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
Answer: The area common to both triangle is 31.77 sq. cm.
Step-by-step explanation:
Since we have given that
30-60-90 triangles are placed.
So, the ratio of sides would be

Since Hypotenuse = 12 cm
So, it becomes,

So, Base would be

and Perpendicular would be

So, Area common to the both triangles would be

Hence, the area common to both triangle is 31.77 sq. cm.
Greetings!
"<span>Paula is now four times the age of Lynn. Lynn will be 16 in 10 years. How old was Paula four years ago?"
If Lynn will turn sixteen in ten years, she must be 6 at the current moment:
16-10=6
Since Paula is 4 times the age of Lynn, Paula must be:
6(4)
=24
24-4
=20
Paula was 20 years old, 4 years ago.
Hope this helps.
-Benjamin
</span>
Answer:
Yes
Step-by-step explanation:
All rational numbers can be fully expressed as a fraction.
In this case, -19/1.