ABCD is a quadrilateral inscribed in a circle, as shown below: Circle O is shown with a quadrilateral ABCD inscribed inside it.

Let the number of two-hour lessons be x and the number of one-hour lessons be y; this gives us the equations
2x + y = 25
50x + 30y = 690
To find x and y, we can solve the quadratic equation provided;
from the first equation:
y = 25 - 2x.......i
By substituting equation i into the second equation, we arrive at:
50x + 30(25 - 2x) = 690
50x + 750 - 60x = 690
-10x = -60
So,
x = 6
Thus, we find that the total number of two-hour lessons is 6 hours.

The amount of gravel and the area it covers are examples of ratios.

A weight of 7 lb can cover 1 square foot, while 315 lb can cover an area of 45 square feet.

The relevant parameters are:

To find the number of pounds needed for 1 square foot , perform the following calculation:

Thus, we have:

Cross multiply

And divide both sides by 36

The area that 315 lb of gravel can cover is calculated as follows:

So, we have:

Cross multiply

And divide both sides by 252

Thus, 7 lb will cover

1 square foot, and 315 lb will encompass an area of

45 square feet.

Read more about ratios at:

4 socks equal 1 pair of jeans
2 pairs of jeans equal 3 pairs of shoes
6 pairs of shoes equal 1 coat

Since 1 pair of jeans equals 4 socks, 2 jeans amount to 8 socks.
That means 8 socks correspond to 3 shoes.
If 3 shoes equal 8 socks, then 6 shoes would equal 16 socks.
Therefore, 16 socks are equivalent to 1 coat.
By this logic, 64 socks would translate to 64 divided by 16, which equals 4 coats.

Answer:

There are 369 students who enrolled in either calculus or discrete mathematics.

Step-by-step explanation:

I'll create a Venn diagram to illustrate these figures.

Let’s define:

A represents the count of students who completed calculus.

B stands for those who took discrete mathematics.

We have the following:

Here, a denotes the students who studied calculus exclusively, while represents those who took both subjects.

Using the same reasoning:

There are 188 students taking both calculus and discrete mathematics.

This implies that

A total of 212 students studied discrete mathematics.

<pBased on this,

345 students have attended a calculus course.

<pSo, from this information,

We find the total number of students who took either calculus or discrete mathematics.

A total of 369 students participated in either calculus or discrete mathematics.

The attached graph shows the moment when his catch surfaced at (35, 0). Given that it ascends consistently, the graph is linear. We need to establish the starting depth before he reeled it in. Using the equation d=rt, where d represents depth, r is the speed, and t is the time, we can find the distance traveled to reach the surface. Setting up the equation yields: d = 0.1(35). This indicates the catch traveled 3.5 m from a starting point of 3.5 m underwater, ascending at a rate of 0.1 m per second.