What is the smallest integer $k>2000$ such that both $\dfrac{17k}{66}$ and $\dfrac{13k}{105}$ are terminating decimals?.

Answers

Answer 1

The smallest integer greater than 2000 for both the fractions [tex]\frac{17k}{66} \ and \ \frac{13k}{105}[/tex] to be terminating decimals is 2079.

Given

K is greater than 2000.

[tex]k> 2000\\[/tex].

Given fractions are

[tex]\dfrac{17k}{66} \ and \ \dfrac{13k}{105}[/tex].

How to find the smallest integer greater than 2000 for the fractions to be terminating decimals?

In order for the decimal equivalents to be terminating, the only factors that can remain in the denominators are 2 and 5.

Here, the given denominators are 66 and 105 respectively.

Now factors of 66 will be 2,3,11.

And the factors of 105 will be 3,5,7.

So, the value of k must be multiples of 3, 7, and 11. The LCM of these numbers will be,

[tex]3\times 7\times 11=231[/tex]

Now the value of K must be greater than 2000, so the multiple of 231 which is greater than 2000 is its [tex]9^{th}[/tex] multiple,

[tex]231\times9=2079[/tex]

Hence 2079 is the smallest integer greater than 2000 for both the fractions [tex]\frac{17k}{66} \ and \ \frac{13k}{105}[/tex] to be terminating decimals.

For more details on terminating decimals follow the link:

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Related Questions

Give the coordinates of the point P without using any new variable.​

Answers

Answer:

Step-by-step explanation:

C because it is given that from 0 to (a,0) only need steps and similarly with b only need b amount of steps to reach (0, b). Therefore to reach point P, you just need (a, b).

Please help! (Only answer if correct)

Answers

Erica used 50 pounds of type B coffee

Let the number of pounds of type A coffee be A

Let the number of pounds of type B coffee be B

Total number of pounds = 123

A   +  B   =   123.........................................(1)

Cost of 1 pound of type A coffee = $5.95

Cost of 1 pound of type B coffee = $4.40

Total cost = $654.35

5.95A  +  4.40B = 654.35..........................(2)

Make A the subject of the formula in equation (1)

A  =  123  -   B........................(3)

Substitute equation (3) into equation (2)

5.95(123 - B)  +  4.40B  =  654.35

731.85  -  5.95B  +  4.40B  =  654.35

5.95B  -  4.40B  =  731.85 - 654.35

1.55B   =   77.5

B   =  77.5/1.55

B   =   50

Erica used 50 pounds of type B coffee

Learn more on system of equations here here: https://brainly.com/question/13729904

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

135

Step-by-step explanation:

bc its the right answer

Answer:

the answer is 138.57 so ur answer would be 135

Step-by-step explanation:

Qui est grand 0 ou -2,5

Answers

Answer:

0

Step-by-step explanation:

positive numbers are always bigger than negative numbers

^PLZ HELP, I NEED IT BY TODAY!!! (PART B and PART C only) PLZ THANKS

Answers

Part B (Taxi):

12 miles = 0.5 miles + (115×0.1) miles

Rate: $2.40 + (115×0.20)

         = $25.40

Total cost (with tip): $25.40 + $2

                               = $27.40

20 miles = 0.5 miles + (195×0.1) miles

Rate: $2.40 + (195×0.20)

         = $41.40

Total cost (with tip): $41.40 + $2

                               = $43.40

50 miles = 0.5 miles + (495×0.1) miles

Rate: $2.40 + (495×0.20)

         = $101.40

Total cost (with tip): $101.40 + $2

                               = $103.40

Part B (Uber):

12 miles (rate) = $1 + ($1.05×12)

                        = $13.60

Total cost (with tip): $13.60 + $2

                               = $15.60

20 miles (rate) = $1 + ($1.05×20)

                         = $22

Total cost (with tip): $22 + $2

                               = $24

50 miles (rate) = $1 + ($1.05×50)

                        = $53.50

Total cost (with tip): $53.50 + $2

                               = $55.50

Part C

Uber is a better mode of transportation. This is because given the same distance travelled for both the taxi and the Uber, Uber has a lower cost compared to the taxi.

how many days would it take for a tiger to eat a boar

Answers

how many days would it take for a tiger to eat a boar?

Answer: Tigers belong to the taxonomic order Carnivora, which mean that their diet is composed mainly of meat. Like all animals, they are heterotrophic organisms, so they must meet their nutritional requirements from other living beings.

They look for both medium and large prey in the wild to feed on them. The animals they consume change according to the area where they live, as different species will be available in each region. They have no problem taking down animals larger than themselves including water buffaloes and bears.

These cats are powerful and efficient predators with an anatomy designed for hunting. They have two large canine teeth and other sharp-edged teeth to cut the skin, flesh, and bones of prey. These functional dental pieces are the last upper premolar and the lower first molar.

Like any carnivore, its clavicles are reduced or absent, while the scaphoid, central and lunar bones of the wrist fuse with the lunar-scapular bone. As Tigers digest meat quickly, they have a simple stomach and a short intestine.

Tiger feeding.
Young Moose, a common prey of the Siberian tiger.
The Panthera tigris diet includes a large diversity of animals that are typically medium to large usually weighing more than 200 pounds, and even dare to attack other predators and animals of considerably larger size than theirs. Small animals make up a tiny part of their usual diet.

Tigers can stay up to two weeks without food, but when they catch prey, they can eat 75 pounds of meat at once.

CARD #2:
Bobby says the
dilation can be
represented by
(x, y).
A figure on a
coordinate plane is
dilated. Point A(3,9)
is dilated to A'l, 3).
Betty says the
dilation can be
represented by
(3x, 3y).

Answers

Answer:

When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. For scale factor k, the algebraic representation of the dilation is (x, y) → (kx, ky). For enlargements, k > 1.

10 < 2 - d solve for d

Answers

10 < 2 - d

10 - 2 > -d

8 > - d. When dividing with negative the sign switches so..


d > -8

Hope this helps!
Brainliest is much appreciated!

Answer:

d< -8

Step-by-step explanation:

10 < 2 -d

Add d to both sides: 10 + d < 2 -d + d

Simplify: 10+d<2

Subtract 10 from both sides: 10 + d - 10 < 2 - 10

Simplify: d < -8

Sorry if I'm wrong or didn't explain right. I tried my best. Enjoy your answer and have a great day. Thanks :)

Which binomial is a factor of 100x2 – 49?
a
O 10x + 7
O 25% - 7
O 25x + 49
O 203 – 49
-

Answers

Answer:

Step-by-step explanation:

What you have here is called "the difference of two squares"

Difference means subtraction and both 100x2 and 49 are perfect squares.

The factored form of 100x2-49 is

(10x+7)(10x-7)

Because 10x times 10x is 100x2 and 7 times 7 is 49

One factor has a + and

One factor has a -

It is a pattern worth memorizing!

So 10x + 7 is the factor you're looking for.

Comparing Theater Sales
I need help A.S.A.P!!!

Answers

Step-by-step explanation:

oh come on ! you can see that with common sense : it is 2)

while the data itself is the same, but in figure B it is kind of suggested that "Super Cinema" had twice the sales of "Bud's Movies". which is not the case at all.

and that is one of the problems, when you don't show the whole data range (which happens when you don't start the data range at the actual beginning - like 0 in this case).

as I keep saying : never trust a statistic you have not falsified yourself ...

∠HOA appears to be a right angle.
true or false

Answers

Answer:

False!

Step-by-step explanation:

Right angles are 90 degrees, for example EOA appears to be closer to a right angle but not HOA

9c+4=-23 solve for x

Answers

9x + 4 = -23
9x = -23 - 4
9x = -27
x = -27/9
x = -3

ANSWER: x = -3
Ok done. Thank to me :>

Which of the following is a reason to establish a good credit history?

Answers

Where are the options

what is the modulus of the complex number -4+3i

Answers

The modulus of the complex number -4+3i is 5.

Complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit,

A complex number is a number of the form a + bi, where a and b are real numbers.

The modulus (z) of a complex number x + iy is given by:

z = √(x² + y²)

The modulus of the complex number -4+3i is:

[tex]z=\sqrt{(-4)^2+3^2} =\sqrt{25}=5[/tex]

Find out more on complex number at: https://brainly.com/question/2218826

I need help with this

Answers

Answer:

512

Step-by-step explanation:

64 × 8 = 512

512

64 8

16 4 2

8 2 2 1

is the expression x³·x³·x³ equivalent to x³·³·³? why or why not? explain your reasoning

Answers

Answer:

Definitely not equivalent.

Exponent rules state that whenever you multiply terms with the same power, you add the powers together and multiply the coefficients.

x^3*3*3 is equivalent to something like ((x^3)^3)^3 or x^27

x^3 * x^3 * x^3 would be x^3+3+3 or x^9

-)) The green marble is closer to the target than the white marble. The purple marble is
closer to the target than the green marble, and the white marble is closer to the target than
the blue marble. The purple marble is not farther from the target than the white marble.
Which marble is farthest from the target?
the purple marble
the blue marble
the green marble
the white marble

Answers

Should be the blue marble

Is 92.248 an integer? Yes or no

Answers

Answer:

NO no no non

Step-by-step explanation:

IHOPE THIS CORELRECT ANSWER

equivalent ratio tables​

Answers

Answer:

11, 44, 24

Step-by-step explanation:

On the right side column you are adding 11 every time you add 4 on the left side column

For example :

4:11

8:22

12:33

16:44

20:55

24:66

Hope this helps!!! :)))

Solve x/2 - 8 = y for x

Answers

Answer:

B) x=2y + 16

Step-by-step explanation:

First, you'd multiply the x/2 by 2 to get x by itself.

You do the same throughout the whole equation.

Then isolate the x by getting rid of the -16 to the other side by adding 16

Your final answer should be:

B) x=2y + 16

The value of x for the given equation x/2 - 8 = y will be x = 2y + 16 thus option (B) is correct.

What is the equation?

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

x/2 - 8 = y

Add 8 both sides,

x/2 - 8 + 8 = y + 8

x/2 = y + 8

Multiply by 2 both sides,

x/2 × 2 = (8 + y) × 2

x = 2y + 16

Hence "x = 2y + 16 will be the value of x in the equation x/2 - 8 = y".

For more about the equation,

brainly.com/question/10413253

#SPJ2

1.

Solve using traditional division: 7,925 divided by 25.

Answers

It’s 317 I know that bc I got it right when I had that question

HELP PLS!!
Adding and subtracting vectors in component form

Answers

Answers:u+v = <3,12> w+g = <7,0> g-z = <2,4> v-u = <9,4> y+v = <7,9> u+v+y = <4,13>

===================================================

Explanation:

Problem 1

If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us

u+v = <a+c,b+d>

The corresponding coordinates pair up and add together.

In this case we have

u = <-3,4>

v = <6,8>

So,

u+v = <-3+6,4+8>

u+v = <3,12>

---------------------

Problem 2

We follow the same idea as the previous problem.

w = <8,-1>

g = <-1,1>

w+g = <8+(-1),-1+1>

w+g = <7,0>

---------------------

Problem 3

Similar to addition, subtracting vectors has us subtract the corresponding coordinates.

The general template is:

u = <a,b>

v = <c,d>

u-v = <a-c,b-d>

With this in mind, we can say the following:

g = <-1,1>

z = <-3,-3>

g-z = <-1-(-3),1-(-3)>

g-z = <-1+3,1+3>

g-z = <2,4>

---------------------

Problem 4

Follow the same idea as problem 3 above.

v = <6,8>

u = <-3,4>

v-u = <6-(-3),8-4>

v-u = <6+3,8-4>

v-u = <9,4>

---------------------

Problem 5

Refer to problem 1.

y = <1,1>

v = <6,8>

y+v = <1+6,1+8>

y+v = <7,9>

---------------------

Problem 6

u = <-3,4>

h = v+y = y+v = <7,9>

u+v+y = u + h

u+v+y = <-3,4> + <7,9>

u+v+y = <-3+7,4+9>

u+v+y = <4,13>

Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.

2th grade Student 1+1=11?!? my teacher told me that

Answers

Answer:

Not much sure if this is a joke but 1+1 is 2 not 11.

Step-by-step explanation:

I hope I helped.

Have a great day ;)

John drove 30 miles to work each day.He moved closer too work and now he drives 18 miles to work each day what percentage did the number of mile john drove decrease

Answers

Answer:

40 i think

Step-by-step explanation:

divide 2(1+2)
No calculator, if u use something bad, will happen to u

Answers

The answer would be 6.

Triangle P is rotated 180° about (0, 0) to give triangle Q. Triangle Q is translated by 5 2 to give triangle R. (a) Describe fully the single transformation that maps triangle P onto triangle R.

Answers

Answer:

  (x, y) ⇒ (-x +5, -y +2)

Step-by-step explanation:

Rotation 180° is described by ...

  (x, y) ⇒ (-x, -y)

Translation right 5 and up 2 is described by ...

  (x, y) ⇒ (x +5, y +2)

The two transformations together that map P to R are described by ...

  (x, y) ⇒ (-x +5, -y +2)

Solve for x
−4x+60<72 OR 14x+11<−31

Answers

Answer:

14x+11<-31

14x<-42

x=-3

Hope This Helps!!!

help please anybody Pls​

Answers

Answer:

the 2nd one and the 3rd one

Step-by-step explanation:

hope this helps

A video game that normally sells for $80 is on sale for 60 what is the percent of discount for the sale price

Answers

Answer:

20% discount

Step-by-step explanation:

Can someone plz help me?

Answers

Answer: C

Pt. C is at coordinate point (2,1)

The distance between A and C is 4 units (or boxes).

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