Let x be the earnings/hour at the movie theater.
y be the earnings/hour at the pet store
Systems of equations:
$152.50 = 10x + 8y
$171 = 8x + 10y
Solving for x and y:
x = $4.36/ hour in the movie theater
y = $13.61/ hour in the pet store.<span />
Answer
Find out the m∠p .
To prove
As in ΔDAB is a right triangle
Apply pythagorean theorem
Hypotenuse ² = Perpendicular ² + Base²
DB² = AB² + AD²
AB = 5 units
AD = 6 units
Put in the above formula
DB² = 5² + 6²
= 25 + 36
= 61

= 7.8 units (approx)
Now in ΔDCB is a right triangle .
By using the trignometric identity .


As DC = 4 units
DB = 7.8 units (approx)
Put all the values in the trignometric identity .


∠p = 59.15 ° (approx)
There are 54 muffins in the basket al you have to do is multiply the 60 by the added percentages which is .9 and you get the answer of 54
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.
Answer: Third option.
Please, see the detailed solution in the attache file.
Thanks