The graphs of lines a and b are shown on the coordinate
plane. Write the equation on the line provided for each line.
Then solve the system of equations using any method.
The equation of line a is.
The equation of line b is.
Solution
Answers
From the graph we got two equations of line -3x+ y -9 =0 and x+y-7 =0
and solution of these equations are x = -1/2 and y= 15/2
what is equation of line?An algebraic expression that represents a number of points which creates a line in the XY coordinate system or another coordinate plane.
What is the equation of lines shown in the graph?
we are given a graph containing two equations of line named a and b. The lines are plotted in XY coordinate system.
From the graph, we can detect two locations of point (5, 6) and (1, -6) for line a and detect two location of point (1, 6) and (6, 1) for line b.
As per the formula for equation of straight line, a line passes through two points can be written as y-y₁ = [(y₂-y₁) / (x₂-x₁)] × (x- x₁)
hence, line a can be written as (y- 6) = [(-6 -6) / (1-5)] × (x- 5)
y-6 = 3(x-5)
y-6 = 3x -15
y-3x -9 = 0
In the next, line b can be written as (y-6) = [(1-6) / (6-1)] × (x-1)
y-6 = -1(x-1)
y-6 = -x+1
x+ y -7 =0
now, we get two equations, -3x+ y -9 =0
x+ y - 7 =0
Solving these two equations by addition method, we get x= -1/2 and y = 15/2
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Related Questions
Bradenton Bakery is baking a cake for a customer's quinceañera. The cake mold is shaped like a cylinder with a diameter of 12 inches and height of 8 inches.
Which of the following shows a correct method to calculate the number of cubic units of cake batter needed to fill the mold? Approximate using pi equals 355 over 113.
V equals 355 over 113 times 12 squared times 8
V equals 355 over 113 times 6 squared times 8
V equals 355 over 113 times 8 squared times 6
V equals 355 over 113 times 8 squared times 12
Answers
Therefore , the solution of the given problem of volume comes out to be
V =355/113 * (5)² * 7 thus correct option is V equals 355 over 113 times 6 squared times 8.
Define volume.Volume, which is expressed in cubic units, is a unit of measurement for the 3-dimensional space occupied by matter or encircled by a surface. The SI unit of volume = area * height is the cubic metre (m3), which is a derived unit. A "litre" (L) is the name given to the cubic decimeter (dm3).
Here,
The volume of cylinder = πr²h
Given : Diameter = 12 inches
radius = 12/2 = 6 inches
Height = 8 inches
Thus ,
To find the volume we put the all the above values in the formula:
=> V = πr²h
=> V = 22/7 * 6² * 8
=> V =355/113 * (6)² * 8
Therefore , the solution of the given problem of volume comes out to be
V =355/113 * (5)² * 7 thus correct option is V equals 355 over 113 times 6 squared times 8.
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Answer:
V equals 355 over 113 times 6 squared times 8.
Step-by-step explanation:
3 x (5 + 1) = (3 x 5) + (3x1)
What is the real property
Answers
The real property of 3 x (5 + 1) = (3 x 5) + (3x1) is the distributive property
How to determine the propertyFrom the question, we have the following parameters that can be used in our computation:
3 x (5 + 1) = (3 x 5) + (3x1)
The distributive property of algebra states that
x * (a + b) = x * a + x * b
This means that
x = 3
a = 5 and b = 1
By comparison, we can conclude that the property is the distributive property
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The Students' Union needs to order some pens and notebooks. How much does it cost to order 1000 pens and 2000 notebooks?
$
Pen
Quantity 100 250 500 1000 2500 5000
Price per pen (cents) 80c 72c 66c 60c 52c 45c
Notebook
Quantity 100 250 500 1000 2500 5000
Price per notebook (cents) 99c 86c 80c 76c 72c 70c
Answers
The cost to order 1, 000 pens and 2, 000 notebooks, by the Student Union, can be found to be
How to find the cost of ordering the pens and notebooks ?The cost of ordering 1, 000 pens is shown to be 60 cents per pen so the total cost would be :
= Number of pens x Cost per pen
= 1, 000 x 60 cents
= $ 600
The cost of ordering 2, 000 notebooks is 76 cents per notebook which comes to a total of :
= 2, 000 x 76 cents
= $ 1, 520
The total cost of ordering the pens and notebooks is:
= 600 + 1, 520
= $ 2, 120
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Here are two number machines that always give the same number for any input. Use the machines expressions to explain why both machines will produce the same outputs for any input.
Answers
9789 dived by 11 that’s it
Answers
Answer: 889.909090909
Step-by-step explanation:
divide
The sum of two angles is 85, one angle is five more than the measure of the other angle. Write the equation that represents this scenario and find the measure of each angle. Be sure to show your
work.
Answers
Therefore , the solution of the given problem of angles comes out to be equation : x+ y =85°.
'
An angle is what?In Euclidean geometry, an angle is a shape that is made up of two rays, known as the tone's flanks, that meet at a midpoint known as such angle's vertex. Two rays may combine to form an angle there in plane where they are positioned. When two planes collide, an angular is also generated. They are referred to as dihedral angles. An angle in plane geometry is the possible configuration of two rays of lines that share a termination. The origin of the English term "angle" is the Latin phrase "angulus," which meaning "horn." The vertex is the point in which the two vectors, also known as that of the faces of the angle, converge.
Here,
Given :
Let two angles be x and y is
=> x+ y =85°
So, the equation is represented as x+ y =85°.
Therefore , the solution of the given problem of angle comes out to be equation : x+ y =85°.
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A group of children played a balloon dart game at the county fair. The children took turns at the game, and the first 9 players scored
230, 540, 420, 430, 540, 560, 275, 50, 250
Joey is the 10th player, and his score is recorded with the first 9 scores after his turn. If Joey wants his score to be higher than the 70th percentile of all 10 scores, at least how many points does Joey need to score?
Answers
Joey needs to score more than 540 points, to be higher than
70th percentile of all scores.
What is percentile?Percentile is defined as the value below which a given percentage falls under.
Example: In a group of 20 children, Ben is the 4th tallest and 80% of the children are shorter than you. Hence, it means that Ben is at the 80th percentile.
The percentile formula determines the performance of a person over others. The percentile formula is used in finding where a student stands in the test compared to other candidates. A percentile is a number where a certain percentage of scores fall below the given number.
Given,
Scores of first 9 players:
230, 540, 420, 430, 540, 560, 275, 50, 250
let the score of joey be x.
Scores of all 10 players
230, 540, 420, 430, 540, 560, 275, 50, 250
Dataset in ascending order =
50, 230, 250, 275, 420, 430, 540, 540, 560
70th percentile of the dataset
k = 70
i = the index
n = total number of given data values = 10
i = k/100(n+1)
i = 70/100 (9+1)
i = 70 × 10/100
i = 7
The index of 70th percentile = 7
value of 70th percentile = value of data on index 7.
value of 70th percentile = 540.
Hence, To be higher than 70th percentile of all scores,
Joey should score more than 540.
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4.3.3 Refer to Exercise 4.3.1. Suppose we select a simple random sample of five adults. Use Equation 4.3.2 to find the probability that, in the sample, the number of people who have been told that they have hypertension will be: (a) Zero (b) More than one (c) Between one and three, inclusive (d) Two or fewer (e) Fiv
Answers
The probabilities of the number of people told that they have hypertension, using the binomial distribution, are given as follows:
a) Zero: 0.2536 = 25.36%.
b) More than 1: 0.3461 = 34.61%.
c) Between one and three: 0.7331 = 73.31%.
d) Two or fewer: 0.9068 = 90.68%.
e) Five: 0.0008 = 0.08%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters for this problem are given as follows:
p = 0.24, n = 5.
Hence the probability for each outcome in the distribution is given as follows:
P(X = 0) = (1 - 0.24)^5 = 0.2536.P(X = 1) = 5 x 0.24 x (1 - 0.24)^4 = 0.4003.P(X = 2) = 10 x 0.24² x (1 - 0.24)³ = 0.2529.P(X = 3) = 10 x 0.24³ x (1 - 0.24)² = 0.0799.P(X = 4) = 5 x 0.24^4 x (1 - 0.24) = 0.0126.P(X = 5) = (0.24)^5 = 0.0008.Hence the missing probabilities are given as follows:
b) More than 1: 1 - (0.2536 + 0.4003) = 0.3461 = 34.61%.
c) Between one and three: 0.4003 + 0.2529 + 0.0799 = 0.7331 = 73.31%.
d) Two or fewer: 0.2536 + 0.4003 + 0.2529 = 0.9068 = 90.68%.
Missing InformationThe probability that a person has hypertension is given as follows:
p = 0.24.
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You bought a new laptop and paid an initial payment of $150 you will make 12 payments of $69.50 how much would the computer cost if your state tried to 6% sales tax
Answers
The cost of the computer if the sales tax is 6% is 924.96 dollars.
How to find the cost of the computer after sales tax?You bought a new laptop and paid an initial payment of $150. You will make 12 payments of $69.50.
The amount the computer cost if the your state charge 6% sales tax can be calculated as follows;
Install mental payment = 12 × 69.50
Install mental payment = 834 dollars
You already made payment of 150 dollars.
Therefore,
total payment including sale tax = 150 + 834
total payment including sale tax = 984 dollars
Sales tax = 6% of 984
Sales tax = 6 / 100 × 984
Sales tax = 5904 / 100
Sales tax = 59.04 dollars
Therefore,
cost of the computer = 984 - 59.04
cost of the computer = 924.96 dollars
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Question 9 of 10
Which is the largest number?
OA. 5.8 x 10-3
B. 2.5 x 105
о C. 1.9 × 106
OD. 8.7 x 10²
Answers
On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area
What is surface area and an illustration?The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.
The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.
F= k*a*v^2
a= 250
v=190
30300=k*250*{190^2}
k= 0.03357
F= 0.003357*250*180*180
F=27135
The lifting force is 27135
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what is the coefficient of Q in the sum of
(2/3q - 3/4) and (-1/6q - 2)
please help me out
Answers
The coefficient of Q in the first term, 2/3q, is 2/3. The coefficient of Q in the second term, -1/6q, is -1/6. The sum of these coefficients is (2/3) + (-1/6) = 1/3. Therefore, the coefficient of Q in the sum of the two terms is 1/3.
Can you please give me brainiest.
This is an unusual question it isn't school related but I'm trying to reverse engineer a formula for WAR ( Baseball statistic) using the variables of OBP (.340) SLG (.430) league average OBP (.324) league average SLG (.413) plate appearances (600) and games played (150) the WAR after all that is an even 2.0 so I'm wondering if anyone on here could reverse engineer an equation using those variables to get 2 as an answer please and thank you
Answers
There are a few different methods that can be used to calculate WAR, and the specific formula used can depend on the source and the specific requirements of the calculation. In general, however, WAR is calculated by first determining the player's offensive and defensive contributions and then adding these together to get the overall WAR value.
To reverse engineer a formula to get a WAR value of 2.0 using the given variables, you would need to consider how these variables are typically used in the calculation of WAR and work backwards to determine the appropriate formula. This may involve some trial and error, as there is not a single "standard" formula that is used universally for calculating WAR.
Four gallons of paint are used to paint 25 chairs. If each chair used the same amount of paint, how many gallons are used to paint each?
Answers
Answer:
0.16 or 0.2 if rounded
Step-by-step explanation:
4 gallons divided by 25 chairs equals 0.16 gallons for each chair
hope this helps <3
The question is in the photo attached
Answers
Answer: 10,000
Step-by-step explanation: here's how I got my answer:
Since we are finding the decrease from 2005-2015, we need to multiply 1/20 by 10, since the timespan is 10 years worth of decreasing.
So, 1/2 * 10 =1/2
So, since we have 1/2 as the overall decrease in the population within the 10 years, we divide 20,000 by 1/2 or 20,000 by 2, and we get 10,000. I hope this helps.
true or false 3 times the speed will have 9 times the force of impact
Answers
Answer: true
Step-by-step explanation:
Identify the domain and range of the following relation.
x y
-2 -4
1 3
0 0
1 4
4 6
-1 -2
Answers
Answer:
domain = - 2, 1, 0, 1, 4, - 1
range = - 4, 3, 0, 4, 6, - 2
Step-by-step explanation:
x is domain
y is range
Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
3
16
0.85
100
0.425
0.375
3
4
0.316
0.38
40
김
20
0.1875
Answers
We have mapped the correct equivalent expressions.
3/16 ⇒ 0.1875
0.85 ⇒ 17/20.
3/8 ⇒ 0.375.
0.425 ⇒ 17/40.
What is the equivalent expression?
An equivalent expression is a mathematical expression that has the same value as another expression but is written differently. Equivalent expressions can be obtained by using the properties of arithmetic such as the commutative, associative, and distributive laws.
3/16 can be described as 0.1875
0.85 can be described as 17/20.
3/8 can be described as 0.375.
0.425 can be described as 17/40.
Hence, we have mapped the correct equivalent expressions.
3/16 ⇒ 0.1875
0.85 ⇒ 17/20.
3/8 ⇒ 0.375.
0.425 ⇒ 17/40.
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Please help will mark Brainly
Answers
Answer: A) solution is 1
Step-by-step explanation:
what is m=5 n=3 mn+9
Answers
Since m = 5 and n = 3, mn means multiply the values together.
5(3) = 15
Now add 9
15 + 9 = 24
Answer: 24
Step-by-step explanation:
Given that m=5 and n=3, we can plug our values into the given expression to evaluate.
(5)(3)+9 [multiply]
15+9 [add]
24
The reason we multiplied before we added was due to the order of operations. Order of operations tells us to always multiply or divide first before we add or subtract. In this case, the multiplication happens to come first so we multiply, then add.
write the missing digits to make this addition correct
_2_+_2=200
Answers
Answer:
128 + 72 = 200
Step-by-step explanation:
Start from the ones. And go next to tens and last find the hundreds.
see image.
Jesus wants to start saving for college. His parents started an account for him tht currently holds $325. Jesus adds $50 each week.
Answers
After 2 weeks, the account will hold 375 + 50 = $425.
After 3 weeks, the account will hold 425 + 50 = $475.
And so on.
In general, after n weeks, the account will hold 325 + 50n dollars
A pilot must log at least 1100 hours to fly an aircraft. Jabari logged 300 hours. How many more hours must he log to qualify
Answers
Answer: 800 more hours is required to fly an aircraft
Step-by-step explanation:
Rewrite 6 - 6 - 6 - 6 in exponential notation.
Answers
Rewriting 6-6-6-6 in exponential notation is -1.2×10¹
What is exponential notation?Exponential notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form.
When writing in exponential notation, it must be in standard l i.e writing in this format 3.577× 10⁴ not 35.77× 10³.
Though both of the expression are literally correct but 3.577× 10⁴ is the acceptable way of writing a scientific notation.
similarly 6-6-6-6 will give -12
writing -12 in exponential notation is -1.2×10¹
Therefore the exponential notation of 6-6-6-6 is -1.2×10¹.
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a local zoo has 900 pounds of bamboo to feed the giant panda. Each day, the giant panda eats 30 pound of bamboo. An accident happens and 125 pounds of the bamboo cannot be fed to the giant panda Determine the range of the number of days the zoo has more than 500 pounds of bamboo left.
Answers
The range of days to have 500 pounds left is 30 - 17.5 days
What is range?The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
For example the range in the ages 10,15,11,12,18 of students in a class is 18-10 = 8
The maximum days to feed the giant panda if the giant panda feeds on 30pounds per day is 900/30 = 30days
but due to accident 125 pounds are not good
Therefore the new pound of bamboo = 900- 125 = 875 pounds
The range of pounds when the minimum pound is 500 = 875-500 = 375 pounds
therefore no of days on 375 pounds = 375/30 = 12.5
Therefore the range of days to have more thanq 500 pounds = 30-12.5 = 17.5 days
The range of days the zoo has more than 500 pounds of bamboo is 30 - 17.5days
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nts
Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
of Variable
Answers
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
what is variable ?A variable in mathematics is a word or an alphabet that stands in for an unknowable quantity, value, or number. In the context of algebra or algebraic expression, the variables are employed specifically. Consider the linear equation x+9=4, which has 9 and 4 as constants and uses x as a variable. There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. The independent variable is often plotted on the x-axis whereas the dependent variable is typically plotted on the y-axis. The independent variable's value also determines
given
Information: The 400 clients' annual health care costs that the insurance provider included in the analysis.
-Variable: The expense of health care per year
400 clients were used as a sample in this study by the insurance business.
The insurance provider included 400 consumers in this survey, providing statistics on the average annual cost of health care for each of them.
-Parameter: The annual average cost of health care for all customers of the insurance provider.
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
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Please help will mark Brainly
Answers
Step-by-step explanation:
1. Simplify -6y >= 12 by dividing both sides by -6 to get y alone. This results in y<=-2, because when dividing an inequality by a negative number the sign gets switched.
2. Mark the point (0, -2) because there is no x-value. Shade everything lower and equal to -2 because y can be equal to -2 or less than it.
Answer:
Y less than
Step-by-step explanation:
The Science Club went on a two-day field trip. On the first day, the members paid $60 for transportation plus $15 per ticket to the planetarium. On the second day, they paid $95 for transportation plus $12 per ticket to the geology museum.
Write an expression to represent the total cost for two days for the ₙ members of the club.
Answers
Answer: Let n be the number of members in the Science Club.
On the first day, the total cost for transportation plus the cost of tickets is 60 + (15n) dollars.
On the second day, the total cost for transportation plus the cost of tickets is 95 + (12n) dollars.
So, the total cost for both days is (60 + 15n) + (95 + 12n) = 155 + 27n dollars.
The expression to represent the total cost for two days for the n members of the club is 155 + 27n dollars.
This equation represents the total cost for the transportation, planetarium and geology museum for 2 days for the n members in the club.
It should be noted that this is the monetary representation and it might vary depending on other factors, such as group discounts.
Step-by-step explanation:
Answer:
(n x 27)+155
Step-by-step explanation:
15 +12 = 27
Each member pays $27 for the tickets so we multiply it by the number of members.
95 + 60 = 155
The members pay $155 in total for transportation.
an ore is 1 1/2% pure silver. how much ore is needed to obtain 30 kilograms of silver?
Answers
Proportionately, the quantity of ore required to obtain 30 kilograms of silver is 2,000 kilograms.
What is proportion?Proportion refers to two or more ratios equated to each other.
We can use decimals, fractions, or percentages to show the proportional value of one quantity or variable to another.
The quantity of ore that can produce 30 kilograms of silver, based on the given proportion, can be obtained by equating the ratio to the required silver quantity.
The percentage of ore that is pure silver = 1¹/₂% = (0.015)
The quantity of silver needed = 30 kilograms
The quantity of ore that can produce 30 kilograms of silver = 2,000 kilograms (30/0.015)
1¹/₂% = 30 kg
100% = 2,000 kg (30/1¹/₂%)
Thus, given the ratio or proportion of pure silver to ore, the quantity of ore needed to obtain 30 kilograms of silver is 2,000 kilograms.
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The legislature in a state has 50 seats. Apportion these seats to the five counties below using Lowndes' method.
County Population Seats Received
Adams 71,000
Grant 483,000
Colton 224,000
Davis 406,000
Hayes 444,000
Answers
Answer: hi
Step-by-step explanation:
To apportion the 50 seats using Lowndes' method, you will need to follow these steps:
Calculate the apportionment ratio for each county by dividing the population of the county by the total population of the state.
Multiply the apportionment ratio for each county by the number of seats to be apportioned. This will give you the initial allocation of seats for each county.
Distribute the remaining seats (if any) to the counties with the largest remainders (the difference between the initial allocation of seats and the whole number of seats). If there are multiple counties with the largest remainders, distribute the seats among these counties based on their remainders.
Here is the apportionment for the five counties using these steps:
County Population Apportionment Ratio Initial Allocation Seats Received
Adams 71,000 0.088 4.4 4
Grant 483,000 0.591 28.9 29
Colton 224,000 0.274 13.7 14
Davis 406,000 0.500 25.0 25
Hayes 444,000 0.547 27.4 27
Total 1,928,000 50 50
So using Lowndes' method, Adams County would receive 4 seats, Grant County would receive 29 seats, Colton County would receive 14 seats, Davis County would receive 25 seats, and Hayes County would receive 27 seats.
What is the image of the point (0,4) after a rotation of 180 degrees counterclockwise about the origin?
Answers
The image point of (0, 4) is (0, -4).
What is Cartesian plane?The intersection of the x- and y-axes creates the two-dimensional coordinate plane known as the cartesian plane. The origin is the point at where the x- and y-axes cross perpendicularly.
The Cartesian coordinate point (x, y) indicates that the distance from the origin is x in the horizontal direction and y in the vertical direction. The point is to the right of the origin if the sign of x is positive; otherwise, it is to the left.
Given points (0, 4)
to find image of the point (0,4) after a rotation of 180 degrees,
The initial coordinates (x, y) of a point become when we rotate it by 180 degrees around the origin (-x, -y).
So,
-0 is just 0 (since 0 is both negative and positive)
-(4) is -4
This makes our new point (0, -5).
Hence the image of point is (0, -4).
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