Mathematics High School

how many natural numbers N have the property among 1,2,..........,N exactly 30% are divisible by 3?
A. 0
B. 2
C. 6
D. infinite

Answers

Answer 1

Answer:

The answer is B. 2.

Step-by-step explanation:

We know that for N = 1 and N = 2, none of them are divisible by 3.

For N = 3, 33.33% are divisible by 3.  For N = 4, 25% (which is already less than 30%), so N = 5 would also be less.

At N = 6, we're back up to 33.33%.  N = 7 is already less than 30%.

At N = 9, you guessed it, 33.33%.  N = 10 is 30% (3, 6, and 9).  So we have one case.

Moving along, at N = 18, 33.33%.  N = 20 is again 30% (3, 6, 9, 12, 15, and 18).  Two cases now.

Finally, at N = 21, again 33.33%.  N = 22 and N = 23 are both greater than 30%.  As we continue this, for any N after 20, we will always be greater than 30%.

Related Questions

Factor 24m-12p+7224m−12p+7224 - 12p + 72 to identify the equivalent expressions.
Choose 2 answers:

(Choice A)
A
6(4m+2p+12)6(4m+2p+12)6, left parenthesis, 4, m, plus, 2, p, plus, 12, right parenthesis

(Choice B)
B
2(12m-6p+36)2(12m−6p+36)2, left parenthesis, 12, m, minus, 6, p, plus, 36, right parenthesis

(Choice C)
C
12(2m-p+6)12(2m−p+6)12, left parenthesis, 2, m, minus, p, plus, 6, right parenthesis

(Choice D)
D
24(m-12p+3)24(m−12p+3)24, left parenthesis, m, minus, 12, p, plus, 3, right parenthesis

Answers

Answer:

C, A

Step-by-step explanation:

If you would like me to explain, I could but this would be difficult. Trust me.

Answer:

C and B

Step-by-step explanation:

What is angle A in the following equation?

Answers

Answer:

x= 19 degree

Step-by-step explanation:

A 40 kg-skier is standing at the top of a 12-meter high slope. What is her potential energy? PE = m x g x h (g = 10m/s2) A. 6000J B. 48J C. 4800J D. 400J

Answers

Answer:

The correct option is;

C. 4800 J

Step-by-step explanation:

The given parameters are;

The mass of the skier = 40 kg

The height of the slope = 12 meter

The acceleration due to gravity, g = 10 m/s²

The potential energy, PE, is given by the formula PE = Mass, m × Acceleration due to gravity, g × Height, h

Substituting the values, gives

The potential energy, PE = 40 kg × 10 m/s² × 12 m = 4800 kg·m²/s² = 4800 J

The potential energy, PE = 4800 J

What is an equation in point-slope form of the line that passes through (-7,1) and (-3, 9)

Answers

Step-by-step explanation:

let eqn be y - y1 = m(x - x1)

m = (9 - 1)/(-3 - (-7))

m = 2

sub (-7, 1):

y - 1 = 2(x + 7)

therefore, the equation is y - 1 = 2(x + 7)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:
y=2x+15

Solution:
Refer to the diagram

Jim borrows $790 for 4 months. He pays a simple interest rate of 6%. How much interest must he pay? Round your answer to the nearest cent if necessary.

Answers

Answer:

Jim will be paid $150 or 30% to his account.

Step-by-step explanation:

Have a great day :)

On the coordinate plane below, quadrilaterals TRAP and HELP are similar to each other.

The existing dimensions of TRAP are increased and as a result, the original area of the quadrilateral is doubled. Consider the changes in the area of TRAP and determine the new ratio of the areas of TRAP to HELP.
A. 4:1
B. 32:1
C. 16:1
C. 8:1

Answers

Answer:Quadrilateral TRAP has an area that is one-fourth the area of quadrilateral

Step-by-step explanation:

Answer:

8:1

Step-by-step explanation:

Integers from least to greatest 11 -3.5 -10 6 -12
HELPPPP FAST PLEASE

Answers

Answer:-12, -10, -3.5, 6, 11

Step-by-step explanation:

Answer:

-12, -10, -3.5, 6, and 11

Step-by-step explanation:

The negative cycle is different from the positive. The greater the depth of the negative number, the less the value. So -12<-10 and -10<-3.5

-12, -10, -3.5, 6, and 11

Somone help me please and thank you.

Answers

Y = mx+b plug in the slope on m and the y intercept on b answer is: Y = -x + 2

The answer to this question would be: Y= -x + 2        

what is the equivalent expression to y+ 2/5y

Answers

Answer:

7 y /5

Step-by-step explanation:

ILL MARK BRAINLEST IF YOU GIVE ME THE RIGHT ANSWER!!! Find the length of side A?​

Answers

Answer: 15 + 9 = 24

Step-by-step explanation: I speak Japanese btw and English.

2( z + 1 ) - 4(z - 4) ≤ 2(z + 5)
please help

Answers

Answer:

z>=2

Step-by-step explanation:

2z+2-4z+16<=2z+10

8<=4z

z>=2

Answer:

z[tex]\geq[/tex]2

Step-by-step explanation:

2( z + 1 ) - 4(z - 4) ≤ 2(z + 5)

2z + 2 - 4z + 16 [tex]\leq[/tex] 2z + 10

2 - 4z+ 16 [tex]\leq[/tex] 10

18 - 4z [tex]\leq[/tex] 10

-4z [tex]\leq[/tex] 10 - 18

[tex]\frac{-4z}{-4\\}[/tex] [tex]\leq[/tex] [tex]\frac{-8}{-4}[/tex]

z [tex]\geq[/tex] 2

HELP PLZ!!!! QUICK!!! I BEGG YOUUU!!!!!! I'LL GIVE BRAINLY!!! 10 POINTS!!!!!

which expression is equivalent to 4/9(2n-3)?

A. 2n - 3
B. 2n - 1 1/3
C. 8/9n - 1 1/3
D. 8/9n - 1/3

Answers

Answer: 8/9n - 11/3
Reason:

Find the slope.

(attached photo)

Answers

Answer:

slope(m)=2

Step-by-step explanation:

2/1 or 2

Step-by-step explanation:

3 - -1

3 - 1

4/2 = 2/1 or 2

Find the center and radius of the circle given by this equation: x^2 - 10x + y^2 + 6y - 30 = 0

Answers

Answer:

center=(5,-3)

radius = 2 unit

Step-by-step explanation:

         Center with the equation x² - 10x + y² + 6y - 30 = 0 is (5, -3) and the radius is 8 units.

Circle with the given center and radius: Equation of a circle with the center (h, k) and radius 'r' is given by,

         (x - h)² + (y - k)² = r²

         Here, Center of the circle → (h, k)

                    Radius of the circle → r units

Given equation of the circle in the question is,

x² - 10x + y² + 6y - 30 = 0

Convert this equation to the standard equation of the circle.

x² - 2(5x) + y² + 2(3y) - 30 = 0

[x² - 2(5y) + 5²] - 5² + [y² + 2(3y) + 3²] - 3² = 30

(x - 5)² - 25 + (y + 3)² - 9 = 30

(x- 5)² + (y + 3)² = 64

(x- 5)² + (y + 3)² = 8²

     Therefore, center of the circle is (5, -3) and radius of the circle is 8 units.

Learn more to find the center and the radius of a circle here,

https://brainly.com/question/10543303?referrer=searchResults

Find the final price CD player:89.95 discount: 15% tax:6%

Answers

76.53 * 1.06 = 81.12 = final cost of the cd player

How many square tiles 1 foot (1 ft.) on each edge would be needed to cover the floor of an 8 ft. by 13 ft. room?

Answers

Multiply 13ft by 8ft =104

46.875 in a fraction

Answers

The fraction is 15/32

Answer:

375/8

Step-by-step explanation:

i'll give brainliest.
please put the answers by the question numbers :D

Answers

um that is way to much work for only 8 points

What is the solution of the equation 8(g - 18) =160

Answers

Answer:

g = 38

Step-by-step explanation:

8(g - 18) = 160

8g - 144 = 160

g = (160 + 144) / 8

g = 38

Answer:

g = 38

Step-by-step explanation:

8(g - 18) = 160

8g - 144 = 160

8g = 204

g = 38

help me please. 20points

Answers

Answer:

C

Step-by-step explanation:

C is exactly double the graph

Nina can type 128 words is 4
minutes. At this rate, how many
words can Nina type in
an hour?

Answers

Answer:

1920

Step-by-step explanation:

Nina can type 128 words is 4 minutes. At this rate, how many words can Nina type in an hour?

60 divided by 4 is 15

15x128= 1920

To get the 10% discount, a shopper must spend at least $300.
Use d to represent the spending (in dollars) of a shopper who gets the discount.

Answers

Answer:

d ≥ 300

Step-by-step explanation:

I took the test and it was right! :)

CAN SOMEONE PLEASE HELP ME FIND WHICH MAPPING DIAGRAM REPRESENTS A FUNCTION????

Answers

Answer:

Step-by-step explanation:

Only (C) is represents the function.

HrjrjdjrjruururuGnore  this    

Describe a real-life situation that involves the unit rate 7:1. Explain how the quantities are related.​

Answers

Answer:

So can u explain the question a lil bit more

Step-by-step explanation:

Two-thirds of Chen's homeroom class plan to participate in the school talent show. If 16 students from the class plan to participate, how many students are in the homeroom class?

Answers

Answer:

24 peeps

Step-by-step explanation:

help please it’s due today

Answers

Answer:

A

Step-by-step explanation:

I am not 100% sure how to show it but i graphed it and it's A

True or False: The additive inverse (opposite) of (a^2-2a+3) is (-a^2+2a-3)

Answers

Answer:

true

Step-by-step explanation:

PLEASE HELP!!

Enter numbers into the table so that the paired values are in a proportional relationship.

x 2 6 8 (?) 20
y (?) 3 4 6 10

fill the (?) in.

Answers

Answer: x is, 2 6 8 10 20-- i think

Step-by-step explanation: y is, 2 3 4 6 10

Answer:

ya he's rite

Step-by-step explanation:

There are 4 consecutive integers that have a sum of 338. What is the least of these integers?

Answers

Answer:

The least of the four integers is 83.

Step-by-step explanation:

Let x be the first integer.

x + (x + 1) + (x + 2) + (x + 3) = 338

4x + 6 = 338

4x = 332

x = 83

83 + 84 + 85 + 86 = 338

what is the answer??
5x - (y + 2z)

Answers

Answer:

5x − y − 2z

Step-by-step explanation:

Answer:

5−-2

Step-by-step explanation:

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