The Answers to the Equation is shown below.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1. 5x - 7 = 4x +3
5x- 4x = 3 + 7
x= 10
2. 6 + 2x = 7x - 9
7x- 2x = 6+9
5x = 15
x= 3
3. 8x + 1 = - 8 - x
9x = -9
x= -1
4. -5+ 12x = 18x + 7
6x = -12
x= -2.
5. -4x+ 3= 5x- 13 -x
-8x = -16
x= 2
6. -10 - 11x + 24 = 3x
14x = 14
x=1
7. 8 + 3x = x + 11 + 2x
No Solution
8. 5 +17x +9 = 2x + 21x + 14
6x= 0
x=0
9. 6x + 8 - 13x + 10 = 4 - 6x - 11 + 4x
-5x= 25
x= -5
10. -14 + 5 - x - 3 =x+6+3x + x
4x= -14
x= -3.5
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Both Andrew and Karleigh recorded the distance they ran in x minutes on treadmills.
Andrew
Karleigh
Time in Distance
Minutes
in Miles
18
24
1.5
2
OA) (4,0)
Time in Distance
in Miles
Minutes
30
40
3
Andrew and Karleigh each run for 1 hour. Which statement explains who ran a
greater distance?
C)
Andrew ran a greater distance.
his table increased at a rate of
10
mile per minute.
4
B) Andrew ran a greater distance. The slope of the line described by the data in
his table increased at a rate of mile per minute compared to Karleigh's
12
The slope of the line described by the data in
mile per minute compared to Karleigh's
D) Karleigh ran a greater distance. The slope of the line described by the data in
her table increased at a rate of mile per minute compared to Andrew's
mile per minute
The correct statement regarding the proportional relationships is given as follows:
B. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of 1/10, compared to 1/12 for Andrew.
How to obtain who run faster?
To obtain the person who runs faster, we need to look at their rates, as the time and the distance form a proportional relationship.
Andrew ran 1.5 miles in 18 minutes and 2 miles in 24 minutes, hence his rate is given as follows:
k = 1.5/18 = 2/24 = 1/12 = 12 minutes per mile.
Karleigh ran 3 miles in 30 miles and 4 miles in 40 minutes, hence her rate is given as follows:
k = 3/30 = 4/40 = 1/10 = 10 minutes per mile.
Due to the lower number of minutes per mile, Karleigh ran faster, and the correct option is given by option B.
Missing InformationAndrew ran 1.5 miles in 18 minutes and 2 miles in 24 minutes.
Karleigh ran 3 miles in 30 miles and 4 miles in 40 minutes.
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Is √ 3x² 5y is a polynomial?
Yes, 3x²A5y is a polynomial.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
we need to check whether 3x²A5y is a polynomial.
An expression is combination of variables, numbers and operators.
For an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
3x²A5y is a polynomial.
Hence, 3x²A5y is a polynomial.
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What are the vertical and horizontal asymptotes for the function f/x )= x2 x 6 x 3 1?
The function given by the question, [tex]f(x) = \frac{x^{2} }{6x+31}[/tex] , the vertical asymptote will be at x = -31/6 and there will be no horizontal asymptote.
What is horizontal asymptote?A horizontal asymptote is a line that guides the graph of a function for x-values that are "far" to the right or left but not on the graph itself. The graph might cross it, but ultimately, for sufficiently big or sufficiently low values of x, the graph would approach the asymptote without hitting it. A slant asymptote has a specific instance known as a horizontal asymptote.
What is vertical asymptote?A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's scope, the graph can never cross it. There may be several vertical asymptotes for a given function.
Solve 6x + 31 = 0 for x to obtain the vertical asymptotes of the function x2/(6x+31). The vertical asymptote is x = -31/6 because x = -31/6 is the solution. Because the degree of the numerator is larger than the degree of the denominator by 2, the function has no horizontal asymptotes (1).
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Area of irregular shapes
Answer:
The area of the irregular shape is 268.8.
Step-by-step explanation:
To find the area of an irregular shape, we first have to break it into common shapes, here, in this case, we will break it into a rectangle with sides 14 and 8 and a triangle with a base length equal to 14 and the opposite angle to the base is equal to 32°.
The area of the rectangle is equal to the product of the side lengths which is equal to [tex]14*8=112[/tex]. Therefore [tex]A_{1} =112[/tex].To find the area of the triangle we have to find the height of the triangle. Since [tex]tan32=\frac{14}{Height}[/tex], this implies height is equal to [tex]\frac{14}{tan32}=22.40[/tex]. Now the are of triangle is equal to product of half times bease times height . [tex]A_{2} = \frac{1}{2}*14*22.40= 156.80[/tex]Therefore the area of the given irregular shape is equal to [tex]A=A_1+A_2\\A=112+156.8\\A=268.8[/tex]To learn more about the area of irregular shapes, refer to the link below:
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You need to divide the number of cars by the number of people to calculate cars per person on day 1
The correct formula that you need to enter in excel to divide the number of cars by the number of people is = B92/ C92.
What is Microsof excel?This is spreadsheet program mainly used to organize numerical and non-numerical data using tables and graph. One of the advantages of this program is that it allows you to set formulas to automatically obtain results by applying mathematical operations to the cells selected.
How to use a formula in this case?Considering the task is to divide the number of cars by the number of people, the correct symbol to use is the symbol / or divide. Moreover, in the formula you need to include the correct cells. In this case, the number of cars is cell B92 and the number of people is cell C92. Therefore, the correct complete formula is B92/ C92.
Note: This question is incomplete; here is the missing section:
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The price of a commodity was increased in the ratio 5:4. After one month the same commodity was reduced in the ratio 7:8 to attract more customers. If the new price is sh35 calculate the price of the commodity before the increase
Answer:
sh. 32
Step-by-step explanation:
Before the reduction, the cost was [tex]35(8/7)=[/tex]sh. 40.
Therefore, the price before the increase was [tex]40(4/5)=[/tex]sh. 32.
What is the order of the angle from largest to smallest?
Obtuse angles, right angles (90 degrees), and acute angles are the three sorts of angles that we can distinguish in order from largest to smallest (smaller than a right angle).
What are angles?In Euclidean geometry, an angle is made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively. Angles can be formed by two rays in the plane where they are placed.
Additionally, when two planes overlap, angles are created.
Dihedral angles are what they are called.
The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.
A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees.
Order of angles from largest to smallest: obtuse angles are the three types of angles that we can recognize (larger than a right angle), Right angles (90 degrees), and acute angles (smaller than a right angle).
Therefore, the order of angles from largest to smallest: obtuse angles are the three types of angles that we can recognize (larger than a right angle), Right angles (90 degrees), and acute angles (smaller than a right angle).
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A spinner is spun that has 15 equal-sized sections numbered 1 to 15. What is the probability the spinner lands on an odd
number?
Answer:
8/15
Step-by-step explanation:
There are 15 equal-sized sectors:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
The odd ones are:
1, 3, 5, 7, 9, 11, 13, 15
There are 8 odd numbered sectors.
p(event) = (number of desired outcomes)/(total number of possible outcomes)
p(odd) = 8/15
What are the 8 parallel lines?
Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.
What is answer parallel line?
In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.
Parallel lines are two lines in the same plane that are equal distance apart and never intersect.
Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.
Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet.
Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.
these are 8 parallel lines
2x+3y = 6
2x+3y = 4
2x+3y = 1
2x+3y = 2
2x+3y = 3
2x+3y = 8
2x+3y = 7
2x+3y = 5
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What is variable in algebra for Class 6?
A symbol (often a letter) used in mathematics to represent an unknowable numerical value in quite an equation or algebraic statement.
What is the definition of variable in algebra?A symbol (often a letter) used in mathematics to represent an unknowable numerical value in such an equation or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.Typically, "x" and "y" are used to express unknowable integers. However, it is not required; any letter will do.Example:
Consider the algebraic statement 2x + 6 as an example. In this case, the variable x is open to interpretation. If x = 1, the algebraic expression's value will be 2(1) + 6, or 8.To know more about the variable in algebra, here
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what is 14 divided by 3 as a fraction than in mixed numbers?
Answer: 4 2/3
Step-by-step explanation:
14/3 is an improper fraction. Let's take the numerator and divide it by the denominator.
Divide 14 by 3. The quotient digit is 4.
Multiply the quotient digit 4 by the divisor 3.
Subtract 12 from 14.
The result of 14 divided by 3 is 4 with a remainder of 2.
Thus, 14/3 as a mixed number can be written as 4 2/3.
14/3 as it can't further cut out.
Because in a mixed number it is 4 2/3. This can be expressed as a fraction by multiplying the whole number (4) by the denominator (3) and adding it to the numerator (2), giving a fraction of 14/3.
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When constructing an angle bisector, the compass must be used to make three arcs. do all three arcs need to have the same radius? explain.
When constructing an angle bisector using a compass, all three arcs do not need to have the same radius.
To construct an angle bisector, you first place the point of the compass on one of the angle's vertices and draw an arc that intersects both sides of the angle. Next, you place the point of the compass on the other vertex of the angle and draw another arc that also intersects both sides of the angle. Finally, you draw a straight line through the point where the two arcs intersect, which will bisect the angle.
The radius of the compass does not affect the construction of the angle bisector, as long as the compass is set to a radius that is large enough to intersect both sides of the angle at some point. As long as the arcs intersect, the angle bisector can be accurately constructed, regardless of the radius of the arcs.
The complete question is:-
When constructing an angle bisector, the compass must be used to make three arcs. Do all three arcs need to have the same radius? Explain.
- Yes, because then the marks are equidistant from each other.
- Yes, because you need the points of intersection of the angle and arcs to form a parallelogram.
- No; the second two arcs must have the same radius but it can be different from the first.
- No; any three radii will work.
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What is the median numbers 4 8 10 5 9?
The required median of the given data set is 8.
What do we mean by media?Finding the middle number requires sorting all the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers).
Example: When the numbers are arranged (1, 4, 7), the number 4 lies in the middle, making it the median of 4, 1, and 7.
So, we have the data:
4, 8, 10, 5, 9
Arrange in ascending order as follows:
4, 5, 8, 9, 10
Since 8 is the number in the middle then it is the median.
Therefore, the required median of the given data set is 8.
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Prakah core x mark in cience and 90 mark in math what in hi total core in cience and math?
Prakash's total score in math and science is (x+90)marks
This word problem will need as to write what we have been given and analyze and come up with an equation to solve it
We are given that Prakash's score in science is = x marks
and that Prakash's score in mathematics = 90 marks
Therefore to get the total score in both math and science will we have to add the score Prakash scored in math and the score Prakash scored in science:
This will translate to (x) +(90)
We will get the total as x+90
hence the total score will be x+90 marks
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What is the factor of x³ 3x² 9x 5?
(x+1) & (x-5) are the factors of given equation.
The given Equation is,
x3- [tex]3x^{3}[/tex] - 9
Substitute - Substitute means to put something in the place of another and in mathematics substitution means putting numbers in the place of letters. It is used to calculate the value of an expression.Here, If we substitute x =5, in the given equation, then we find
(5)3 - 3(5)3 - 9*5 -5 = 0
x-5 is factor of given equation to find another factor dividing given equation by x-5
we will get =(x2+2x+1) after dividing the equation by x - 5
Hence x3- [tex]3x^{3}[/tex] - 9 =(x2+2x+1) (x-5)
=(x+2)2 (x-5)
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Which one would it be? A dog eating 4 cups each day, or A man eating 3 pieces of pizza in 15 minutes, I'm really confused.
Answer:
A dog eating 4 cups each day
Step-by-step explanation:
Because the unit rate is like a unit number over 1.
Example: 3 miles per hour
So, I think the answer is A dog eating 4 cups each day
Collect like terms y + 2 y
Answer:
y + 2y = 3y
Explanation:
y and 2y are like terms. Their sum is 3y
When $36$ consecutive integers are added, the result is $-18$. What is the greatest product that can be obtained by multiplying two of these $36$ integers?
The greatest product that can be obtained by multiplying two of these 36 integers is; 306
How to solve mathematical sequence?We are told that when 36 consecutive integers are added, the product is -18.
Now, the sequence for these integers would be;
x, (x + 1), (x + 2), (x + 3),......(x + 35)
Now, since the addition of these integers gives a negative number, then it suggests to us that the sequence starts with a negative integer and then ends with a positive integer.
Thus, we have;
x + (x + 1) + (x + 2) +(x + 3) + (x + 35) = -18
The formula for sum of an arithmetic sequence is;
Sₙ = (ⁿ/₂)(2a + (n - 1)d)
where a is first term and d is common difference
Thus;
-18 = (36/2)(2x + (36 - 1)1)
-18 = 18(2x + 35)
-18/18 = 2x + 35
2x + 35 = -1
x = -34/2
x = -17
Thus;
The first term = -17
Last term = -17 + 35 = 18
Thus, the greatest product that can be obtained = 18 * 17 = 306
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Answer:
306
Step-by-step explanation:
The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is?
The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling
The judgement sampling is a non probability that the researcher selects units to be sampled based on his own knowledge and professional judgement. Here the probability is not a factor.
The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.
Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement
Therefore, the sampling method is judgement sampling
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How did you know that ordered pair satisfies the linear inequality in two variables?
Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.
What do you mean by a ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
What is linear inequality?When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.
ordered pair=(1,2)
linear inequality equation,
[tex]4x_{1}-x_{2} > 0[/tex]
using value from ordered pair,
[tex]4*1 - 2 > 0[/tex]
[tex]2 > 0[/tex]
which is true. That is it satisfies the given linear inequality.
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What is the requirements for SSS update status?
Without going to an SSS branch, members of SSS can update or amend their contact information, including their phone number, cell number, postal address, overseas address, and email address.
A passport Member's copy of Personal Records (SS Forms E-1, RS-1, OW-1, and NW-1) lawfully received by the SSS where the proper sex is specified is a needed document. If the sex on the birth certificate is entered incorrectly or if a birth certificate correction petition is lodged, the court will allow the petition.
Application Conditions
An application for a member loan.
E-6 (acknowledgement stub) with any two legitimate IDs, one of which has a current photo, or SSS digital ID. valid driving license. ID card from the Professional Regulation Commission (PRC). Passport. a postal ID. ID from a company or school. TIN card: a tax identification number.
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Given the following function, find the coordinates of the vertex of f(x):
f(x)=x²- 2x - 15
A. (1, -16)
B. (-1, -12)
C. (-1, -14)
D. (1, -17)
Ο.Α.
OB
O C
OD.
Answer: A. (1, -16)
Step-by-step explanation:
Use a graphing calculator.
ignore my writing :)
Answer:
Below
Step-by-step explanation:
In a RIGHT triangle, sin (angle ) = opposite leg/ hypotenuse
sooooo sin (x) = 7.1/8.5
sin (x) = .835
x = arcsin (.835) = 56.6°
What is the coefficient of x in the expression 4x+ 3y?
The coefficient of x in the expression 4x+ 3y is 4. This means that for every x there is 4 times as much as for every y. The coefficient of x is the number that is multiplied by x in the expression.
In the expression 4x+ 3y, the coefficient of x is 4. This means that the x is multiplied by 4. The coefficient of a term is the number that is multiplied by the variable. In this expression, the x is multiplied by 4 and the y is multiplied by 3. This means that for every x there is 4 times as much as for every y. In order to find the coefficient of x in the expression, we must look at the number that is multiplied by x. In this case, the number is 4. This means that the coefficient of x is 4. For example, in this expression, the coefficient of x is 4 which means that for every x there is 4 times as much as for every y.
4x + 3y
Coefficient of x = 4
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What is the scale factor of congruent?
Answer: Since all the corresponding sides of two congruent polygons will be equal, their scale factor will be 1.
Step-by-step explanation:
what is the range of the function y=-8x+5 when the domain is {-2,2,4}
Answer:
{-27, -11, 21}
Step-by-step explanation:
[tex]x=-2 \implies y=-8(-2)+5=21 \\ \\ x=2 \implies y=-8(2)+5=-11 \\ \\ x=4 \implies y=-8(4)+5=-27[/tex]
What does B stand for in area formula?
Express the area of a rectangle with length 3x²y and width 4y³ as a monomial.
Area =
Area of rectangle= [tex]12x^{2} y^{4}[/tex] id from given breadth and length of rectangle that are given in form of monomial.
What are monomial and binomial?The result of non-negative powers of variables is a monomial. A monomial will only have one term and no variables in the denominator.
A binomial, which is the product of two monomial, has two dissimilar terms.
The area of a rectangle with length l and width w is given by the formula
A = l×w.
In this case,
length of the rectangle = 3x²y
width = 4y³
Therefore, the area of the rectangle is given by A = 3x²y * 4y³
= [tex]12x^{2} y^{4}[/tex]
This is a monomial because it is a single term that contains only variables and their exponents.
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Min read his book for 13 hour before dinner. He read his book for 114 hours after dinner.
Altogether, how many hours did Min read his book?
Responses
1 1/6 hours
1 2/7 hours
1 1/2 hours
1 7/12 hours
QUICK
Answer:
1 7/12 hours
Step-by-step explanation:
1/3 + 11/4
The common factor is 12
4/12 + 13/12 = 1 7/12
Is 4th root a function?
Answer:
yes
Step-by-step explanation:
It is! A function is defined as an operation that when given a number, it returns a unique number back. The 4th root satisfies this, so it is a function!
hope this helps :)