Andrei has a glass tank. first he wants to put in some marbles, each of which has a volume of 0.04 liters. then he wants to fill the tank with water until its completely full. if he uses 50 marbles, he will have to add 33 liters of water.

1. what is the volume of the tank?

2. andrei has exactly 20 liters of water. how many marbles does he need so the tank is full?

The tank has a volume of 35 L and in part 2) he would need 375 marbles.

Step-by-step explanation:

1) Each marble occupies a volumes of 0.04 L so 50 marbles occupy 50 times 0.04 L = 2 L.

Since he neede 33 L of water to fill the thank, it follows the total volume will be 33 L plus 2 L or 35 L

2) We need 15 L of volume of marbles since we only have 20 Liters of water. Therefore  what is needed is to calcuculate how many marbles have 15 L of marbles:

15 L  x  1 marble per 0.04 L  = 15/.04 marbles = 375 marbles

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

answer: 30

step-by-step explanation: its 30 because im a basketball player and stephen curry hits most of his shots so if you put 30 you might make the shot goodluck