Step-by-step explanation:
a.
Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h
To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29
29 - 2t = h
b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0
29-2t = h = 0
t=14.5
Therefore, anything between 0 and 14.5 minutes makes sense
c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount
Answer:
57
Step-by-step explanation:
It is given in the question that length CDA = 57.
Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.
CDA = CD + AD
BCD = BC + CD
Since BC=AD and CD=CD
BCD = BC + CD is the same as CD + AD = CDA
Therefore BCD is the same length as CDA = 57
In other words, CDA is made up of a long side and a short side = 57
BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.
Hope this helped!
Answer:
The slope is 0
Step-by-step explanation:
y1 - y2 over x1 - x2 gives you solpe
2 - 2 over 3 - (-1)
2-2 = 0
3 - (-1) = 4
0/4 is 0
The ratio of vowels to constants
Hello from MrBillDoesMath!
Answer:
w = 5
Discussion:
48 = 2 (2w) + (4 + 2w)2 =>
48 = 4w + 4*2 + (2w)*2 =>
48 = 4w + 8 + 4w => as 4w + 4w = 8w
48 = 8w + 8 => subtracting 8 from each side
48 - 8 = 8w => divide both sides by 8
(48 -8 )/8 = w =>
40/8 = w =>
w = 5 =>
Check: 2(10) + ( 4 + 2*5)*2 = 20 + 14*2 = 20 + 28 = 48
Thank you,
MrB