Orio and Ted buy an equal number of comic books every month. Orio has 9 more comic books than Ted.
What are a definition and an example of a linear equation?
A linear equation is an algebraic equation with each term having an exponent of 1, and a straight line is produced when the equation is graphed. Y=mx+b is an illustration of a linear equation.The following equation shows the number of comic books, y, that Orio has after x months:
y = 2x + 15
Using the equation y=mx+b to find Orio's number of comic books, we can plug 2 months to substitute for the variable x.
y = 2(2) + 15
y = 4+15,
y = 19.
We know Ted has 10 comics after 2 months from the graph.
19-10= 9
Therefore, Orio has 9 more comic books than Ted.
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The complete question is -
Orio and Ted buy an equal number of comic books every month. The following equation shows the number of comic books, y, that Orio has after x months: y = 2x + 15 The following graph shows the number of comic books, y, that Ted has after x months: Graph shows Months on x axis and Number of Comic Books on y axis. The scale on x axis is shown from 0 to 5 at increments of 1. The scale on y axis is shown from 0 to 14 at increments of 2. The title of the graph is Teds Comic Books. A straight line is shown which joins the ordered pair 0, 6 and 4, 14 After 2 months, how many more comic books does Orio have than Ted?
Find the value of f(-5)
Answer:
y=3 or just put 3
Step-by-step explanation:
Stephanie is a taxi driver. She rents her taxi for $300/week. She feels she can take in $120/day in fares. Let D be the number of days she drives her taxi in a week and T be the total earnings she expects after subtracting the rental charge.
a. Identify four ordered pairs (D,T).
b. Write an equation that gives T as a function of D.
c. What is the most she can earn in a year at this rate?
Answer: a. (0, -300), (1, -180), (2, -60), (7, 540)
b. T=120D-300
c. $28080
Step-by-step explanation:
a. T=120D-300 ==> per week
D=0: T=120(0)-300
D=0: T=-300 ==> (0, -300)
D=1: T=120(1)-300
D=1: T=120-300
D=1: T=-180 ==> (1, -180)
D=2: T=120(2)-300
D=2: T=240-300
D=2: T=-60 ==> (2, -60)
D=7: T=120(7)-300
D=7: T=840-300
D=7: T=540 ==> (7, 540)
b. T=120D-300
c. T=120(7)-300
T=840-300
T=$540 per week
1 year = 52 weeks
540*52=$28080
The dimensions of a basketball court are shown below. Suppose a player throws the ball from a corner to a teammate standing at the center of the court. a. If center court is located at the origin, find the ordered pair that represents the location of the player in the bottom right corner b. find the distance that the ball travels
The 94 ft. by 50 ft dimensions of the court obtained from a similar question posted online, gives;
a. The ordered pair representing the location of the player in the bottom right corner is (47, -25)
b. The distance traveled by the ball obtained using Pythagorean theorem, is approximately 53.2 feet.
How can Pythagorean theorem be used to find the distance the ball travels?The possible dimensions of a rectangular court obtained from a similar question posted online are;
Length of the basketball court = 94ft.
Width of the basketball court = 50 ft.
From the question, we have;
Location of the court center = The origin of a coordinate plane
a. The ordered pair that represent the location of a player in the bottom right corner is found as follows;
Let (x, y) represent the coordinates of the bottom right corner of the court, we have;
Horizontal distance from the center of the court (the origin) to the right boundary of the court, x = (94 ft.)/2 = 47 ft.
Vertical distance from the center to bottom of the court, y = (50 ft.)/2 = 25 ft.
Following the convention of points to the right and above the origin being positive, while points below the origin are negative, we have;
The ordered pair (the coordinates of the player) that represents the location of the player in the bottom right corner is therefore;
(x, y) = (47, -25)b. The distance, d, that the ball travels is given by Pythagorean theorem as follows;
d = √((47 - 0)² + ((-25) - 0)²) = √(2834) ≈ 53.2
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What is Missing?
Fill in the circles with the missing information. Then place the area on the spaces provided as both a sum
and a product. 4 points each
21. Area as sum = 12x + 60
Area as Product = 12(x + 5)
22. Area as sum = 5x + 20
Area as Product = 5(x + 4)
How to Find the Area of a Rectangle as a Sum and as a Product?As a product, we can multiply the height and the base of the rectangle.
As a sum, we can find the area finding the sum of the areas of each pieces of the rectangle.
The missing pieces of that will fill into the circles is shown in the diagram attached below. Therefore, we would have the following:
21. Area as sum = 12x + 60
Area as Product = 12(x + 5)
22. Area as sum = 5x + 20
Area as Product = 5(x + 4)
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23. MATHEMATICAL CONNECTIONS Two lines are cut by
a transversal. Is it possible for all eight angles formed
to have the same measure? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
If you use only perpendicular lines, all angles should be exactly 90 degrees
is shown below. Find the value of f(-4)
======================================================
Explanation:
Start at -4 on the x axis.
Draw a vertical line until reaching the curve.
Then draw a horizontal line until reaching the y axis.
You should arrive at y = -5. This tells us f(-4) = -5
The input x = -4 leads to the output y = -5
The point (-4, -5) is on the graph. This is the highest point, so it's the vertex of the V shape.
See the diagram below.
Rewrite the following standard form linear equation into slope-intercept form. Write the answer starting with y=
12x-4y=-12
The equation of the line in the slope-intercept form is given y= 3x + 3 .
The graph of the equation y = mx + c is a line with m as the slope and m and c as the y-intercept. In the slope-intercept representation of the linear equation, the values of m and c are real numbers. A line's slope, expressed in m, indicates how steep it is. A line's gradient is also referred to as its slope occasionally. The y-coordinate of the point where the line's graph meets the y-axis is known as the y-intercept, or c, of a line.
The equation of the line is given by 12x - 4y = -12 .
This is the standard form of the line.
Now to represent the line in the slope-intercept form we need to write the equation for y in terms of x.
or, 12x-4y=-12
or, -4y = -12x - 12
or, y = (-12x - 12 ) ÷ (-4)
or, y = 3x + 3
Here the slope is 3 and the y-intercept is also 3.
Therefore the slope-intercept form of the line is given by y = 3x + 3
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Carly is playing her violin at a music festival and earns $8 for each song she plays. Maxwell is playing at a local coffee shop and earns $10 for each song he plays, but also has to pay a $50 fee to play there.
Problem
After how many songs will they have earned the same amount of money?
A.) 25
B.) 71
C.) 33
D.) 46
Answer:a
Step-by-step explanation: 25x8=200
(10x25)-50=200
can u pls help me with my ixl
25 points plus brainliest
The largest integer is 0 (first option).
What is the largest integer?Integers are whole numbers. An integer is number that is not a fraction and not a decimal. Integers can either be positive, negative or zero. An example of an integer is 100, - 100 and 0.
An even number is a number that is divisible by 2 into two equal halves. An example is 2, 4, 6, 8. Consecutive even integers are whole even numbers that follow each other on the number line. An example is 2, 4, 6, 8.
If 0 is the largest number, the other three consecutive even integers would be : 0, -2, - 4, - 6. The sum of these numbers is -12.
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What is an equation of the line that passes through the points (−1,−7) and (−8,0)?
The equation of the line that passes through the points is y = -x - 8
What is an equation of the line that passes through the points?The points are given as:
(−1,−7) and (−8,0)
Calculate the slope (m) using
m = (y2 - y1)/(x2 - x1)
So, we have
m = (0 + 7)/(-8 + 1)
This gives
m = -1
The equation of the line that passes through the points is then calculated as
y = m(x - x1) + y1
So, we have
y = -1(x + 8) + 0
This gives
y = -x - 8
Hence, the equation of the line that passes through the points is y = -x - 8
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what is the value of 100 3/2 ?
Answer:
101 1/2
3/2=1 1/2
100+1 1/2= 101 1/2
carlos jogged 5 3 4 laps around the school track in 8 minutes. what was his average speed in laps per minute? lap(s) per minute how to solve step by step
Average Speed is 23/32 laps per minute.
In the given statement is:
Carlos jogged 5 3/4 laps around the school track in 8 minutes.
What is Average speed?
Average Speed is calculated by dividing the total distance travelled by the time interval. For example, Someone who takes 40 minutes to drive 20 miles north and then 20 miles south (to end up at the same place), has an average speed of 40 miles divided by 40 minutes, or 1 mile per minute (60 mph)
Now, According to the Question:
5 3/4laps = 23/4 laps
23/4 ÷8
=23/4 × 1/8
=23/32
So, 23/32 laps per minute
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need help with this work it is 6th grade
Answer:
1/4
Step-by-step explanation:
You jumped rope of 1/3 of 3/4 hour.
In math, "of" usually means times.
1/3 of 3/4 hour = 1/3 × 3/4 hour = (1 × 3)/(3 × 4) hour = 3/12 hour = 1/4 hour
Answer: 1/4
how do you devide triple diget numbers?
For example:
240 ÷ 160
Given the linear functions f(x) = x-3 and g(x) = -2x + 4, determine (f g)(x).
O(f-g)(x) = -2x - 12
O(1-g)(x) = -2x² - 12
O(1-g)(x) = -2x2 - 2x - 12
O(f g)(x) = -2x2 + 10x - 12
According to the 2010 census, the population of Nebraska was 1.8 × 106 people. Which state had a smaller population?
(1 point)
California: 3.7 × 107
Rhode Island: 1.1 × 106
Texas: 2.5 × 107
Missouri: 6 × 106
Rhode Island has a smaller population.
Here,
According to the 2010 census, the population of Nebraska was 1.8 × 106 people.
We have to find the smaller population.
What is Product?
The multiply of two or more number is called Product.
Now,
The population of Nebraska was 1.8 × 106 people.
1.8 x 106 = 190.8
And,
The population of California = 3.7 x 107 = 395.9
The population of Rhode Island = 1.1 x 106 = 116.6
The population of Texas = 2.5 x 107 = 267.5
The population of Missouri = 6 x 106 = 636
Hence, Rhode Island has a smaller population.
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I will give brainliest to person who answers and double points!!!!
Answer:
x=17 3y=13+10-3
x=17y=20
Step-by-step explanation:
answer to the questions
Answer:
x = 3 y = 46
Step-by-step explanation:
8x+13 = 9x+10
-8x -8x
13 = x+10
-10 -10
3 = x
180-37 = 143
3y+5 = 143
-5 -5
3y = 138
/3 /3
y = 46
the points (4,1), (2.-2), and (-3,-3) are vertices of a polygon. What is the best name of the polygon?
Answer:
A Triangle
Step-by-step explanation:
Since the three points are not collinear, the vertices form a triangle.
73.69 in scientific notation
Answer:
see picture
Step-by-step explanation:
Please look at explaination
estimate the solution to the following system of equations by graphing. 3x + 5y= 14. 6x - 4y=9
the estimated solution for the equations 3 x + 5 y = 14 and 6 x - 4 y = 9 is (5/2, 4/3).
We have the equations:
3 x + 5 y = 14
6 x - 4 y = 9
The exact solution is the point (2.41, 1.36)
1.(5 / 2, 4 / 3)-----> (2.5, 1.33)--------> is the best approximation
2.(4 / 3, 5 / 2)------> (1.33, 2.5)
3.(7 / 3, 7 / 2)------> (2.33, 3.5)
4.(- 5 / 2,-7 / 5)----> (- 2.5, - 1.4)
The estimate solution is (5/2, 4/3).
Therefore, the estimated solution for the equations 3 x + 5 y = 14 and 6 x - 4 y = 9 is (5/2, 4/3).
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A gardener can trim all the bushes on the Green's property
in 5 hours. If his assistant helps him, they can complete the job
in 4 hours. How long would it take the assistant to do the job
alone?
(In hours)
It would take the assistant 20 hours to do the job alone.
How to determine the valueFrom the information given, we have that;
The gardener trims for 5 hours aloneThe gardener and assistant trims for 4 hoursLet the gardener be x
His assistant be y
So,
y = 1/ 5
x + y = 1/ 4
Substitute the value
x = 1/ 4 - 1/ 5
Find the LCM
x = 1 / 20
Take the reciprocal
x = 20 hours
Thus, it takes the assistant 20 hours to do the job alone.
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isiah copeland sells tennis equipment. he is guaranteed a minimum salary of $1,500 per month plus 5.75% of his total sales.
The correct answer would be "A. $2,075 = $1,500 + (.0575*s)" total sales.
What is sales?A sale is a deal in which two or more parties trade products or services for cash or other assets, usually between a buyer and a seller. It is an agreement between a buyer and seller on the price of a security and the delivery of the security to the buyer in exchange for the agreed-upon compensation constitutes a sale in the financial markets. The transaction is not regarded as a sale if the product or service in issue is given by one party to the other without receiving payment, but rather as a gift or donation.
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IT RAINS 15 DAYS IN JANURAY WRite the ratio of rainiy days to dry days
Answer:
3:9 6:15 14:21 15:35 all of these should work
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
√x² - y²
When x = 3and y = -6, the value of the expression is
Reset
-33 is the value of √x² - y² at x = 3 and y = -6.
The expression given in the question is √x² - y² and we have to find the value of this expression when the value of x is 3 and the value of y is -6.
In order to evaluate √x² - y² simply put x = 3 and y = -6 and then solve accordingly.
Let's proceed to solve the expression,
√x² - y²
at x = 3 and y = -6. we have
= √3² - (-6)²
= √9-36
= 3-36
= -33
⇒√x² - y² = -33
∴ On solving, √x² - y² for x = 3 and y = -6 we get -33 as its evaluation.
Hence, -33 is the required answer.
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Halle la razón aritmética y geométrica de 91 y 7.
It should be noted that the ratio of 91 to 7 will be 13:1.
How to calculate the ratio?It should be noted that when you want to calculate a ratio, you have to look at the common factor that the figures have.
In this case, the common factor that 91 and 7 has is 7
Therefore, the ratio will be:
= 91/7
= 13/1
In conclusion, the ratio is 13:1
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How many liters would a 5 kilolitre JoJo tank hold
Answer:
5000 litres
Step-by-step explanation:
1 kilolitre is 1000 litres
Answer: The tank would hold 5000 Liters
Given the figure below, find the values of x and z.
By using the property of vertically opposite angles the value x= 4 and the angle z = 78°
What are vertically opposite angles?
Vertical opposite angles are angles made at the intersection of two lines, these are non adjacent angles that are opposite to each other.
Vertical opposite angles are equal to each other.
In the given figure (5x + 82)° and (11x + 58)° are vertically opposite angles.
(5x + 82)° = (11x + 58)°
5x + 82 = 11 x + 58
82- 58 = 11x - 5x
24 = 6x
x = 24 /6 = 4
Then (5x+82) = (5(4) +82)= 102
(5x + 82)° and z° both are angles on same line therefore their sum will be 180°
(5x+82) +z =180
102+z=180
z= 180-102 = 78
Therefore, the value x= 4 and the angle z = 78°.
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In a bag, there are numbered tiles 1 through 10. You will pick a tile, replace it, then pick another one. Find the following probabilities.
P (1, the 3)
P ( odd, then number less than 4 )
P ( even, then odd )
Please help, this paper is due tomorrow and I have no idea what I'm doing!
Answer:
Wait, can you explain the answer choices, I don't understand them.
Step-by-step explanation:
The perimeter of a rectangular pool is more than 62 meters, and the width is at least 10 meters less than the length. Which system of inequalities represents the possible length in meters, l, and the possible width in meters, w, of the pool?
w ≤ 10 – l
2l + 2w ≥ 62
w ≤ 10 – l
2l + 2w > 62
w ≤ l – 10
2l + 2w ≥ 62
w ≤ l – 10
2l + 2w > 62
the system of inequalities that represents the possible length in meters, l, and the possible width in meters, w, of the pool is given as w ≤ l - 10 and 2 l + 2 w > 62.
Let the length of the pool be x.
So, ATQ, the width will be represented by the inequality:
x - 10 ≥ width
w ≤ x - 10
w ≤ l - 10
Also, it is given that, the perimeter of the pool is more than 62 m
So, we get that:
P > 62
Also, we know that:
P = 2 l + 2 w
So, we get that:
2 l + 2 w > 62.
Therefore, the system of inequalities that represents the possible length in meters, l, and the possible width in meters, w, of the pool is given as w ≤ l - 10 and 2 l + 2 w > 62.
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Answer:
D
Step-by-step explanation:
i’m pretty sure