All categories

3 years ago

Please help

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

8 0

Step-by-step explanation:

Total number of albums = 10 albums $\;$
Number of pages in each album = 42 pages
Stamps fit on 1 page = 40 stamps

As total number of pages in each album is 42 pages, so

➝ Total number of pages in 10 albums = (42 × 10) pages

➝ Total number of pages in 10 albums = 420 pages

Now, as the number of stamps fit on 1 page is 40 stamps, so

➝ Stamps fit on 420 pages = (420 × 40) stamps

➝ Stamps fit on 420 pages = 16,800 stamps

Therefore, 16,800 stamps are in the total collection.

You might be interested in

Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

3 years ago

Help me Thanks if you answered

JulsSmile [24]

Answer:

number 21: 5 ten thousands, 7 hundreds, 7 tens and 7 ones

Step-by-step explanation:

7 tens = 70

7 ones = 7

which equals 77, if the number is 50,777, you can see the last two digits in the tens and ones place are 7 and 7.

4 0

3 years ago

The average human heart beats 75 times every minute. The average horse has a heartbeat of 40 times every minute. How many times

Effectus [21]

Answer:

4500

Step-by-step explanation:

multiply the amount of times the heart beats every minute and multiply it by how many minutes which is 60 so 75 times 60 is 4500

6 0

3 years ago

Triangle A is reflected in the x axis to give triangle B, which is then reflected in the line y=x to give Triangle C. Draw Trian

OLEGan [10]

Step-by-step explanation:

always draw triangle b first. for triangle b it is reflected across the x-axis which means all y valies become negative. then for triangle c, you swap the x and y values around.

5 0

2 years ago

What is X in this question: x/3+x/4+1=x/2

Zepler [3.9K]

Answer:

x = -12

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers