The expression is equivalent to 49/8.
Since 52% is the same as 52/100, we can multiply 875 by 52/100 in order to find the green buttons.
52/100(875) = 455
455 green marbles
Let's call the 13¢ stamps a and the 18¢ stamps b:
a+b = 42 and therefore a= 42-b (formula 1)
0.13a+0.18b= 6.66 In this formula, substitute the value of a according to formula 1:
0.13(42-b)+0.18b= 6.66 Multiply on the left to get rid of the parenthesis:
5.46-0.13b+0.18b= 6.66 Subtract 5.46 from both sides:
-0.13b+0.18b= 1.20 Add on the left:
0.05b= 1.20 Divide both sides by 0.05
b= 24 You have 24 18¢ stamps and:
42-24= 18 13¢ stamps
Check: (24 x 0.18) + (18 x 0.13)= 6.66 Correct.
Sin(2x)-sin(4x)=0
-2cos(3x)sin(x)=0
x=pi/6+2kpi/3
x=pi/2+2kpi/3, k=no solution
x=2kpi
x=pi+2kpi
Answer:
A
Step-by-step explanation:
Our angle is -312 degrees, but because angles on the unit circle are always periodic and repeat every 2π or 360°, that means if we add a certain multiple of 360 to -312, we should get an angle with the terminal side pointing in the same direction.
Let's add 360 to -312:
-312 + 360 = 48°
Thus, the answer is A.
