Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?

1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.

A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.​

Answers

Answer 1

9514 1404 393

Answer:

  C: 2 and 3 only.

Step-by-step explanation:

We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).

The product of two odd numbers is odd, so (2) is one of the true statements.

__

Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.

Only statements (2) and (3) are true.


Related Questions

HURRY!!!
Given: PB tangent

PV, PU Secants

If m VU = 80° and m ST = 30°, then m<1 = 25 40 55

Answers

Answer:

25°

Step-by-step explanation:

(80-30)/2

= 50/2

= 25

Answered by GAUTHMATH

Measure of angle 1 from the given circle is 40 degree. Therefore, option B is the correct answer.

What is secant tangent rule?

If a line is drawn from an external point to a circle, creating a tangent segment and a secant segment, then the length of the tangent segment squared is equal to the product of the lengths of the secant segment and its external segment.

Given that, PB is tangent and PV and PU are secant.

Here, measure of arc VU = 80° and measure of arc ST = 30°

Now, m∠1=1/2 ×measure of arc VU

m∠1=1/2 ×80°

m∠1=40°

Therefore, option B is the correct answer.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

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double a number plus 54 equals 8 times the number

Answers

2x+54=8x

So. The Answer is 7

what is x increased by 10 divided by 4 as an expression?
please help need answer, I ask you don't answer if you don't know the answer, thank you!

Answers

Answer:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Step-by-step explanation:

We want to write an expression for the phrase: "x increased by 10 divided by 4."

If x is being increased by 10, the expression is:

[tex]x+10[/tex]

And if it is then divided by 4, we can place the entire expression over four. Hence:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Our expression is:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Independent Practice


Write an explicit rule for a geometric sequence that has 1 as its first term and a common ratio of –4. What is the seventh term of this sequence?


A.
an=−4 · (1)n−1; −4a subscript n baseline equals negative 4 times left parenthesis 1 right parenthesis superscript n minus 1 baseline semi-colon negative 4


B.
an=−4 · (7)n−1; −470,596a subscript n baseline equals negative 4 times left parenthesis 7 right parenthesis superscript n minus 1 baseline semi-colon negative 470,596


C.
an=1 · (−4)n−1; 4,096a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n minus 1 baseline semi-colon 4,096


D.
an=1 · (−4)n; −16,384a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n baseline semi-colon negative 16,384

Answers

Answer: The Answer Is Letter B Or Letter C..... 12*4*2= 96

B.

an=−4 · (7)n−1; −470,596a subscript n baseline equals negative 4 times left parenthesis 7 right parenthesis superscript n minus 1 baseline semi-colon negative 470,596

C.

an=1 · (−4)n−1; 4,096a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n minus 1 baseline semi-colon 4,096

Step-by-step explanation: First Term: 2, Second Term: 6, Third Term: 18, Forth Term: 54, Fifth Term: 162

Geometric sequences and series

A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.

Example

Write the first five terms of a geometric sequence in which a1=2 and r=3.

We use the first given formula:

Just as with arithmetic series it is possible to find the sum of a geometric series. It is found by using one of the following formulas:

Video lesson

Use the formula for the sum of a geometric series to determine the sum when a1=4 and r=2 and we have 12 terms.

Divide 2 divided by 1/2

Answers

Your answer is 4 I hope this help

Answer:

yea it should be 4

Step-by-step explanation:

all you doing is dividing

Suppose 60% of the graduating class in a certain high school goes on to college. If 126 students from this graduation class are going on to college, how many students are from this graduating class?

Answers

Answer: 210

percent * base = amount

.6 * base = 126

base = 126/.6

x = 210

Step-by-step explanation:

125 + (a-b)³ help me​

Answers

Answer:

(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Step-by-step explanation:

125 + (a - b)³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Then

125 + (a- b)³

= 5³ + (a - b)³

with a = 5 and b = (a - b)

= (5 a a - b)(5² - 5(a - b) + (a - b)² )

= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)

= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Helppppp pleaseeee !!!!!!!!!!

Answers

Step-by-step explanation:

the 60 preliminary published articles are a constant.

all the new articles are simply added to that to get the total number of published articles.

every months produces 12 more articles.

so,

m = 1 means a = 60 + 1×12 = 72

m = 3 means a = 60 + 3×12 = 60 + 36 = 96

m = 4 means a = 60 + 4×12 = 60 + 48 = 108

m = 9 means a = 60 + 9×12 = 60 + 108 = 168

Help needed ! Asap rocky! U hurddd mamahuevo

Answers

Answer:

Step-by-step explanation:

Hello!

x < -45/15

=>

{xIx<-3}

NEED ASAP!!!

In this figure, AB || CD and m/_3=120
What is m/_6?
Enter your answer in the box​

Answers

Answer:

m/_6=60

Step-by-step explanation:

angles 3 and 6 are same side interior angles makeing them suplimentary.

180-/_3=/_6

180-120=60

it works both ways as well!

Can someone help me on this

Answers

Answer:

The choose (C)

F(x)=x/ (x+1)(x-2)

please help i need the coordinates of A

Answers

Answer:

(-6,2)

Step-by-step explanation:

Find an equation in slope-intercept form of the line that has slope –7 and passes through point A(8,-4)
a.) y = 52x + 7
b.) y = 7x + 52
c.) y = -7x - 52
d.) y = -7x + 52

Answers

Answer:

y = -7x + 52

Step-by-step explanation:

y = -7x - b

-4 = -7(8)  + b

-4 = -56 + b

52

Rob is investigating the effects of font size on the number of words that fit on a page. He changes the font size on an essay and records the number of words on one page of the essay. The table shows his data.

A 2-row table with 10 columns. The first row is labeled font size with entries 14, 12, 16, 10, 12, 14, 16, 18, 24, 22. The second row is labeled word count with entries 352, 461, 340, 407, 435, 381, 280, 201, 138, 114.


Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page?

y = –55x + 407
y = –41x + 814
y = –38x + 922
y = –26x + 723

Answers

Answer:

y = -26.059x + 722.63

Step-by-step explanation:

The equation that represents the approximate line of best fit for data will be D. y = –26x + 723.

How to illustrate the equation?

It should be noted that an equation is simply used to illustrate the mathematical expressions between variables.

To find an equation of a line, it's important to identify the slope, the point, and then substitute the values into the point-slope form.

Using the given data you can build the linear regression that is described by the linear function y=ax+b, you can see that a = -26 and b = 723 in the attached diagram.

In this case, the equation that represents the approximate line of best fit for data will be y = –26x + 723. The line expresses the relationship between the points.

Learn more about equations on:

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Helpppppppp pleaseeee

Answers

Median is the middle number when you put them in descending or ascending order

Answer:

5

Step-by-step explanation:

median means the number in the middle

If the ratio of the value of the Canadian dollar to the US dollar is $1.12: $1.00, how much Canadian money
is equivalent to US$250?

Answers

We know that one Canadian dollar is $1.12 in U.S. dollars. We can multiply 250*1.12 to get $250 USD in Canadian dollars. This gives us 280. The answer is $280 Canadian dollars is equivalent to $250 U.S. dollars.

If this was shown as a fraction, you would have 1.12/1. Next, we know that there are $250 U.S. dollars. 1*250 is 250. 1.12*250 is $280.

here is another question i need help

Answers

the one you have selected is correct

come help me!! rack up those points!! needing lots of help with geometry today :)

Answers

Answer:

312 in^2

Step-by-step explanation:

Yet again, not the best way but let's add up all the sides...

2(24+96+36) = 2(156) = 312 in^2

Hope this helped!

312in squared ________

Find the length of x. Assume the triangles are similar.


A. 2.5

B. 4.4

C. 4.0

D. 3.5

Answers

Answer:

the answer is get to be D-3.5

The equation of a straight line can be written in the
form 3x + 2y - 8 = 0.
(a) Rearrange this equation to make y the subject.
(b) Write down the gradient of the line.
(c) Write down the coordinates of the point where
the line crosses the y-axis.
(pls give a full working )

Answers

Answer:

see explanation

Step-by-step explanation:

Given

(a)

3x + 2y - 8 = 0 ( subtract 3x - 8 from both sides )

2y = - 3x + 8 ( divide the terms by 2 )

y = - [tex]\frac{3}{2}[/tex] x + 4

(b)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{3}{2}[/tex] x + 4 ← is in slope- intercept form

with slope ( gradient) m = - [tex]\frac{3}{2}[/tex] and

(c)

c = 4

That is crosses the y- axis at (0, 4 )

this is for my lil bro. I kinda forgot how to do this so help would be appreciated.​

Answers

Answer:

Yes

Step-by-step explanation:

-10x+4y ≥-4

Plug in (0,-1)

-10(0) +4(-1) ≥-4

-4 ≥ -4

This is a true statement so the point is a solution

Answer:

Yes

Step-by-step explanation:

Substitute x = 0 and y = -1

Then

[tex] - 10(0) + 4( - 1) \geqslant - 4 \\ - 4 \geqslant - 4[/tex]

please help me please i will give brainliest

Answers

Answer:

2.6

Step-by-step explanation:

espero ter ajudado

the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.

Answers

Answer: 80, 40

Step-by-step explanation: I just made an equation which went something along the lines Of 3.1x=248 , then you get 80, then 40.

4cosx - 2cos2x - cos4x=1

Answers

Answer:

x = 360°

Answered by GAUTHMATH

The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
х
V10
Answer: 2=
=
Submit Answer

Answers

Answer:

x=2*sqrt(5)

Step-by-step explanation:

Since the triangle is isosceles, the other side of the triangle is sqrt(10) too. By using Pythagoras theorem, we have 10+10=x^2, x=2*sqrt(5).

1. Why should you plan for retirement now?
2. What are 2 different ways that you can save for retirement and what are the benefits of these methods?
3. Why is it important to make sure your retirement account has compounded interest?
4. What is one example of something you could do in the next 5 years to start saving for retirement?
5. What advice you would give to a friend or family member who is thinking of retiring soon? (Right answer only please) :)

Answers

1. Because if you have a plan early then you can start saving early, which increases the amount you will have. The future is also unpredictable

2. Set aside money over a set period (put aside money each month, year). You can set up a plan through your employer ie 401K, or set up an individual retirement plan (IRA). Your employer takes a percentage you choose out of your check each month (commonly 3%, 5%, %10, 15%). The money is taken from your paycheck before taxes therefore it lowers your income and you pay less in taxes. An IRA is similar to a bank account as you choose when and how much you put in over time. Both can be withdrawn at 59 1/2.

3. Compound interest essentially earns you more money for retirement. It can be important because you earn more than with regular interest.

4. Start balancing expenses, make a plan for retirement and practicing saving. It would also be beneficial to start setting aside money for retirement even if you haven't opened an account yet.

5. Make sure you can comfortably live off of your retirement. If you can't it would be best to maximize your retirement and savings, or consider working seasonally or part-time

If the lengths of the legs of a right triangle are 4 and 8, what is the length of the
hypotenuse?
O A. 12
B. 4sqrt5
Oc. 32
D. 4sqrt3

Answers

Answer:

option A. twelve because hypotenuse angle is equal to perpendicular to the sum base

It’s A cuz the other comment said it

Two consecutive even whole numbers have a product of 360. What is the smaller of the
two numbers

Answers

let one even number be N
and another even number be N(N+2)

N(N+2)=360
n^2+2n-360=0
n^2+20n-18n-360=0

value of N= -20 ,18
but -20 not accepted
smaller number 18

Write down the nth term of the following sequence

the following pattern are made using small squares

Answers

Answer:

a) [tex]n = 4 + 7\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex], b) [tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

Step-by-step explanation:

a) The sequence is representative for an arithmetic sequence, whose key characteristic is that difference is between two consecutive elements is the same. In particular, the sequence has a difference of 7 between any two consecutive elements and the initial element is 4. Hence, we can derive the following formula:

[tex]n = n_{o} + r\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex] (1)

Where:

[tex]n_{o}[/tex] - Initial element.

[tex]r[/tex] - Difference between two consecutive elements.

[tex]i[/tex] - Index.

If we know that [tex]n_{o} = 4[/tex] and [tex]r = 7[/tex], then the expression for the n-th term of the sequence is:

[tex]n = 4 + 7\cdot i[/tex], [tex]\forall \,i\in\mathbb{N}_{O}[/tex]

b) In this case, we have a geometric sequence described by the following equation:

[tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]  (2)

The constant element ([tex]2[/tex]) represents the two extreme squares, whereas the second order binomial represents the total of squares in the middle ([tex](i+1)^{2}[/tex]) and emulates the area formula of the square.

Answer:

Step-by-step explanation:

?

find x
2 ^30 divided by 8^9= 2x

Answers

Answer:

see below

Step-by-step explanation:

2^30

-------

8^9

Rewriting

8^9

2^3 ^ 9

We know a^b^c = a^(b*c)

2^(3*9) = 2^27

2^30

-------

2^27

We know a^b / a^c = a^(b-c)

2^(30-27) = 2^3

Assuming you mean 2^x

2^3 = 2^x

x=3

If you mean 2x

2^3 = 8

8 = 2x

Divide by 2

4 =x

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{2^{30}}{8^9}=2x}[/tex]

[tex]\mathsf{2^{30}}\\\mathsf{= \bf 1,073,741,824}\\\\\mathsf{8^9}\\\mathsf{= \bf 134,217,728}[/tex]

[tex]\mathsf{\rightarrow \dfrac{1,073,741,824}{134,217,728}= 2x}\\\\\\\mathsf{\dfrac{1,073,741,824}{134,217,728}= \bf 8}\\\\\\\mathsf{\rightarrow \ 8 = 2x}\\\\\\\\\large\textsf{TURN\ the\ EQUATION\ around}\\\\\\\mathsf{\rightarrow\ 2x = 8}\\\\\\\large\textsf{DIVIDE 2 to BOTH SIDES}\\\\\\\mathsf{\dfrac{2x}{2}=\dfrac{8}{2}}\\\\\\\large\textsf{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\textsf{ because it gives you 1}\\\\\\\large\textsf{KEEP: }\mathsf{\dfrac{8}{2}}\large\textsf{ because it gives you the answer of x}[/tex]

[tex]\mathsf{x = \dfrac{8}{2}}\\\\\\\mathsf{x = 8\div 2}\\\\\\\mathsf{x = \bf 4}\\\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 4}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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