Johnny read 30 pages on Monday. On Tuesday he read 1/8 of the book. On Wednesday he read the remaining 1/4. How many pages did he read in total?To find out how many pages Johnny read in total, we need to first determine the total number of pages in the book. We know that he read 1/8 of the book on Tuesday and the remaining 1/4 on Wednesday. So we can add these two fractions to find out the total fraction of the book that he read:1/8 + 1/4 = 3/8Now we know that Johnny read 3/8 of the book. We can use this information to set up a proportion to find out how many pages he read in total:3/8 = x/total number of pagesTo solve for x, we can cross-multiply and simplify:3/8 * total number of pages = xMultiply both sides by 8/3:total number of pages = x * 8/3Now we need to find out what x is. We know that Johnny read 30 pages on Monday, which is 1/8 of the total number of pages. So we can use this information to set up another proportion:1/8 = 30/total number of pagesTo solve for the total number of pages, we can cross-multiply and simplify:1/8 * total number of pages = 30Multiply both sides by 8:total number of pages = 240Now we can substitute this value for the total number of pages in our previous equation to find out how many pages Johnny read in total:total number of pages = x * 8/3240 = x * 8/3Multiply both sides by 3/8:x = 90Therefore, Johnny read a total of 30 + 90 = 120 pages.
.. Sasha Abbott earns $62,550.00 in taxable income each year. The tax rate is 3.6%, and she takes zero deductions. How much tax does her employer withhold each year? A $2,380.50 B $2,251.80 C $2,500.40 D $1,823.20
Answer: B $2,251.80
Step-by-step explanation:
:)
A customer bought the following items from Herman’s Market.
1 1/3
pounds of American cheese at $6.99/pound
2 1/4
pounds of turkey at $5.99/pound
2/3
pound of cheddar cheese at $3.99/pound
How much did the customer pay for all the items?
A: $16.97
B: $22.96
C: $25.46
D: $26.96
Answer:
1 1/3 pounds of American cheese is equivalent to 4/3 pounds of American cheese.
2 1/4 pounds of turkey is equivalent to 9/4 pounds of turkey.
2/3 pound of cheddar cheese is equivalent to 0.67 pounds of cheddar cheese.
So the cost of each item is:
American cheese: (4/3) x $6.99 = $9.32 (rounded to the nearest cent)
Turkey: (9/4) x $5.99 = $13.48 (rounded to the nearest cent)
Cheddar cheese: 0.67 x $3.99 = $2.67 (rounded to the nearest cent)
To find the total cost, we add up these amounts:
$9.32 + $13.48 + $2.67 = $25.47
Therefore, the customer paid $25.47 for all the items.
four students use different instruments to measure the length of the same pen. which measurement implies the greatest precision?
If four students use different instruments to measure the length of the same pen, the measurement which implies the greatest precision is 160.0 mm. Correct option is A.
To determine which measurement implies the greatest precision, we need to look at the number of significant figures in each measurement. The greater the number of significant figures, the greater the precision of the measurement.
In this case, we have four measurements:
(a) 160.0 mm
(b) 16.0 cm
(c) 0.160 m
(d) 0.00016 km
We can see that all of these measurements represent the same length in different units, and they are all written with the same number of decimal places. However, the number of significant figures is different for each measurement.
Measurement (a) has four significant figures, while measurements (b), (c), and (d) each have three significant figures. Therefore, measurement (a) implies the greatest precision, since it has the most significant figures.
So, the answer is (a) 160.0 mm, which implies the greatest precision among the given measurements.
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Complete question is:
Four students use different instruments to measure the length of the same pen. Which measurement implies the greatest precision?
(a) 160.0 mm
(b) 16.0 cm
(c) 0.160 m
(d) 0.00016 km
(e) Need more information
A math class is set up to have assignments worth 45%, quizzes worth 40% and the final exam is worth the rest of the grade. If Serena has 78% on assignments and 65% on quizzes and 96% on the final, what is her overall grade to 2 decimal places?
Serena's overall grade in the course is 75.5%. It's important to note that in a weighted grading system like this, the final exam is often a major determinant of the final grade.
To calculate Serena's overall grade, we need to first determine the weight of the final exam. We know that the assignments are worth 45% and the quizzes are worth 40%, which leaves 100% - 45% - 40% = 15% for the final exam.
Next, we can calculate Serena's grade for each component of the course. Her grade for assignments is 78% and her grade for quizzes is 65%. We can calculate her grade for the final exam by multiplying her score of 96% by the weight of the final, which is 15%:
Final grade = (0.45 * 78%) + (0.4 * 65%) + (0.15 * 96%)
Final grade = 35.1% + 26% + 14.4%
Final grade = 75.5%
Therefore, Serena's overall grade in the course is 75.5%. It's important to note that in a weighted grading system like this, the final exam is often a major determinant of the final grade. In this case, Serena's strong performance on the final exam helped to boost her overall grade, even though her scores on the assignments and quizzes were not as high. It's also worth noting that this calculation assumes that all assignments, quizzes, and the final exam were weighted equally within their respective categories (i.e., each assignment was worth the same percentage of the assignment grade).
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which of the following is an example of quantitative research? question 3 options: a survey in which people are asked to indicate how much they trust a number of different politicians using a scale of 1-5, with 1
The answer is option a: a survey in which people are asked to indicate how much they trust a number of different politicians using a scale of 1-5, with 1 being the least amount of trust. This is an example of quantitative research.
Quantitative research requires participants to quantify their feelings and opinions using numerical values. It involves measuring variables and collecting numerical data, which can then be analyzed statistically. In this case, the survey data can be analyzed to measure the amount of trust people have in politicians.
The survey asks participants to quantify their trust in politicians using a numerical scale, with 1 being the least amount of trust.The data collected from this survey is numerical and can be analyzed using statistical methods.The results of this quantitative research can be used to measure the amount of trust people have in politicians.For more such questions on Quantitative research.
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.
You buy 4 small candles and 1 large candle for $18. Your friend buys 5 small candles
and 2 large candles for $27. What is the cost of each small candle? of each large candle?
Answer: The cost of each small candle is $3 and the cost of each large candle is $6.
Step-by-step explanation:
Let's use variables to represent the cost of each small candle and each large candle. Let's call the cost of each small candle "x" and the cost of each large candle "y".
We can set up two equations based on the information given:
4x + 1y = 18 (equation 1)
5x + 2y = 27 (equation 2)
We can solve for one variable in terms of the other by using one equation to eliminate one variable. Let's solve for "y" in terms of "x" by multiplying equation 1 by 2 and subtracting it from equation 2:
5x + 2y = 27
(8x + 2y = 36)
-3x = -9
Dividing both sides by -3, we get:
x = 3
Now that we know the cost of each small candle is $3, we can substitute that value into one of the equations to solve for the cost of each large candle. Let's use equation 1:
4x + 1y = 18
4(3) + 1y = 18
12 + y = 18
y = 6
Therefore, the cost of each small candle is $3 and the cost of each large candle is $6.
Can someone help me please
2,10,50,... find the sum of the first 6 terms. r=
a¹ (1,-rn)
(1-r)
A.8,215
B.14,610
C.7,812
D.6,694
Can someone please help me? 100 points.
"Finally, Alicia wants to show the dog and a puppy. Write a transformation rule that shows dilating the dog to one - half it's size and moving it to the location of the smaller puppy on the graph."
The transformation rule to show dilating the dog to one-half its size and moving it to the location of the smaller puppy on the graph is:
1. Dilate the dog by a scale factor of 1/2 with respect to the center of dilation.
2. Translate the dilated dog by a vector that moves it to the location of the smaller puppy on the graph.
The mathematical expression of this rule is:
(x', y') = 1/2(x - h, y - k) + (a, b)
Luis models a can of ground coffee as a right cylinder. He measures its height as 51/1
3
in and its radius as in. Find the volume of the can in cubic inches. Round your
4
answer to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
Answer: I can’t find it please help
Step-by-step explanation:
Mark earned a 64 on his lasT science quiz
If Mark's z-score was -2.8 and the standard deviation was 10, find the mean grade on the quiz.
Step-by-step explanation:
find the inverse of the following functions. the domain and range of the iverse a) f(x) = x
there are 23 marbles, each a different color, in a bag. one of them is black. what is the probability of selecting a black marble?
Probability of selecting a black marble is 1/23.
There are a total of 23 marbles in a bag, each with a different color. Among these marbles, there is only one black marble. If one wants to find the probability of selecting a black marble from this bag, they would have to divide the number of black marbles by the total number of marbles.
The formula for probability is as follows:P (A) = number of favorable outcomes/number of possible outcomes. In this case, the probability of selecting a black marble is: 1/23.The denominator is 23 because there are 23 marbles in the bag, and the numerator is 1 because there is only one black marble among these marbles.
Thus, the probability of selecting a black marble from this bag is 1/23.
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Math Homework Due Tomorrow,PLEASE HELP.
The cards below have various rational numbers on them. Which of the following diagrams shows the numbers in correct sets?
Answer:
Looks like J is right.
Step-by-step explanation:
Because the others are not right, and J was what my calculator said the numbers belonged to as in groups.
(Brainliest please?)
There are 8 red cards, 6 blue cards, 7 purple cards, and 4 green cards in a hat.
Part A. What is the theoretical probability of drawing a red card from the hat?
Part B. In a trial, a card is drawn from the hat and then replaced 1,150 times. A red card is drawn 437 times. How much greater is the experimental probability than the theoretical probability?
Oh, wait- I figured it out hehe
Part A: The theoretical probability of drawing a red card is 0.32 or 32%.
Part B: The experimental probability of drawing a red card is 0.38 or 38%, and it is 6% greater than the theoretical probability.
Part A: The theoretical probability of drawing a red card from the hat is the number of red cards divided by the total number of cards in the hat:
[tex]P_{red}[/tex] = 8 ÷ (8 + 6 + 7 + 4)
= 8 ÷ 25
= 0.32 or 32%.
Part B: The experimental probability of drawing a red card can be calculated by dividing the number of times a red card was drawn by the total number of trials:
[tex]P_{red}[/tex] = 437 ÷ 1150
= 0.38 or 38%.
The difference between the experimental probability and the theoretical probability can be calculated as follows:
0.38 - 0.32
= 0.06 or 6%
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A penny is 19 mm wide. What is the area of the front side of the penny? Use 3.14 for π. Round to the nearest hundredth if necessary.
HELP ME QUICK PLEASE!
Answer:
≈283,39 mm^2
Step-by-step explanation:
The diameter is 19 mm, so the radius is half diameter (9,5 mm)
[tex]a = \pi \times {r}^{2} = 3.14 \times {9.5}^{2} = 3.14 \times 90.25 ≈ 283.39[/tex]
If shirts cost $16 each, and sales tax is 4.75%, what would be the total bill if you buy three shirts?
Answer:
$45.72
Step-by-step explanation:
16×3=48
48×0.0475(4.75%)=2.28. <----- tax
2.28+48=45.72
3. Some of the neighbors played a penny game. Players tossed a penny in a hole and earned that number of points. Each player tossed 3 pennies. The scores from each penny that went in a hole were added for a final score. Was it possible to get a score of 9? If so, how could it have happened?
It is not possible to get a score of 9 because 9 is an odd number.
What are numbers?
Numbers are mathematical symbols used to represent values or quantities. They are classified into different types based on their properties and can be used in different areas for counting, measuring, and solving problems.
What is meant by odd numbers?
Odd numbers are integers that are not evenly divisible by 2. They are characterized by having a remainder of 1 when divided by 2. They are expressed as 2n+1, where n is an integer. Examples are 1, 3, 5, 7, 9, etc.
Possibilities:
1.All three pennies score 1: total score is 3.
2.Two pennies score 1 and one penny scores 0: total score is 2.
3.Two pennies score 0 and one penny scores 1: total score is 1.
4.All three pennies score 0: total score is 0.
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how many simple paths of nonzero length are there in a tree with vertices, where ? (regard two simple paths as the same if they have the same edges.)
there are n(n-1)(n-2)/2 simple paths of nonzero length in a tree with n vertices, where two simple paths are regarded as the same if they have the same edges.
In a tree with n vertices, there are (n-1) edges, since a tree is a connected acyclic graph.
To count the number of simple paths of nonzero length in the tree, we can consider each vertex as a starting point for a path and count the number of possible paths from that vertex.
Starting from any vertex, there are at most (n-1) paths that can be formed by moving to any of the neighboring vertices. From each of these neighboring vertices, there are at most (n-2) paths that can be formed by moving to a new neighboring vertex (excluding the vertex that was just visited).
This process can be continued until there are no more vertices to visit. However, to avoid counting the same path twice, we should only consider paths that do not backtrack on themselves.
Therefore, the total number of simple paths of nonzero length in the tree is the sum of all simple paths that start from each vertex:
(number of paths starting from vertex 1) + (number of paths starting from vertex 2) + ... + (number of paths starting from vertex n)
Using the reasoning above, we can see that the number of paths starting from each vertex is at most (n-1) * (n-2), since each path can visit at most (n-2) additional vertices after the starting vertex, and there are at most (n-1) vertices to choose from as the next vertex on the path.
Therefore, the total number of simple paths of nonzero length in the tree is at most n(n-1)(n-2).
However, we have counted each simple path twice (once in each direction), so the actual number of distinct simple paths of nonzero length is half of this maximum value, which is:
n(n-1)(n-2)/2
So, there are n(n-1)(n-2)/2 simple paths of nonzero length in a tree with n vertices, where two simple paths are regarded as the same if they have the same edges.
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Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke’s mean score increased.
Which could be Brooke’s sixth quiz score? Select three options.
85
90
83
86
92
Answer:
90, 86, and 92 are three options
Step-by-step explanation:
There's a roughly linear relationship between the number of times a species of cricket
will chirp in one minute and the temperature outside. For a certain type of cricket,
this relationship can be expressed using the formula T = 37+0.28c, where T
represents the temperature in degrees Fahrenheit and c represents the number of
times the cricket chirps in one minute. What could the number 37 represent in the
equation?
4
How long the cricket continues to chirp.
The expected temperature in degrees Fahrenheit if the cricket has chirped 37
times per minute.
The expected temperature in degrees Fahrenheit if the cricket has chirped o
times per minute.
The change in cricket chirps per minute for each additional degree Fahrenheit. no
The correct response is: The anticipated temperature in Fahrenheit if the cricket has not yet chirped once every minute.
what is linear equation ?Each term in the algebraic equation is either a constant or the result of a constant and one variable. Y = mx + b, where x is the independent variable, m is the slope, and b is the y-intercept, is the general form of a linear equation. Several real-world phenomena, like as the link between speed and time in a moving object and the relationship between price and quantity in economics, are modeled using linear equations.
given
The correct response is: The anticipated temperature in Fahrenheit if the cricket has not yet chirped once every minute.
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fatima is 1.27m tall. charlotte is 0.89m tall lila is taller than charlotte by half the difference betweem fatimas height and charlottes height. how tall in meters is lila?
Lila's height is 0.89 + 0.19 = 1.08m.
What is height ?
Height typically refers to the measurement of an object or person from the base to the top, usually measured vertically. It is often used in reference to the physical dimension of a person or object, such as the height of a building, tree, or individual.
According to the question:
In the context of the given problem, height refers to the height of Fatima, Charlotte, and Lila.
Fatima is 1.27 meters tall, Charlotte is 0.89 meters tall, and Lila is taller than Charlotte by half the difference between Fatima's height and Charlotte's height.
The difference between Fatima's height and Charlotte's height is 1.27 - 0.89 = 0.38m.
Half of that difference is 0.38/2 = 0.19m.
So, Lila is taller than Charlotte by 0.19m.
Therefore, Lila's height is 0.89 + 0.19 = 1.08m.
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please answer!! A rectangle is 1/3 yards long and 2/3 yards wide.
What is the area of the rectangle?
Enter your answer as a fraction in simplest form by filling in the boxes
Answer:
2/9yd²
Step-by-step explanation:
We know that area is calculated by length × width, so we will do the same here. To get the area, we must multiply 1/3 by 2/3.
1/3 × 2/3 is 2/9. So, the area of the rectangle is 2/9yd². :D
What is the vertical distance between (2, 11/3)
and (2, - 4/3)?
The vertical distance between (2, 11/3) and (2, -4/3) is -5 units.
Define distance formulaThe distance formula is a mathematical equation used to find the distance between two points in a plane. It is derived from the Pythagorean theorem and is expressed as:
d = √((x₂- x₁)²+ (y₂ - y₁)²)
The distance formula can also be extended to three-dimensional space by adding an additional term to the equation.
The two points (2, 11/3) and (2, -4/3) have the same x-coordinate, which means they lie on a vertical line. To find the vertical distance between these two points, we simply subtract their y-coordinates:
Vertical distance = (y-coordinate of second point) - (y-coordinate of first point)
= (-4/3) - (11/3)
= -15/3
= -5
Therefore, the vertical distance between (2, 11/3) and (2, -4/3) is -5 units. Since this is a negative value, it means that the second point is located 5 units below the first point.
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Can y answer this question please in which number does the digit 3 have a value that is 10 times as great as the value of the digit 3 in 143,728
The answer of the given question based on the greatest value is One such number is 3,043,728.
What is Number System?A number system is a system of representing and expressing numbers in a clear, concise, and organized way. The most commonly used number system is the decimal system, which is based on the numbers 0 through 9. However, there are many other number systems, including binary, octal, hexadecimal, and more.
Each number system has a set of rules and conventions for representing numbers. For example, in the decimal system, each digit can represent a value from 0 to 9, and the position of each digit determines its value.
The digit 3 in 143,728 has a value of 3 x 1000 = 3000. To find a number in which the digit 3 has a value that is 10 times as great as this, we need to find a number in which the digit 3 has a value of 10 x 3000 = 30,000.
One such number is 3,043,728. In this number, the digit 3 appears in the hundred thousands place, which means its value is 3 x 100,000 = 300,000. This is indeed 10 times as great as the value of the digit 3 in 143,728.
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The number 137 has the same relationship to the number 143 as the numbers 398,389,392, which have a digit 3 that is 10 times greater than the number 137.
What is face and place value?A number's face value is the digit itself, while its place value is determined by its placement.
In order to answer the question, we must determine which of the following integers has a value for the digit 3 that is 10 times greater:
If we pay close attention, we can see that the number 137 has a third digit in its tens place while the number 143 has a third digit in its unit place. Additionally, there are 398,389,392, which has a digit 3 and is ten times bigger than the number 137.
These numbers will be written as follows if we now express their location and value in words:
143 = 1 × 100 + 4 × 10 + 3 × 1.
137 = 1 × 100 + 3 × 10 + 7 × 1.
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The complete question is:
In which number does the digit 3 have a value that is 10 times as great as the value of the digit 3 in 143,728? 137,982 142,398 292,389 392,097.
the length of a highway is 900. If 0.5 inch on a map represents 50 miles, what is the length of the highway on map?
Answer:
Step-by-step explanation:
We simply have to divide 900 by 50 to get us 18. Now multiply 18 by 0.5 to get an answer of 9 inches. Hope this helped!
The distance from Elena's chin to the top of her head is 150
mm in an image. For a U.S. passport photo, this
measurement needs to be between 25 mm and 35 mm.
The height of the image after being scaled down by 80% three times is 76.8mm, which is not within the required range for a U.S. passport photo.
What is scaling?Scaling is the process of increasing or decreasing the size of a picture by dividing or multiplying its dimensions. An picture is expanded when it is scaled up, and its size is decreased when it is scaled down. An picture is affected by scaling when its size and, consequently, appearance, are altered. An picture may become pixelated or fuzzy if it is scaled up or down excessively, and information may be lost if it is scaled down too much. The aspect ratio of an image—the proportion of its width to its height—can also be impacted by scaling. The picture could look stretched or squished if the aspect ratio is modified.
Given that the image is 150 mm in height.
Thus, 80% of the image is:
150mm x 0.8 = 120mm
The scaling is performed 3 times, thus:
120mm x 0.8 = 96mm
96mm x 0.8 = 76.8mm
Hence, the height of the image after being scaled down by 80% three times is 76.8mm, which is within the required range for a U.S. passport photo.
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The complete question is:
In a hospital, the number of nurses is proportional to the number of patients. Different
departments follow different rules for these proportions. The table shows the rules for a
surgical department. The graph shows the rules for a newborn department.
Which department allows more patients per nurse? Explain.
The newborn department allows more patients per nurse than the surgical department.
What is number?Number is a mathematical object used to count, measure, and label. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational numbers, irrational numbers, and complex numbers. Numbers can be represented in a variety of ways, including words, symbols, or images. Additionally, numbers are used in many different areas, including science, engineering, finance, economics, and computing.
The newborn department allows more patients per nurse than the surgical department. This is because the newborn department follows a lower nurse-to-patient ratio. The graph for the newborn department shows that for every two nurses, there are three patients, while the table for the surgical department shows that for every one nurse, there are two patients. This means that the newborn department has a ratio of 1:1.5 nurses to patients, while the surgical department has a ratio of 1:2 nurses to patients. This means that the newborn department allows more patients per nurse than the surgical department.
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The newborn department allows more patients per nurse than the surgical department.
What is number?Number is a mathematical object used to count, measure, and label. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational numbers, irrational numbers, and complex numbers. Numbers can be represented in a variety of ways, including words, symbols, or images. Additionally, numbers are used in many different areas, including science, engineering, finance, economics, and computing.
The newborn department allows more patients per nurse than the surgical department. This is because the newborn department follows a lower nurse-to-patient ratio. The graph for the newborn department shows that for every two nurses, there are three patients, while the table for the surgical department shows that for every one nurse, there are two patients. This means that the newborn department has a ratio of 1:1.5 nurses to patients, while the surgical department has a ratio of 1:2 nurses to patients. This means that the newborn department allows more patients per nurse than the surgical department.
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complete questions as follows-
a bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. a marble is drawn at random from the bag. what is the probability that the marble drawn will not be blue? responses 29 2 over 9 34 3 over 4 79 7 over 9 78
The probability of drawing a marble that is not blue is 7/9.
Probability is a measure of the likelihood or chance of a particular event or outcome occurring
There are a total of 8 + 6 + 12 + 10 = 36 marbles in the bag.
The probability of drawing a blue marble is 8/36, or 2/9.
To find the probability of not drawing a blue marble, we need to subtract the probability of drawing a blue marble from 1 (since the sum of the probabilities of all possible outcomes must equal 1).
So the probability of not drawing a blue marble is
1 - 2/9 = 7/9
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7/9
Step-by-step explanation:
you and a friend are in school and are trying to figure out where to eat. she told you that she would like to go to her favorite pizza place that is 7 miles away from her home. both of you know that her home is 8 miles away from school. approximately how far is the pizza place from the school?
After answering the prοvided questiοn, we can cοnclude that As a result, expressiοn the pizza place is abοut a mile away frοm the schοοl.
What is expressiοn ?In mathematics, an expressiοn is a grοup οf representatiοns, digits, and cοnglοmerates that resemble a statistical cοrrelatiοn οr regimen. An expressiοn can be a real number, a mutable, οr a cοmbinatiοn οf the twο. Additiοn, subtractiοn, rapid spread, divisiοn, and expοnentiatiοn are examples οf mathematical οperatοrs.
Arithmetic, mathematics, and shape all make extensive use οf expressiοns. They are used in mathematical fοrmula representatiοn, equatiοn sοlutiοn, and mathematical relatiοnship simplificatiοn.
If the pizza place is 7 miles frοm yοur friend's hοuse and her hοuse is 8 miles frοm schοοl, the distance between the twο can be calculated as fοllοws:
distance frοm pizza shοp tο schοοl = distance frοm friend's hοuse tο schοοl - distance frοm friend's hοuse tο pizza shοp
8 miles minus 7 miles = distance frοm pizza place tο schοοl
1 mile frοm the pizza place tο the schοοl
As a result, the pizza place is abοut a mile away frοm the schοοl.
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Line segment AB in the coordinate plane has endpoints with coordinates A (1,5) and B (9,17). Which of the following is true?
The correct option- The perpendicular bisector of AB has the slope -1/3.
Explain about the slope of line?The difference between the change in y-values and the change in x-values is known as the slope of a line. This figure represents the slope of a line.
A quantity called the slope of a line is used to quantify how steep a line is. This number may be zero, positive, or negative. Moreover, it may be unreasonable or rational.Any two lines with the same slope are said to be parallel. When a line is rotated 90 degrees, it becomes perpendicular and becomes parallel. Four 90 degree angles result from the intersection of two perpendicular lines.Formula for slope m = (y2 - y1)/(x2 - x1)
Line segment AB coordinates :
A (1,5) and B (9,17).
Slope m1 = (17 - 5)/(9 - 5)
m1 = 12/4
m1 = 3
The line perpendicular to AB.
Let the slope of m2.
The relation between the slopes of perpendicular lines:
m1 x m2 = -1
3 x m2 = -1
m2 = -1/3.
Thus, the slope of the line perpendicular to the given line AB is found as: -1/3.
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Complete question:
AB in the coordinate plane has endpoints with coordinates A (1,5) and B (9,17). Which of the following is true?
The perpendicular bisector of AB has slope 3/2.
The perpendicular bisector of AB has slope -2/3.
The perpendicular bisector of AB has slope -2/3.
The perpendicular bisector of AB has slope -1/3.