X = 1 hr lessons and y = 1/2 hr lessons
x + y = 35......y = 35 - x
40x + 25y = 1115
40x + 25(35 - x) = 1115
40x + 875 - 25x = 1115
40x - 25x = 1115 - 875
15x = 240
x = 240/15
x = 16 <=== there are 16 one-hr lessons
and 19 half-hr lessons
I'm assuming a quarter-circle is exactly 1/4 of a circle. Thus if you have 4 congruent quarter-circles, that should mean they make a complete circle.
If that is the case, then we can find the area of the full circle using pi*r^2.
So the area of the circle is 5^2*pi or 25pi.
To find the area of the shaded region, we subtract the area of the circle from the area of the square.
The area of the square is 10^2 or 100.
So the area of the shaded region is 100 - 25pi.
My calculator says that equals roughly 21.46
Answer:
42
Step-by-step explanation:
We use (BODMAS) :
Brackets
Order/Index
Division
Multiplication
Addition
Subtraction
Now we do bracket first :
7(3²) = 7(9) = 63
Now we do division :
63÷3 = 21
Now we do multiplication :
2 × 21 = 42
Hope this helped and have a good day
3:4......added = 7
3/7(35) = 105/7 = 15 oz water
4/7(35) = 140/7 = 20 oz tomato paste <==
An additive inverse is the value you can add to a given value such that the sum is "0"..
Your answer is choice A
18xy + (-18xy) = 0 Since these are like terms.. the key here is understanding that like terms must have the same exact variables raised to the exact same powers. We can add like terms. We cannot add unlike terms.