Answer:
Vp = 1 / 24 miles/min the speed in still water
Step-by-step explanation:
Lets call Vp speed of swimmer and Vw speed of water then:
Downstream Vp + Vw
Swimmer does 2 miles in 40 minutes then he does
1 mile in 20 minutes
Upstream Vp - Vw
Swimmer does 2 miles in 60 minutes then he does
1 mile in 30 minutes
We get the following system:
(Vp + Vw )* 20 = 1 (1) and
( Vp - Vw )* 30 = 1 (2)
Solving the system
From equation (1)
20*Vp + 20* Vw = 1 ⇒ Vw = ( 1 - 20*Vp ) /20
Plugging that value in the second equation
(Vp - Vw )* 30 = 1 ⇒ [ Vp - ( 1 - 20*Vp )/20 ] * 30 = 1
[20*Vp - 1 + 20*Vp ] * 30/20 = 1 ⇒ [ 40*Vp - 1 ] *30 = 20 or
[ 40*Vp - 1 ] *3 = 2
120* Vp - 3 = 2 ⇒ 120*Vp = 5 and Vw = 1 /120 miles/min
Vp = 5 / 120 miles/min or
Vp = 1 / 24 miles/min
and speed of water Vw = 1 / 120
Answer:
48
Step-by-step explanation:
48 is a multiple of 4 as these are the first multiples of number 4. (4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …)
The answer is the 3rd option, y>2/3x+3
This is because first of all, the slope is 2/3x I figured out it was 2/3 because I picked two points, (0,3) and (-3,1). Then I found slope which was 2/3x. I looked at the graph, and the y-int was 3 so good so far. Then I put y is GREATER because it’s shading above the line!!!
3y^-4/3 x 2 3/y
Write in exponential form with the base of y
= 3y^-4/3 x 2y^1/3
Calculate the product
= 6y^-1
Any expression raised to the power of equals its reciprocal
= 6 x 1/y
Calculate the product
= 6/y
