Step-by-step explanation:
- 2x-2y=-6
3x+4y=8
multiply equation (1) by 3 and equation (2) by 2
- 6x-6y=18
6x+8y=16
Add
2y=34
y= 34÷2
y=17
substitute 17 for y in equation (2)
3x+4y=8
3x+4(17)=8
3x+68=8
3x=8-68
3x=-60
x=-60÷3
x=-20
x=-20,y=17
The answer is c 10 #s are greater than 110
Answer: seven hundred thousand
Hat means y + z = 180.
<span>y is thrice than z means y = 3 * z. </span>
<span>replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. </span>
<span>combine like terms to get 4 * z = 180. </span>
<span>solve for z to get z = 180 / 4 = 45 degrees. </span>
<span>since y = 3 * z, then y = 3 * 45 = 135 degrees. </span>
y = 135
<span>z = 45 </span>
y + z = 180 becomes 135 + 45 = 180
<span>y = 3 * z = 135 = 3 *45 </span>
<span>solution is confirmed to be good.</span>
Answer:
0.093 ft/min
Step-by-step explanation:
V = 4/3 π r³
Take derivative with respect to time:
dV/dt = 4π r² dr/dt
Plug in values:
141 = 4π (11)² dr/dt
dr/dt = 141 / (484π)
dr/dt ≈ 0.093
The radius is increasing at 0.093 ft/min.
