Classify each of the following statements as true or false where a and b are whole numbers.
a. If GCD(a,b)= 1, then a and b cannot both be even.
b. If GCD(a,b) = 2, then both a and b are even.
c. If a and b are even, then GCD(a,b) = 2.

Answers

Answer 1
a. is true because if they were even they would both have a factor of 2, the GCD can’t be 1.

b. Is true because a GCD of 2 means that 2 is a factor in both a and b which means that they are both even.

c. is false because even numbers can have a greater factor shared than 2 like how 4 and 8 have a GCD of 4

Related Questions

Does anyone know where i can get work and answers for this paper if you do it ill give brainliest Thank you so much if you can help : )

Answers

Answer:

I think maybe search Gina Wilson (All things Algebra), 2014 in google, look at the tiny letters at the bottom of the page.

Step-by-step explanation:

7. Write an equation and graph the line given the
point: (-4,-6) and slope: 5



Plzzz help

Answers

Answer:

y=5x+24

Step-by-step explanation:

Use formula y=mx+b and insert the given values

x = -4

y = -6

m = 5

-6 = 5(-6) + b

-6 = -30 + b

+30 +30

24 = b

Now you have value of b, rewrite the equation.

y=5x+24

what is the slope of this table see picture

Answers

slope= 5
1– -4/ -2 - -3 = 5/1

Tyrone swam eight less than three times as many laps as Marcia if Tyrone swam 13 laps how many laps did Marcia swim

Answers

Answer:

63 laps

Step-by-step explanation:

Tyrone-13

Marcia-(Tyrone+8)x3

fill in the equation

(13+8)x3

21x3

63

Answer:

63

Step-by-step explanation:13+8=21

21x3=63

I hope this helps

Suppose you are standing 19 feet from the base of a flagpole. You are able to determine that the angle of elevation to the top of the pole is 64.60 . Determine the height of the flagpole.

Answers

Answer:

40 ft

Step-by-step explanation:

Given that the angle of elevation is 64.6°, this means that the angle of depression from the top of the flagpole is 180 - 90 - 64.6, which is 25.4°

We can solve by using the sine rule, or the cosine rule.

Using the sine, we have

Sinθ = OPP/HYP, we're going to use the angle of depression, and thus

Sin 25.4° = 19/x, on rearranging, we have

x = 19/ sin 25.4°

x = 19/0.4289

x = 44.30 ft.

Now, we use Pythagoras theorem to get the height of the flagpole.

44.3² = 19² + y²

y² = 44.3² - 19²

y² = 1962.49 - 361

y² = 1601.49

y = √1601.49

y = 40 ft

If the average speed of a car is 45km/h, how far can it travel in 40 mins?

Answers

Answer:

30km

Step-by-step explanation:

Find the complex conjugate of a complex number:

[tex]i.[/tex]

Answers

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀Complex number [tex]i[/tex].

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find:

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀Complex conjugation of a complex number, which is presented above.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, Dariosl!

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Decision:

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ The complex conjugation of a complex number [tex]i[/tex] will be the conjugation [tex]-i[/tex].

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • How and why?

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀In order for us to check the correctness of our decision, we need to take the following easy step, which is performed very simply:

⠀;; ∥ Complex-conjugate to a purely imaginary number [tex]bi[/tex] is the opposite number [tex]-bi[/tex]: [tex]i[/tex] → [tex]-i[/tex].

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

Find the area of this parallelogram. Be sure to include the correct unit in your answer.

Answers

Answer:

182sq.in.

Step-by-step explanation:

base = 14in

height = 13in

Area of a parallelogram = base × height

Area = 14 × 13

= 182 sq.in.

Which fraction is equivalent to StartFraction 5 Over 20 EndFraction? StartFraction 4 Over 16 EndFraction, because StartFraction 5 Over 20 EndFraction = one-fourth and One-fourth = StartFraction 4 Over 16 EndFraction StartFraction 4 Over 12 EndFraction, because StartFraction 5 Over 20 EndFraction = one-fourth and One-fourth = StartFraction 4 Over 12 EndFraction StartFraction 4 Over 19 EndFraction, because StartFraction 5 Over 20 EndFraction = StartFraction 5 minus 1 Over 20 minus 1 EndFraction = StartFraction 4 Over 19 EndFraction StartFraction 4 Over 15 EndFraction, because StartFraction 5 Over 20 EndFraction = one-fifth = StartFraction 5 minus 1 Over 20 minus 5 EndFraction = StartFraction 4 Over 15 EndFraction

Answers

Answer:

A

Step-by-step explanation:

Solve Two-thirds x minus one-fifth greater-than 1

Answers

Answer:

9/5

Step-by-step explanation:

Answer:

x >

9/5

is the answer hope it helps ^^

Step-by-step explanation:

What is the y-intercept on this table?

Answers

Answer:

the y intercept is 1 at the point (0,1)

Step-by-step explanation:

the y-intercept is when x = 0 because the x-axis is how many you go over, so if you go over none and up or down some, the point lies on the y-axis, and when a point lies on the y-axis, it's the y-intercept.

hope this helps :))

the y-intercept occurs where x=0, therefore the y-intercept is 1 :)

10 ) Which Property of Multiplication is shown? (5 + 3) x 2 = 5 x 2 + 3 x 2
A. Identity Property
C. Associative Property
B. Distributive Property
D. Commutative Property

Answers

B. Distributive Property

Answer:

B. Distributive Property of Multiplication

Step-by-step explanation:

The given equation shows that two similar expressions are equal to each other.

How? Well, they both equal 16 to start. These are the same expressions - one is just distributed out!

[tex]2 \cdot (5 + 3) \\2 \cdot 5 + 2 \cdot3 \\10 + 6 = 16[/tex]

and...

[tex]5 \cdot 2 + 3 \cdot 2\\10 + 6\\16[/tex]

In the equations, the only difference is that we distributive 2 and multiplied in by 5 and 3!

I hope I was of assistance! #SpreadTheLove <3

Please help on number 19
(20 points )

Answers

Answer:

she has $4 in nickels an $2 in dimes hope this helps and have a good day...

explanation I know this because it said in total she had $6 in her piggy bank so you put $2 in dimes and $2 in nickels and then it said she had twice as many nickels than she dose dimes so then u would add 2 more dollars to nickels that's how u get the answer.

Write the function f(x) = 6x + 5 in terms of z by substituting z for x in the function

Answers

Answer:

f(x)=6x+5

You must do this step because the work is asking for it

z=6x+5

Than you change x and z to find z or the inverse of that function

x=6z+5

Subtract-5 both sides

x-5=6z

Divide both sides with 6

(x-5)/6=(6z)/6

Now you simplify

z=(x-5)/6

Done ✅

Step-by-step explanation:

Answer:

f(x) = 6x + 5. To write f(x) in terms of z, substitute the value of x with z:

f(z) = 6z + 5.

Step-by-step explanation:

Help it’s easy.


If n + 1 represents an odd integer, express the next larger odd
integer in terms of n.

Answers

Answer:

It should be n+2

what is 2+-7 thx for helping

Answers

Answer:

-5

Step-by-step explanation:

2+ (-7) = 2-7 = -5

Good luck

Answer:

-5

Step-by-step explanation:

[tex]2 + ( - 7) = - 5[/tex]

Solve: 1 x -23
A. 1
B. 23
C. -1
D. -23​

Answers

Answer:

D

Step-by-step explanation:

If this helps may i plz have brianliest :)

The correct answer is D

5 2/3 and _____ are reciprocal numbers.

Answers

5 2/3 = 17/3 so it’s reciprocal is 3/17

Answer: It is 3/17 :)

what is the product -9x(5-2x) A. -18x^2-45x B. -18x^2-45x C. -18x^2-45x D. 18x-45x

Answers

Answer:

18x^2-45x

Step-by-step explanation:

-9x(5-2x)

-9x*5=-45x

-9x*-2x=18x^2

18x^2-45x

It costs $6 to take 1 dog to the dog beach it costs $1 more for each additional dog which equation shows this situation when x>1
A- y=x+5
B- y=x+6
C- y=6x
D y=6x+2

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Which of the following statements are always true?
A.
Two parallel lines are coplanar.

B. Two skew lines are coplanar.
C.
Two planes that do not intersect are parallel.

D. Two lines that lie in parallel planes are parallel.
E.
Two lines that lie in intersecting planes are skew.

F. A line and a plane that do not intersect are skew.

Answers

the answer would be F. A line and a plane that do not intersect are skew.

Higher Order Thinking A railroad car container can hold 42,000 pounds. Mr. Evans wants to ship 90 ovens and some freezers in the same container. If each freezer weighs 600 pounds, how many freezers could be shipped in the container? Explain.

Answers

The number of freezers that can be shipped depends on the weight of an oven.

Total Weight: 42000 pounds

Weight of 90 ovens: 90w, where w is the weight of each oven.

Remaining weight to fill with freezers: 42000-90w

Weight of each freezer: 600 pounds

# of freezers that could be shipped: Remaining weight / freezer weight = (42000-90w)/600 = 70-3/20w

ANSWER: [tex]70-\frac{3}{20}w[/tex], where [tex]w[/tex] is the weight of each oven

How can I interpret the remainder? Give two examples of interpreting the remainder in different ways.

Answers

Answer:

Sometimes you only use the quotient.

Another way is to add 1 to the quotient. Situations when it is necessary to include all items.

Other times you will only use the remainder.

One way is to write the remainder as a fraction.

Step-by-step explanation: These are some ways you can interpret the remainder

1) One cubic millimeter of Mrs. Murphy's blood contains about 5 x10^6 red blood cells. There are about 4.9x10^6 cubic millimeters of blood in her body. Determine approximately how many red blood cells Mrs. Murphy has in her body total.​

Answers

Answer:24500000000000 or 2.45x10^13

Step-by-step explanation:

Mr davidson drove a truck to make deliveries. He drove 479.6 miles on Monday and 323.13 miles on Tuesday? About how miles did Mr. Davidson travel altogether?

Answers

He traveled 803.03 miles

3 pounds of peanuts for $7.50. How much is the cost per pound?

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{ \$ \: 2.5}}}}[/tex]

Step-by-step explanation:

[tex] \text{Given} : [/tex] Cost of 3 pounds of peanuts = $ 7.50

[tex] \text{To \: find} : [/tex] Cost of 1 pound of peanut

[tex] \text{Solution}[/tex] :

In unitary method , we have to obtain unit quantity. So, for the cost of 1 pound of peanut , the cost of 3 pounds of peanuts is divided by 3. ( i.e $ 7.50 ÷ 3 }

↦ [tex] \rm{ \$ \: \frac{7.50}{3} }[/tex]

↦ [tex] \boxed{ \rm{ \$ \: 2.5}}[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

The cost of 1 pound of peanuts will be $2.5.

What is mean by Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The cost of 3 pounds peanuts will be $7.50.

That's mean;

Cost of 3 pounds peanuts = $7.50.

Now,

To find cost of 1 pound of peanuts we can divide $7.50 by 3 as;

Since, The cost of 3 pounds peanuts = $7.50

Hence, The cost of 1 pounds peanuts = $7.50 ÷ 3

           The cost of 1 pounds peanuts = $2.5

Thus, Cost of 1 pounds of peanuts is for $2.5.

Therefore, The cost of 1 pound of peanuts will be $2.5

Learn more about the division method visit:

https://brainly.com/question/28771877

#SPJ2

What is 54/x=6??????????????????????

Answers

Answer:

The answer is 9

Hope this helps

54/ x=6

cross multiply

6x= 54

divide both sides by 6

6x/ 6 =54/6

x=9

What is the product?
X^2-16/2x+18•x^3-2x^2+x/x^2+3x-4

Answers

18x^4+3x^2-4x=8
—————————
x

A survey of 50 retail stores revealed that the average price of a microwave was $375 with a sample standard deviation of $20. Assuming the population is normally distributed, what is the 99% confidence interval to estimate the true cost of the microwave

Answers

Answer:

The 99% C.I is ( 367.703, 382.297 )

Step-by-step explanation:

Given that:

sample mean [tex]\overline x[/tex] = 375

Population standard deviation [tex]\sigma[/tex] = 20

Sample size n = 50

The level of significance [tex]\alpha[/tex] =  1 - C.I = 1 - 0.99 = 0.01

From z tables:

The critical value = [tex]Z_{\alpha /2}[/tex] = [tex]Z_{0.005}[/tex] = 2.58

The margin of error E = [tex]Z_{\alpha /2}[/tex] [tex]\times \dfrac{\sigma }{\sqrt{n}}[/tex]

The margin of error E =  [tex]2.58 \times \dfrac{20}{\sqrt{50}}[/tex]

The margin of error E = 7.297

The limits of 99% C.I are expressed as:

Lower limit = [tex]\overline x - E[/tex] = 375 - 7.297

Lower limit = 367.703

Upper limit = [tex]\overline x + E[/tex] =  375 + 7.297

Upper limit = 382.297

The 99% C.I is [tex]\overline x \pm E[/tex] = [tex]375 \pm 7.297[/tex]

= ( 367.703, 382.297 )

is y=3x-3 proportional

Answers

Answer:

i don't think so

Step-by-step explanation:

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