Choose the variable whose numerical coefficients are smaller or have a smaller common multiple.
What is Elimination Method ?In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
Elimination Method for a System of EquationsPut the two equations in standard form.Alternate the coefficients of one variable.To remove one variable, add the equations produced by Step 2.Find the solution for the last variable.Fill in one of the original equations with the solution from Step 4.Elimination has less steps than substitution. Elimination reduces the possibilities of mistakes as compared to other methods. Elimination is quicker.To learn more about Elimination Method refer to :
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Select ALL the correct answers.
For AABC, which two relationships are true?
0
0
sin (0) = AE =
cos (0)
cos (8) = A
cos (6)
cos (6)
ACC = sin (90 - 0)
sin (90 - 0)
sin (0)
cos (906)
cos (90 - 0)
=
=
BOCC
sin
(0) = C
sin (0) = A
=
=
=
=
B
(90-8)
Therefore , the solution ot the given problem of trigonometry comes out to be Option (A) and (F) are the correct answers since sin = BC/AC = cos(90 - ∅), and cos = AB/AC = sin(90 - ∅).
Describe the trigonometric function.The right triangle's angle serves as the domain input value for the six basic trigonometric operations, which produce a range of numbers as their results.Understanding the trigonometric functions of the four quadrants' graphs, domains, differentiation, and integration will be achievable.
Here,
Sinx = perp./hypo.
Cosx equals base/hypo.
So,
Sin = B/C
A= cos(90 -∅ ) = BC/AC
So,
Cos(90 -∅ ) = Sin(BC/AC)
And,
cos = AC/AB
AB/AC = sin(90 -∅ )
So,
cos AB/AC = sin (90 -∅ )
Therefore , the solution ot the given problem of trigonometry comes out to be Option (A) and (F) are the correct answers since sin = BC/AC = cos(90 -∅ ), and cos = AB/AC = sin(90 - ∅).
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water pours into a fish tank at a rate of 3tf^3/min. how fast is the water level rising of the base pf the tank is a rectasngle pf dimensions 2x3ft
The water level is rising at a rate of 0.5tf² /min*ft². This is in cubic feet per minute per square feet, if you want to express this in terms of height, you will have to convert the units
How to find rate of water rising ?To find out how fast the water level is rising, we need to use the concept of volume flow rate. Volume flow rate is the volume of fluid that passes through a given surface per unit of time. In this case, the volume flow rate is given as 3tf^3/min.
Since the base of the tank is a rectangle with dimensions 2x3 ft, we can find the area of the base by multiplying the length and width:
2 ft * 3 ft = 6 ft^2
To find the rate of change of the water level, we need to divide the volume flow rate by the area of the base.
3tf^3/min / 6 ft^2 = 0.5tf^3/min*ft^2
So the water level is rising at a rate of 0.5tf^3/min*ft^2
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How do you solve the equation 5t 3 3t 5?
By solving the equation 5t - 3 = 3t - 5 we get the equation is true when t = -1. So the solution is t = -1.
To solve the equation 5t - 3 = 3t - 5, you can use algebraic manipulation to isolate the variable on one side of the equation.
The first step is to get all the terms with the variable on one side of the equation and all the constant terms on the other side.
5t - 3 = 3t - 5
adding 3 to both sides:
5t = 3t - 2
subtracting 3t from both sides:
2t = -2
then divide both sides by 2:
t = -1
So the solution is t = -1, meaning that when t = -1, the equation is true.
--The question is not clear, answering to the question below--
"How do you solve the equation 5t - 3 = 3t - 5?"
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Christopher has 95 toy cars. He arranges his cars in 5 equal rows. Write numbers in the boxes to complete the partial quotient model and the equation to find the number of cars in each row. 95 + 5 = cars
The number of boxes to complete the partial quotient model is found to be as 19 cars .
On dividing 95 from 5 we will get 19 as the quotient.
95 / 5 = 19
The quotient is the number that is produced when two integers are divided. It is the outcome of the division process , when we divide a number from another the result is known as quotient.
In arithmetic division, four primary terms are used which are divisor, dividend, quotient, and remainder. In this post, each phrase will be defined and shown using examples.
Dividend = Divisor + Quotient + Remainder
If the divisor is not able to completely divide the dividend then it leaves a remainder.
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When the inverse of a function is itself a function it is called?
When the inverse of a function is itself a function it is called self-inverse.
A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
This relationship is commonly symbolized as y = f(x)—which is said “f of x”—and y and x are related such that for every x, there is a unique value of y.
A self-inverse function ‘reverses itself’ to produce the original input.
A function f is self-inverse if it has the property that f(f(x))=x for every x in the domain of f. In other words, f(x)=f−1(x).
For example, 1x and 3−x are self-inverse.
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Find the measures of the angles
Answer:
（1）：
angle1/2/3/4=90
angle6=51
angle7=40
angle8=89
angle9=51
angle10=40
angle12=50
angle13=130
angle14=50
Step-by-step explanation:
Q1：
angle1 2 3 4 divided 360 into four equal parts
so 360/4=90
angle11=110degree
so angle12 is 180-130=50 degree
because angle 12 3 10 are in triangle
their sum is 180
so angle 10=180-90（angle3）-50（angle12）=40
because angle 10 5 6 sum is 180
so angle 6 is=180-89（angle5）-40（angle10）=51
because angle 5 6 7 sum is 180
angle7=180-51（angle6）-89（angle5）=40
angle8=angle5=89
angle9=angle6=51
angle12 &13sum is 180
so angle13=180-50=130
angle14=angle12=50
How do you know if a graph is wider or narrower than the parent function?
The parabola narrows as the quadratic coefficient increases. The parabola's width increases as the quadratic coefficient decreases.
Define the condition for wider graph of the parent function?The graphs' width and whether or not they slant upward or downward depend on the quadratic term's coefficient, a for the parent function.
The parabola ends point up when the quadratic coefficient is positive.The parabola's ends point down when the quadratic coefficient is negative.The parabola narrows as the quadratic coefficient increases.The parabola's width increases as the quadratic coefficient decreases.The axis of symmetry is moved away from the y-axis by the linear-term coefficient b. The quadratic coefficient's sign and the linear coefficient's sign both affect the shift's direction.The y-intercept is impacted by the constant term c. The intercept point just on y-axis increases higher the higher the number is.To know more about the parent function, here
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GIVING BRAINLIEST! HELP
Answer:
Its first option. bcz its doubled... right..
Brady tosses a coin three times. Each toss could be heads or tails. Which
outcome would be included in the compound event "at least two tails"?
The outcome for the event "at least two tails" is HTT. Option B
A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.
HHH → All heads
HHT → Two heads + one tail
HTH → Two heads + one tail
HTT → Two tails + one head
THH → One tail + two heads
THT → Two tails + one head
TTH → Two tails + one head
TTT → All tails
Therefore, At least two tails means → Sample space outcome with two tails Or all tails
Therefore, from the given options HTT is having two tails. Option B is the correct option.
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What are the domain and range of the function?
f(x) = ³√x + 2
The domain of the function f(x) = ∛x + 2 is all real numbers such that x ≥ 0. This is because the cube root function is defined only for non-negative numbers.
What do a function example's range and domain mean?
A straightforward function, such as f(x) = x2, can have a domain (what goes in) of just the counting numbers 1, 2, 3, etc., and a range (what comes out) of the set 1, 4, 9, etc. Another function, g(x) = x2, may have an integer domain of..., -3, -2, -1, 0... 1, 2, 3, and its range is..., 1, 4, 9,...
For the range, the function f(x) = ∛x + 2 is a monotonically increasing function over the domain, which means that it increases as the input x increases. Therefore the range of f(x) = ∛x + 2 is all real numbers greater than or equal to 2
So the domain is x>=0 and the range is y>=2
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For how many positive integers n does 1/n yield a terminating decimal with a non-zero hundredths digit?
The number which has a finite number of digits after the decimal point is a terminating decimal.
The decimal is said to be terminating decimal if that has a finite number of digits after the decimal point. Decimal numbers are used to represent the partial amount of whole just like fractions. The number which has a finite number of digits after the decimal point is referred to as a terminating decimal. A number has a terminating decimal expansion if the digits after the decimal point terminate or are finite. The fraction 5/10 has the decimal expansion of 0.5 which is a terminating decimal expansion because digits after the decimal point end after one digit. Terminating decimal has finite digits and non-terminating decimals do not have finite digits. A number with a terminating decimal is always a rational number.
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Bruce has been offered a position selling bungee seat belts to sports car manufacturers. He was given a choice of receiving a monthly salary of $500 plus a bonus of 25% of his monthly sales or a $2,000 monthly salary with a 5% bonus on sales. How much would Bruce have to sell to make the same amount of money from each?
Answer:
$7500
Step-by-step explanation:
Let x = amount of monthly sales.
Choice A:
"monthly salary of $500 plus a bonus of 25% of his monthly sales"
monthly salary = 0.25x + 500
Choice B:
"$2,000 monthly salary with a 5% bonus on sales"
monthly salary = 0.05x + 2000
We set the total monthly salaries equal and solve for x.
0.25x + 500 = 0.05x + 2000
0.2x = 1500
x = 1500/0.2
x = 7500
Answer: $7500
What is the solution of 2x² 3x 2 0?
The equation 2x² + 3x - 2 = 0 has the solutions or roots 1 and -2. The quadratic equation is 2x² + 3x - 2 = 0
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter.
given
Below is the quadratic equation.
2x² + 3x - 2 = 0
When you factor the equation, you get
2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x(x + 2) - 1(x + 2) = 0
(x - 1)(x + 2)
x = 1, -2
The equation 2x2 + 3x - 2 = 0 has the solutions or roots 1 and -2
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How many different ID cards can be made if there are six digits on a card and no digit may be used more than once
On solving the provided question, we can say that by permutation If an ID card has six digits and each digit may only be used once, then 151,200 distinct ID cards can be created.
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.
There are 6 digits on a card ( 0 - 9 ).
10 * 9 * 8 * 7 * 6 * 5 = 151,200
If an ID card has six digits and each digit may only be used once, then 151,200 distinct ID cards can be created.
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2. A square playground has a side which measures 40 metres. What is its area?
The area of a square playground which has a side measures 40metres would be 100[tex]m^2[/tex].
How to calculate area?step1
Perimeter of square = 40m
We have given that perimeter of square is 40m. To find its area, we have to calculate its side first.
Perimeter of square = 4× side
Substituting values in formula
Area of square = 4 × side
=> 40 = 4 × side
=> side = 40÷4
=> side = 10m
Side of square is 10m.
step 2
Calculating area of square :
We found that side of square is 10m. To find it area, required formula is:
Area of square = (side)²
To find area, substitute values in formula :-
Substituting values in formula :-
Area of square = (side)²
=> Area of square = (10)²
=> Area of square = 10 × 10
=> Area of square = 100m
so if the perimeter of square is 40m then the area is 100m.
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Solve the following problems using completing the Square
Martha and Miguel volunteered in a Tree Planting Program offered by the school. They also donated packs of seeds for the program. The number of Martha's seeds is represented as 2x-3 packs while Miguel's seeds is twice the number of Martha's seeds. If the product of Martha and Miguel's Pack of seed is 50, how many packs of seeds Martha and Miguel donated?
[Write it on paper please ]
Using factorization method to solve the quadratic equation, the number of seed Martha and Miguel donated are 5 and 10 respectively
What is Quadratic EquationA quadratic equation is an equation of the form ax2 + bx + c = 0, where a, b, and c are constants, and x is an unknown variable. The solution to such an equation is a value of x that will make the equation true.
To determine the number of seeds they donated, we have to write two equations and solve.
data;
Martha = 2x - 3Miguel = 2[2x - 3] = 4x - 6The product of the seeds is (2x - 3)(4x - 6) = 8x² - 24x + 18
This can be written as
8x² - 24x + 18 = 50
Solving the quadratic equation;
8x² - 24x + 18 - 50 = 0
8x² - 24x - 32 = 0
Using factorization method;
8(x - 4)(x + 1) = 0
x - 4 = 0, x = 4
x + 1 = 0, x = -1
x = 4, x = -1
The number of packs Martha donated is
Martha = 2x - 3 = 2(4) - 3 = 5
The number of packs Miguel donated is
Miguel = 2 * 5 = 10
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Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years find out how much he owes and interest and how much he needs to pay back
Answer:
P=3000$
T=2 years
R=1.6% per annum
Now,
interest=(3000×2×1.6)/100=96$
Amount=P+interest=3096$
Hence,Conan needs to pay back 3096$ and the interest is 96$
Find the product (8×+9y) (8×-9y)
Answer:64x^2-81y^2
Step-by-step explanation:
difference of the squares
which algebraic expression represents the following phrase "2.5 less than a number d and 4"
The algebraic expression is represented as 4d - 2.5
What is an algebraic expression?An algebraic expression is simply defined as an expression that is composed of coefficients, factors, constants, terms, and variables.
They are also composed of mathematical operations, such as;
AdditionSubtractionDivisionBracketMuitiplicationParentheses, etcFrom the information given, we have that;
The variable = d
The constant = 2.5
The coefficient = 4
This is represented as;
4d - 2.5
Hence, the expression is 4d - 2.5
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Name the property that i hown by each equation. A. 6a 4 = 4 6a
B. 30 60 = 15(2 4)
C. 3(8x 4) = 3(4 8x)
D. 4(6a) = (4 · 6)a
A. Commutative property of addition
B. Distributive property
C. Commutative property of addition
D. Associative property of multiplication
Commutative property of addition: The commutative property of addition says that a change in the order of the numbers being added does not affect the sum. We define a commutative property of addition as adding the numbers in any order that will give the same answer.a + b =b + a
Here, a and b is whole numbers, integers or decimals, or even fractions.
Distributive property: According to this property, multiplying the summation of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. In other words, according to the distributive property, an expression of form A (B + C) can be solved as A (B+ C) = AB + AC.Associative property of multiplication: The associative property of multiplication is defined as that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.Read more about the distributive property:
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The complete question is:
Name the property that is shown by each equation.
A. 6a + 4 = 4 + 6a
B. 30 + 60 = 15(2 + 4)
C. 3(8x + 4) = 3(4 + 8x)
D. 4(6a) = (4 · 6)a
Rami practices his saxophone for 56 hour on 4 days each week. How many hours does Rami practice his saxophone each week
This tells you he practiced for 3 2/6
How many hours does rami practice his saxophone each week?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.
We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value.
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
Given,
you take 5/6 and multiply it by 4/1.
which gives you 20/6
then reduce it by dividing the top number by the bottom number
which gives you 3 with a remainder of 2
you then place the remainder over the
This tells you he practiced for 3 2/6
The complete question is :Rami practices his saxophone for 5/6 hour on 4 days each week.
How many hours does Rami practice his saxophone each week?
[] 2/[] Hr
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Graph the line that passes through the points (-3, -1) and (1, -1) and
determine the equation of the line.
Answer:
y = -1
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
To find slope we look for the rise/run or (y2 - y1) / (x2 - x1)
The slope here is 0, and the y-intercept is located at (0,-1), so the equation is
y = -1
Answer:
y = -1
Step-by-step explanation:
HELP THIS IS URGENT!!!!!!!!!!
Find the percent decrease from 133 to 120. Round your answer to the nearest tenth
PLEASE MARK BRAINLIEST
Find the percent decrease from 133 to 120. Round your answer to the nearest tenth
1. Subtract
133-120= 13
2. Find
13/133 x 100
1300/133
= 9.77443609
3. Round
9.77 rounded is 9.8
Answer: 9.8%
Answer:
9.8 is your answer
the percentage decrease from 133 to 120 is 9.7744
but rounded to the nearest tenth is 9.8
Who can solve these equations?
let's hmmm hmmm multiply both sides by the LCD of all denominators, that way we do away with the denominators and see what "x" is
[tex]\cfrac{x+1}{2}+\cfrac{x+2}{3}=3-\cfrac{x+3}{4}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{x+1}{2}+\cfrac{x+2}{3} \right)=12\left( 3-\cfrac{x+3}{4} \right)} \\\\\\ (6x+6)+(4x+8)=36-(3x+9)\implies 10x+14=36-3x-9 \\\\\\ 10x+14=27-3x\implies 10x=13-3x\implies 13x=13 \\\\\\ x=\cfrac{13}{13}\implies x=1 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{1-4x}{10}-\cfrac{2x+1}{2}=\cfrac{5x+1}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{1-4x}{10}-\cfrac{2x+1}{2}\right)=10\left( \cfrac{5x+1}{5} \right)} \\\\\\ (1-4x)-(10x+5)=10x+2\implies 1-4x-10x-5=10x+2 \\\\\\ -14x-4=10x+2\implies -4=24x+2\implies -6=24x \\\\\\ \cfrac{-6}{24}=x\implies -\cfrac{1}{4}=x[/tex]
(I need the answer as FAST as possible so if anybody could help that would be greatly appreciated)
NOW IT HAS TO EQUAL TO 100 WHERE DO YOU PUT THE PARENTHESES!!!! HELP QUICK PLS
4+2•3^2
IT HAS TO EQUAL 100
Answer: (4+2)•(3^2?
Step-by-step explanation: I hope that helps I don't know how to explain but ya. But that's where u put the parentheses.
Answer:
(4+2×3)^(2)
Step-by-step explanation:
First, because parenthesis are being used, we will start by multiplying 2 by 3, giving us 6
(4+6)^(2)
Then, we add 6 to 4
(10)^2
and we then raise 10 to the 2nd power
100
A survey found the following number of pets in different households.
4, 1, 0, 2, 1, 3, 1
What is the mean absolute deviation for the number of pets?
Therefore , the solution to the given problem of mean comes out to be the sample size yields the equivalent number of households is 30.
What is mean?Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the total number of values in the dataset by the total number of values in the dataset. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the numbers in a set of data and dividing the total by the total number of numbers.
Here,
Given:
Mean = 2
Four pets are two standard deviations away from the mean, and one standard deviation equals one pet.
We can determine that at least
100 (1-1k2)% = 100 (1-1/4)% = 75%
is within 2 standard deviations of the mean using Chebyshev's Rule with
k = 2.
The percentage times the sample size yields the equivalent number of households:
=> 75% x 40 = 30
Therefore , the solution to the given problem of mean comes out to be the sample size yields the equivalent number of households is 30.
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How do you graph inverse functions and relations?
An inverse relation and function is the opposite of a relation and functions.
An ordered pair collection is referred to as a relation. Let's think about the two sets A and B. The cartesian product of A and B, indicated as A x B, is the set of all ordered pairs of the form (x, y), where x A and y B. A relation is any subset of the cartesian product A x B.
The inverse function f-1 takes each element in the range of an original function f and transfers it to the equivalent element in the function's domain. F must be one-to-one and onto since we are mapping the function f backward.
An onto function only has one output for each input, but a one-to-one function only has one input in the domain for each output in the range. This implies that each input has precisely one input for each output in order to have both.
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Plot the data in a scatter plot
A scatter plot which represents relationship between the time (in hours) and height (in meters) has been plotted in the image attached below.
How to construct and plot the data in a scatter plot?In this scenario, the time (in hours) would be plotted on the x-axis (x-coordinate) of the scatter plot while the height (in meters) would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
From the scatter plot (see attachment) which models the relationship between the time (in hours) and height (in meters), a linear equation for the line of best fit is given by
y = -0.29x + 0.52
In conclusion, we can reasonably infer and logically deduce that the scatter plot indicates an inverse relationship between the time (in hours) and height (in meters).
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Simplifying algebraic expressions
Answer:
Step-by-step explanation:
Plug in 5 for h
6(5)+7(5)
30+35=65
65
Answer:
[tex] \sf \: 6h + 7h = 65[/tex]
Step-by-step explanation:
Given information,
→ 6h + 7h
→ h = 5
Now the final value will be,
→ 6h + 7h
→ 6(5) + 7(5)
→ 30 + 35
→ 65 => final value
Hence, the answer is 65.