18/12=22.50/n
he could buy 15 gallons
Answer:
x = 9.6
Step-by-step explanation:
Before we can figure out what x is, we need to figure out what the unlabeled side is. To figure that out, multiply the hypotenuse (12) by the sine of the angle labeled (34)
12 * sin(34)
<em>sin(34) equals 0.559192903470747; I'll round it to 0.6 for convenience.</em>
12 * 0.6
<em>Now simply multiply 12 by 0.6 to get 7.2.</em>
The unlabeled side is approx. 7.2 units long.
Now we know what the unlabeled side is. Now, to find x, find the square root of 12 squared minus 7.2 squared.
x = √12² - 7.2²
<em>12 squared is 144; 7.2 squared is 51.84.</em>
x = √144 - 51.84
<em>Subtract 51.84 from 144 to get 92.16.</em>
x = √92.16
<em>The square root of 92.16 is 9.6 (on the spot!).</em>
x equals 9.6.
Money spent + money left over = total money
money spent + 9 = 30
We don't know the price of each shirt, so let x = price of 1 shirt.
Then, 3 shirts cost 3 times as much as x, or 3x.
She spent 3x.
3x + 9 = 30
The increase is $5000-$4000=$1000. The ratio of this increase to the original price is
$1000
-------- = 1/4 (no units of measurement here)
$4000
