Answer:
irrational
Step-by-step explanation:
Use the Pythagorean theorem.
5² + 6² = c²
25 + 36 = c²
c² = 61
7² = 49
6² = 64
61 is between 7² and 8², so it is not rational.
Answer:
$9450
Step-by-step explanation:
We will use compound interest formula:

Where
F is future amount [what we want to figure out]
P is present amount [9000]
r is rate of interest [since we want for 6 months, the annual interest divided by 2 is r. So r = 10/2 = 5% or 0.05]
t is the time [ the time period is for 6 months so t = 1 since we already converted the interest rate to 6 month chunk]
Putting in formula, we get:

Answer:
1 inch
Step-by-step explanation:
Factors of 63 are 7 and 9, each of which is 2 more than the dimensions of the photo. Sarah's frame is 1 inch wide.
_____
A 1-inch wide frame adds 2 inches to length and width.
_____
<em>Solution using an equation</em>
If you let w represent the width of the frame, the area of the framed photo is ...
(5+2w)(7+2w) = 63
4w^2 +24w -28 = 0 . . . . write in standard form
w^2 +6w -7 = 0 . . . . . . . . divide by 4
(w -1)(w +7) = 0 . . . . . . . . factor
The positive solution to this equation is w=1.
The width of the frame is 1 inch.
I think it's not the same.
8 divided by 10 = 1.25
<span>25 divided by 30 is = 1.2</span>
Answer:
Lucinda can't do either since she only has 9 ounces
Step-by-step explanation:
Lucinda needs more than 9 ounces to do a bath of cupcakes and a batch of muffins.