Answer:
10 hours lifeguarding, 6 hours tutoring
Step-by-step explanation:
As you know how long he worked and how much he earned, it's worth seeing how many hours it would have been had he worked just tutoring or just lifeguarding.
$242 / 11 = 22 hours if it was just lifeguarding
$242 / 22 = 11 hours (as it's exactly double the wage) if it was just tutoring
We now know that he worked some combination of both
Calculating his average wage can help work out which he worked more of:
$242 / 16 = 15.125
That means Parker's average hourly wage was 15.125 which is closer to 11 than 22 (16.50 would mean an exactly even split between the two) so he did more hours lifeguarding than tutoring so more than 8 hours.
What I then do is consider the variations that could work:
9 (lifeguarding) and 7 (tutoring) = 99 + 154 = 243
So we're almost exactly there straight away, but not quite so...
10 and 6 = 110 + 132 = 242
There you have it.
Answer:
See explanation below to use the vertex form to solve a quadratic equation.
Step-by-step explanation:
(x - h)^2 - k = 0, the vertex is (h, -k)
An example below, taking a quadratic equation and completing the square:
x^2 - 2x - 1 = 0
x^2 - 2x = 1
(-2/-2)^2 = 1, add 1 to both sides of the equation.
x^2 - 2x + 1 = 1 + 1
(x - 1)^2 = 2
(x - 1)^2 - 2 = 0
The vertex is (1, -2)
Answer:
y=-4/3 + 11
Step-by-step explanation:
1. Find the slope
<u>3-(-1) </u>
-6-(-3)
slope= -4/3
2. Point slope form
y-3=-4/3(x+6)
y-3=-4/3x + 8
y=-4/3x+11
Answer: $18.20
Step-by-step explanation:
First, turn the % into a 100.
= 20/100
Or just move the decimal two times to the right.
= .20
Next, multiply .20 × 91
= 18.2
To make it more accurate with money..
= $18.20
Hopefully this helps ♀