A statement that explains the equation 13x - 13y = -26 shares a solution with given system of equations because 13x - 13y equals 55.
What is defined by system of equations?Linear equations (those that graph as straight lines) are easier to solve than non-linear equations, as well as the simplest linear system has two equations and two variables.The equation system is presented below;
10x - 3y = 29 .........equation 1
-3x + 10y = 55 ..........equation 2
As a result of subtracting equation (2) from equation (1), we get;
By subtracting equivalent expressions, (10x - 3y) - (-3x + 10y) = 29 - 55.
13x - 13y = 29 - 55 = -26
Provided that the operation on equations (1) and (2) is the same, the given equation is 13x - 13y = -26.
We can see from the subtraction of equivalent representations that the solution for the
The solution for given equation, 13x - 13y = -26, is like the solution for given equation.
The reason why 13x - 13y = -26 has the same solution as the system of equations is that -3x + 10y is equal to 55, so we can subtract -3x + 10y from the left side of 10x - 3y = 29 and subtract 55 from the right side.
Thus, subtracting equivalent representations from each side of the an equation has no effect on the equation's solution.
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twice a number increased by three is between negative three and seven
The number can be -3, -2, -1, 0 ,1
Here, we are given that twice a number is increased by three and the result is between negative three and seven.
Let the number be x
Twice of the number = 2x
Four more than twice the number = 2x + 4
This number is between -3, 7
⇒ -3 < 2x +4 < 7
subtracting 4 from both sides we get
-3 -4 < 2x < 7 - 4
-7 < 2x < 3
Dividing both sides by 2 we get
-7/2 < x < 3/2
- 3.5 < x < 1.5
Thus the original number lies between -3.5 and 1.5
This means that it can take 5 values-
-3, -2, -1, 0 ,1
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Kara earns $8 per hour
plus a $40 one-time bonus.
She works between 16
and 20 hours in a week.
What is the greatest value in
range of this situation?
The greatest value in range of work situation is $200.
What is referred as the inequality?a statement of an order relation between two figures or algebraic expressions (greater than, greater or equal to, less than, or less than as well as equal to).a statement of an order relationship between two numbers or algebraic expressions (greater than, greater than or equivalent to, less than, or less than or equal to).For the given question;
The one time bonus is $40.
Amount earned by Kara per hour is $8.
The range of working hours lies between 16 to 20 hours in a week.
Let 'x' be the number of hours Kara worked.
The the inequality will be;Then, the equation for the amount earned in a week is;
Total pay = one time pay + 8×number of hours
Total pay = one time pay + 8x
The greatest value will be earned by the kara when she will work for 20 hours.
Thus, put x = 20.
Total pay = one time pay + 8×20
Total pay = 40 + 8×20
Total pay = 200
Therefore, the total greatest pay earned by the Kara is $200.
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A line is perpendicular to y = -x-2
and intersects the point (-5, 10).
What is the equation of this
perpendicular line?
y = x + [?]
The equation of the perpendicular line is y = x + 15.
How to determine the equation of the perpendicular line
In this problem we need to determine the equation of the line perpendicular to another line, that intersects at the point (x, y) = (- 5, 10). The explicit form of the equation of the line is defined by the following first order polynomial:
y = m · x + b
Where:
m - Slopeb - y-Interceptx - Independent variabley - Dependent variableThe first line has a slope - 1 and the slope of the second line is:
m' = - 1 / m
m' = 1
Then, the intercept of the second line is:
b = y - m · x
b = 10 - (- 5)
b = 15
The equation of the perpendicular line is y = x + 15.
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-23/20 in a decimal form long division
(-23/20) in a decimal form long division will be equal to (-1.15)
As per the question statement, we are provided with a fraction: (-23/20).
We are required to calculate the simplest form of the fraction in decimals using to the long division method.
The long division method works with 4 component: dividend, divisor, quotient and remainder. And the steps to perform the long division method are as follows:
Step 1: To take the first digit of the dividend from the left and check if this digit is greater than or equal to the divisor.
Step 2: Then, to divide it by the divisor and write the answer on top as the quotient.
Step 3: To subtract the result from the digit and write the difference below.
Step 4: To bring down the next digit of the dividend (if present).
Step 5: To Repeat the same process.
Hence, converting the fraction (-23/20) to decimal values using the process of long division method mentioned above, we get (-1.15).
Long Division method: In Mathematics, long division is a standard division algorithm suitable for dividing multi-digit Hindu-Arabic numerals that is simple enough to perform by hand, by breaking down a division problem into a series of easier steps, as mentioned above.To learn more about Long Division method, click on the link below.
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Find the coordinates of the mid point if the end points are (2,-6) (-8,5)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 +2}{2}~~~ ,~~~ \cfrac{ 5 -6}{2} \right) \implies \left(\cfrac{ -6 }{2}~~~ ,~~~ \cfrac{ -1 }{2} \right)\implies \left(-3~~,~~-\cfrac{1}{2} \right)[/tex]
what is (−2.1)⋅(−1.4)
..........................................................................................................................................................................
Answer:
0.012÷2=12 thousandths ÷ 2
The following dotplot shows the number of songs on each album in Sal's collection. Each dot represents a different album.
A dot plot with an axis labeled "number of songs" and numbered from 0 to 20 in increments of 1, with 19 points. 4, frequency 1. 7, frequency 1. 8, frequency 2. 9, frequency 2. 10, frequency 4. 11, frequency 1. 12, frequency 2. 13, frequency 2. 14, frequency 1. 16, frequency 1. 18, frequency 1. 20, frequency 1.
Here is the five-number summary for these data:
Five-number summary
min \text{Q}_1Q
1
start text, Q, end text, start subscript, 1, end subscript median \text{Q}_3Q
3
start text, Q, end text, start subscript, 3, end subscript max
444 999 101010 131313 202020
According to the 1.5\cdot \text{IQR}1.5⋅IQR1, point, 5, dot, start text, I, Q, R, end text rule for outliers, how many high outliers are there in the data set?
Choose 1 answer:
Using the quartiles of the data-set, it is found that there is one high outlier in the data-set.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set, which is also the 25th percentile.The third quartile is the median of the second half of the data-set, which is also the 75th percentile.The interquartile range is the difference between the third quartile and the first quartile.The dot plot shows the frequency of each observation, hence the complete data-set is given by:
4, 7, 8, 8, 9, 9, 10, 10, 10, 10, 11, 12, 12, 13, 13, 14, 16, 18, 20.
The quartiles are found as follows:
The first half is composed by the first 9 elements, given by 4, 7, 8, 8, 9, 9, 10, 10, 10, hence Q1 = 9.The second half is composed by the last 9 elements, given by 11, 12, 12, 13, 13, 14, 16, 18, 20, hence Q3 = 13.The IQR is given by:
IQR = Q3 - Q1 = 13 - 9 = 4.
The high outliers are the values that are more than 1.5 IQR above Q3, hence the threshold is given by:
13 + 1.5 x 4 = 19.
There is only value greater than 19, which is of 20, hence there is one high outlier in the data-set.
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Answer:
answer was 0
Step-by-step explanation:
Sort the following numbers into the correct category:
If you do this I will do the following: Like, Friend you, (if you want me to.) give you the brainiest, (when two people answers then I will be able to pick the best one.) and I believe that is all! Please do this and if you do not do it correctly like I wanted it and yes, I do want it to be actually “CORRECT.” So please help me complete this.And once you have done this I will say, “Thank you for your help!” :)
Answer:
sqrt of 49 is simplified as 7 so its a rational that can be put in all the rows
Step-by-step explanation:
Rational numbers: -1.3, 2.7777.., 25/2 also known as 12.5, O
Integers: sqrt of 49 also known as 7, 0
Whole numbers: sqrt of 49 also known as 7, 0
Natural numbers: sqrt of 49 also known as 7, 0
Irrational numbers: sqrt of 2, Pi,
Barbara has x dollars to spend. Joe has 2x + 3
dollars to spend. Which of these expressions
represents the total amount of money Barbara and
Joe have to spend?
Answer: A
Step-by-step explanation: A because you have to find the total amount of money so you a X
i think/ hope
Help please I cant figure it out.
3 Kayla works at a bookstore. One of her jobs is to take books that arrive and place
them on bookshelves in the store. She has four shelves for a shipment of 1 4/5 boxes
of a new novel. Will Kayla be able to stock all the books if each shelf can hold 2/5
box of books?
The figure below shows an image of Pac-Man from the classic video game. The "mouth" of Pac-Man forms a central angle of 55.0° in a circle with radius 4.00 millimeters.
Using the length of the perimeter of the Pacman is: 29.29 mm.
How to Find the Length of an Arc?Length of an arc = ∅/360 × 2πr
The length of the perimeter of the Pacman = length of the larger arc formed + 2r
∅ = 360 - 55 = 305°
r = 4.00 mm
The length of the perimeter of the Pacman = ∅/360 × 2πr + 2r
Substitute
The length of the perimeter of the Pacman = 305/360 × 2π(4.00) + 2(4.00)
The length of the perimeter of the Pacman = 21.29 + 8.00
The length of the perimeter of the Pacman = 29.29 mm
Therefore, using the length of the perimeter of the Pacman is: 29.29 mm.
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Aisha wants to ride her bicycle 18.2 miles this week. She has already ridden 5 miles. If
she rides for 4 more days, write and solve an equation which can be used to
determine m, the average number of miles she would have to ride each day to meet
her goal.
Answer:
3.3m each day.
Step-by-step explanation:
The equation will be 18.2 = 5 + 4m18.2=5+4m
Solve for m to get 4m = 13.24m=13.2
m = 3.3m=3.3
She would have to ride 3.3 miles each day to meet her goal.
Answer: 3.3 miles per day
Step-by-step explanation: 13.2/ 4=3.3
Help me out with this one!
Answer:
19/9
Step-by-step explanation:
Divide 19/9 using calculator or long division to check.
Hope this helps!
Please mark as brainliest if correct!
Please help!!!
Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.
[tex]\sqrt(3x-1)-2=0[/tex]
Step-by-step explanation:
[tex] \sqrt{3x - 1} - 2 = 0[/tex]
[tex] \sqrt{3x - 1} = 2[/tex]
[tex] \sqrt{3x - 1} = \sqrt{4} [/tex]
[tex]3x - 1 = 4[/tex]
[tex]3x = 4 + 1[/tex]
[tex]3x = 5[/tex]
[tex]x = \frac{5}{3} [/tex]
Here is a data set ( n = 117 ) that has been sorted. 51.7 56.8 65.3 66.8 67.3 68.1 68.1 68.3 68.6 68.7 69 69 69.6 69.7 69.9 70.2 70.8 71.2 71.3 71.4 71.7 72.3 72.6 72.9 73 73.4 74.3 74.4 74.6 74.6 75.2 75.4 75.5 75.5 75.7 75.9 76.3 76.7 76.8 77.3 77.4 77.9 78 78.3 78.3 78.5 78.7 79 79.4 79.6 79.6 79.8 80.2 81.1 82 82.1 82.2 82.4 82.9 83.1 83.3 83.4 83.4 83.5 83.6 83.7 83.7 83.8 84 84.1 84.5 84.6 84.9 85.1 85.3 85.3 85.5 85.5 86 86.7 86.9 87 87.6 87.7 87.7 87.7 87.8 88.4 88.5 88.8 89.1 89.1 89.1 89.3 89.5 89.7 90.4 90.5 90.6 91 91.1 91.2 91.9 92 92.2 92.8 92.9 93.1 93.9 94.1 95.1 95.6 96.9 97.1 97.3 97.5 100.1 find the 82nd-percentile:
The 82nd Percentile is 89.784
How to calculate percentile in statistics?The formula n = (P/100) x N, where P is the percentile, N is the number of values in a data collection (ordered from least to largest), and n is the ordinal rank of a particular value, can be used to determine percentiles. In order to comprehend exam scores and biometric measurements, percentiles are routinely utilized.
The values' percentiles as determined by the formula are displayed below.
Percentile Value 0th = 51.7 5th = 68.1 10th = 69.36 15th = 71.24 20th = 72.92 25th = 74.6 30th = 75.86 45th = 80.38 60th = 84.34 65th = 85.38 70th = 87.12 75th = 88.4 80th = 89.4 85th = 90.84 90th = 92.44 95th = 95.2 100th = 100.1
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6. The sum of an unknown number and 15 can be represented by the expression n+15. Give a binomial
expression, in simplest form, that represents three times this quantity.
The binomial expression in simplest form which represents three times this quantity is; 3n +45.
Which expression, in simplest form, represents three times this quantity?
According to the task content, it follows that the expression which represents the quantity as defined is to be expressed, in simplest form binomial.
Since the word phrase given in the task content is represented as; n +3.
Hence, three times this quantity as required in the task content is;
3(n +15).
Ultimately, when expressed as a binomial expression by expansion; we have;
(3×n) + (3×15)
=3n +45.
Therefore, the binomial expression in simplest form which represents three times this quantity as required is; 3n +45.
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A+number+is+stored+in+cell+c24.+in+cell+d24,+you+wish+to+calculate+5%+of+the+number+stored+in+cell+c24.+to+accomplish+this,+what+formula+should+be+entered+in+cell+d24?
Answer:
just put out + from the question.
-3, -5
a b
Step by step?
The given algebraic equation formula i.e., [tex](a^{2} -b^{2} )=(a+b)(a-b)[/tex] is verified for the given values of a and b of -3 and -5 respectively.
As per the question statement, we are supposed to verify the algebraic equation formula
[tex](a^{2} -b^{2} )=(a+b)(a-b)[/tex]
We are given that a = -3 and b = -5
Now substituting the values of a and b in the algebraic equation formula
[tex](a^{2} -b^{2} )=(a+b)(a-b)\\LHS = (a^{2} -b^{2} )\\LHS= ([-3]^{2} -[-5]^{2} )\\LHS=(9-25)\\LHS = -16[/tex]
LHS = Left hand side of the equation
Now considering RHS i.e., Right hand side
[tex]RHS = (a+b)(a-b)\\RHS = ([-3]+[-5])([-3]-[-5])\\RHS= (-8)(2)\\RHS = -16[/tex]
As Left Hand Side LHS = Right Hand Side RHS
Hence the equation, [tex](a^{2} -b^{2} )=(a+b)(a-b)[/tex] is verified for the given values of a and b and is true for all real values of a and b.
Algebraic Equation: The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, root operations.To learn more about algebra and equations, click on the link given below:
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write 196 as a product of primes.
use index notation when giving your answer
Answer:
The prime factorization of 196 is 196 = 2 × 2 × 7 × 7 and can be represented as 196 = 2 2 × 7 2 using exponents.
Answer:
2² × 7² = 196
Step-by-step explanation:
Will mark brainliest! HELP MEEE!!
Answer:
He needs to get 100% on his next test
Explanation:
(59 + 80 + 65 + 96 + 100) / 5
Two customers spent the same total amount of money at a restaurant.
• The first customer bought 8 hot wings and left a $4 tip.
• The second customer bought 10 hot wings and left a $2.80 tip.
• Both customers paid the same amount per hot wing.
How much does one hot wing cost at this restaurant in dollars and cents?
Record your answer in the boxes below. Be sure to use the correct place value.
+/-
Simplify fully
4x^2+4x/2x^2-2
Answer:
the answer i got is 2 (x+1) (2x^2-2x+1) / x :)
Answer:
[tex]\frac{2x}{x-1}[/tex]
Step-by-step explanation:
[tex]\frac{4x^2+4x}{2x^2-2}[/tex] ← factor numerator and denominator
= [tex]\frac{4x(x+1)}{2(x^2-1)}[/tex] ← cancel 4 and 2 on numerator/denominator by 2
= [tex]\frac{2x(x+1)}{x^2-1}[/tex] ← x² - 1 is a difference of squares
= [tex]\frac{2x(x+1)}{(x-1)(x+1)}[/tex] ← cancel (x + 1) on numerator and denominator
= [tex]\frac{2x}{x-1}[/tex]
After his first month he had more than he expected to have due to interest the bank provided. this let rob come up with a better expression. where w is the number of weeks. how much will he have in 1 year?
He will earn 2603.16 dollar in one year.
What is expression?An expression is a collection of terms that have been joined together using the operations +, -, or x, such as 4 x 3 or x 2 - x y + 17.
Two expressions are said to be equal in value by an equation, such as 4 b 2 = 6.
Given:
A copy of the entire query is provided below:
45w+ 155
He will therefore save
=45*6+155
=270+155 =425 dollars
so, w=6.
Knowing that a year equals 52 weeks
Also,
w=52 and
w²/25+45w+155
Thus,
=52*52/25+45*52+155
=108.1602340+155
= $263.16
Hence, he will make $2603.16 in a year.
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50 PoInts for math homework Waxton
Daniel makes $2,365 a month plus some money by commission. He gets 5% of everything he sells. If he sold $13,600 worth of items this month, what is his salary for the month?
Given mn, find the value of x.
PLEASE HELPP!
FIND THE MEASURE OF ANGLE A!!!
Answer:
123
Step-by-step explanation:
supplementary angles add up to 180
(5x - 22) + (x + 28) = 180
5x - 22 + x + 28 = 180
6x + 6 = 180
6x = 180 - 6
6x = 174
x = 174/6
x = 29
<A = 5x - 22 = 5(29) - 22 = 123
Please help meeeeeee I’m stressingggg out
Answer:
see attached for the tablelimit is 3Step-by-step explanation:
You want a table of values of the function sin(3x)/x as x nears zero, and an estimate of the limit of the function value as x → 0.
Table of valuesThe function f(x) = sin(3x)/x is an even function. That is ...
f(-x) = sin(-3x)/(-x) = -sin(3x)/-x = sin(3x)/x = f(x)
When f(-x) = f(x), the function is even. It is a reflection of itself across the y-axis. This means all of the function values for negative x-values are the same as for the corresponding positive x-values. We only need to fill in half the table to know what the other half looks like.
See the attachment for values calculated by a spreadsheet and rounded to 8 decimal places.
LimitThe table shows the difference from 3 gets smaller as x gets closer to 0. If we add more rows to the spreadsheet table (2nd attachment), we see that the value gets even closer to 3 as x nears zero. At x = 10^-7, we run up against the accuracy limits of the spreadsheet.
The limit of the expression is 3 as x approaches 0.
