B is the midpoint of line AC. AB=x+6 and AC=3x-31. What is the length of line BC

BC = 49

Step-by-step explanation:

Since B is the midpoint,  AB is half of AC & AB equals to BC

3x-31 = 2(x+6)           >> distribute 2 (AB is doubled here since AB=BC)

3x-31 = 2x+12            >> add 31 to both sides

3x = 2x+43                >> subtract 2x from both sides to get x alone

x = 43

AB=BC so you can use AB's equation

BC = x + 6

BC = (43) + 6

BC = 49

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.