Answer:
1/4, 3/8, 2/3
Step-by-step explanation:
3/8 is more than 25% (1/4) but is less than 66% (2/3) making the order 1/4 3/8 2/3.
Let x, represent the number of minutes and y represents the number of gallons of water in the tub, then the ordered pairs (2, 30) and (5, 12) satisfies the equation.
Therefore the equation is given by: (y - 30)/(x - 2) = (12 - 30)/(5 - 2)
(y - 30)/(x - 2) = -18/3 x = -6
y - 30 = -6(x - 2) = -6x + 12
y = -6x + 42
Required equation is y + 6x = 42.
Answer:
3 3/4 cups
Step-by-step explanation:
We need 3/4 cups of beans for 7 servings, and we need to figure out how many cups we need for <em>35 servings</em>. You'll notice that 7 times 5 is 35. We can multiply 3/4 by 5 to find the answer to our problem. This thought process looks somewhat like this:

Notice that we can multiply 5 by 3/4 to find the value of x.
So, 3/4 times 5 is equal to 15/4, or 3 3/4. So, you need 3 3/4 cups of beans for 35 servings.
Hopefully this was helpful! If you have any more questions, let me know.
Answer:
See below
Step-by-step explanation:
We shall prove that for all
. This tells us that 3 divides 4^n+5 with a remainder of zero.
If we let
, then we have
, and evidently,
.
Assume that
is divisible by
for
. Then, by this assumption,
.
Now, let
. Then:

Since
, we may conclude, by the axiom of induction, that the property holds for all
.
Answer:
the correct answer is 1980
Step-by-step explanation:
just know