Answer:
One number is 561
The other number is 23.6854
Step-by-step explanation:
x = y^2 One number = the square of another
x + y^2 = 1122 The sum of the two numbers is 1122
Substitute y^2 in for x on the second equation.
y^2 + y^2 = 1122 Combine like terms on the left
2y^2 = 1122 Divide by 2
y^2 = 1122/2
y^2 = 561 Take the square root of both sides.
y = 23.6854
x = y^2
x = 561
y^2 = 561
Let's re-read the statement and question, and then break it down.
He charges a flat fee of $38, plus $22 per hour.
A flat fee of $38 is only a one-time pay, and will never be paid for again.
This means if after two hours, we only add $38 once overall, never more.
Every hour that goes by, he earns $22 each hour.
Now that we've broken this down, we can make an equation.
Let's do 1 hour.
1(22) + 38 = 22 + 38, = 60.
For 1 hour he earns $60.
Let's do 2 hours.
2(22) + 38 = 44 + 38, = 82.
For 2 hours he earns $82.
Let's do 3 hours.
3(22) + 38 = 66 + 38, = 104.
For 3 hours he earns $104.
Let's do 4 hours.
4(22) + 38 = 88 + 38, = 126.
For 4 hours he earns $126.
This is a pattern.
Now let's do 8 hours, which is the main question, "How much does he make in 8 hours?".
8(22) + 38 = 176 + 38, = 214.
For 8 hours he earns $214.
I hope this helps!
Answer:
5π/6
Step-by-step explanation:
Subtract multiples of 2π until you find the angle in the desired range.
41π/6 -36π/6 = 5π/6
The angle 5π/6 is co-terminal with 41π/6.
Answer:
An example of such number is 1,645,378 ( The value of 6 here is 600,000)
Step-by-step explanation:
Here, we want to compare digits in whole
numbers.
The value of 6 in 165,438 = 60,000
Now, we want a number that is 10 times the value of 6 here
10 times the value of 6 here will be 10 * 60,000 = 600,000
So we want a number which has the value of 6 in it as 600,000
The number in this case as an example can be ;
1,645,378
6 is already a whole number so that stays the same and the decimal given is .25 which is a quarter and which as a fraction can be written as 1/4 so the answer is 6 1/4
