The easiest way, I think, is to convert the mixed number into an improper fraction, then multiply by 3.
3 1/2 = 7/2
7/2 · 3 = 21/2
now just change the improper fraction back to a mixed number by dividing and putting the remainder into fraction form
21/2 = 10 1/2
You could also multiply the whole number by 3 and the fraction by 3, ending up with 9 3/2, but then have to convert the improper fraction into a mixed number
3/2 = 1 1/2
then add the numbers together
9 + 1 1/2 = 10 1/2
either way works, whatever is easiest for you.
H^2=x^2+y^2 and xy=168 so y=168/x
625=x^2+28224/x^2
625=(x^4+28224)/x^2
x^4-625x^2+28224=0
I'll use the quadratic because this is a big number :P
x^2=(625±√(277729))/2
x^2=(625±527)/2
x^2=49
x=7
168/7=24
So the dimensions of the painting is 7 inches by 24 inches.
9514 1404 393
Answer:
$27,026.90
Step-by-step explanation:
The future value formula can be solved to find the present value required.
FV = P(1 +r)^t . . . future value of P compounded at annual rate r for t years
$100,000 = P(1 +0.08)^17
P = $100,000/3.70002 . . . . divide by the coefficient of P
P = $27,026.90
You would need to deposit #27,026.90 now to reach this goal.
Answer:
n = -19
Step-by-step explanation:
2(n+8) = n - 3
2n + 16 = n - 3
2n = n - 19
n = - 19
