1a) Time = Distance/Speed
t= 20/x seconds
b) d=25m
s= x+0.5 m/s
t= d/s = 25/x+0.5
c) total time = 6 seconds
therefore, 20/x + 25/x+0.5 = 6
make a common denominator of x(x+0.5):
(20(x+0.5) + 25x)/x(x+0.5) = 6
move the demoninator to the other side, and expand to form:
20x+10+25x = 6x(x+0.5)
45x+10= 6x^2 +3x
tidying it up (moving everything to one side)
6x^2 - 42x-10 = 0
divide everything by 2
3x^2-21x-5= 0 (as required)
d) use quadratic formula to solve
e) therefore, what does x equal?
hope this helps
X=number of boys in the club at first
y=number of girls in the club at first.
(x+y) = members were in the club at first.
We can suggest the next system of equation.
x/y=1/2 ⇒ x=y/2
(x+5)/y=3/4 ⇒4(x+5)=3y
Finally, we have the next system of equations:
x=y/2
4(x+5)=3y
We are going to solve by substitution method.
4(y/2 + 5)=3y
2y+20=3y
2y-3y=-20
-y=-20
y=20
x=y/2
x=20/2
x=10
(x+y)=10+20=30
Answer: There were 30 members int the club at first, they were 10 boys and 20 girls.
Answer:
4/6
Step-by-step explanation:
Because if you make the original 1/3 to 2/6 then subtract 2/6 from 6/6 then you get 4/6
Answer: 189
All Steps and Information Found in Image.
Hope This Helped!
52÷2=26 so i would guess there are 26 birds and 26 cats. tho im not a 100% sure since idk what to do with the 138 legs. I tried :-: