Answer:
Molly's Z score for LSAT
z-score=-2
Molly's Z score for MCAT
z-score=2
Step-by-step explanation:
z-score for LSAT
Molly's score=120
mean=150
Standard deviation=15
z-score= (Molly LSAT score-mean)/standard deviation
z=120-150/15=-30/15=-2
z-score for MCAT
Molly's score=52
mean=40
Standard deviation=6
z-score= (Molly MCAT score-mean)/standard deviation
z=52-40/6=12/6=2
X is equal to 4
Because RS + ST=RT
So basically x+3x=5x-4
4x=5x-4
-4x -4x
-1x=-4
x=4
The opposite of a equation. Such as addition will be subtraction
∠ADC = 112°
∠ADC =6x + 7 + 12x - 3
Equate both:
6x + 7 + 12x - 3 = 112
Solve for x :
6x + 7 + 12x - 3 = 112
Combine like terms:
18x + 4= 112
Take away 4 from both sides:
18x = 108
Divide both sides by 18:
x = 6
Find ∠ADB:
6x + 7 = 6(6) + 7 = 43
Answer: ∠ADB = 43°
Answer:
3/8, 2/5, 11/20, 23/40, 7/10, 3/4
Step-by-step explanation:
Just change them all to the same denominator and you're good. Put all of the fractions' denominators to 40 as that's the least common denominator. 3/4 turns into 30/40. 2/5 turns into 16/40. 3/8 turns into 15/40. 7/10 turns into 28/40. 11/20 turns into 22/40. And 23/40 stays as it is, because the denominator is already 40.
Putting them in order is now simple,
3/8 (15/40) < 2/5 (16/40) < 11/20 (22/40) < 23/40 < 7/10 (28/40) < 3/4 (30/40)
***When you multiply any fraction to change its denominator, multiply it by the same thing to the numerator as well.
Good Luck!
