- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.

Step-by-step explanation:

22 total animals

56 total legs

ducks have 2 legs

cows have 4 legs

12 times 4 = 48 ( 12 cows with 4 legs each cow = 48 legs)

4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)

6 0

2 years ago

Indicate all possible values for the variable in each of the expressions: sqrt(2x+2)+sqrt(6-4x)

IrinaK [193]

Answer:

Given expression:

$\sqrt{2x+2}+\sqrt{6-4x}$

The first root is valid when:

2x + 2 ≥ 0 ⇒ 2x ≥ - 2 ⇒ x ≥ - 1

The second root is valid when:

6 - 4x ≥ 0 ⇒ 4x ≤ 6 ⇒ x ≤ 1.5

So the variable x can get values within interval:

-1 ≤ x ≤ 1.5 or
x = [-1, 1.5]

3 0

2 years ago

If the dimensions of the following cylinder are quadrupled, what will be the volume of the new similar cylinder?

Alik [6]

Answer: First option is correct.

Explanation:

Since we have given that

Radius = 11 inches

Height = 14 inches

Now, according to question, we have mentioned that all the dimensions of the cylinder is to be quadrupled i.e. four times.

Then,

Radius is given by

$4\times 11=44 inches$

Height is given by

$14\times 4=56\ inches$

As we know the formula for " Volume of cylinder ":

$V=\pi r^2h\\\\V=3.14\times 44\times 44\times 56=340426.24\ in^3$

Hence, our volume of new similar cylinder is 340426.24 cubic in.

Therefore, First option is correct.

6 0

3 years ago

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