Answer:
The prime factorization of 240, with exponents, is 24 × 3 × 5.
Answer:
x = 60°
Step-by-step explanation:
All the angles in a triangle add up to 180°. So, you have this equation.
87° + 33° + x = 180°
120° + x = 180°
x = 60°
The measure of angle x is 60°.
Hope that helps.
Answer: 0.0336
Step-by-step explanation:
Given : The distribution of cholesterol levels in teenage boys is approximately normal with mean :
Standard deviation : 
The formula for z-score is given by :-
For x=225
The p-value =
The probability that a teenage boy has a cholesterol level greater than 225 =0.0336
1) 4x + 2 = 1/2x + 17
2) 4x - 1/2x = 17 - 2
3) 3.5x = 15
4) (3.5x)/3.5 = 15/ 3.5
5) x = 4.29 (rounded)
Let's get the same terms on the same side.
I am going to remove 5x from both sides of the equation by subtracting 5x
5x - 5x<span> -7 = 7x -</span>5x<span> - 17</span>
-7 = 2x - 17 now lets remove the 17 from both sides
-7 + 17 = 2x (why do we add 17? Think of 2x -17 as 2x + -17. Tor remove a negative number we add it.
Now we finally have 10=2x and if we divide both sides by 2
<u>10</u><span> = </span><u>2x</u><u>
</u>2 2 we get that x = 5
<u />Let's check by substituting 5 in the original equation:
5(5) - 7 = 7(5) - 17
25 - 7 = 35 - 17
<span>18 = 18</span>
