So see if u can factor out the trinomial.
it's factorable.
(x+3)(×-2)
so divide that factors by (×-2)
(×-2)(×+3)
---------
(×-2)
the (×-2) cancel out, leaving x+3
This game isn't too bad.
We have a proportion which represents another number.
Basically the problem states that the ratio:
22/40 is applicable to the ratio of:
# Wins / # Games
I'll represent the # Wins with the letter W.
and I'll represent the # of Games with the letter G.
So we simply set them equal to each other.
22/44 = W / G
They gave us G = 162 games
22 / 44 = W / 162
Cross multiply. So, the denominator on the left side of the equation will multiply with the numerator on the right. While the denominator on the right multiplies with the numerator on the left.
44*W = 22*162
You'll probably need a calculator for 22*162, but you can use long multiplication if it isn't allowed.
44W = 3564
Divide 44 on both sides.
W = 3564 / 44
W = 81
C. 81 is our answer!
It’s 1. (4x - 12 + 12 = 16 + 12)
<h3>
Answer: 14 km per hour</h3>
=====================================================
Work Shown:
x = rowing speed when there is no current
c = speed of the current
speeds are in km per hour
-----------
Going downstream, i.e. with the current:
x+c = faster speed since the current is pushing you
distance = rate*time
d = r*t
40 = (x+c)*2
x+c = 40/2
x+c = 20
c = 20-x
-----------
Going upstream, i.e. against the current:
x-c = slower speed since the current is working against you
d = r*t
16 = (x-c)*2
16 = 2x-2c
2x-2c = 16
2(x-c) = 16
x-c = 16/2
x-c = 8
x-(20-x) = 8 ... plug in c = 20-x
x-20+x = 8
2x-20 = 8
2x = 8+20
2x = 28
x = 28/2
x = 14 km per hour is the rowing speed when there is no current
Side note: the speed of the current is c = 20-x = 20-14 = 6 km per hour.
