Complete the problems about graphing related linear equations.
Elias reads 15 pages of his book each day. The graph of p = 15d shows
how many pages Elias reads in d days.
Before Elias starts reading, Jaime has already read 20 pages of the same
book. Jaime then reads 10 pages each day. The equation p = 10d + 20
tells how many pages Jaime has read since Elias started reading.
a. Graph Jaime's equation in the same coordinate plane as Elias's graph.
What point is on both lines?
b. On what day have both Elias and Jaime read the same number of
pages? How many pages have they read on that day? Use your answer
to problem 1a to explain.
Answers
a) The point that is on both lines is given as follows: (4, 60).
b) They will have read the same number of pages on the 4th day, when they will have read 60 pages.
How to obtain the solution to the system of equations?We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.
The equations for this problem are given as follows:
p = 15d.p = 10d + 20.Then the ordered pair representing the solution is given as follows:
(5,60).
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Related Questions
What is A divided by 6 is equal to a whole number?
Answers
Answer:
4
Step-by-step explanation:
I think and I hope I got it right sorry if I didnt
The answer I think is right is a=24
a/6=?
24/6=4
which are the top five arms exporting states in the world?
Answers
According to the Institute, the top five exporters from 2014 to 2018 were the United States, Russia, France, Germany and China, while the top five importers were Saudi Arabia, India, Egypt, Australia and Algeria. Many developed countries have domestic munitions industries to supply their armies.
The military industry, also known as defense industry, defense industry, military industry, or arms trade, is a global industry that manufactures and sells weapons and military technology. Companies in the public and private sectors conduct research and development, design, manufacture and maintenance of military equipment, equipment and facilities. Arms industry products include weapons, ammunition, weapons platforms, military communications, and other electronic products. The military industry also provides other logistical and operational support.
This was a 4.6% increase over 2017 sales, marking the fourth consecutive year of Top 100 firearm sales growth. In 2004, more than $30 billion was spent on international arms trade (this % figure does not include domestic arms sales). According to the Institute, the top five exporters from 2014-2018 were the United States, Russia, France, Germany and China, while the top five importers were Saudi Arabia, India, Egypt, Australia and Algeria.
Many developed countries have domestic munitions industries to supply their armed forces. The Small Arms Survey estimates that there are 875 million small arms in circulation worldwide, manufactured by more than 1,000 companies in approximately 100 countries.
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Find the measure of x X 52 12
Round to the nearest Hundredth
Answers
Answer:
Step-by-step explanation:
Step 1: Draw a line from the vertex of the angle to the given point on the x-axis.
Step 2: Draw a line from the given point to the point on the y-axis where the angle intersects the y-axis.
Step 3: Calculate the length of the line segment created in Step 2. This will be x.
Step 4: Calculate the measure of angle 0 by using the given measure of angle and the length of x. This will be 0 degrees.
A teacher is monitoring how often students visit the website of the course during the day. She finds the following probability distribution. Find the expected number of visits to the course website.visits(x) 0 1 2 3probability 0.45 0.35 0.15 0.050.750.250.800.85
Answers
The expected number of visits to the course website.visits(x) 0 1 23probability 0.35.
What is probability?Probability is a mathematical study of outcomes in uncertain situation it is used to describe the like would have an event occurring and it can be expressed as the number between 0 to 1 probability is used to quantify the uncertainty associated with any given event it helps us understand how likely it is that something will happen and it can be used to make prediction about futures even probability theory is it of modern statistic and is widely used in fields such as finance economics and science.
Therefore, the probability of rolling at least one 3 when rolling two six-sided dice is 2 × 1/6, or 33.3%. This is because the probability of rolling a 3 on one die is independent of the probability of rolling a 3 on the other die. This means that the probability of rolling at least one 3 is equal to the sum of the probabilities of rolling a 3 on each of the two dice (1/6 + 1/6 = 2/6). As a result, the probability of rolling at least one 3 when rolling two six-sided dice is 33.3%.
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Explain what the vertical line test is and how it is used.
What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
Answers
Answer:
Look below
Step-by-step explanation:
The domain of any function is the x-value in an ordered pair.
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
50% of the machines at Bud's Suds are washing machines. If there are 10 washing machines, how many machines are at Bud's Suds in all?
Answers
If 50% of the machines at Bud's Suds are washing machines and there are 10 washing machines, then the total number of machines is:
10 / 0.5 = 20
So there are 20 machines in total at Bud's Suds.
Riley's monthly take-home pay is $3,525. What is his safe debt load? *
Answers
The safe debt load is $352 - $704
What is safe debt load?The general rule of thumb, a debt/income ratio of 10% or less is outstanding. If it's between 10 - 20%, your credit is good, and you can probably borrow more. But once you hit 20% or above, it's time to take a serious look at your debt load.
This means that safe debit load is the maximum debt a person or an organization can owe.
It ranges from 10% to 20%
10/100 × 3525 = $352.5
20/100 × 352.5 = $704
This means that any debt that will take more than $704 from Riley's earnings is no more a safe debt load.
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If your good at Geometric Congruence, please answer the questions below in the photos. Please help, thank you.
Answers
Answer:
X=22 because of the symmetrical angle so 158+158=316 and one full angle = 360 then 360-316=44 and there are two sides so 44÷2=22
Let A be a matrix with linearly independent columns. Which one of these statements must be true?A. The equation Ax=b never has a solution for all b.B. The equation Ax=b always has a solution for all b.C. The equation Ax=b has a solution for all b precisely when it has more columns than rows.D. There is no easy way to tell if Ax=b has a solution for all b.E. The equation Ax=b has a solution for all b precisely when it has more rows than columns.F. The equation Ax=b has a solution for all b precisely when it is a square matrix.G. none of the above
Answers
The correct statement is B. For all b, the equation Ax=b has a solution.
Since the columns of A are linearly independent, then the matrix A has full rank, and its column space is equal to the entire vector space in which it resides. This means that for any given vector b, we can find a linear combination of the columns of A that is equal to b, and therefore the equation Ax=b has a solution for all b.
Option A is incorrect, as there may be certain b vectors for which Ax=b has a solution.
Option C is incorrect, as the equation Ax=b may have a solution even when A has fewer columns than rows.
Option D is incorrect, as we can determine whether or not the equation Ax=b has a solution for all b by checking the rank of A.
Option E is incorrect, as the equation Ax=b may have a solution even when A has more columns than rows.
Option F is incorrect, as a square matrix may or may not have linearly independent columns, and therefore may or may not have a solution for all b.
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Which statement is correct about the F distribution? A) Cannot be negative B) Cannot be positive C) Is the same as the t distribution D) Is the same as the z distribution
Answers
Option A) "Cannot be negative" is a correct statement about the F distribution. The F distribution is a probability distribution that is used in statistical hypothesis testing to compare the variances of two populations.
The assertion "cannot be positive" about the F distribution is erroneous. The F distribution can only accept positive values and cannot accept negative values; however, it can accept values greater than zero.
"Is the same as the t distribution" is an error. When the sample size is small or the population standard deviation is unknown, the t distribution is employed for testing hypotheses regarding the population mean.
"Is the same as the z distribution" is similarly erroneous. When the population standard deviation is known and the sample size is large, the z distribution is employed as a probability distribution.
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Find the area of the shaded region. Round to the nearest square unit when applicable. Show appropriate work. formules, and substitutions.
Answers
The areas of the composite figures are listed below:
516 55π cm² 96 m² (29.5π + 77) m² 58 ft² 588 cm²How to determine the areas of composite figures
In this problem we need to determine the areas of composite figures, which are the result of adding and subtracting geometric figures, whose area formulas are listed below:
Rectangle
A = b · h
Triangle
A = 0.5 · b · h
Circle
A = π · r²
Semicircle
A = 0.5π · r²
Quarter of a circle
A = 0.25π · r²
Square
A = l²
Where:
b - Baseh - Heightl - Side lengthr - RadiusA - AreaNow we proceed to determine the area of each figure:
Area 1
A = 30 · 20 - 6 · 14
A = 600 - 84
A = 516
Area 2
A = π · (8 cm)² - π · (3 cm)²
A = (64 - 9) · π cm²
A = 55π cm²
Area 3
A = (14 m)² - 4 · (5 m)²
A = 196 m² - 100 m²
A = 96 m²
Area 4
A = 0.5π · (7 m)² + 0.5 · (14 m) · (11 m)
A = 29.5π m² + 77 m²
A = (29.5π + 77) m²
Area 5
A = (7 ft) · (10 ft) + (3 ft) · (4 ft)
A = 70 ft² - 12 ft²
A = 58 ft²
Area 6
A = (28 cm)² - 4 · 0.25π · (14 cm)²
A = 784 cm² - 196π cm²
A = 588 cm²
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When you create a dot plot, you do which of these operations? Select all that apply.
Multiple select question.
Add a vertical axis showing frequency of observations.
Connect adjacent dots to create a polygon.
Place a dot along a horizontal scale for each observation.
"Pile up" dots that are too close to show separately.
Answers
The operations to create a dot plot includes A,C and D.
What Exactly Is a Dot Plot?
A dot plot, also known as a strip plot or dot chart, is a simple type of data visualisation in which data points are represented as dots on a graph with x and y axes. These charts are used to graphically represent certain data patterns or groups. The most well-known dot plot is perhaps the Federal Reserve's quarterly interest rate predictions.
Now,
As A dot plot is made up of data points that are represented as dots on a graph with an x- and y-axis. Dot plots are often set up with one axis representing the range of values or categories along which the data points are categorised and a second axis representing the number of data points in each category.
Hence,
The operations to create a dot plot includes A,C and D.
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Use the subtraction property of equality to write 3 equations that have the same solution of x=12
Answers
The equations are x - 5 = 7, x - 7 = 5 and x - 4 = 8
How to determine the equationsThe solution to the equation is given as
x = 12
The subtraction property of equality states that if we subtract the same number from both sides of an equation, the equation remains true.
Using the above as a guide, we have the following:
x - 4 = 12 - 4 (subtract 4 from both sides)x - 5 = 12 - 5 (subtract 5 from both sides)x - 7 = 12 - 7 (subtract 7 from both sides)Each of these equations is equivalent to x = 12, since we have simply subtracted the same value from both sides of the equation.
Hence, the solution to each of these equations is x = 12.
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if 5 equals 649 and 1 equals 151 what does 2 equal___
Answers
As required to be determined in the task content, the number 2 in this scenario equal; 275.5.
What is the number 2 equal to?It follows from the task content that the equivalent of the number 2 according to the described context is to be determined.
Since 5 equals 649 and 1 equals 151, let 2 be equal to x;
Therefore, by interpolation;
(x - 151) / (649 - 151) = (2 - 1) / (5 - 1)
4x - 604 = 498
4x = 604 + 498
4x = 1102
x = 275.5
On this note, it follows that the number 2 equals; 275.5.
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Turn the (a) Are they taking the test? (b) Write a letter. a lette (c) Don't make a noise. (d) Please bring some noodles. (e) Let him complete his work. (f) Does she compose poems? (g) Has she composed a song? (h) Did he To following sentences into passive voice. Opleted Linder
Answers
Find the coefficient of determination calculator
Answers
The coefficient of determination calculator is a tool that is used to calculate the proportion of the variation in the dependent variable that is explained by the independent variable
The coefficient of determination, also known as R-squared, is a statistical measure that ranges from 0 to 1, where 0 indicates that none of the variation in the dependent variable is explained by the independent variable, and 1 indicates that all of the variation in the dependent variable is explained by the independent variable.
To use the coefficient of determination calculator, follow these steps:
Input the data: You will need to enter the data for both the independent and dependent variables in the calculator. .
Run the calculation: Once you have input the data, the calculator will use it to calculate the coefficient of determination.
Interpret the result: The output of the calculator will be the coefficient of determination, expressed as a decimal.
It's important to note that the coefficient of determination is only meaningful for linear regression models, where the relationship between the variables is assumed to be linear.
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In the figure below, m2 = 76°. Find m< 1, m<3, m<4
Answers
Answer:*
m<1 = 76°
m<3 = 76°
m<4 = 180° - 76° = 104°
*My answer is based on the information you provided me.
Step-by-step explanation:
Unfortunately, I cannot see the figure you are referring to as you didn’t provide a picture. However, I can provide a general approach to solve this problem based on the information given.
Assuming that the figure is a diagram of intersecting lines, here's a way to find the measures of angles 1, 3, and 4:
1. Angles 2 and 3 are vertical angles, which means they have the same measure. Therefore, m<3 = 76°.
2. Angles 2 and 4 are supplementary angles, which means their measures add up to 180°. Therefore, m<4 = 180° - m<2.
3. Angles 1, 2, and 4 form a straight line, which means their measures add up to 180°. Therefore, m<1 + m<2 + m<4 = 180°.
4. Substitute the given measure of m<2 and the value of m<4 found in step 2 into the equation from step 3, and solve for m<1:
m<1 + 76° + (180° - 76°) = 180°
m<1 + 104° = 180°
m<1 = 76°
Therefore, the measures of angles 1, 3, and 4 are:
m<1 = 76°
m<3 = 76°
m<4 = 180° - 76° = 104°
Wally is employed as an executive with Pay More Incorporated. To entice Wally to work for Pay More, the corporation loaned him $20,000 at the beginning of the year at a simple interest rate of 1 percent. Wally would have paid interest of $2,400 this year if the interest rate on the loan had been set at the prevailing federal interest rate.b. Assume instead that Pay More forgave the loan and interest on December 31. What amount of gross income does Wally recognize this year?
Answers
Answer:18000$
Step-by-step explanation:
Randall is saving money to buy a bicycle. He has 37.80 in his savings account and saves 20% of his paper route earnings each week after 10 weeks, he has 87.80 in his savings account. How much does Randall earn each week from his paper route.
Answers
Answer:
$25
Step-by-step explanation:
Let's first subtract the savings account
87.80 - 37.80 = $50
Which means after 10 weeks, she saves $50
$50/10weeks = $5/1 week
Now they save 20% of the route. Which means $5 is 20% of the route.
To get to 100% we multiply 20% by 5.
That means we multiply the $5 by 5 also, giving us $25.
In the figure below, m/WXY = 64°, m/XYW = 67°, and m/WZV = 77º.
What is m/ZVW?
OA. 67°
OB. 54°
OC. 77°
OD. 44°
Z
W
Note picture not drawn to scale
Answers
If the wax cost $1.67 a square foot, how much will the wax cost to cover the floor?
$832.50
$1,300.10
$1,664.99
$2,600.19
Answers
Answer:
3. $1664.99
Step-by-step explanation:
1) the area of triangle is
a = 14
b = 19 + 33 - 28 = 24
S = 24 * 14 * 1/2 = 168 ft^2
2) the are of rectangle between the biggest rectangle and triangle is
a = 28 - 19 = 9
b = 14
S = 14 * 9 = 126 ft^2
3) the area of rectangle is
19 * 37 = 703 ft^2
4) the sum of all areas is
703 + 126 + 168 = 997
5) the wax will cost
997 * 1.67 = 1664.99
The perimeter of the rectangle, blues 52 units. Find the length of side cd. Write your answer without variables.
Answers
The length of side CD is equal to 15 units.
How to calculate the perimeter of a rectangle?Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;
P = 2(L + W) or P = 2L + 2W
Where:
P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.Substituting the given parameters into the perimeter of a rectangle formula, we have the following expressions;
52 = 2(2x - 1 + 3x - 3)
52 = 2(5x - 4)
52 = 10x - 8
10x = 60
x = 6
For side CD, we have:
Side CD = 3x - 3
Side CD = 3(6) - 3
Side CD = 18 - 3
Side CD = 15 units.
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Answer:
CD = 11
Step-by-step explanation:
As the formula for the perimeter of a rectangle is P = 2L + 2W, we can say that:
52 = 2(2x - 1) + 2(3x - 3) (distribute)
52 = 4x -2 + 6x - 6 (combine like terms)
52 = 10x - 8 (add 8 to both sides)
60 = 10x (divide both sides by 10)
6 = x
Now, as side CD is opposite side AB, and we know these sides are equal, we can say that AB = CD, therefore:
2(6) - 1 = 12 - 1 = 11
Which means side CD = 11.
find the Mean of Absolute Deviation of 6,8,8,12,16
Answers
In reference to the question given, the mean absolute deviation of the set {6, 8, 8, 12, 16} is 2.4.
Calculating the Mean Absolute Deviation of a Set of Numbers.To find the mean absolute deviation of a set of numbers, we first need to calculate the deviations of each number from the mean of the set, then take the absolute value of each deviation, and finally calculate the average of all the absolute deviations.
To find the mean of the set {6, 8, 8, 12, 16}, we first need to calculate the mean:
mean = (6 + 8 + 8 + 12 + 16) / 5 = 10
Next, we calculate the deviations of each number from the mean:
|6 - 10| = 4
|8 - 10| = 2
|8 - 10| = 2
|12 - 10| = 2
|16 - 10| = 6
Taking the absolute value of each deviation gives us:
4, 2, 2, 2, 6
Finally, we calculate the mean of these absolute deviations:
mean absolute deviation = (4 + 2 + 2 + 2 + 6) / 5 = 2.4
Therefore, the mean absolute deviation of the set {6, 8, 8, 12, 16} is 2.4.
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What is the result 27 divided by 3 ?
Answers
Answer:
Step-by-step explanation:
27/3=9
Find the value of x. K L (2x+32)° M
Answers
The value of x in the given equilateral triangle is 14.
What is an equilateral triangle?An equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60 degrees therefore, it is also known as an equiangular triangle.
Given is an equilateral triangle, one of its angle is given to be (2x+32)°,
We know that, the value of each angle of an equilateral triangle is 60°
Therefore,
(2x+32)° = 60°
2x = 28
x = 14
Hence, the value of x in the given equilateral triangle is 14.
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Since, the question is incomplete, the question is solved for the question attached.
what is the square root of 4761
Answers
Answer: 69 (nice)
Step-by-step explanation:
ask the question: what squared equals 4761?
69 x 69 = 4761
Therefore, sqrt4761 = 69
A cylinder has a radius of 10 m and a height of 8 m. what is the exact volume of the cylinder? responses 18π m³ 18 pi, m³ 80π m³ 80 pi, m³ 160π m³ 160 pi, m³ 800π m³
Answers
The exact volume of a cylinder with a radius of 10 m and a height of 8 m is 800π m³. This can be calculated using the formula for the volume of a cylinder, which is V = πr²h. (option 4)
In that, r is the radius and h is the height of the cylinder. In this case, r = 10 m and h = 8 m, so the volume can be calculated as V = π(10 m)²(8 m) = 800π m³.
To calculate this volume, we first use the formula for the volume of a cylinder, which states that the volume is equal to πr²h, where r is the radius and h is the height of the cylinder. In this case, the radius of the cylinder is 10 m and the height is 8 m, so the volume can be calculated as
V = π(10 m)²(8 m) = 800π m³.This is the exact volume of the cylinder.
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Complete Question:
A cylinder has a radius of 10 m and a height of 8 m. what is the exact volume of the cylinder? responses
18π m³80π m³ 160π m³ 800π m³what is rational roots theorem?
Answers
The Rational Roots Theorem identifies possible rational roots of a polynomial equation in terms of factors of its coefficients.
The Rational Roots Hypothesis, otherwise called the Judicious Zeros Hypothesis, is a numerical hypothesis that assists with recognizing conceivable objective foundations of a polynomial condition. In particular, that's what it expresses on the off chance that a polynomial condition with number coefficients has a sane root, that root should be of the structure p/q, where p is a variable of the consistent term and q is an element of the main coefficient.
For instance, in the event that a polynomial condition has the structure ax^3 + bx^2 + cx + d = 0, and the main coefficient an and the consistent term d are numbers, then, at that point, the conceivable sane foundations of the situation are the quantities of the structure p/q, where p is a component of d and q is a variable of a.
The Normal Roots Hypothesis is valuable in tackling polynomial conditions and deciding if they have reasonable roots.
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What’s 4 1/3 as improper fraction
Answers
Answer:
Step-by-step explanation:
13/3 is the answer
Answer:
13/3
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
3 × 4 = 12
Step 2
Add the answer from Step 1 to the numerator
12 + 1 = 13
Step 3
Write answer from Step 2 over the denominator
13/3
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Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it.
The two-way frequency table below shows data on guess and true status of the cards the friends drew.
Complete the following two-way table of row relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
Kamden guessed a star Kamden guessed not a star
Card had a star 4 2
Card didn't have a star 1 752
Answers
The two-way frequency table of column relative frequencies for Kamden is shown below.
What is a two-way frequency table?
A two-way frequency table is a table that's used to graphically the represent frequencies or relative frequencies that are associated with two categorical variables.
How to complete the two-way frequency table?
When card had a star, the relative frequency that Kamden guessed a star is given by:
F(s) = 4/5
F(s) = 0.80.
Kamden guessed not a star is given by:
F(ns) = 2/754
F(ns) = 0.002 ≈ 0.00.
When card didn't have a star, the relative frequency that Kamden guessed a star is given by:
F(s) = 1/5
F(s) = 0.20.
Kamden guessed not a star is given by:
F(ns) = 752/754
F(ns) = 0.997 ≈ 1.00.
For the total, we have:
Total of F(s) = 0.80 + 0.20
Total of F(s) = 1.00.
Total of F(ns) = 0.00 + 1.00
Total of F(ns) = 1.00.
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Complete Question:
Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it. The two-way frequency table below shows data on guess and true status of the cards the friends drew. Complete the following two-way table of column relative frequencies. (If necessary, round your answers to the nearest hundredth.)