Answer:
Step-by-step explanation:
- Math session = 45 min = 3/4 hr
- French session = 30 min = 1/2 hr
- Number of math sessions = m, total math hours = 3/4m
- Number of French sessions = f, total French hours = 1/2f
<u>Total hours constraint:</u>
<u>Number of session constraint:</u>
<u>So the system is:</u>
Hi!
The equation looks like this:
P = N * 12, where P represents the total number of pencils and N is number of packs
Hope this helps!
Answer:
5.4
Step-by-step explanation:
To find the distance between two points,
and
, plug them into the following equation:

Two negatives make a positive

Therefore, the distance between the two points rounded to the nearest tenth is 5.4.
I hope this helps!
Answer:
x ≈ 1.32, x ≈ - 5.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ±
( subtract 2 from both sides )
x = - 2 ± 
Thus
x = - 2 -
≈ - 5.32 ( to 2 dec. places )
x = - 2 +
≈ 1.32 ( to 2 dec. places )