The system of equations provided is classified as inconsistent because the equations have equal slopes but different y-intercepts, indicating they are parallel lines without any intersection point.
Explanation:
To classify the system as independent, dependent, or inconsistent without graphing, we need to rearrange the equations into a common linear form, typically y = mx + b, where m is the slope and b is the y-intercept.
The given equations of the system are y = 4x + 6 and 1 - 8x + 2y = 12. Let's rewrite the second equation in the form y = mx + b, which results in y = 4x - 5.
Now, let's compare. The first equation has a slope of 4 (m1 = 4) and the second equation also has a slope of 4 (m2 = 4). However, the y-intercepts of the two lines (b1 = 6, b2 = -5) are different.
Since the slopes are equal and the y-intercepts are different, the system is inconsistent. In other words, the two lines are parallel and do not intersect, so there is no solution to the system.
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4. Peter participated in a 5 K race and finished the race in 17 min. A 5k race is
5.000 m long. How would you calculate Peter's average speed in m/min?
A. 5 K + 17 min
B. 17 min + 5K
C. 5,000 m + 17 min
D. 17 min + 5,000m
Answer: are you sure these are correct?
Step-by-step explanation:
You would calculate the speed be doing 5000 m / 17 min, which would be 294.117647059 m/min
17 minutes is extremely fast, but this is correct.
Write whether each expression is a monomial or a binomial. a.3y b.(-9)+h c. wr+5wr d. -7agh e.2 f.k+12
Step-by-step explanation:
An expression with a single term a monomial, an expression with two terms is a binomial.
a. 3y - monomial
b. (-9) + h = -9 + h = h - 9 - binomial
c. wr + 5wr = 1wr + 5wr = (1 + 5)wr = 6wr - monomial
d. -7agh - monomial
e. 2 - monomial
f. k + 12 - binomial
Answer:
a. monomial
b. binomial
c. binomial
d. monomial
e. monomial
f. binomial
Step-by-step explanation:
straight from Penn
A dilation maps (3, 4) to (9, 12). Find the coordinates of the point (8, 7) under the same dilation.
Answer:
(14, 15 )
Step-by-step explanation:
(3, 4 ) → (9, 12 ) is represented by the rule
(x, y ) → (x + 6, y + 8 ), thus
(8, 7 ) → (8 + 6, 7 + 8 ) → (14, 15 )
Select location using number line -1 3/10 + 2/5
Hey!
---------------------------------------------
Find Common Denominators:
2/5 = 4/10
Put mixed number to improper fraction:
-1 3/10 = -13/10
Add:
-13/10 + 4/10 = -9/10
Answer:
-9/10
Number Line:
In picture!
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Hope This Helped! Good Luck!
.....does anyone know the answer its not 9 units
Answer:
The answer is 10 units
Hello.
The answer is 10 units.
You can find this out by subtracting the two. You cannot subtract a negative, so it goes like this.
9 - (-1) => 9 + 1
10 units is your answer.
Hope this was helpful, and have a good day!
Name the operation the should be done first in this expression: 10 - (3 + 4)
Answer:
[tex]Parenthesis[/tex]
Step-by-step explanation:
To figure this question out, you must follow the rule:
Parenthesis
Exponent
Multiply
Divide
Addition
Subtraction
As you can see, the first operation in PEMDAS is Parenthesis.
Meaning the first thing you do is the numbers in parenthesis
what is 74 times 13
Answer:
962
Step-by-step explanation:
x times y simply refers to x multiply y, so 74 times 13 means 74*13 and
74*13 = 962
Answer:
The answer is 962.
A form of reasoning called_ is the process of forming general ideas and
rules based on your experiences and observations.
Answer:
Inductive
Step-by-step explanation:
Answer:
The answer is inductive reasoning.
Step-by-step explanation:
A form of reasoning called Inductive reasoning is the process of forming general ideas and rules based on your experiences and observations.
Inductive reasoning takes in account, multiple premises that are believed to be true and combine all these to deduce a specific conclusion.
This is used in usually prediction and forecasting applications.
Evaluate the expression when x=-2 and y=3 3x-4y
The expression re-written: 3(2) - 4(3)
First, we multiply (PEMDAS)
3 * 2 = 6
4 * 3 = 12
6 - 12 = -6
Answer: - 6
The value of the expression at x = -2 and y = 3 will be negative 18.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 3x - 4y
The value of the expression at x = -2 and y = 3 will be
⇒ 3(-2) - 4(3)
⇒ - 6 - 12
⇒ - 18
The value of the expression at x = -2 and y = 3 will be negative 18.
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Convert 20 minutes to seconds
Step-by-step explanation:
60 seconds=1 minute
20 minutes=? seconds
60*20= 1,200
1,200 seconds=20 minutes
Hope this helps!!!
Brady
Answer:
20 min = 1,200 s
Step-by-step explanation:
[tex]1\ min=60\ s\\\\20\ min=20\cdot\underbrace{1\ min}_{60s}=20\cdot60\ s=1200\ s[/tex]
What do users share on Wikipedia?
Well, ideally, the purpose of Wikipedia is to allow anyone to add information, therefore, in theory, allowing the information to be the most accurate it can be.
In practice though, it just allows people to vandalize the articles and spread fake information.
Answer:
information on many topics
Step-by-step explanation:
dougs monthly salary was $1250 when he recieved a 5% raise. Six months later he recieved another 2% raise. What is his annual salary after recieving both raise?
Final answer:
After receiving a 5% and then a 2% raise, Doug's annual salary becomes $16,065.
Explanation:
Let's calculate Doug's annual salary after receiving both raises. Initially, Doug's monthly salary was $1250. After a 5% raise, his new monthly salary becomes $1250 × 1.05 = $1312.50.
Six months later, he receives another 2% raise, which makes his monthly salary $1312.50 × 1.02 = $1338.75.
To find his annual salary after both raises, we simply multiply his final monthly salary by 12 (the number of months in a year).
Initial monthly salary = $1250
First 5% raise = $1250 + 0.05 × $1250
Second 2% raise = (first raise + 0.02 × first raise)
Multiply the final salary by 12 to get the annual salary
$1338.75 × 12 = $16,065.
Therefore, Doug's annual salary, after receiving both a 5% and 2% raise, is $16,065.
During the 2011 season, a quarterback passed for 302 yards per game. He played in all 16 regular season games that year.
a. For how many total yards did the quarterback pass?
b. If he matches this passing total for each of the next 13 seasons, how many yards will he pass for in his career?
Answer:
(a). 4,832
(b). 62,816
Step-by-step explanation:
We have been given that during the 2011 season, a quarterback passed for 302 yards per game. He played in all 16 regular season games that year.
(a). To find the total yards passed by quarterback, we will multiply total number of games in one season by yards passed in one game.
[tex]\text{Total yards passed by quarterback in one season}=16\times 302[/tex]
[tex]\text{Total yards passed by quarterback in one season}=4,832[/tex]
Therefore, the quarterback passed 4,832 yards in one season.
(b). To find the total yards passed by quarterback in his career, we will multiply total number of yards passed in one season by 13.
[tex]\text{Total yards passed by quarterback in hos career}=13\times 4,832[/tex]
[tex]\text{Total yards passed by quarterback in hos career}=62,816[/tex]
Therefore, the quarterback passed 62,816 yards in his career.
Final answer:
The quarterback passed for a total of 4,832 yards during the 2011 season and is projected to pass for 62,816 yards in his entire career.
Explanation:
The questions can be answered as -
a. To find the total yards the quarterback passed during the 2011 season, we need to multiply the average yards per game by the number of games played.
Since he passed for 302 yards per game and played in all 16 regular season games, the total yards passed would be 302 x 16 = 4,832 yards.
b. If the quarterback matches this passing total for each of the next 13 seasons, we can find the total yards he will pass for in his career by multiplying his average yards per game by the number of games played in each season and then adding up the totals.
Since he passed for 4,832 yards in the 2011 season and plays 16 games per season, the total yards he will pass for in his career would be 4,832 x 13 = 62,816 yards.
The two-way table shows the ages of the players on different soccer teams. A 6-column table has 4 rows. The first column has entries 8 years old, 9 years old, 10 years old, Total. The second column is labeled Team A with entries 4, 9, 2, 15. The third column is labeled Team B with entries 6, 4, 3, 13. The fourth column is labeled Team C with entries 8, 3, 5, 16. The fifth column is labeled Team D with entries 3, 7, 4, 14. The sixth column is labeled Total with entries 21, 23, 14, 58. Which statement is true? The probability that a randomly selected player on Team A is 8 years old is StartFraction 4 Over 21 EndFraction. The probability that a randomly selected 8-year-old player is on Team C is StartFraction 16 Over 21 EndFraction. The probability that a randomly selected player on Team C is 10 years old is StartFraction 5 Over 16 EndFraction. The probability that a randomly selected 10-year-old player is on Team B is StartFraction 13 Over 58 EndFraction.
Answer:
The true statement is: The probability that a randomly selected player on Team C is 10 years old is [tex]\frac{5}{16}[/tex].
Step-by-step explanation:
According to the table the total number of 10 years old players on Team C is 5 and the total number of all ages players (8, 9 and 10 years old) on Team C is 16, so the probability that a randomly selected player on Team C is 10 years old is 5/16.
The probability that a randomly selected player on Team C is 10 years old is 5/16.
What is Probability?This is defined as the numerical descriptions of how likely an event is to occur and is often measured in fraction.
Total number of 10 years old players on Team C = 5
Total number of all ages players (8, 9 and 10 years old) on Team C = 16
Therefore probability = 5/16
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An architect designs a rectangular flower garden such that the width is exactly two-thirds if the length. If 240 feet of antique picket fencing are being used to enclose the garden, find the dimensions of the garden.
Answer:
The length of the rectangular flower garden is 72 feet and the width is 48 feet
Step-by-step explanation:
Let
L ----> the length of the rectangular flower garden in feet
W ---> the width of the rectangular flower garden in feet
we know that
The perimeter of the rectangular flower garden is
[tex]P=2(L+W)[/tex]
we have that
[tex]P=240\ ft[/tex]
so
[tex]240=2(L+W)[/tex]
Simplify
[tex]120=(L+W)[/tex] -----> equation A
[tex]W=\frac{2}{3}L[/tex] ----> equation B
Substitute equation B in equation A and solve for L
[tex]120=(L+\frac{2}{3}L)[/tex]
[tex]120=\frac{5}{3}L[/tex]
[tex]L=120(3)/5[/tex]
[tex]L=72\ ft[/tex]
Find the value of W
[tex]W=\frac{2}{3}(72)[/tex]
[tex]W=48\ ft[/tex]
therefore
The length of the rectangular flower garden is 72 feet and the width is 48 feet
What does "due process of law" mean ?
Answer:
Fair treatment through the judicial system; what citizens are entitled to in the court system.
Step-by-step explanation:
i need the answer to 6^7(-2)^7
Answer:
The answer would be:
−35831808
Hope this helps.
Answer:
Step-by-step explanation:
(-2)^7 = - 2^7
6^7 = (2×3)^7= 2^7× 3^7
6^7(-2)^7 = (2^7× 3^7 )( - 2^7) = - (2^7×2^7)(3^7 )
6^7(-2)^7 = - 2^14 ×3^7
The straight line y=2x-2 meets the circle x^2+y^2=8 at the points A and B. Find the length of AB, giving your answer correct to one decimal place.
Answer:
(12/5)√5
Step-by-step explanation:
y = 2x - 2
x² + y² = 8
x² + (2x - 2)² = 8
x² + 4x² - 8x + 4 = 8
5x² - 8x - 4 = 0
(5x + 2)(x - 2) = 0
x = -2/5
x = 2
y = 4 - 2
y = 2
(2,2)
y = 2(-2/5) - 2
y = -4/5 - 2
y = -14/5
(-2/5,-14/5)
√((2 + 2/5)² + (2 + 14/5)²)
√((12/5)²+ (24/5)²)
√(144/25 + 576/25)
(1/5)√(144+576)
(1/5)√720
(1/5)√(16*45)
(4/5)√45
(12/5)√5
solve the equation for x. interpret the answer in terms of the problem x+y-y=425-y
x+y-y=425-y
do y-y first
y-y= 0
x+0= x
Answer: x= 425 -y
The equation of algebra x +y- y=425-y simplifies to x = 425 - y. To find the value of x, you can substitute a given or specific value of y into the equation.
Explanation:To solve the equation, you adjust and remove variables until you can isolate x. In this case, the equation is x +y- y =425-y. Here, the y's on the left-hand side of the equation cancel out giving you: x = 425 - y.
Therefore, the solution for the value of x, given y, is x = 425 - y. Meaning, if we know the value of y we can substitute it in the equation to find the corresponding value of x.
To interpret the solution, we need to have context or a real world application related to the problem. Without context, the interpretation might not go beyond the mathematical expression that x is equal to 425 minus the value of y.
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Write 1.888... as a mixed number in simplest form
The conversion of 1.888... as a mixed number in the simplest form is [tex]\dfrac{17}{9}[/tex].
The number that repeats itself periodically after decimals is called Repeating numbers.
They are also called recurring numbers or non-repeating numbers.
They may be in a particular pattern or a single number may repeat.
Example : 2.1414141414…….
Assign a variable, x, to the repeating decimal:
x = 1.888........ (1)
Multiply both side by 10 to shift the decimal point:
10x = 18.888... (2)
Subtract equation 2nd from equation 1st,
10x - x = 18.888... - 1.888...
9x = 17
Divide both sides of the equation by 9, to get the value of x:
[tex]x = \dfrac{17}{9}[/tex]
The simplest form of 1.888... is [tex]\dfrac{17}{9}[/tex].
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During a sale, a dress is marked down form a selling price of $90 to a sale price of $81. What is the percent of markdown?
How long will it take you to ski a distance of 36 miles at a speed of 3 miles per 30 minutes
if one can cover 3 miles in 30 minutes, how many minutes will it be for 36 miles?
[tex]\bf \begin{array}{ccll} minutes&miles\\ \cline{1-2} 30&3\\ x&36 \end{array}\implies \cfrac{30}{x}=\cfrac{3}{36}\implies \cfrac{30}{x}=\cfrac{1}{12}\implies 360=x[/tex]
i posted this 575322 times pls help
Answer:
Step-by-step explanation:
In your own words,explain why parentheses are important in problems involving more than one subtraction?
Answer:
parenthesis can be used to showthe order of what operations happen and the order they happen in, it helps break up confusion aswell that may occur within the equation
Answer:
Parentheses are important because they determine the order and priority of the operations.
Step-by-step explanation:
Parentheses when performing addition, subtraction, division or multiplication operations play a very important role. They tell us in which order we should go solving each of those operations.
If we do not respect this order, we can make the mistake of reaching an erroneous result.
The main thing is to always solve each parenthesis so that in the end everything is free to carry out the corresponding additions or subtractions.
Solve for x.
Enter your answer in the box
X=
Answer:
72°
Step-by-step explanation:
[tex] \frac{360}{5} = 72[/tex]
I know that this is not the correct formula for this type of problem, but since x is an acute angle, I found this answer a possibility.
I hope this is correct, and as always, I am joyous to assist anyone at any time.
Can you help I have tried 4 times
Answer:
5120oz/12=426.667 ounces.
Step-by-step explanation:
We know 1 pound = 16 oz. If we want to find out how many ounces are in 320 lbs, we must multiply 16 by 320 = 5120 ounces. Now we must divide by 12 to see how much she ate per month. 5120 divided by 12 is 426.667 or 426 and 2/3 ounces per month.
Alternatively, we can set up a proportion 1 lb / 16 ounces = 320 lb / x ounces. We cross multiply 1 times x = 320 times 15. On the left hand side we just have x and on the right hand side we get 5120. Hence, x=5120 ounces per year. To find how many she ate per month we must divide by 12 since there are 12 months in a year. So it comes out to 426 and 2/3 ounces per month.
Here are the equations: (1lb)(320lb)=(16oz)(320oz) implies 320lb=5120oz. Then divide 5120oz 12 to get how much she ate per month: 5120oz/12=426.667 ounces.
I have a math problem to simplify how?
Answer: negative fifty
There are 20 students in your class.if 4/5 of them are boys,how many are girls
To solve, simply know that 1/5 of 20 is 4. How did you get that? You do 1/5x20. Which is 20/5. The answer is 4. Now multiply 4 by 4. 16. Now the left over 1/5 is 4. So, 4 is how many girls there are. (Make sure to label)
100 people were asked to estimate the length of one minute. their estimates were normaly distributed with a mean time of 60 seconds and a standard deviation of 4 seconds
Im super sorry my hand slipped dont quit
is 0.82 a irrational or a rational number
It is a rational number because it is a terminated decimal and can be expressed as a fraction.
Answer:
It is a rational number.