Since it doesn't give us a specific variable to use I'll just use y. and my phone doesn't have the less than or equal to sign so ill just say how to draw it i guess.
41. y (less than sign with line) 4.
42. y × (-7) > 42
43. y ÷3 - 5 (greater than sign with line) 11
and im not 100% sure on 44 so... anyway you probably know what the greater than or equal to sign and the less than or equal to sign are so. yeah hope it helped.
Answer:
The son is five years old
Step-by-step explanation:
Let the son's age be x
A man is five as old as his son, 5x
In five years, he would be three times as old as his son
In five years: son would be x+5
Father 5x+5
3(x+5)=5x+5
3x+15=5x+5
Collect like terms
15-5=5x-3x
10=2x
Divide by 2
10/2=2x/2
x=5
The son is five years old
6 x 270= 1,620
I hope this helped
The factorial ! just means we multiply by every natural number less that the value so
6! =6×5×4×3×2×1= 720
for permutations we use the formula n!/(n-r)!
so we have 8!/(8-5)!=8!/3!=8×7×6×5×4
for combinations s we have n!/(n-r)!r!
so we have 12!/(12-4)!4!=12!/8!4!=12×11×10×9/4×3×2=11×10×9/2=99×5
Answer: 16
Step-by-step explanation:
9,10,12,x ,20, 25 so we know the median is 14 which is the middle number.
Since the numbers are 6 it means there will be 2 middle numbers and if you divide them it will be 14.
we know one of the middle numbers is 12 and we trying to find x .
So we could use the equation x + 12 = 2(14)
x + 12 = 28
-12 -12
x= 16 so X is 16. check: 16+12=28/2 is 14.