If 2XY = YZ then XY = 1/2YZ this is division property of equality.
What are some properties of equality ?Division property of equality, multiplication property of equality, subtraction property of equality and addition property of equality.
According to the given question we have to define each property that we used to solve or interpret if 2XY = YZ, then XY = 1/2YZ.
This is division property of equality.
2XY = YZ
Now if we divide both sides of the equality by 2 we'll get
XY = 1/2 YZ and we know diving by a same constant on both sides of the inequality doesn't change the equality relation.
If 2XY = YZ, then YZ = 12YZ is not the correct question,The correct question is If 2XY = YZ then XY = 1/2YZ.
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3
f(x) = 7x - 5x
The function is
oddlever
because
f(-x) = f(x)
f(-x) = -f(x)
when testing for ODD or EVEN behaviour in a function, let's recall that we check what would the original function be if we were to use the argument -x in it? well, hell let's do that and check what's cooking.
keeping in mind that if EVEN, we'll get back the original function, if ODD well get back a negative version of the original function.
[tex]\stackrel{original}{f(x)=7x^3-5x} \\\\[-0.35em] ~\dotfill\\\\ f(~-x~)=7(-x)^3-5(-x)\implies f(~-x~)=7(-x)(-x)(-x)-5(-x) \\\\\\ f(~-x~)=7(-1)(x)(x)(x)+5x\implies f(~-x~)=-7x^3+5x \\\\\\ f(~-x~)~~ = ~~-\underset{f(x)}{(7x^3-5x)}\qquad \leftarrow \qquad \stackrel{\textit{\LARGE odd}}{\textit{negative version of the original}}[/tex]
Divide:
945 9 = [
Submit
R
With remainder
Answer:105 R 0
945 divided by 9 equals
105 with a remainder of 0
Step-by-step explanation:
Mr Walker sorted the dataset and got this:
[12, 25, 39, 45, 46, 52, 57, 60, 77]
What is the Interquartile Range? (IQR)
Answer:
In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal
Step-by-step explanation:
Answer:
mr walker sorted the dataset and got
Step-by-step explanation:
I NEED HELP BADLY!! 25 POINTS PLEASE PLEASE HELP
The coordinates of the vertices of quadrilateral ABCD are (−6,−1), (−5,2), (−1,−5), and (0,−2). Parker states that quadrilateral ABCD is a parallelogram. Prove or disprove Parker’s statement.
As the length of the sides AD ≠ BC the given quadrilateral ABCD is not a parallelogram.
What approach proves the lines are parallel?To prove that the given lines are parallel we have to determine their slope if the slope if equal then the lines are parallell.
We know that a quadrilateral is a parallelogram when opposite lines are of the same length and opposite lines are parallel to each other.
Given a quadrilateral, ABCD has coordinates A(−6,−1), B(−5,2), C(−1,−5), and D (0,−2).
∴ The quadrilateral ABCD t be a parallelogram length of AB = DC and length of AD = BC.
We know the distance formula is [tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
So, lenght of AB = [tex]\sqrt{ (-5+6)^2 + (2 + 1)^2[/tex].
AB = [tex]\sqrt{ 1 + 9}[/tex].
AB = [tex]\sqrt{10}[/tex] units.
Lenght of DC = [tex]\sqrt{(0+1)^2 + (-2+5)^2}[/tex].
DC = [tex]\sqrt{10}[/tex] units.
Now length of AD = [tex]\sqrt{0+6)^2 + (-2+1)^2[/tex].
AD = [tex]\sqrt{ 37}[/tex] units.
Length of BC = [tex]\sqrt{(-1+5)^2 + (-5+2)^2[/tex].
BC = [tex]\sqrt{25}[/tex].
BC = 5 units.
As BC ≠ AD therefore quadrilateral ABCD is not a parallelogram.
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Un ganadero tiene tiempo suficiente para alimentar 220 vacas durante 45 días. ¿cuántos días podrá alimentar con la misma cantidad de tiempo a 450 vacas?
Answer:
112.5 días
Step-by-step explanation:
450 vacas (45 días/220 vacas) = 112.5 días
How long will it take money to double if it is invested at the following rates?
(A) 6% compounded monthly
(B) 10.2% compounded monthly
(A) years
(Round to two decimal places as needed.)
(B) years
(Round to two decimal places as needed.)
The number of years it would take to double at 6% compounded annually is 11.55 years
The number of years it would take to double at 10.2% compounded annually is 6.8 years
What is the doubling time?When an amount earns at a compound interest, it means that the investment increases at an exponential rate. This means that the rate of growth in a new compounding period would be greater than the rate of growth at the previous compounding period.
When an amount is compounded monthly, it means that both the amount invested and the interest that has already been earned increases in value once a month, twelves times a year.
The formula that can be used to determine the number of years it would take the investment to double is:
Number of years it would take to double = In (FV / PV) / r
Where:
FV = future value PV = present value FV / PV = 2 r = interest rater = 6/12 = 0.5%
r = 10.2 /12 = 0.85%
Number of years it would take to double = In2 / 0.005 = 138.629 months
138.629 months / 12 = 11.55 years
Number of years it would take to double = In2 / 0.0085 = 81.547 months
81.547 months / 12 = 6.8 years
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A woman bought S shirts at $20 each and J jerseys at $ 15 each at a total Cost of $ 155. if however she had bought half as many Shirts, and twice as many jerseys, then the total Cost would have been $190. Evaluate S and J.
After solving the set of linear equation so formed, we conclude that value of "S" and "J" is 4 and 5 respectively.
As per the question statement, A woman bought "S" shirts at $20 each and "J" jerseys at $ 15 each at a total Cost of $ 155. However, the total cost would have been $190 if she had purchased half as many shirts and twice as many jerseys. We are supposed to find the value of "S" and "J"
Let us first form the set of linear equation so formed.
Cost of one shirt = $20
Cost of "S" shirts = $20 x S = 20S
Cost of one jersey = $15
Cost of "J" jerseys = $15 x J = 15J
Total cost = $155
20S + 15J = 155 is our first linear equation obtained.
Now if however she bought half as many Shirts, and twice as many jerseys, then the total Cost would have been $190 and the equation formed will be :
20(S/2) + 15(2*J) = 190
or 10S + 30J = 190, is our second equation
This question is a classic example of forming a set of linear equation in two variable out of any given statement.
Solving the two sets of equation we get, S = 4 and J = 5
Linear equation: An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation and if it is equation in two variables then both the variables will have linear power or power 1.To learn more about linear equation, click on the link given below:
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A cell phone company says that a fully charged battery lasts 14 hours. In reality, each battery behaves a little differently. For a large quantity of fully charged batteries, the mean length of time that batteries last is 14 hours, with a standard deviation of 1 hour. Assume that the lengths of time that battery charges last can be modeled by a normal distribution.
(a) What percent of fully charged cell phone batteries would be expected to last longer than 14 hours?
(b) What percent of fully charged cell phone batteries would be expected to last between 12 and 14 hours?
(c) What percent of fully charged cell phone batteries would be expected to last less than 15 hours?
(d) Would it be surprising if a fully charged cell phone battery lasted more than 17 hours? Explain why or why not.
The percentage is 50%
From the question we are told that
The mean is μ= 14 hours
The standard deviation is σ=1 hour
Generally on the normal distribution curve the mean divides the curve into two. with the half to the left of the mean (50% to the left )representing the percentage of the batteries that will last less than 14 hours and the area under the curve to the right (50% to the right)representing the percentage of batteries that will last longer than mean (14 hours )
Hence the percentage of the cell phone batteries that will be expected to last longer than 14 hours is 50%
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8TH GRADE MATH X AND Y AXIS PLEASE HELP
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
I have no clue what steps to do, please help.
All steps to prove for the value of x are given below.
What is meant by Angle bisector?
Angle bisector is refer to a line that split an angle into two equal angles.
Given that;
Measure of ∠DEH = (10x - 2)°
Measure of ∠HEF = (6x + 10)°
Ray EH is angle bisector of ∠DEF.
Now, Ray EH is angle bisector of ∠DEF.
Hence,
1. Measure of ∠DEH = Measure of ∠HEF
Reason = Ray EH is angle bisector of ∠DEF.
2. (10x - 2)° = (6x + 10)°
Reason = Measure of ∠DEH = (10x - 2)° and Measure of ∠HEF = (6x + 10)°
3. 10x - 2 - 6x = 6x + 10 - 6x
Reason = Subtract 6 both side.
4. 4x - 2 = 10
Reason = Apply sum or difference rule.
5. 4x - 2 + 2 = 10 + 2
Reason = Add 2 both side.
6. 4x = 12
Reason = Apply sum or difference rule.
7. x = 3
Reason = Divide 4 both side.
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What is MxN simplified
M x N simplified is M x N.
Answer:
MN
Step-by-step explanation:
What is the scale being used for the image with a book 1.5 inches by 3 inches?
When the image of the book is shown on the website as 1.5 inches and it's 3 inches tall on the monitor of the computer the scale is 1 inches : 6 inches.
How to illustrate the information?It should be noted that from the information, the image of the book is shown on the website as 1.5 inches and it's 3 inches tall on the monitor of the computer.
Therefore, the actual book is 9 inches wide, the scale factor that was used till be:
= Original width / New width
= 9 / 1.5.
= 6.
Therefore the scale factor that was used is 1 inches : 6 inches.
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an image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide. What scale is being used?
flor compró 2 enterOS 5/8 m de la tela roja, 1 entero 1/3 m de la tel< azul y 3 enteros 1/6m de la tela amarilla ¿cuantos metros de tela compró en total.
The fraction of the fabric is 7 3/24m.
How to calculate the fraction?It should be noted that from the information, Flor bought different fractions of fabric and we want to calculate the total.
Therefore the total fractions will be:
= 2 5/8 + 1 1/3 + 3 1/6
= 2 15/24 + 1 8/24 + 3 4 / 24
= 6 27 / 24.
= 7 3/24
The total fraction is 7 3/24 m.
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Evaluate. Write your answer as a fraction or whole number without exponents. 2–4 =
The written form of number/expression given; 2-⁴ such that the number is written as a fraction or whole number without exponents is; 1/16
What is the value of the expression given; 2-⁴ such that it is written as a fraction or whole number without an exponent?It follows from the task content that 2-⁴ is to be written as a fraction without exponents.
On this note, it follows from the laws of indices that the expression can be evaluated as follows;
2-⁴
= 1/2⁴
= 1/(2×2×2×2)
= 1/16.
Ultimately, the written form of number/expression given; 2-⁴ such that the number is written as a fraction or whole number without exponents is; 1/16.
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A packing crate can hold 205 avocados. There were 7,000 avocados picked at a large grove. The owner has 36 packing crates. Does he have enough crates to ship out the avocados? Explain.
Answer: He does have enough crates to ship out the avocados.
Step-by-step explanation: 205 avocados fit inside a shipping container. At a big grove, 7000 avocados were picked. 36 cargo containers belong to the owner. As a result, he can fit a total of = avocados. And since he has 7000 avocados, he does indeed have enough crates to carry the fruit.
What is 4.5E-11 written in scientific notation
Answer: 4.5 x 10^-11
Step-by-step explanation:
4.5E-11 = 4.5 x 10^-11 ==> 4.5e-11 is basically 10^-11 multiplied by 4.5
Luna started off with $250 in her bank account she bought 3 x-box games that cost 12.75 each and 2 playstation games that cost 22.50 each how much money left in her bank account. Can some help me please
Answer:
$166.75
Step-by-step explanation:
look at the photo.
Hope this helps. Please mark me brainliest!
Melody can run 3 miles for every half hour she is out running. Write an equation to represent the
proportional situation.
Answer:
y = 6h h = hour
Step-by-step explanation:
Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 5-in squares from each corner. The length of the original piece of cardboard is 10 in more than the width. If the volume of the box is 1875 in3, determine the dimensions of the original piece of cardboard.
The dimensions of the original shapes are 15 and 25 inches respectively
How to determine the dimensionsThe formula for volume of a rectangle is expressed as;
Volume = length × width × height
From the information given, we have;
Length = yWidth = y + 10Height = 5Volume = 1875Substitute the values
1875 = 5 × y × y + 10
Divide both sides 5
1875 / 5 = y(y + 10)
expand the bracket
375 = y² + 10y
y² +10y - 375 = 0
y² + 25y - 15y - 375 = 0
y(y + 25) - 15( y + 25) = 0
y= 15 or y = -25
If y = 15 Inches
Width = 15 + 10 = 25 Inches
Thus, the dimensions of the original shapes are 15 and 25 inches respectively
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dillion took out a 2 year loan for $2375 at a sports -equment store to be paid back with monthly at a 6.6% APR compounded monthly if the loan offers no payments for the first 5 months, how much will dillion owe when he begins making the payments?
If the loan offers no payments for the first 5 months, the amount owed by Dillion when he begins making the payments is $2,441.03
What is the effective monthly interest rate on the loan?
The effective monthly interest rate on the loan is determined as the annual percentage rate(APR) of 6.6% divided by 12 months since there are 12 months in a year
effective monthly interest=6.6%/12
effective monthly interest=0.0055
FV=PV*(1+r)^N
FV=the balance owed after 5 months=unknown
PV=the loan amount=$2375
r=effectively monthly interest rate=0.0055
N=number of months that have passed since the loan was taken=5
FV=$2375*(1+0.0055)^5
FV=$2,441.03
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Can someone answer this for me, I’ve been trying for the past 30 minutes, thank you
Answer:
1/2
Step-by-step explanation:
When x = 20, y = 0
When x = 40, y = 10
When x = 60, y = 20
When x = 80, y = 30
When x = 100, y = 40
The slope is the change in y divided by the change in x.
First, find the change in x and y between any two points. We will use the first two points, (20, 0) and (40,10)
The change in x is 40 - 20 = 20
The change in y is 10 - 0 = 10
Divide the change in y by the change in x.
10 / 20 = 1/2
The slope is 1/2
Chandra hires 21 people to pick crops from her field. She agrees to pay them $2.50 for each unit they pick. Estimate
the total amount of money she will have to pay if each person picks 6 units.
Answer:
I think its 315
Step-by-step explanation:
because I think I have to multiply if u do I think it's 21x2.50x6 and it's equal to 315
Which mathematical term describes 2.12 in the expression 9.2y-7.5y+2.12?
The mathematical term that describes 2.12 in the expression 9.2y - 7.5y + 2.12 is a constant
What are expressions?Expressions are mathematical statements that are represented by constants, variables, coefficients and operators
How to determine the mathematical term that describes 2.12 in the expression 9.2y - 7.5y + 2.12?The expression is given as
9.2y - 7.5y + 2.12
In the above expression, we can see that the variable is y
However, the number 2.12 has no variable attached to it
This means that the number is a constant
Hence, the mathematical term that describes 2.12 in the expression 9.2y - 7.5y + 2.12 is a constant
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18 = -2(x + 4) i cant find the answer
Answer:
x = -13
Step-by-step explanation:
-2 (x + 4) = 18
distributive property -2x + (-8) = 18
simplify -2x - 8 = 18
cancel out 8 by addition -2x = 26
cancel out -2 by division x = -13
A central angle of 100˚ has a corresponding arc length of 28 cm.
What is the radius of the circle?
[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta = 100\\ s=28 \end{cases}\implies 28=\cfrac{(100)\pi r}{180}\implies 28=\cfrac{5\pi r}{9} \\\\\\ 252=5\pi r\implies \cfrac{252}{5\pi }=r\implies 16.04\approx r[/tex]
lesson 6.2
Graph the image of the figure using the transformation given.
last 3 pics are the options to pick from
The figure with these coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4) given below. Therefore, option C is the correct answer.
Given that the shape is reflected across the y-axis.
What is a reflection on the y-axis?The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
The coordinates of the given figure are G(-3, -5), H(-2, 0), I(0, -1) and J(1, -4)
When the coordinates of the figure GHIJ are reflected across the y-axis we get G(-(-3), -5), H(-(-2), 0), I(0, -1) and J(-(1), -4)
So, the coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4)
The figure with these coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4) given below. Therefore, option C is the correct answer.
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simplify |9-3|-|5-12|
Answer:
13
Step-by-step explanation:
9 - 3 = 6
5 - 12 = -7
6 - ( -7 ) = 13
Answer:
-1
Step-by-step explanation:
Absolute value means distance from zero.
9-3 is 6 so nothing special there. 5-12, though is negative 7, but since we need the absolute value of that it is just 7. So our math problem becomes 6 - 7, which is -1.
Nate is 2 years younger than Alan and Kai is half Alan's age. The sum of their ages is 63. How old is Kai?
The ages of Alan, Nate and Kai is 26, 24 and 13 years respectively
AlgebraAlan's age = x yearsNate's age = (x - 2) yearsKai's age = 1/2xTotal ages = 63 years63 = x + (x - 2) + 1/2x
63 = x + x - 2 + 1/2x
63 = 2 1/2x - 2
63 + 2 = 2 1/2x
65 = 5/2x
divide both sides by 5/2x = 65 ÷ 5/2
x = 65 × 2/5
= 130/5
x = 26
Recall,
Alan's age = x years
= 26 years
Nate's age = (x - 2) years
= (26 - 2)
= 24 years
Kai's age = 1/2x
= 1/2(26)
= 13 years
Therefore, the ages of Alan, Nate and Kai is 26, 24 and 13 years respectively
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Christa and Megan have sales jobs at different companies. Christa earns $18 for each successful sales call she
makes plus 3% commission on her sales. Megan earns $21 for each successful sales call she makes plus 3.5%
commission on her sales. In July, Christa made 35 successful sales calls and Megan made 29 successful sales calls.
They each had the same sales, in dollars, for July, and they made the same total salary that month. Which equation
can be used to find x, the amount Christa and Megan each had in sales in July?
The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let x represent the amount Christa and Megan each had in sales in July. Hence:
For Christa = 18(35) + 0.03x
For Megan = 21(29) + 0.035x
630 + 0.03x = 609 + 0.035x
The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x
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What is the parent function of f(x)?
The parent function behind f(x) = 1 / (x - 4) - 3 is g(x) = 1 / x, which is modified by horizontal and vertical translations.
What is the parent function behind the given expression?In this problem we find an expression that is shown as the image of a previous one, whose procedure of transformation must be inferred and explained. A direct inspection let us suppose that parent function might be g(x) = 1 / x and that the resulting expression is the result of a sequence of rigid transformations.
Let suppose that g(x) = 1 / x, then we apply the following two rigid transformations:
Horizontal translation
g'(x) = 1 / (x - 4)
Vertical translation
f(x) = 1 / (x - 4) - 3
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