7th grade: 62/120 of the class is made up of girls; (120-62)/120 of boys.
8th grade: 58/120 of the class is made up of boys; (120-58)/120 of girls.
Looking at the info for boys only: Compare (120-62)/120 with 58/120. What do you see?
fffffffffff ffffffffffff ffffffffffffff ffffffffffff fffffffffff fffffffffffffffff
Step-by-step explanation:
Step-by-step explanation:
using trigonometric ratios,
sin theta= opposite ÷ hypoteneus (h)
sin 45°= 3 root 2 ÷ h
1/root 2= 3 root 2 ÷h
h= 3× root 2 × root 2
= 3×2
= 6 unit
Answer: Sometimes
Step-by-step explanation:
A system of equations can intersect at no points; this is when the lines are parallel, which means they have the same slope and different y-intercept.
A system of equations can intersect at one point; this is when the lines have different slopes.
A system of equations can intersect in infinitely many points; this is when the graphs overlay one another, which means they are graphs of the same line. The two equations would equal the same thing.
Answer:
1. x + 24 = 3x
24 = 3x - x
24 = 2x
12 = x
3x
3 (12)
36
2. 10x - 27 = 7x
10x - 7x = 27
3x = 27
x = 9
7x
7 (9)
63
3. 5x + 1 = 6x - 13
5x - 6x = -13 - 1
-x = -14
x = 14
5x + 1
5 (14) + 1
71
4. 6x + 3 = 4x + 39
6x - 4x = 39 - 3
2x = 36
x = 18
6x + 3
6 (18) + 3
111
1. B
2. A
3. H
4. E
