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frez [133]
1 year ago
6

Which shows how to solve the equation -4/5 x = 80 for x in one step

Mathematics
1 answer:
san4es73 [151]1 year ago
8 0

Answer:

-  \frac{1}{100}

Step-by-step explanation:

-  \frac{4}{5x}  = 80 \\  -  \frac{4}{80 }  = 5x \\ x =  -  \frac{1}{100}

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A container in the shape of this cuboid holds 2 litres of water.
zysi [14]

Given:

Volume of cuboid container = 2 litres

The container has a square base.

Its height is double the length of each edge on its base.

To find:

The height of the container.

Solution:

We know that,

1 litre = 1000 cubic cm

2 litre = 2000 cubic cm

Let x be the length of each edge on its base. Then the height of the container is:

h=2x

The volume of a cuboid is:

V=l\times w\times h

Where, l is length, w is width and h is height.

Putting V=2000,\ l=x,\ w=x,\ h=2x, we get

2000=x\times x\times 2x

2000=2x^3

Divide both sides by 2.

1000=x^3

Taking cube root on both sides.

\sqrt[3]{1000}=x

10=x

Now, the height of the container is:

h=2x

h=2(10)

h=20

Therefore, the height of the container is 20 cm.

8 0
3 years ago
What is the midpoint of the line segment with endpoints (-1, 3) and (-5,5)?
Debora [2.8K]

Step-by-step explanation:

it is the ans to the midpoint.

7 0
3 years ago
Will 1/4 x 7/8 be larger or smaller than 1/4? Explain your answer.
sweet-ann [11.9K]
It will be smaller than 1/4.

The reason being that 7/8 is a fraction which is less than 1, and that it can only be greater than 1/4 when the multiplying number, is a number which is greater than 1.

Note: When  a positive number is multiplied by a number which is less than 1, it makes the positive number to be smaller and

When a positive number is multiplied by a number which is greater than 1, it makes the positive number to be bigger.

5 0
3 years ago
Read 2 more answers
Gabrielle wants to tile a room with an area of 320 square feet. The width of the room is 4/5 it's length. What are the length an
vampirchik [111]
I hope this helps you

8 0
3 years ago
Is the given function phi(x) = x^2 - x^-1 an explicit solution to the linear equation d^2y/dx^2 - 2/x^2 y = 0? Circle your answe
mart [117]

Answer:

Yes

Step-by-step explanation:

We are given that a function \phi(x)=x^2-x^{-1}

We have to find that given function is an explicit solution to the linear equation

\frac{d^2y}{dx^2}-\frac{2}{x^2}y=0

If given function is an explicit solution of given linear equation then it satisfied the given differential equation

Differentiate w.r.t x

Then we get \phi'(x)=2x+x^{-2}

Again differentiate w.r.t x

Then we get

\phi''(x)=2-\frac{2}{x^3}

Substitute all values in the given differential equation

2-\frac{2}{x^3}-\frac{2}{x^2}(x^2-x^{-1})

=2-\frac{2}{x^3}-2+\frac{2}{x^3}=0

Hence, given function is an explicit solution of given differential equation.

Therefore, answer is yes.

3 0
3 years ago
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