Answer:

Step-by-step explanation:
Let k represent the price in dollars at which Nita will buy the keyboard.
We have been given Nita wants to buy a new keyboard for her computer. She will buy the keyboard when it is on sale for under $50.
This means that Nita will buy the computer, when its price (k) is less than $50. We know that sign < represents less than.
We can represent our given information in an inequality as:

Therefore, our required inequality would be
.
Answer:
A shipment of 150 bottles will weigh 120 pounds.
Step-by-step explanation:
Given that:
24 bottles of water weigh 30 pounds
Ratio of bottles to weight = 24 : 30
Number of bottles in shipment = 150
Weight of bottles = x
Ratio = x : 150
As the relation is proportional
24 : 30 :: x : 150
Product of mean = Product of extreme
30x = 24 * 150
30x = 3600
Dividing both sides by 30

Hence,
A shipment of 150 bottles will weigh 120 pounds.
Are you sure that one of the variables is v and not y?
v+4= -2(x-1)
Since you posted v, I will use v in place of y.
v + 4 = -2x + 2
v = -2x + 2 - 4
v = -2x - 2
Done!
D.) Gamma rays have shortest wavelengths and highest frequency
So, option D is your answer!
Hope this helps!
Answer:
1) Brazil - 190,000,000
2) Egypt - 77,000,000
3) Australia - 20,000,000
4) Singapore - 4,400,000
5) Luxembourg - 470,000