To have batting averages over 0.500,how many hits in 45 times at bat would raul and karen need

They would need 23 hits at 45 times at bat.

Step-by-step explanation:

Let x be the number of hits.

We can set up the following inequality:  

Now, multiplying both sides by 45 we get the solution:  

To have individual batting averages over 0.500, Raul and Karen would each need 23 hits for every 45 times at bat.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315