Let s be the speed of the person's kayak in still water.
Given, speed of current = 2 mph
Upstream distance = 9 miles
Speed of the person upstream = s-2
Time traveled upstream = 9/s-2
Downstream distance = 13 miles
Speed of the person downstream = s+2
Time traveled downstream = 13/s+2
Given,
9/s-2 = 13/s+2
Cross-multiplying,
9*(s+2) = 13*(s-2)
9s + 18 = 13s - 26
Grouping like terms together,
13s-9s = 26+18
4s = 44
s = 11 mph
Speed of person's kayak in still water = 11 mph
Answer:
(2x - 3) • (x + 4)
Step-by-step explanation:
Step 1 :
Equation at step 1 :
(2x2 + 5x) - 12
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2+5x-12
The first term is, 2x2 its coefficient is 2 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 2 • -12 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is 5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2
-4 + 6 = 2
-3 + 8 = 5
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 8
2x2 - 3x + 8x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-3)
Add up the last 2 terms, pulling out common factors :
4 • (2x-3)
Step-5 : Add up the four terms of step 4 :
(x+4) • (2x-3)
Which is the desired factorization
Answer:

Step-by-step explanation:
Let x be cost of 1 eraser.



Yes, a common denominator is just the smallest multiple of all numbers in a group.
So the common denominator of 4, 8 and 12 would be 4, because 4 goes into all those numbers.