Translate the phrase into an algebraic expression. w more than 9

Ashlynd's backpack has a mass of 30,000 grams. What is the mass of ashlynd's backpack on kilograms?

borishaifa [10]

1,000 grams = 1 kilogram
2,000 grams = 2 kilograms
3,000 grams = 3 kilograms
4,000 grams = 4 kilograms
5,000 grams = 5 kilograms
.
.
10,000 grams = 10 kilograms
.
.
20,000 grams = 20 kilograms
.
.
30,000 grams = 30 kilograms

8 0

3 years ago

Describe the process of how to find the volume of a prism but in your own words

Anton [14]

Answer:

Please check explanations

Step-by-step explanation:

Here, we want to make a description

Mathematically, a prism is a solid shape with parallel bases, separated by a particular height

To find the volume of the prism, all we have to do is to find the area of one of the bases

After this, we then multiply the value obtained by the height of the prism. This gives the volume of the prism

5 0

2 years ago

Please help will mark brainliest for the right answer

hodyreva [135]

Answer:

a). x + y + 90° = 180°

b). x = 67°

y = 23°

Step-by-step explanation:

The sum of all angles in a triangle is 180°.

One of the angles in the figure is a right angle, or 90°. Therefore the sum of the three angles in the figure is:

x + y + 90 = 180

We are also told that x + 2 = 3y.

Rearranging that to isolate x gives us:

x = 3y - 2

Thake the first equation and substitute the above expression of in place of x:

x + y + 90° = 180°

(3y-2) + y + 90° = 180°

4y + 88° = 180°

4 y = 92°

y = 23°

To find angle x, use y = 23°

x = 3y - 2

x = 3*(23°) - 2

x = 67°

The sum 90° + 67° + 23° = 180°

4 0

2 years ago

Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)

Citrus2011 [14]

Answer:

It is 3y = 4x + 10

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

${x}^{2} - xy + {y}^{2} = 7$

introduce dy/dx :

$\frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0$

make dy/dx the subject:

$2x - y - \frac{dy}{dx} + 2y \frac{dy}{dx} = 0 \\ \\ 2y \frac{dy}{dx} - \frac{dy}{dx} = y - 2x \\ \\ \frac{dy}{dx} (2y - 1) = y - 2x \\ \\ \frac{dy}{dx} = \frac{y - 2x}{2y - 1}$