− 50

54



−

100

40



+1.65=minus, start fraction, 54, divided by, 50, end fraction, minus, start fraction, 40, divided by, 100, end fraction, plus, 1, point, 65, equals

Step-by-step explanation:

First of all, let us lay out the problem clearly:

This can be solved using a calculator, by first simplifying the individual fractions first, to decimals, then computing the addition and subtraction.

using your calculator, punch (-50 ÷ 54), your results should be:

-50 ÷ 54 = -0.93

Next, punch ( 40 ÷ 100), you should get 0.4

Now, join the individual results together to get:

- 0.93 - 0.40 + 1.65

Finally, still using the calculator, input the values as shown:

- 0.93 - 0.40 + 1.65 = 0.32

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

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