To answer this item, we have 4 as the speed of the kayaker in still water and the speed of current be y.
When the karayaker moves upstream or against the current, his speed would be 4 - y. Further, if he moves downstream or with the current, the total speed would be 4 + y. The time utilized for the travel is equal to the ratio of the distance and the speed.
Total time = 9/(4 - y) + 9/(4 + y) = 6
We multiply the equation by (4-y)(4+y)
9(4-y) + 9(4 + y) = 6(4-y)(4+y)
Simplifying,
72 = 96 - 6y²
Transposing all the constants to only one side of the equation and rearranging,
6y² = 96 - 72
y² = 4
y = 2
Hence, the speed of the river's current is 2 miles/hr. <em>The answer is letter B.) 2 miles/hour.</em>
Answer:
N < 5
Step-by-step explanation:
"Makayla has $8 to buy tickets at the school fair. each ticket costs $1.50" can be written as $8 = ($1.50/ticket)*N.
Dividing both sides by ($1.50/ticket) results in
$8
---------------------- = 5 1/3 tickets
($1.50/ticket)
or N < 5.
1/4*x=3/8
1*x=3*4/8
X=12/8
3/2
Answer:
Step-by-step explanation:
First, you need to find the slope of the line. To do this you need to choose two points on the graph. The points you are given are (-2, 1) and (4, 6). Then use these to find the slope.



You can then plug this and one of your chosen points into the slope-intercept formula




Answer:
12/51
Step-by-step explanation:
There are 13 cards for each shape in a 52-card deck
If the first card is a heart, that means the probability is 13/52 = 1/4
If the second card is a heart, that means the probability is 12/51.