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2 years ago

The sum of 48 and three times a number is 54 find the number help mahhhh

Mathematics

1 answer:

Sophie [7]2 years ago

4 0

Answer:

Step-by-step explanation:

48 + 3x = 54

3x= 54-48

3x= 6

x= 2

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A fish is 4 feet under water and swims up 1 foot towards the surface. What is its position

vampirchik [111]

Answer: $\Large\boxed{-3~\text{feet under water}}$

Step-by-step explanation:

Given information

$\text{Fish is 4 feet under water (-4)}$

$\text{Swims up by 1 foot (+1)}$

Derived expression from the given information

$\text{Position = Initial + Change}$

Substitute values into the given expression

$\text{Position = }(-4)+(1)$

Simplify the position

$\text{Position = }-3$

Therefore, the current position of the fish is:

$\Large\boxed{-3~\text{feet under water}}$

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1 year ago

What is 2 2/3 divided by 1 1/2 ?

belka [17]

Answer:

1 maybe

Step-by-step explanation:

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2 years ago

Read 2 more answers

Let φ(x, y) = arctan (y/x) .

Alexandra [31]

Answer:

a) $\large F(x,y)=(-\frac{y}{x^2+y^2},\frac{x}{x^2+y^2})$

b) $\large \mathbb{R}^2-\{(0,0)\}$

c) the points of the form (x, -x) for x≠0

Step-by-step explanation:

If φ(x, y) = arctan (y/x), the vector field F = ∇φ would be

$\large F(x,y)=(\frac{\partial \phi}{\partial x},\frac{\partial \phi}{\partial y})$

On one hand we have,

$\large \frac{\partial \phi}{\partial x}=\frac{\partial arctan(y/x)}{\partial x}=\frac{-y/x^2}{1+(y/x)^2}=-\frac{y/x^2}{1+y^2/x^2}=\\\\=-\frac{y/x^2}{(x^2+y^2)/x^2}=-\frac{y}{x^2+y^2}$

On the other hand,

$\large \frac{\partial \phi}{\partial y}=\frac{\partial arctan(y/x)}{\partial y}=\frac{1/x}{1+(y/x)^2}=\frac{1/x}{1+y^2/x^2}=\\\\=\frac{1/x}{(x^2+y^2)/x^2}=\frac{x}{x^2+y^2}$