Let the number of hours Paul needs to work = h.
You need to multiply Paul's hourly rate by the number of hours (h) to either be equal to or greater than what Alan makes:
The equation would be:
8.25h ≥ 363
To Solve divide both sides by 8.25
h ≥ 363 / 8.25
h ≥ 44
Paul needs to work at least 44 hours
Let's put this into only hours to make it simple.
Multiply 7 and 4 by 24.
7x24 = 168
4x24 = 96
Now that we have the total hours of days, add the extra hours to the total hours of days,
168 + 4 = 172
96 + 7 = 103
Subtract the two totals.
172-103 = 69.
There are 69 total hours left. Now we need to convert that into days and hours, so divide 69 by 24.
69/24 = 2.875, or 2 days.
We have 2 days, which is 48 hours.
Subtract 48 from 69.
69 - 48 = 21. We have 21 hours.
Our difference is 2 days and 21 hours. I hope this helps!
The easiest way to do this is to pick your prime numbers and multiply them to get the composite number.
13* 5*5*5 *2*2= 6500
Final answer: 6500
Answer: 40°
<u>Step-by-step explanation:</u>
There are 4 pink angles (labeled as "a") and each are the same measure.
There are 4 green angles (labeled as "b") and each measure 50°.
A circle is 360°
4a + 4b = 360
4a + 4(50) = 360
4a + 200 = 360
4a = 160
a = 40
Answer:
Step-by-step explanation:
Let the function be:
f(x, y) = 2(y^2) - x^2 = 8
Since the shortest distance is basically a straight line from point (3, 0) to
f(3, y).
2y^2 - 3^2 = 8
2y^2 = 17
y = sqrt(17/2)
So the nearest point on the planes course to the point (3,0) is (3, sqrt(17/2))
Now lets use the distance formula:
x1 = 3
y1 = 0
x2 = 3
y2 = sqrt(17/2)
So m in this case is just 17/2 and the square root of m is sqrt(17/2) = 2.91547594742