A^2 - b^2 = (a-b)(a+b)
To test it, expand the right hand side.
Answer:
D. 3
Step-by-step explanation:
If the ratio of their sides is 4:1, and if PQ=12 inches, then Ab=12/4=3 inches.
Answer:ed44
Step-by-step explanation:
4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with
Taken mod 4, the last two terms vanish and we're left with
We have 
, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.
Taken mod 7, the first and last terms vanish and we're left with
which is what we want, so no adjustments needed here.
Taken mod 9, the first two terms vanish and we're left with
so we don't need to make any adjustments here, and we end up with 
.
By the Chinese remainder theorem, we find that any 
such that
is a solution to this system, i.e. 
for any integer 
, the smallest and positive of which is 149.
Question:
A grocery store has 120 bottles of spring water in stock. The store orders bottles of spring water in cases of 24. The store wants to order enough cases of spring water so it has more than 500 bottles in stock. Which inequality best models this situation?
A. 24x + 120 > 500
B. 24x - 120 > 500
C. 24x + 500 > 120
D. 24(x+120) > 500
Answer:
Option A. 24x + 120 > 500 is the inequality that best models this situation.
Step-by-step explanation:
The Number of bottles of spring water in the stock = 120
Each case of the spring water bottles contains 24 bottles
The store wants to order enough cases of spring water so that it has over 500 bottles in stock.
So there are already 120 bottles in stock .
The store will order
24x +120 > 500
where x is the number of spring water bottle cases
