Let x and y be the angles
X= 3•y-8
X+ y = 180
Substitute first relationship in second
3y-8+y=180
4y=180+8
Y =188/4= 47 degrees
X= 180-47=133 degrees
The measure of the large angle is
133 degrees
5x + 3 = 3x + 11
• first put all the x-values on one side and the rest on the other
Remember: when the number moves to the other side of the equal sign the sign (+ OR - switches. For ex: the 3 on the left becomes negative when moved to the right side of the equal sign)
5x - 3x = 11 - 3
• subtract left and right sides separately
2x = 8
• divide both sides by 2 to solve for x
2x/2 = 8/2
x = 4 (final answer)
A) You want to find t such that
.. C(t) = d
.. d = 20 +60*0.95^t
.. (d -20)/60 = 0.95^t
.. log((d -20)/60) = t*log(0.95)
.. t = log((d -20)/60)/log(0.95) . . . . . . time to cool to d degrees (d > 20)
b) C'(t) = 60*0.95^t*ln(0.95)
.. C'(1) = 60*0.95*ln(0.95) ≈ -2.924 °C/min
Principal, P= 4000
interest = 6%/4 = 0.015 (per quarter)
Number of periods, n = 5*4 =20 quarters
Compound interest formula:
Future value:
to the nearest cent.
Answer:
The length will be multiplied by 2.
Step-by-step explanation:
By looking at the first and third ratio, we know that the no. of birck have been multiplied by 2 and the length has also been multiplied by 2 .
So when the number of bricks is multiplied by 2, the length is multiplied by 2
