Because percentage is the numerator divided by the denominator of a fraction times one-hundred, we can set up this equation:
![\frac{33}{x} =0.55](https://tex.z-dn.net/?f=%20%5Cfrac%7B33%7D%7Bx%7D%20%3D0.55)
Now, we cross multiply.
![33= 0.55x](https://tex.z-dn.net/?f=33%3D%200.55x)
Next, we divide both sides by 0.55 to get x by itself.
x = 60
So, 33 is 55% of 60.
40% of $300
REMEMBER: "of" is multiplication.
You convert 40% to decimal.
40% =40/100
Move the decimal two places to the left since 40 is divided by 100.
So, it's 0.4.
0.4 multiply by 300 is 120.
40% of $300 is 120.
A=a+b+c+d/4
subtract a from both sides
0=b+c+d/4
Subtract b from both sides
-b=c+d/4
Finally subtract d/4 from both sides
c=-d/4-b
Answer:
a. x = 24
b. x = 40
Step-by-step explanation:
a.
You are given a right triangle, so use the Pythagorean theorem
a^2 + b^2 = c^2
x^2 + 18^2 = 30^2
x^2 + 324 = 900
x^2 = 576
x = 24
b.
The sum of the measures of all angles is 360 degrees.
x + 2x + 2x + 20 + 3x + 20 = 360
8x + 40 = 360
8x = 320
x = 40