Equation in slope intercept form and in standard form for (-2,6) and parallel to x3y=5 will be x + 3y = 10
Given equation => x + 3y = 5
3y = -x + 5 so, we have to write it in the equation form,
y = -(1/3)x + 5/3
slope = -1/3 Parallel lines have the same slope.
Now, you have a point and a slope, so use the Point-Slope form of the equation of a line.
y - y1 = m(x - x1) , by using the equation of line
y - 6 = (-1/3)(x - 2), then we get
y - 4 = (-1/3)x + 2/3
y = (-1/3)x + 3 1/3 Slope-intercept Form
(1/3)x + y = 10/3 Multiply both sides by 3.
x + 3y = 10 Standard form
So, the equation is x + 3y = 10
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In the triangle below, with right angle ZA, suppose that m B = (2x)° and mC = (5x-8)°.
Find the degree measure of each angle in the triangle.
B
(2x)
A
A
-
(x – 8)=
mZA
=
mZB =
mZC =
X
Answer:
m angle B = 27.54 degree
m angle C = 60.85 degree
Step-by-step explanation:
angle A is 90º so the other two angles must sum to 90º
2x+5x-8=90
7x-6=90
7x=96
x=13.77
therefore,
m angle B = 27.54 degree
m angle C = 60.85 degree
Eliza bought a hat for $21. The regular price is %30. What percent of the regular price did she pay?
Answer:
27.3
Step-by-step explanation:
21 times 1.3 = 27.3 = original price
She paid 70% of the regular price of $30.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Eliza bought a hat for $21. The regular price is $30. The percentage will be calculated as,
Percentage = 21 / 30
Percentage = 0.7 x 100
Percentage = 70%
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Quetion The cot c (in dollar) for the fuel and maintenance of a go-cart i given by c=15x1000, where x i the number of ride. It cot $20 per ride. How many ride doe it take to break even?
200 rides does it take to break even.
What are the many sorts of cost?
Fixed and variable costs are the two main categories of expenses incurred by enterprises. While variable costs fluctuate with output, fixed costs do not.
Sometimes, fixed costs are referred to as overhead costs. They must be paid whether a company produces 100 or 1,000 widgets.
The cost function is given by
C(x ) = 15x + 1000
It is also given that it costs $25 per ride.
so,
Revenue function for x number of rides be
R(x) = 20x
For break even:-
The cost must be equal to the Revenue i.,e
C(x) = R(x)
15x + 1000 = 20x
1000 = 20x - 15x
1000 = 5x
x = 1000/5
x = 200
Therefore, 200 rides does it take to break even.
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Solve the system by substitution. { − 4 . 5 x − 2 y = − 12 . 5 3 . 25 x − y = − 0 . 75
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The value of x is 1.
The value of y is 4.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 = 5 is an equation.
We have,
-4.5x - 2y = -12.5 ____(1)
3.25x - y = -0.75 _____(2)
From (1) we get,
-4.5x + 12.5 = 2y
y = (-4.5x + 12.5) / 2 _____(3)
Now,
3.25x - y = -0.75
Putting (3) in (2) we get,
3.25x - (-4.5x + 12.5) / 2 = -0.75
6.5x + 4.5x - 12.5 = 2 x -0.75
11x - 12.5 = -1.5
11x = -1.5 + 12.5
11x = 11
x = 1
Now,
From (3) we get,
y = (-4.5x + 12.5) / 2
y = (-4.5 x 1 + 12.5) / 2
y = (-4.5 + 12.5) / 2
y = 8/2
y = 4
Thus,
The value of x is 1.
The value of y is 4.
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Joseph and Raquel are building a scale model of the Alamo Mission for their Texas history project using a scale in which 2 inches represents 30 feet. The enclosed area of the Alamo Mission was 480 feet long and 160 wide.
What should the length of the enclosed area of the scale model be in inches?
Th length of the enclosed area of the scale model in inches is 32 inches.
How to find the length of the enclosed area of the scale model in inches?Joseph and Raquel are building a scale model of the Alamo Mission for their Texas history project using a scale in which 2 inches represents 30 feet.
The enclosed area of the Alamo Mission was 480 feet long and 160 feet wide.
The length of the enclosed area of the scale model in inches can be calculated as follows:
30 feet = 2 inches
480 feet = ?
cross multiply
length of the enclosed area = 480 × 2 / 30
length of the enclosed area = 960 / 30
length of the enclosed area = 32 inches
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Solve for x
48° 73° X°
Answer:
[tex]x=59[/tex]
Step-by-step explanation:
Angles in a triangle add to [tex]180^{\circ}[/tex].
[tex]\implies x=180-48-73=59[/tex]
Mr. Miller weigh 180pound. If hi weight decreae by 10% how much i hi new weight?
In linear equation, 162 is his new weight .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Mr. Miller weigh = 180pound
10% decrease = 180 * 10/100
= 18
new weight = 180 - 18
= 162
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Determine the slope of m of the line in the graph below
Please help me
Answer:
Step-by-step explanation:
(2, 0), (3, 4)
(4 - 0)/(3 - 2)= 4/1 = 4
If A+K=4 and AK=3 then find the vale of A³+K³
Answer:
Below
Step-by-step explanation:
k = 4-a
a (4-a) = 3
-a^2 +4a -3 = 0 ====> Quadratic Formula ===> a = 1 and k = 3
1^3 + 3^3 = 28
50 POINTS PLEASE HELP QUICK
Which expression is equivalent to 2 and three tenths raised to the fourth power divided by nine tenths raised to the fifth power, all raised to the fourth power?
A: 2 and three tenths raised to the eighth power divided by nine tenths raised to the ninth power
B: 2 and three tenths raised to the sixteenth power divided by nine tenths raised to the twentieth power
C: 1.4 raised to the forth power
D: 1.4 raised to the ninth power
Answer:
The answer is B
Step-by-step explanation:
I took the test and got it right,(also i have a pic) brainiest pls!!
Help me with ixl please
Answer:
∠AFB
Step-by-step explanation:
Vertical angles are opposite to one another and share the same vertex or endpoint. ∠DFE is ∠AFE both share the point F, and they are opposite to each other, so they are also vertical to each other.
PLEASE HELP ME I GIVE YOU POINTS
Answer:1.44
Step-by-step explanation:
If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?
Answer:
$172,984.44 (nearest cent)
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given:
P = $25,000r = 6.5% = 0.065n = 4 (quarterly)t = 30 yearsSubstitute the given values into the formula and solve for A:
[tex]\implies A=25000\left(1+\dfrac{0.065}{4}\right)^{4 \cdot 30}[/tex]
[tex]\implies A=25000\left(1.01625\right)^{120}[/tex]
[tex]\implies A=25000\left(6.9193776...\right)[/tex]
[tex]\implies A=172984.4404[/tex]
Therefore, if you deposit $25,000 now at 6.5% compounded quarterly, you will have $172,984.44 (nearest cent) in 30 years.
What is the value of the expression -9x2.2
Answer:
-1.8x^2
Step-by-step explanation:
You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets. Your friend finds $1 near your table and asks if it belongs with the ticket money. Do you think it does?
The 1 dollars found near the table by your friend is likely the money for the tickets.
How to find if the money belong to the ticket money?You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets.
let
x = number of individual ticket
y = number of couple tickets = 2x
Therefore, using equation,
2x(10) + 6x = 1075
2x + x = 195
Hence,
20x + 6x = 1075
3x = 195
x = 195 / 3
x = 65
Hence,
26x = 1075
26(65) = 1690
Therefore, the money on the table is the ticket money because the money is short of the amount of the tickets in dollars.
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innequality of |2x+7|+9 >18.
For the given inequality of |2x+7|+9 >18 the values of x are x< -8 or x>1.
What is meant by inequality?The state of not being equal, particularly in terms of status, rights, and opportunities, is a fundamental concept in social justice theories. It can be perplexing in public conversation since it typically has distinct meanings to different individuals. However, some variations are common. An inequality in mathematics is a comparison between two numbers or other mathematical expressions that is unfair. Various notations are used to denote different kinds of inequality, including:
A less than sign, such as a, denotes that an is greater than b.
Given inequality is:
|2x+7|+9 >18.
First we have to rearrange all the variables to the left side of the given equation:
Then,
|2x+7|>18-9
|2x+7|>9
2x+7>9 or 2x+7< -9
S0, x>1 or x< -8
Therefore, x< -8 or x>1
Hence, For the given inequality of |2x+7|+9 >18 the values of x are x< -8 or x>1.
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Paige can sort her toys in 6 fewer hours that Madison can. When they work together, it
takes them only 4 hours to sort the toys. How long would it take for each of them to sort
the toys alone?
Let X be the number of hours it takes Paige to sort the toys alone.
It takes Madison X + 6 hours to sort the toys alone.
Together, it takes them X + (X + 6) = 4 hours to sort the toys.
Combining like terms, we get 2X = 4
Dividing both sides by 2, we get X = 2
Therefore, it takes Paige 2 hours to sort the toys alone.
It takes Madison 2 + 6 = 8 hours to sort the toys alone.
in the chi-square test of independence, large values of the chi-square test statistic indicate a cause/effect relationship between the two categorical variables.
true
false
The given statement " in the chi-square test of independence, large values of the chi-square test statistic indicate a cause/effect relationship between the two categorical variables. " is false.
In math chi square test means the process of determine if there is a significant relationship between two nominal (categorical) variables.
Here we have the statement, in the chi-square test of independence, large values of the chi-square test statistic indicate a cause/effect relationship between the two categorical variables.
And we need to find the statement is true or not.
According to the definition of chi square test, we know that it checks whether two variables are likely to be related or not.
Here we have counts for two categorical or nominal variables.
So, there is no large value comparision take palce.
Therefore, the statement is false.
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Sam purchased a 30$ bus pass. Each time they ride the bus, $2.25 is deducted. Write an equation to show the amount of money left on the bus pass after x rides.
Answer:
-2.25x = 30
Step-by-step explanation:
I hope this helps!
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 45 books. There were twice as many large boxes sent as small boxes, which altogether can hold 440 books. Write a system of equations that could be used to determine the number of small boxes sent and the number of large boxes sent. Define the variables that you use to write the system.
In linear equation, 20x + 45y = 440 , y = 2x Where x is the number of small boxes sent and y is the number of large boxes sent.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Let be x the number of small boxes sent and y the number of large boxes sent.
Since each small box can hold 20 books (20x), each large box can hold 45 books (45y)and altogether can hold a total of 440 books, we can write the following equation to represent this
20x + 45y = 440
According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation
y = 2x
Therefore, the system of equation that be used to determine the number of small boxes sent and the number of large boxes sent, is
20x + 45y = 440
y = 2x
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Lamont works for a company that pays him $20 per hour, but $50 each week is deducted from his pay for insurance. let p(h) represent Lamont's pay in one week after deductions for working h hours. The function
p
(
h
)
=
20
h
−
50
p(h)=20h−50 is used to calculate Lamon's weekly pay after the insurance deduction. What is the independent variable?
The independent variable in the given function is h.
What are Independent and dependent variables?The Independent variables are those variable whose value does not depend on any other variable. And it causes the change in other variables.
The dependent variable is those variables whose value is not independent and change in this variable is dependent on the change of the independent variable.
Given the function p(h)=20h−50, which represents Lamont works for a company that pays him $20 per hour(h), but $50 each week is deducted from his pay for insurance.
Now, in the given function since the amount that Lamont will get depends upon the number of hours for which he is working.
Therefore, the h is the independent variable and p is the dependent variable.
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The odd numbers in this group add up to an even number: 15, 32, 5, 13, 82, 7, 1.
Find the area of the triangle below. Be sure to include the correct unit in your answer. 8 cm 9 cm 18 cm
Answer:
648
Step-by-step explanation:
An easy way to do this is to multiply all sides, then divide by 2.
8 × 9 × 18 = 1296
Now divide that by 2:
1296 ÷ 2 = 648
The area of the triangle is 648.
1/2 divided by 2 In fraction
Answer:
1/4
Step-by-step explanation:
1/2 divided by 2 would be 0.25, and since that's a quarter it would be 1/4.
A quare i drawn on a grid. Two of it vertice are at (3,3) and (7,7) What i the perimeter of the quare?
Therefore the solution of this question is the perimeter of the square on the grid is 16[tex]\sqrt{2}[/tex] units
What is perimeter?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.
Here,
The perimeter of the square drawn on the grid
The vertices given in the question are (3,3) & (7,7)
The length of the vertices given=[tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2}- y_{1})^{2} }[/tex]
Thus at vertices (3,3) & (7,7)
=>[tex]\sqrt{(7 -3)^{2} +(7-3)^{2} }[/tex]
=>4[tex]\sqrt{2}[/tex]
Therefore the perimeter of the square = 4a
thus,
=>4*4[tex]\sqrt{2}[/tex]
=>16[tex]\sqrt{2}[/tex] units
Therefore the perimeter of the square on the grid is 16[tex]\sqrt{2}[/tex] units
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-2x2 + 8x = 10 using the Quadratic Formula. Simplify if possible.
The required solutions are x = 2-i and x = 2+i to the given quadratic function.
What is a quadratic function?
The quadratic function is defined as a function containing the highest power of a variable is two.
We have been given that quadratic function as
-2x² + 8x - 10 = 0
Compare the given function to the standard quadratic function f(x) = ax² + b x + c.
We get a = -2, b = 8 and c = -10
Using the quadratic formula to solve the above quadratic function
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{-8\pm \sqrt{8^2-4\left(-2\right)\left(-10\right)}}{2\left(-2\right)}[/tex]
[tex]x=\dfrac{-8\pm \:4i}{2\left(-2\right)}[/tex]
[tex]x=\dfrac{-8+4i}{2\left(-2\right)},\:x=\dfrac{-8-4i}{2\left(-2\right)}[/tex]
x = 2-i, x = 2+i
Thus, the required solutions are x = 2-i and x = 2+i to the given quadratic function.
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Find the coordinates of the circumcenter of the triangle with the given vertices.
A(2, 2). B(2, 4), C(8, 4)
The circumcenter is
Answer:D
beacuse it is correct just trust me i have done this class and its correct
What is y=-2x+5 in standard form
Answer: 2x+y=5
Step-by-step explanation:
The standard form of a linear equation is
ax+by=c
Move all terms containing variables to the left side of the equation.
2x+y=5
Answer:
2x + y = 5
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Standard form of a linear equation}\\\\$Ax+By=C$\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are constants. \\ \phantom{ww}$\bullet$ $A$ must be positive.\\\end{minipage}}[/tex]
Given equation:
[tex]y=-2x+5[/tex]
To write the given equation in standard form, collect the terms with variables on one side of the equation, ensuring the term in x is positive.
Add 2x to both sides:
[tex]\implies y+2x=-2x+5+2x[/tex]
[tex]\implies y+2x=5[/tex]
[tex]\implies 2x+y=5[/tex]
x-½y=0 ½x- 0 ½z=-1 3x-y -z =-2
A total of 420 tickets were sold for the school play they were either adult tickets or student tickets the number of student tickets sold was three times the number of adult tickets sold how many adult tickets were sold
Answer: I believe 140
Step-by-step explanation: This is how I found my answer:
420 / 3
= 140
420-140
= 280
420= number of all tickets sold.
140= number of adult tickets sold
280= number of student tickets sold
You might wonder how I know why it's 140. I know it's 140, because using my context clues, it stated:
"the number of student tickets sold was three times the number of adult tickets."
So, the one that was the bigger amount must be the student's tickets sold, while the lower amount has to be the adult's tickets sold. I hope this helped!