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3 years ago

OTHER QUESTION RAN OUT OF TIME

Mathematics

1 answer:

Allisa [31]3 years ago

5 0

I would go with 12.0 kg because if you add the amount of food she ate and water she drank it would equal to 3 kg so you, get 3 kg and multiply it by 4 days and you get 12 kg

Hope this helps :)

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Show that n(n+1)(n+2) is divisible by 6<br>Solution<br>(

vladimir2022 [97]

Proof by induction

Base case:

n=1: 1*2*3=6 is obviously divisible by six.

Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.

For n+1:

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

(n(n+1)(n+2)+3(n+1)(n+2))

We have assumed that n(n+1)(n+2) is divisble by 6.

We now only need to prove that 3(n+1)(n+2) is divisible by 6.

If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.

The "cool" part about this proof.

Since n is a natural number greater than 1 we can say the following:

If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.

6 0

3 years ago

Please help ASAP!!!

Misha Larkins [42]

Answer:

x-20%

Step-by-step explanation:

I dont know the options, but hopefully this helps

7 0

3 years ago

the Drama club is running a lemonade stand to raise money for it's new production. A local grocery store donated cans of lemonad

aev [14]

Answer:

Here's what I get.

Step-by-step explanation:

You have two conditions.

1. The club must raise at least $500, and that comes from the sale of lemonade and water.

Let c = cans of lemonade

and b = bottles of water

Then the first condition is

(1) 2c + 1.50b ≥ 500

2. The club can accept a maximum of 360 cans and bottles

Your second condition is

(2) c + b ≤ 360

Your system of inequalities is

$\left[ \begin{array}{rcl}2c + 1.50b & \geq & 500\\c+b & \leq&360\\\end{array}\right]$

4 0

4 years ago

a rectangle is 6 units "wide" and x -8 use long it has the same area of a triangle with a height of 7 units and a base of x minu

Mashcka [7]

Answer:

42 square units

Step-by-step explanation:

The area of the rectangle is the product of its length and width:

area = 6(x -8)

The area of the triangle is half the product of its base and height:

area = (1/2)(x-3)·7

These two areas are equal, so we have ...

6(x -8) = (1/2)(x -3)(7)

6x -48 = 3.5x -10.5 . . . . eliminate parentheses

2.5x = 37.5 . . . . . . . . . . . add 48 -3.5x

x = 15 . . . . . . . . . . . . . . . divide by 2.5

The area of the rectangle is ...

area = 6(15 -8) = 42 . . . . square units.

3 0

3 years ago

Help!!! PLS THIS IS DUE IN 3 hours PLS I BEG OF YOU pls show your work

Shalnov [3]

(A)6x+4x-6=24+9x

10x-6=24+9x

10x-9x=24+6

x=30. (only 1 solution)

(B)25-4x = 15-3x+10-x

25-4x = 5-4x

25-5 = 4x-4x

30 = 0 (No solution)

4x+8 = 4x -13

4x-4x = -13-8

0 = -21 (No solution)

6 0

3 years ago

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