2a. Annotate and describe the similarities and differences between Clare and Lin's methods. Here is an equation, and then all the steps Clare Here is the same equation,

14.x - 2x + 3 = 3(5x +9)
12x + 3 = 3(5x + 9)
3(4x + 1) = 3(5x + 9)
4x +1= 5x + 9
1=+9
-8= x

and the steps Lin wrote
wrote to solve it:
to solve it:
14x – 2x + 3 = 3(5x +9)
12x +3=3(5x + 9)
12x + 3 = 152 + 27
12x = 152 + 24
-3x = 24
2 = -8

there will be 35 boys in each team. : )

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

$79500

step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm