Answer:
Step-by-step explanation:
1. 12a = 4
12a/12 = 4/12
a = 1/3
2. 2c = 7(8/7)
2c = 8
c = 4
3. 5h = 6(-3/8)
5h = -18/8
5h = -9/4
20h = -9
h = -9/20
4. -27m = -4
m = 4/27
5. -42p = 21
p = -21/24 = -1/2
6. -7x = 4/7
x = -4
7. 9n = -40/9
n = -40
8. 15g = -24
g = -24/15 = -8/5
9. 4s = 56
s = 14
10 -5t = -9(2/3)
-5t = -6
t = 6/5
Answer:
Yes, the constant of proportionality is the same for the three rows.
The relationship between amount of water (W) in terms of time (t) can be written as:
W = 16.5 t
Step-by-step explanation:
To find the constant of proportionality, find the number of gallons per minute for each row:
First row: 16.5 gal in 1 minute means: 16.5 Gal/min
Second row: 24.75 gallons in 1.5 minutes means 24.75/1.5 = 16.6 Gal/min (same proportionality as above)
Third row: 33 gallons in 2 minutes means: 33/2 = 16.5 Gal/min (again same proportionality)
Then: Yes, the constant of proportionality is the same for the three rows.
Therefore the amount (W) of water in gallons per time (t) in minutes can be written as the product of 16.5 times time (t):
W = 16.5 t
You multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get 3x^2y
So we can calculate the front porch area by multiplying the sides
(5 ft)(8 ft)=40 ft^2
By doubling the dimensions it could mean one of two things
1. (40 ft^2) * 2 = 80 ft^2 [doubling area]
2. (5*2)(8*2) = 160 ft^2 [doubling dimensions of each side]
