Answer:
20
Step-by-step explanation:
an integer m is divisible by both 10 and 12
Lets write the prime factor for each number
the prime factor for 10 is 5,2
the prime factor for 12 is 3,2,2
Now take the product of the prime factors that are not in common and also in common
60 is divisible by 20
so answer is 20
Answer:
<h2>
<em>C. 28</em></h2>
Step-by-step explanation:
Answer:-3
Step-by-step explanation:
Answer:
Her initial position was:
-29ft
Where we use the minus sign because this is below the ocean's surface.
Now we also know that she keeps descending at a rate of -29ft per minute, then if she keeps descending for t minutes, her position will be:
P(x) = -29ft - 29ft/min*t
Now, we also know that she does not want to descend more than 81ft below the ocean's surface, then we have the inequality:
P(x) ≥ -81ft
-29ft - 29ft/min*t ≥ -81ft
Now let's isolate t in one side:
- 29ft/min*t ≥ -81ft + 29ft = -52 ft
- 29ft/min*t ≥-52 ft
t ≤ -52ft/(- 29ft/min) = 1.79 min
Then the maximum amount of time that she can keep descending is 1.79 minutes.
Answer:
(5,6)
Step-by-step explanation:
-6x+6y=6
-6x + 3y =-12
Multiply the first equation by -1
6x-6y=-6
Add this to the second equation
6x-6y=-6
-6x + 3y =-12
---------------------
-3y = -18
Divide each side by -3
-3y/-3 = -18/-3
y =6
Now we need to find x
6x - 6y = -6
6x -6(6) = -6
6x -36 = -6
Add 36 to each side
6x-36+36 = -6+36
6x = 30
Divide each side by 6
6x/6 = 30/6
x =5
