Answers
Option D. The most appropriate comparison for the spread is that the interquartile range for town A, 15 degrees is less than that of B.
How to solve for the interquartile rangeThe inter quartile is solved as Q3 - Q1
This is seen as
For Town A,
30 - 15 = 15 degrees
For town B
40 - 20 = 20 degrees.
Hence we can see that 15 is less than 20, so town A is less than town B. The answer is option D.
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Related Questions
Katie would go to the park everyday and each day she recorded how many dogs were in the park. Day
1: there was 4 dogs, Day 2: 3 dogs, Day 3: 6 dogs, Day 4: 1 dog and Day 5: 8 dogs. Over the next 3 weeks the same amount of dogs turned up each day. How many dogs did she see over the 3 weeks?
Answers
Answer:
Katie recorded a total of 4 + 3 + 6 + 1 + 8 = 22 dogs over the first 5 days. If the same number of dogs turned up each day for the next 3 weeks, then she would have seen the same number of dogs per day for an additional 21 days (3 weeks * 7 days/week = 21 days). So in total, over the 3 weeks, she would have seen 22 dogs/day * 21 days = 462 dogs.
Step-by-step explanation:
Suppose a supermarket wants to sell eggs individually. Is there a price the supermarket can charge per egg that is between the prices per egg for the two different sized cartons?
Answers
The maximum price per egg that the supermarket may charge is $0.245 per egg, which is the difference between the pricing per egg for the 2 distinct cartons.
What do you meant by the term unitary method?The unitary approach involves calculating the price of a specific unit, from which we can calculate the values of the necessary number of units.The answer to the query is
The following details are available to us:
A carton of 12 eggs costs $3.00.18 eggs in such a different carton cost $4.32.We'll first calculate the cost per egg for each of the two different-sized cartons in order to determine the cost per egg that lies between the two costs.
We are aware that the cost of one product is determined by dividing the total cost by the quantity of products.
12 eggs cost in a carton = $3.001 eggs cost = $ (3.00/12) = $0.2412 eggs cost in a second carton = $4.321 eggs cost = $(4.32/18) = $0.24The price of an egg between 0.24 as well as 0.25 must now be determined.
Note that there is a 0.01 difference between the two fees.
To precisely determine the middle charge, we will split it by two:
0.01/2 = 0.005
This can be added to $0.24 or subtracted from $0.25.
$0.24 + $0.005 = $0.245
So, $0.245 is the maximum price the supermarket can charge per egg.
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The complete question is-
A carton of 12 eggs costs $3.00. A carton of 18 eggs costs $4.32. Suppose a supermarket wants to sell the eggs individually. Is there a price the supermarket can charge per egg that is between the prices per egg for the two different-sized cartons? Explain
Jacob and his children went into a grocery store where they sell apples for $1 each
and peaches for $0.50 each. Jacob has $8.50 to spend and must buy at least 10
apples and peaches altogether. Also, he must buy no more than 8 peaches. If a
represents the number of apples purchased and y represents the number of peaches
purchased, write and solve a system of inequalities graphically and determine one
possible solution.
Answers
Based on the graph, a possible solution for the system of inequalities is 2.75 and 1.
The number of apples purchased is equal to 5 apples.The number of peaches purchased is equal to 6 peaches.How to write and solve the system of inequalities graphically?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of apples purchased and number of peaches purchased, and then translate the word problem into algebraic equation as follows:
Let the variable a represent the number of apples purchased.Let the variable y represent the number of peaches purchased.Since Jacob and his children went into a grocery store where they sell apples to purchase at least 10 apples and peaches altogether, the three (3) linear inequalities that are required to model this situation include the following:
x + y ≥ 10
x + 0.5y ≤ 8.5
y ≤ 8
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How to get good grades in grade 7
Answers
Answer:
Use brainly. or pay better attention in class.
Step-by-step explanation:
Solve this system of equations by graphing. First graph the equations, and then type the solution. y= – x–7 y= 2 3 x–2
Answers
Answer:
ez
Step-by-step explanation:
(x,y)=(16/185,-2/185)
Given the right triangle ABC with Altitude BD drawn to hypotenuse AC.If AD=11 and BD=33 What is the length of DC
Answers
Answer:
DC = 99
Step-by-step explanation:
BD perpendicular AC
AD/BD = BD/DC
=> DC =DB^2/AD
=33^2/11=99
{calculate}
A coffee shop sells a mug for $8.95. Each refill costs $1.50. Last month Rose spent $26.75 on a mug and refills. How many refills did she get?
Answers
Rose gets 12 refills by a coffee shop.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A coffee shop sells a mug for $8.95. Each refill costs $1.50.
And, Last month Rose spent $26.75 on a mug and refills.
Let number of refills she get = x
So, We can formulate;
⇒ $8.95 + $1.50x = $26.75
⇒ 8.95 + 1.50x = 26.75
⇒ 1.50x = 26.75 - 8.95
⇒ 1.50x = 17.80
⇒ x = 17.8 / 1.5
⇒ x = 12
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Combine like terms 3x-7x=
Answers
Answer:
-4x
Step-by-step explanation:
3-7=-4 just add a x
Think About the Process van purchased a DVD player on sale. The original selling price was $175.80. The sale price was $141.27. What is the first step in finding the percent markdown? Find the percent markdown.
Answers
First step in finding the percent markdown is to find the percentage change in sales price.
How to find the percentage change in sales priceIn order to find the percentage change in sales price, use the percent change equation.
(New - Old)/(Old) * 100 = % Change
Now input 141.27 for the New price and 175.80 for the Old price.
(141.27 - 175.80)/(175.80) * 100 = % Change
-34.53/175.80 * 100 = % Change
-0.2* 100 = % Change
20 = % Change
Hence, the percentage change in sales price is 20%
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Find all solutions of the equation cos x (2 sin x + 1) = 0. on the
interval [0, 27).
The answers are A, B, C and D where 0 < A < B
for T.
A =
B =
C=
D =
Answers
Answer:
A = 0,
B = π/2,
C = 3π/2,
D = 2π
Step-by-step explanation:
(7+3) x 4 ÷ 2 - 5 x 6
Answers
Answer:
The order of operations (PEMDAS) should be followed to solve mathematical expressions: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
So the solution for (7+3) x 4 ÷ 2 - 5 x 6
= (10) x 4 ÷ 2 - 5 x 6
= 40 ÷ 2 - 5 x 6
= 20 - 5 x 6
= 20 - 30
= -10
So the solution is -10
Answer:
7 + 3 = 10
10 * 4 = 40
40 / 2 = 20
20 - 5 = 15
15 * 6 = 90!
Step-by-step explanation:
Hope it helps ! =D
Write equations for the horizontal and vertical lines passing through the point (6, 5).
Answers
x=8 is the equation for a vertical line passing through this place and y=7 is the equation for a horizontal line traveling through this place.
what is equation ?It is thought that a number's simplest form is represented by its smallest equivalent fraction. finding the simplest form: what to do. For shared factors, look into the numerator and denominator. Examine a fractional integer to determine if it is a prime number. An equation seems to be a statement that has nearly identical sides and an equality sign in the middle. In the general form of any equation, the degrees of all the variables are listed in descending order. The common representation of a mathematical expression is an x + b = 0. x + b y + c = 0 is the general form of a two-variable linear equation (or something similar). Identity or conditional equations are the two categories under which equations fall. An identity holds true regardless of how the variables are valued.
given
The value of x, in this case 8 for a vertical line, is constant. For whatever value of y, this will hold true. In light of this,
x=8 is the equation for a vertical line passing through this place.
The value of y, in this case 7, will also never change for a horizontal line. For whatever value of x, this will hold true. In light of this,
y=7 is the equation for a horizontal line traveling through this place.
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If it now today, then iwill wear my glove. If i weaar my glove , my finger will get itchy
Answers
I understand your dilemma. I suggest that you look for a glove that is made of a breathable material. Also, make sure that the glove fits properly so that there is no tightness or restriction of movement. Lastly, make sure to wear the glove for brief periods at first and gradually increase the time as your skin gets used to it.
1. Look for a glove made of a breathable material: Breathable materials allow for air circulation and can help prevent excess sweat and irritation.
2. Make sure the glove fits properly: It should not be too tight or too loose.
3. Wear the glove for brief periods at first: This will help your skin adjust to the glove and prevent iching
4. Gradually increase the time: Once your skin gets used to the glove, you can start wearing it for longer periods of time. I understand your dilemma. I suggest that you look for a glove that is made of a breathable material. Also, make sure that the glove fits properly so that there is no tightness or restriction of movement. Lastly, make sure to wear the glove for brief periods at first and gradually increase the time as your skin gets used to it.
the complete question is : If it now today, then iwill wear my glove. If i weaar my glove , my finger will get itchy. So i will try to avoid wearing it.
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How do you find the preimage of a function in Class 11?
Answers
A relation R is a subset of the Cartesian product. Or simply, a bunch of points (ordered pairs). In other words, the relation between the two sets is defined as the collection of the ordered pair, in which the ordered pair is formed by the object from each set.
a group of some elements of the input set which are passed to a function to obtain some elements of the output set. It is the inverse of the Image. It is denoted as;
f: X → Y.
N be the set of Natural numbers and the relation R be defined as;
R = {(a ,b) : b=a2, a ,b ∈ N}. State whether R is a relation function or not.
From the relation R = {(a ,b) : b=a2, a ,b ∈ N}, we can see for every value of natural number, their is only one image. For example, if a=1 then b =1, if a=2 then b=4 and so on.
Therefore, R is a relation function here.
f:A→B, and D⊆B, the preimage D of under f is defined as
[tex]f^-1[/tex](D)={x ∈ A∣ f(x)∈D}.(5.4.5)
Hence, [tex]f^-1[/tex](D) is the set of elements in the domain whose images are in C. The symbol [tex]f^-1[/tex](D) is also pronounced as “f inverse of D.”
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please help please i'll give all of my points
Question 1(Multiple Choice Worth 2 points)
(Ratios LC)
Hallie and Mattie donated blue jeans to the clothing drive. Hallie donated 3 pairs of blue jeans. Mattie donated 6 pairs of blue jeans. Write a ratio to represent the relationship between Hallie's donation of jeans and Mattie's donation of jeans.
3:15
3 over 9
1:2
6 to 18
Question 2(Multiple Choice Worth 2 points)
(Ratios MC)
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average?
Tasha, because she has the lowest ratio since 0.9 > 0.8
Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30
Jana, because she has the lowest ratio since 0.9 > 0.8
Jana, because she has the highest ratio since 27 over 30 is greater than 24 over 30
Question 3(Multiple Choice Worth 2 points)
(Ratios MC)
Two students created paintings for their art class. The canvas size used for each is shown.
2 rectangles: Rectangle 1 has a length of 9 feet and width of 6 feet. Rectangle 2 has a length of 3 feet and width of 2 feet.
Which statement is true about the ratios comparing the width and length of each painting?
The paintings' width to length ratios are equal because the ratio 9 to 6 is equal to the ratio 2 to 3.
The paintings' width to length ratios are different because the ratio 3 to 2 is not equal to 9 to 6.
The paintings' width to length ratios are equal because the ratio 6 to 9 is equal to the ratio 2 to 3.
The paintings' width to length ratios are different because the ratio 6 to 9 is not equal to 2 to 3.
Question 4(Multiple Choice Worth 2 points)
(Ratios MC)
The table below shows Addison's novel collection on her bookshelf.
Type of Novel Number of Books
Nonfiction 2
Mystery 4
Fiction 5
What is the ratio of nonfiction novels to all novels?
2 to 9
2:11
5 over 11
1 to 2
Question 5(Multiple Choice Worth 2 points)
(Ratios MC)
The Top-Notch Middle School had athletes from all the grades playing on a sports team.
6th grade 7th grade 8th grade
Basketball 2 4 7
Baseball 1 6 5
Soccer 7 4 4
Football 8 15 10
Explain what the ratio 8:73 represents.
The ratio 8:73 represents the ratio of total athletes to 7th grade football players.
The ratio 8:73 represents the ratio of 6th grade football players to total athletes.
The ratio 8:73 represents the ratio of 8th grade baseball players to total athletes.
The ratio 8:73 represents the ratio of 6th grade athletes to total athletes.
Question 6(Multiple Choice Worth 2 points)
(Ratios MC)
Kim and her friends watched the server making smoothies. The table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.
Mangos Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz
Which statement is correct based on the data?
The ratio of smoothie size to mangos used for Kim is 1:8, and the ratio of smoothie size to mangos used for Bri is 3:24.
The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim.
The ratio of smoothie size to mangos used for Bri is 64:3, and the ratio of smoothie size to mangos used for Angela is 64:4.
Question 7(Multiple Choice Worth 2 points)
(Ratios MC)
Ms. Michaels surveyed her class on whether they preferred free time at the beginning of class or at the end of class. If the ratio of students who prefer free time at the beginning of class to students who prefer free time at the end of class is 13 over 17, what does the ratio 13 over 17 represent?
17 students prefer free time at the beginning of class, and 13 students prefer free time at the end of class.
17 students prefer free time at the beginning of class, and 30 students prefer free time at the end of class.
30 students prefer free time at the beginning of class, and 13 students prefer free time at the end of class.
13 students prefer free time at the beginning of class, and 17 students prefer free time at the end of class.
Answers
The ratio to describe the number of jeans shared by Hallie and Mattie is obtained as 2 : 3.
What is the ratio of two numbers?The ratio of two numbers a and b can be written as a : b = a/b.
The ratio of two quantities is the unit rate of one quantity with respect to the other.
Here,
The number of jeans donated by Hallie and Mattie are given as 4 and 6 respectively.
It can be written in terms of ratio as 4 : 6.
It can be simplified as,
⇒ 4 : 6
⇒ 4/6
⇒2/3
⇒ 2 : 3
Hence, the number of jeans donated can be written in terms of ratio as 2 : 3.
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what is the probability that this dancer raised less than £10
Answers
The probability that this dancer raised less than £10 is; 19/30
How to find the probability?Probability is defined as the number of successful outcomes divided by the total number of outcomes. Thus;
Probability = number of successful outcomes/total number of outcomes
From the attached table, we see that;
£4.99 of less: Number of dancers are 15
£5 to £9.99: Number of dancers are 23
£10 to £14.99: Number of dancers are 12
£15 to £19.99: Number of dancers are 7
£20 to £24.99: Number of dancers are 3
Thus, we see that the total number of dancers = 15 + 23 + 12 + 7 + 3 = 60 dancers.
If a dancer is chosen at random, the probability that the dancer raised less than £10 = (23 + 15)/60 = 38/60 = 19/30
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Complete question is;
A group of dancers raised some money for a charity here is some information about the money raised
One of the dancers is chosen at random to give the money raised to the charity
What is the probability that this dancer raised less then £10
If the measure of arc CE is 9x+5 degrees the measure of arc ED is 4x+1 degrees and the measure of arc CD Is 101 degrees what is the value of x? Round your answer to the nearest hundred
Answers
From the given Circle, the value of x = 19.46.
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
A straight angle is 90° since a circle has 360 equal degrees. We'll just take into account angles between 0° and 360° for the time being; however, we'll take into account angles higher than 360° and negative angles later, in the section on trigonometric functions.
Given,
the measure of arc CE = 9x + 5
measure of the arc ED = 4x + 1
measure of the arc CD = 101
Total measure of the circle is = 360
⇒ 9x + 5 + 4x + 1 + 101 = 360
⇒ 13x + 107 = 360
⇒ 13x = 360 - 107
⇒ 13x = 253
⇒ x = 19.46
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A frozen yogurt shop has a combination of 150 small and medium sized bowls on their counter. Each small bowl holds 4 oz and each medium bowl holds 6 oz. If the bowls on the counter will hold a total of 764 oz find the number of small and medium sized bowls on the counter
Answers
The number of small sized bowls on the counter = 68 bowls
The number of medium sized bowls on the counter = 82 bowls
What is an equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
From the data given,
Let the number of small bowls on the counter be = x
Let the number of medium bowls on the counter be = y
The total number of bowls is = 150
So , the equation will be
x + y = 150 be equation (1)
The amount the small bowl can hold = 4 ounces
The amount the medium bowl can hold = 6 ounces
The total amount of all the bowls on the counter = 764 ounces
So , the equation will be
4x + 6y = 764 be equation (2)
Now , on simplifying the equation (1) and equation (2) ,
Multiply equation (1) by 4 , we get
4x + 4y = 600 be equation (3)
Subtracting equation (3) from equation (2) , we get
2y = 164
Divide by 2 on both sides , we get
y = 82
Therefore the number of medium sized bowl is 82 bowls
Substituting the value of y in equation (1) , we get
x + y = 150
x + 82 = 150
Subtracting 82 on both sides , we get
x = 68
Therefore , the number of small sized bowl is 68 bowls
Hence,
The number of small sized bowls on the counter = 68 bowls
The number of medium sized bowls on the counter = 82 bowls
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choices for #1
dividing figure into a square and a triangle
dividing figure into a rectangle and a triangle
dividing figure into two triangles
choices for #2
the total area of the figure is 98.2 square units
the total area of the figure is 80.0 square units
the total area of the figure is 105.0 square units
round to the nearest tenths.
Answers
Therefore ,the area of the rectangle will be A = 121 cm square after answering the offered question.
Rectangle: What is it?In Euclidean plane geometry, a rectangle is a polygon with four right angles. It might also be explained as follows: an equiangular quadrilateral is one in which all of its degrees are equal. Another possibility for the parallelogram is a straight angle. Four of the sides of a square are of identical length. Four 90 ° apex and equal adjacent sides make up a rectangle-shaped quadrilateral. This leads to the term "equirectangular rectangle" occasionally being used to describe it. A rectangle is also referred to as a parallelogram due to the equal and parallel lengths of its opposite sides.
Here,
Given : we have been given,
B is 11 cm long and L is 11 cm.
A = L X B = 11 X 11 = 121 cm sq, thus.
Therefore ,the area of the rectangles will be A = 121 cm square after answering the offered question.
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Evaluate 3a-c if a=-10 and c=2
Answers
Answer:
Okay, so if a = -10 and c=2 then the equation will now be translated to:
3(-10) - 2
We can solve this by multiplying 3 by -10 and then subtracting you answer by 2.
3 time -10 = -30
-30 - 2 = -32
Step-by-step explanation:
Hope it helps! =D
How do you find the exponential function of a data set?
Answers
An exponential function is a mathematical function of the form f(x) = a×bˣ, where a and b are constants and x is the input variable. To find the exponential function of a data set, you can use the method of least squares.
This method finds the best-fitting exponential function for a given set of data points by minimizing the sum of the squares of the differences between the data points and the function.
The first step in finding the exponential function of a data set is to plot the data points on a graph. Next, you need to re-arrange the exponential function into the form y = a×bˣ, where y is the dependent variable and x is the independent variable.
Then you can use the method of least squares to find the values of a and b that best fit the data. The value of a represents the y-intercept of the function, and the value of b represents the growth rate or decay rate of the function.
Once you have found the values of a and b, you can use the exponential function to make predictions about the data set. It is also possible to use software packages like R or Python to do this process.
In conclusion, finding the exponential function of a data set involves using the method of least squares to find the best-fitting exponential function for a given set of data points.
This is typically done by plotting the data points, re-arranging the exponential function, and using the method of least squares to find the values of a and b that best fit the data. The function can then be used to make predictions about the data set.
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What are types of exponents?
Answers
Exponents can be classified into four types: integer, rational, irrational, and complex exponents. They represent repeated multiplication, roots, and advanced concepts such as complex numbers.
Integer exponents are the most common type of exponents and include positive integers, negative integers, and zero. They are used to represent repeated multiplication, for example, 2^3 represents 2 multiplied by itself 3 times.Rational exponents are the exponents which can be written in the form of a fraction, for example, (2^(1/3)) represent the cube root of 2.Irrational exponents, as the name implies, are exponents that are irrational numbers, for example, 2^(1.23).Complex exponents are the exponents which are complex numbers, for example, 2^(3+4i). These exponents are less common and typically seen in advanced math and engineering.Learn more about Types of Exponents here:
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What are the 4 rules for multiplying integers?
Answers
A negative number is created by multiplying a positive number by a negative number. A negative number is created by multiplying a negative number by a positive number. A positive number is created by multiplying two negative numbers. Any integer divided by zero results in zero.
What is an integer ?All whole numbers and negative numbers are considered integers.
This means that if we combine negative numbers with whole numbers, a collection of integers results.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 0, 1, 5, 8, 97, and 3,043. Z is a representation of a collection of integers.
A straight line of numbers is shown visually as a number line.
This line is used to compare integers that are spaced equally apart on an infinite line that extends horizontally on both sides.
The collection of integers can be shown on a number line much like other sets of numbers.
Hence, A negative number is created by multiplying a positive number by a negative number. A negative number is created by multiplying a negative number by a positive number. A positive number is created by multiplying two negative numbers. Any integer divided by zero results in zero.
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enlarge shape q by a scale factor of -1/2 around the centre point (0,0
Answers
The new coordinates of the point in the transformed shape would be (-1/2x, -1/2y).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
A scale factor of -1/2 around the center point (0,0) would reflect the shape across the origin and also shrink it by a factor of 1/2.
The transformation can be represented by the matrix:
[-1/2 0]
[ 0 -1/2]
This matrix would be applied to the coordinates of each point in the shape to obtain the new coordinates of the transformed shape.
So, if a point in the shape had coordinates (x, y), the new coordinates of the point in the transformed shape would be (-1/2x, -1/2y).
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The question seems to be incomplete the correct question would be:
Enlarge shape q by a scale factor of -1/2 around the center point (0,0). if a point in the shape had coordinates (x, y), what are the new coordinates?
Jason bought a total of 7 post-cards for $1.80. If the small postcards cost 20c each and the large ones cost 30c each, how many postcards of each size did he buy
Answers
Answer:
3 small postcards; 4 large postcards
I know this. Hope it helps :)
Answer:
4 large post cards and 3 small ones
Which of the following is a solution of the linear equation 3x 2y 5?
Answers
The general solution of the linear equation 3x + 2y = 5 is y = (-3/2)x + 5/2.
To find the solution of the linear equation 3x + 2y = 5, we can use the method of isolating one variable and then substituting that value back into the equation.
3x + 2y = 5
First we can try to isolate y:
2y = -3x + 5
then we divide by 2
y = -(3/2)x + 5/2
So one solution of the equation is (x,y) = (-(3/2)x + 5/2)
Therefore, the solution of the linear equation 3x + 2y = 5 is y = -(3/2)x + 5/2.
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Kelly is flying a kite to which the angle of elevation is 70 degrees. The string of the kite is 65 meters long. How far is the kite above the ground?
Answers
Kite is 61.08 meters far from the ground.
What is angle of elevation?The angle of elevation in math is "the angle formed between the horizontal line and the line of sight when an observer looks upwards is known as an angle of elevation". It is always at a height that is greater than the height of the observer.
Given,
Angle of elevation = 70°
Length of string = 65 meters
Distance between kite and ground = AC = ?
By the figure
Sin70° = AC/AB
0.9397 = AC/65
AC = 65×0.9397
AC = 61.0805 meters
Distance between kite and ground = 61.08 meters
Hence, ground and kite are 61.08 meters away from each other.
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whats the intercepts of 2x+y=1 and x-2y=8
Answers
Answer:
Step-by-step explanation:
I will assume you want the y-axis intercepts
arrange each equation into the form y = mx + b <==b is y-axis intercept
2x+y =1
y = -2x+1 <==== y axis intercept = 1
x -2y = 8
2y = x-8
y = 1/2x -4 <==== - 4 is the y axis intercept
Another way to find the y-axis intercept is to realize this occurs when x = 0
put x = 0 into the equations to find the intercept value
2x+y =1
2(0) + y = 1
y =1 <=====intercept
x-2y = 8
0 - 2y = 8
y = -4 <=====intercept
To find the where the two lines intersect, equate them
-2x+1 = 1/2x-4
5 = 2.5x
x = 2 then y = -2x+1 = -3 point of intersection (2,-3)
Lisa is a waitress at the diner in town. She earns a daily wage of $60, plus tips that are equal to 20% of the total cost of the dinners she serves. What was the total cost of the dinners she served if she earned $275 on Friday?
Answers
$1075 is the total cost of the dinners she served if she earned $275 on Friday
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Lisa earns a daily wage of $60,
Tips that are equal to 20% of the total cost of the dinners she serves
We can write this as 60+20/100x.
The total cost of the dinners she served if she earned $275 on Friday
is given by
275=60+0.2x
Subtract 60 on both sides
275-60=0.2x
215=0.2x
Divide both sides by 0.2
215/0.2=x
1075=x
Hence, $1075 is the total cost of the dinners she served if she earned $275 on Friday
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What is the rule of 0 1 1 2 3 5 8?
Answers
The rule of the sequence 0 1 1 2 3 5 8 is that each term is obtained by adding the previous two terms.
The sequence 0 1 1 2 3 5 8 is a famous example of the Fibonacci sequence. The Fibonacci sequence is a sequence of numbers in which each term is the sum of the two preceding terms. In this case, the first two terms of the sequence are 0 and 1, and the rest of the terms are obtained by adding the previous two terms.
It's also possible to express the rule of the Fibonacci sequence by using the formula, F(n) = F(n-1) + F(n-2) where F(n) is the nth term of the sequence.
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