1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Volgvan
3 years ago
12

Prove that the sum of three successive even integers is always a multiple of 6.​

Mathematics
1 answer:
zlopas [31]3 years ago
5 0

Answer:

if you see three consecutive numbers you can figure out that at least one of them is divisible by 6

Step-by-step explanation:

you can use mathematical induction by proving it mathematically. for a number to be divisible by 6, it should be divisible by 2. Since all are even numbers the number will be divisible by 2.

You might be interested in
Mau bought a television for 330.The tax rate is 8% what is the total amount paid for the television
nika2105 [10]
If the tax rate is 8%, we need to find 108% of the price, or 330 times 1.08, which is $356.4
7 0
3 years ago
In a version of the game of roulette, a steel ball is rolled onto a wheel that contains 19 red, 19 black and 2 green slots. If t
trasher [3.6K]

Answer:

The probability is 0.3576

Step-by-step explanation:

The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.

For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773

To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649

The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.

As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576

5 0
4 years ago
What is the value of f(2) the function f(x)=4x^2-5x+1
snow_tiger [21]

Answer: f(2)=7

Step-by-step explanation:

F(2)= 4x2^2-5x2+1

4x4-10+1

6+1=7

7 0
3 years ago
I need help with this question
mr Goodwill [35]

Answer:

It would be 1.5m+4 is greater than or equal to 7. This is because 1.5m is the regular rate of growth, plus the 4cm already grown. She wants the hair to be no shorter than 7cm. So, the 15m+4 has to be greater than the 7cm.

Step-by-step explanation:

5 0
3 years ago
How do I construct bisectors, angles, & segments?
Doss [256]

Answer:

Step-by-step explanation:

These come directly from my textbook, so I'm not sure if your teacher will accept this kind of work.

1. Angle construction:

Given an angle. construct an angle congruent to the given angle.

Given: Angle ABC

Construct: An angle congruent to angle ABC

Procedure:

1. Draw a ray. Label it ray RY.

2. Using B as center and any radius, draw an arc that intersects ray BA and ray BC. Label the points of intersection D and E, respectively.

3. Using R as center and the same radius as in Step 2, draw an arc intersecting ray RY. Label the arc XS, with S being the point where the arc intersects ray RY.

4. Using S as center and a radius equal to DE, draw an arc that intersects arc XS at a point Q.

5. Draw ray RQ.

Justification (for congruence): If you draw line segment DE and line segment QS, triangle DBE is congruent to triangle QRS (SSS postulate) Then angle QRS is congruent to angle ABC.

You can probably also Google videos if it's hard to imagine this. Sorry, construction is super hard to describe.

4 0
3 years ago
Other questions:
  • Washington Middle School has the annual musical production this weekend. Of the 900 tickets sold, 45 percent are for the Friday
    8·2 answers
  • A jet plane flying at an altitude of 8000 meters drops 600 meters. Show calculator Select the best answer What is the new altitu
    12·1 answer
  • Segments AB and CD belong to the same line. We know that they overlap. AB = a and CD = b, and the overlapping part measures c. D
    15·1 answer
  • 6 Every marble in a jar has either a dot, a stripe, or both. The ratio of striped marbles to non-striped marbles is 3:1, and the
    7·1 answer
  • If you help me it will be amazing I’m so confused
    13·1 answer
  • A pie chart titled Which Pet Would you Choose: Dog, Cat, or Fish question mark. 50 percent chose a dog, 25 percent chose a cat,
    9·1 answer
  • What is (-4,4) reflected on the x-axis
    13·2 answers
  • The function shown is reflected across the y-axis to create a new function. Which is true about the domain and range of each fun
    13·1 answer
  • The cost of renting a car is $40 plus an additional $0.60 for each mile driven.write an expression to represent the cost of rent
    8·1 answer
  • What is the slope of the graph?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!