My answer is 1/6. Here's How I worked it out:
11/21 / 22/7 is the same as or = to 11/21 * 7/22 which = 77/462 and then divide both the numerator and denominator by 77 and you get 1/6. (In other words simplify 77/462). Hope this helped :)
If Mike has 15.68 pounds of aluminum, and he wants to take at least 50 pounds of said item, then he would need to collect 34.32 more pounds of aluminum. (50 - 15.68 = 34.32)
The answer to this is 3.083
Step-by-step explanation:
Angle 6 = Angles 2, 4 and 8.
For this question, personally, I would do it algebraically.
So set m to the number of months until they will have the same amount of money. Then you can write an equation matching this scenario, and solve for m as well.
So first, write the side of the equation for Sarah.
She originally had $400, and each month pays $15.
So 400 - 15m for subtracting how much she pays in total, 15m, from her total amount of money, $400.
Now, write the side of the equation for Draius.
He originally had $50, and he gets $20 each month.
So the equation would be 50 + 20m, for how much he gets in total adding to $50.
Now set the two equal.
400 - 15m = 50 + 20m
Now, move all like terms to opposite sides by using opposite operations.
Subtract 50 from both sides:
400 - 50 - 15m = 50 - 50 + 20m
350 - 15m = 20m
Now add 15m to both sides.
350 - 15m + 15m = 20m + 15m
350 = 35m
Divide both sides by 35:
350/35 = 35m/35
m = 10
So Sarah and Darius will have the same amount of money in 10 months.
Now you can plug 10 into the equation to find out how much money they both have.
I'll just plug it in for 400 - 15m:
400 - 15 (10)
= 400 - 150
= 250
And since they'll both have the same amount of money, they'll both have $250.
