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2 years ago

The cost of a book is $x what is the expression in terms of x for the number of these books which are bought for $40

Mathematics

2 answers:

Olenka [21]2 years ago

8 0

Answer:

40/x

Step-by-step explanation:

The cost of 1 book is $X.

You bought (?) books for $40.

If you want to know how many books you bought, divide the total cost of books ($40) by the cost of 1 book ($X).

spayn [35]2 years ago

6 0

Answer:

In x dollars,

number of book that can be bought = 1

So, In 1 dollar,

number of books that can be bought = 1/x

Hence in 40 dollars,

number of books that can be bought = 40/x

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Newton and descartes each have 42 glow in the dark stickers newton divides his into 6 equal groups descartes divides his into 7

Elodia [21]

Answer:

newton

Step-by-step explanation:

first you have to divide Newtons stickers and get 7, then you divide Descartes stickers and get 6, so therefore Newton has more

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1 year ago

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D Evaluate arcsin (6)] at x = 4. dx

sineoko [7]

Answer:

$\frac{1}{2\sqrt{5} }$

Step-by-step explanation:

Let, $\text{sin}^{-1}(\frac{x}{6})$ = y

sin(y) = $\frac{x}{6}$

$\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})$

$\frac{d}{dx}\text{sin(y)}=\frac{1}{6}$

$\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}$ ---------(1)

$\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}$

$\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}$

cos(y) = $\sqrt{1-\text{sin}^{2}(y) }$

= $\sqrt{1-(\frac{x}{6})^2}$

= $\sqrt{1-(\frac{x^2}{36})}$

Therefore, from equation (1),

$\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}$

Or $\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}$

At x = 4,

$\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}$

$\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}$

$=\frac{1}{6\sqrt{\frac{36-16}{36}}}$

$=\frac{1}{6\sqrt{\frac{20}{36} }}$

$=\frac{1}{\sqrt{20}}$

$=\frac{1}{2\sqrt{5}}$

4 0

2 years ago

Choose the correct graph to fit the equation 3y=2x+3

Katyanochek1 [597]

Answer:

y = 2/3x + 1

Step-by-step explanation:

3y = 2x + 3 Divide all by 3

3 3 3

y = 2/3x + 1 Slope is 2/3

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2 years ago

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What is the difference between dilations and the other transformations?

skelet666 [1.2K]

All these appear to be physic phenomena because they do not change the composition of the matter.

However, while rotations, translations and reflexions do not alter the volume of the matter, dilation does increase the volume. 

Dilation, by definition, is an enlargement of the matter and directly opposed to contraction. For example, heat dilates the matter, while colds contract it. The exception to this is that when water becomes ice due to cold, it increases in volume.

3 0

3 years ago

Plz help me I don't know how to do this!!!!

m_a_m_a [10]

Answer:

x = 25

Step-by-step explanation:

Since it is an equilateral triangle it means that all the sides are 50. Each side is equal so, if you divide 150 by 3 you get 50. (and since perimeter is the adding of each side)

Now you want to try to figure out what the altitude is of the triangle so you divide it in half. Making the bottom side length now 25 because half of 50 is 25. You now have to use Pythagoreans theorem to figure out the altitude:

c^2 - a^2 = b^2

50^2 - 25^2 = b^2

2500 - 625 = b^2

1875 = b^2

√1875 = b

43.30127019

now you put that into the expression: x√3:

x√3 = 43.30127019

x = (43.30127019) ÷ (√3)

x = 25

Hope this helped!

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2 years ago