Finf all the pairs of numbers that have a HCF of 30 and an LCM of 3150.

HCF=30

1,30,3,10,5,6

LCM=3150

1,3150,

Step-by-step explanation:

Pair are

30 , 3150  

90, 1050

150, 630

210 , 450

Step-by-step explanation:

Let the numbers be a and b

a = 30x  and  b=30y

HCF of a and b = 30

Product of numbers  = LCM * HCF

30x * 30y = 30 * 3150

       30xy = 3150

           xy = 3150/30 =  105    

1*105   or 3* 35    or   5 * 21    or   7 * 15  

1)  105 = 1*105  

      30xy =30*1 , 30*105 =   (30 , 3150)

2) 105 = 3 * 35

 30xy =   30*3  , 30*35    = 90 , 1050

90 , 1050

3) 150 , 630

4) 210 , 450

d

step-by-step explanation:

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt