Combination Formula: (n = distinct objects, r = how many you pick) n!/(r!(n-r)!
So n = 7, r = 5
n! = 7! = 5040
R! = 5! = 120
(n-r) = 2! = 2
120*2=240
5040/240 = 21
21 combinations!
Use rates, so 8 garden hoses over 18 hours
then find the how many hours one garden house can fill up by doing this = 18/8 you divide the 8 for both sides which is about 2.25/1
so then you times 9 which is about 20/9 hoses
your answer is 20
I believe the answer is a=58/7.
7a-17=41
7a=41+17
7a=58
a=58/7
Answer:
that would be 67.2
Step-by-step explanation:
I hope this helps!
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x + 14 < 4 , you will treat this as if you are solving algebraic equation with equality sign but be mindful not to change the inequality sign to equality sign.
Subtract 14 from both sides of the equation , we have
2x < 4 - 14
2x < - 10
divide both sides by 2
x < -5
you should notice that the inequality sign did not change , this is because we divided by positive 2.
(ii) x - 7 > 3
Add 7 to both side
x > 10
(iii) considering the modulus symbol , it means the function inside the modulus could be either positive or negative , considering the positive aspect first , we have
2x - 3 = 11
2x = 11 + 3
2x = 14
x = 7
then considering the negative aspect , we have
- ( 2x - 3 ) = 11
- 2x + 3 = 11
-2x = 11 -3
-2x = 8
x = -4