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joja [24]
3 years ago
9

PLZ HURRY DIS IS TIMED !!!!

Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

Answer:

The 4-5

Step-by-step explanation:

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1 (15 Points]. Prove the following statement: is divisible by 3 if only if it is a sum of three consecutive integers. be ddvisbk
Alinara [238K]

Answer:

<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.

Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:

n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).

So, n can be written as 3 times another integer, thus n is divisible by 3.

<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.

Assume that n is divisible by 3. The above proof suggest that we write it as

n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).

As k, k+1, k+2 are three consecutive integers, we have completed our goal.

Step-by-step explanation:

4 0
2 years ago
The scale of a model train is 1 inch to 13.5 ft. One of the cars of the model train is 5inches long. What is the length in feet
aleksklad [387]

Answer:

The length of the actual train's car is <u>67.5 feet.</u>

Step-by-step explanation:

Given:

The scale of a model train is 1 inch to 13.5 ft.

Now, to get the length of the actual car of the train.

Let the length of actual train's car be x.

And, the length of the car of model train = 5\ inches\ long.

<em>According to the scale of the model train, 1 inch is equivalent to 13.5 ft. </em>

<em>Thus, 5 inches is equivalent to </em>x.<em />

Now, to get the length of actual train's car using cross multiplication method:

\frac{1}{13.5} =\frac{5}{x}

By cross multiplying we get:

x=67.5\ feet.

Therefore, the length of the actual train's car is 67.5 feet.

7 0
3 years ago
What's -20 times -10 times -1 times 0
neonofarm [45]
Zero.
Anything times zero is zero.
-20 * -10 = 200
200 * -1 = -200
-200 * 0 = 0
4 0
3 years ago
Read 2 more answers
What is the inverse of the function shown?
Umnica [9.8K]

Answer:

The inverse is y = x + 5

Step-by-step explanation:

The general equation of a straight line is;

y = mx + c

In this case , the y-intercept is -5

So the partial equation is;

y = mx - 5

To get m, we use the x-intercept

The x-intercept coordinate is (5,0)

Insert this in the equation , we have;

0 = 5m-5

5m = 5

m = 5/5

m= 1

The equation of the line is thus;

y = x-5

So we want to find the inverse of this;

Replace x with d

y = d-5

Make d the subject of the formula

d = y + 5

replace d with x

x = y + 5

now replace x with y

So we have

y = x + 5

6 0
2 years ago
I need help whats 5t = 7 1/2
stich3 [128]

Answer: t= 3/2

Step-by-step explanation: 5/ 7 1/2 = 3/2

7 0
2 years ago
Read 2 more answers
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