Using algebra...
n and n+2 are the integers
n*(n+2)=288
n^2+2n=288
n^2+2n-288=0
288=2*2*2*2*2*3*3=(2*2*2*2)*(2*3*3)=16*18 and 18-16=2
factor
(n+18)(n-16)=0
n+18=0
n=-18
n+2=-16
this is one solution
n-16=0
n=16
n+2=18

this is another solution
as you can see, it's just a matter of factoring
288

using arithmetic...
√288=16.97≈17

16 and 18 are the integers (as well as -16 and -18)

3 0

2 years ago

The ratio of white marbles to blue marbles in Olivia's bag is 2 to 5. If there are more than 50 marbles in the bag, what is the

maksim [4K]

Step-by-step explanation:

the distributing ratio is 2:5.

that means for every 2 white marbles there must be 5 blue marbles.

so, we are taking about "groups" or multiples of 7 (2+5 = 7).

now, even 7×7 = 49 is too small.

but the next multiple of 7 (7×8 = 56) is now big enough to include at least 50 marbles.

so, in order to keep the 2:5 ratio strictly in place, the minimum number of marbles in the bag is 56.

4 0

2 years ago