation.
For the given line mirror equation 4x + 7y + 13 = 0, we have A = 4, B = 7, and C = 13.
Now, let's find the equations of the image of the circle.
The original circle equation is x² + y² + 16x - 24y + 183 = 0.
Using the reflection formulas, we substitute the values of x and y in the circle equation to find x' and y':
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
= (x - 2(4)y - 2(7)(4x + 7y + 13)) / (4^2 + 7^2)
= (x - 8y - 8(4x + 7y + 13)) / 65
= (x - 8y - 32x - 56y - 104) / 65
= (-31x - 64y - 104) / 65
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
= (y - 2(7)x + 2(4)(Ax + By + C)) / (4^2 + 7^2)
= (y - 14x + 8(Ax + By + C)) / 65
= (y - 14x + 8(4x + 7y + 13)) / 65
= (57x + 35y + 104) / 65
Therefore, the equation of the image of the circle is:
(-31x - 64y - 104) / 65 + (-57x + 35y + 104) / 65 + 16x - 24y + 183 = 0
Simplifying the equation, we get:
-31x - 64y - 57x + 35y + 16x - 24y + 183 + 104 = 0
-72x - 53y + 287 = 0
So, the equation of the image of the circle is -72x - 53y + 287 = 0.
In the diagram a || b. Use the diagram to answer the question. Name the alternate interior angle to <2
Answers
The angle 7 is the alternative interior angle to angle 2.
Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.
They are the angles that are on opposite sides of the transversal and inside the two parallel lines.
Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.
We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.
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In the past few years, many small businesses have been faced with difficulty keeping their doors open, and in many cases large corporations with cash on hand have come in to take over the companies and their real estate. In such case, a large restaurant chain purchased a small corner tavern with plans to use the name to build a local franchise. The cost of buying the franchise naming rights was four times the cost of buying the physical property. If the total purchase price was $1,250,000, how much did the restaurant chain pay for each individual element of the sale ( naming rights and physical property)?
Answers
The restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.
What is sale?Sale refers to the transfer of ownership of goods or services from one person to another in exchange for money or other consideration.
The total purchase price of the franchise naming rights and physical property was $1,250,000.
To calculate the amount paid for each individual element of the sale, the total purchase price must be divided by the two elements.
The total purchase price of $1,250,000 divided by two elements equals $625,000.
This means that the restaurant chain paid $625,000 for the franchise naming rights and $625,000 for the physical property.
The amount of money paid for the franchise naming rights (four times the cost of buying the physical property) can be calculated by multiplying the cost of the physical property, which is
$625,000/4 .
When the cost of the physical property is multiplied by four, the result is $2,500,000.
This means that the restaurant chain paid $2,500,000 for the franchise naming rights.
In summary, the restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.
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Matt needs a new pair of jeans. A pair of Levi's jeans costs $75.00. The store is having a
fall sale where all jeans are 40% off. What is the discount? What will Matt end up paying
for the jeans? SHOW ALL OF YOUR WORK.
Answers
Answer:
$5.4375. my guy hope this help :.(
Step-by-step explanation:
}−2x+2y=−4
{3x+3y=−18
find the solution to the systems of equations
Answers
Answer:
Answer=
x=(-2),y=(-4)
and in components form,
(-2,-4)
Step-by-step explanation:
equation1 (-2x+2y=-4)
equation2 (3x+3y=-18)
(times equation 1 by 3 and times equation 2 by 2, to make the y values equal to each other)
E1 (-6x+6y=-12)
E2 (6x+6y=-36)
(subtract both equations from each other)
-6x+6y=-12
-
6x+6y=-36
=(-12x=24)
so, x=24÷-12=-2
(then we sub the value of x into one of the equations- the new one or the old one)
3x+3y=-18
(3×-2)+3y=-18
3y=-18+6=-12
y=-12÷3=-4
the area of a square is seasonal 25 cm Square calculate the length of a diagonal to one decimal place .
Answers
Answer:
The answer is 7.1cm to 1d.p
Step-by-step explanation:
Area of square =L²
25=L²
√L²=√25
L=5cm
hyp²=opp²+adj²
x²=5²+5²
x²=25+25
x²=50
√x²=√50
x=7.1cm to 1d.p