Answer:
$16.54
Step-by-step explanation:
First step we need to do is to find the bill without the 15% tips:
95.11 = 1.15x
x = $82.70 is the original bill
Now we can add the 20% tips and multiply it into the original:
82.70 x 1.2 = $99.24 is the new bill
To find out how much you tipped:
99.24 - 82.7 = $16.54 is your new tip
There are many ways to solve this problem. All you have to do is simple algebraic manipulation. Solve for b and h with the two simpler equations:
2b = 12; divide 2 on both sides to get b = 6
h - x = 2; add x to both sides to get h = (2 + x)
Plug this stuff into the first equation to solve for x. Once we solve for x, we can plug that x value into the equation for h. Because you can see we didn’t get an actual numerical value for h. So:
x + (2+x) + 6 = 14
Subtract 6 from both sides and distribute that plus sign to get rid of the parenthesis. Then combine the like terms to get:
2x + 2 = 8
Subtract 2 from both sides and divide by 2 to get x = 3
Finally plug it into the equation for h:
h = 2+3 = 5
Answer: C) 6.0025
Step-by-step explanation:
The equation for the area of a circle requires the radius, you put in the full diameter. Just divide 4.9 by 2, which gives you 2.45. 2.45 squared is equal to 6.0025 and then slap your pi on to the end of it.
