In certain deep parts of oceans, the pressure of sea water, in pounds per square foot, at a depth of d feet below the surface, is given by P=16+7d/11
If a scientific team uses special equipment to measures the pressure under water and finds it to be 646 pounds per square foot, at what depth in feet is the team making their measurements?
646 = 16 + 7d/11
Subtract 16 from both sides, then multiply both sides by 11/7.
Thank you
Well, let's solve this equation and find out at what depth the scientific team is swimming in humorously high-pressure waters!
Given that P = 16 + (7d/11), and we know that P = 646 pounds per square foot, we can substitute this value into the equation:
646 = 16 + (7d/11)
To figure out d, we'll start by subtracting 16 from both sides:
646 - 16 = 7d/11
630 = 7d/11
Now we can multiply both sides by 11 to isolate d:
11 * 630 = 7d
Diving into some math, we have:
6,930 = 7d
Finally, we divide both sides by 7:
d = 990
So, at a depth of 990 feet, this scientific team is courageously measuring the humorously intense pressure of 646 pounds per square foot underwater. That's deep, and quite impressive!
To find the depth at which the team is making their measurements, we need to substitute the given pressure value into the equation and solve for d.
The equation to relate the pressure and depth is given as:
P = 16 + (7d/11)
We are given a pressure value of 646 pounds per square feet, so we can substitute P = 646 into the equation:
646 = 16 + (7d/11)
To solve for d, we first need to isolate the term with d.
Subtract 16 from both sides of the equation:
646 - 16 = 7d/11
630 = 7d/11
To eliminate the fraction, we can multiply both sides of the equation by 11:
11(630) = 7d
6930 = 7d
Finally, divide both sides of the equation by 7 to solve for d:
d = 6930 / 7
d ≈ 990
Therefore, the scientific team is making their measurements at a depth of approximately 990 feet below the surface.