Answer:
In 10 seconds, the garden hose will emit 15 quarts of water.
Step-by-step explanation:
The amount of water emitted by the garden hose over time can be expressed as a ratio: 9/6, or 9 quarts of water for every 6 seconds of time. We can then simplify this ratio to 3/2, or 3 quarts of water for every 2 seconds of time. Since the ratio will remain constant, or the same, over time, we can set up an equivalent ratio, or fraction to find the amount of water emitted in 10 seconds: 3/2 = x/10. We look at the denominators and see that 2 x 5 = 10. In order to make the ratios equivalent, we would also multiply the numerator by 5: 3 x 5 = 15, which gives us the amount of water emitted in 10 seconds.
The situation that is defined by the linear equation P = 40 + 22t is "The initial amount is 40 and the rate of change is 22".
<h3>What is a linear equation?</h3>
Given:
P = 40 + 22t
where,
- P = total price
- 40 = initial amount
- 22 = rate of change
- t = number of rate of change
So,
if t = 3
P = 40 + 22t
= 40 + 22(3)
= 40 + 66
P = 106
Therefore, the initial amount is 40 and the rate of change is 22 describes the linear equation P = 40 + 22t
Learn more about linear equation:
brainly.com/question/14323743
Answer:
d = 13.8 feet
Step-by-step explanation:
Because we are talking about cubic feet of water, we need the formula for the VOLUME of a cylinder. That formula is
We will use 3.141592654 for pi; if the tank HALF filled with water is at 20 feet, then the height of the tank is 40 feet, so h = 40; and the volume it can hold in total is 6000 cubic feet. Filling in then gives us:
Simplify on the right to get
Divide both sides by 125.6637061 to get that
Taking the square root of both sides gives you
r = 6.90988299
But the diameter is twice the radius, so multiply that r value by 2 to get that the diameter to the nearest tenth of a foot is 13.8
Answer:
$900
Step-by-step explanation:
Use the formula for simple interest: i = p r t, where i is the interest earned, p is the principal amount, r is the interest rate as a decimal fraction, and t is the time in years.
Here, i = $27 = p(0.015)(2), or
$27 = 0.03p
Dividing both sides by 0.03, we get:
p = $27 / 0.03 = $900
The principal, in this situation, was $900.
