1/3 can be written as 33.33333333333% as well as other forms so the answer is 1/3
Answer:
The data that we have is:
"Adrian's backyard pool contains 6.4 gallons of water. Adrian will begin filling his pool at a rate of 4.1 gallons per second."
Then we can write the amount of water in Adrian's pool as a linear function:
A(t) = 6.4gal + (4.1gal/s)*t
Where t is our variable and represents time in seconds.
We also know that:
"Dale's backyard pool contains 66.4 gallons of water. Dale will begin draining his pool at a rate of 0.9 gallons per second. "
We can also model this with a linear function:
D(t) = 66.4 gal + (0.9gal/s)*t
Both pools will have the same amount of water when:
D(t) = A(t)
So we can find the value of t:
6.4gal + (4.1gal/s)*t = 66.4 gal + (0.9gal/s)*t
(4.1gal/s)*t - (0.9gal/s)*t = 66.4gal - 6.4gal
(3.2gal/s)*t = 60gal
t = 60gal/(3.2gal/s) = 18.75s
In 18.75 seconds both pools will have the same amount of water.
Answer:
value of the equation will be 87
Step-by-step explanation:
by putting value of n as 7 in given equation
we will get,
(6×7) + 45 = 42 + 45 = 87
Answer: The slope is -3/2
Step-by-step explanation:
To find the slope, find the difference in the y coordinates and divide it by the difference in the x coordinates.
y coordinates; 9 - 15 = -6
x coordinates : 8 - 4 = 4
Slope: -6/4 = -3/2
Answer:
7. 75.36 inches
8. 21 inches
9. 13 inches
Step-by-step explanation:
7. <em>Circumference = π × d</em>
The diameter would be two times the radius, or 2 × 12 = 24. So, circumference would be 3.14 × 24 = 75.36 inches.
8. <em>Circumference = π × d</em>
If we move variables around, <em>d = Circumference / π</em>
So, d = 65.94 / 3.14 = 21 inches.
9. To do this, let's figure out the diameter: <em>d = Circumference / π</em>
d = 81.64 / 3.14 = 26. Now the diameter is two times the radius, so to get the length of the radius, we must divide the diameter in half. 26 / 2 = 13 inches.