Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The chambered nautilus is a deepsea creature with a spiral shell that can withstand pressure up to 1180 pounds per square inch (psi). Underwater pressure consists of atmospheric pressure, which is 14.7psi, plus 0.45psi of hydrostatic pressure per foot of depth under water. To the nearest foot, what is the maximum depth under water at which the shell of a chambered nautilus can withstand the pressure? ◻

The chambered nautilus is a deepsea creature with a spiral shell that can withstand pressure up to 11801180 pounds per square inch (psi\text{psi}). Underwater pressure consists of atmospheric pressure, which is 14.7psi14.7\text{psi}, plus 0.45psi0.45\text{psi} of hydrostatic pressure per foot of depth under water. To the nearest foot, what is the maximum depth under water at which the shell of a chambered nautilus can withstand the pressure?\newline□\square

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Multi-step word problemsright chevron icon

Full solution

Q. The chambered nautilus is a deepsea creature with a spiral shell that can withstand pressure up to 11801180 pounds per square inch (psi\text{psi}). Underwater pressure consists of atmospheric pressure, which is 14.7psi14.7\text{psi}, plus 0.45psi0.45\text{psi} of hydrostatic pressure per foot of depth under water. To the nearest foot, what is the maximum depth under water at which the shell of a chambered nautilus can withstand the pressure?\newline□\square
  1. Calculate Total Pressure: Determine the total pressure the nautilus shell can withstand.\newlineThe nautilus shell can withstand a pressure of 1180 psi1180 \, \text{psi}. This includes the atmospheric pressure.\newlineCalculation: 1180 psi1180 \, \text{psi} (total pressure the shell can withstand)
  2. Subtract Atmospheric Pressure: Subtract the atmospheric pressure from the total pressure to find the pressure that can be withstood due to water depth alone.\newlineThe atmospheric pressure is 14.7 psi14.7\,\text{psi}, which is always present, whether the nautilus is at the surface or underwater.\newlineCalculation: 1180 psi−14.7 psi=1165.3 psi1180\,\text{psi} - 14.7\,\text{psi} = 1165.3\,\text{psi}
  3. Calculate Maximum Depth: Calculate the maximum depth the nautilus can go by dividing the pressure due to water depth by the pressure added per foot of depth.\newlineThe pressure increases by 0.45 psi0.45\,\text{psi} for every foot of depth underwater.\newlineCalculation: 1165.3 psi0.45 psi/foot=2590 feet\frac{1165.3\,\text{psi}}{0.45\,\text{psi/foot}} = 2590\,\text{feet}
  4. Round to Nearest Foot: Round the depth to the nearest foot.\newlineSince we are asked for the depth to the nearest foot, we look at the decimal part of the calculation. If it were 0.50.5 or higher, we would round up, but since it is exactly 25902590 feet, no rounding is necessary.\newlineCalculation: The depth is already an integer value, so no rounding is needed.

More problems from Multi-step word problems

Question
Subtract.\newline(14)−(34)=(\frac{1}{4}) − (\frac{3}{4}) = _____
Get tutor helpright-arrow

Posted 7 months ago

Question
Multiply. 14×(−12)=\frac{1}{4} \times \left(-\frac{1}{2}\right) = _____
Get tutor helpright-arrow

Posted 8 months ago

Question
(7+7)⋅(7+17)=(7+7)\cdot(7+\frac {1}{7})= ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Evaluate.\newline25÷16= \frac{2}{5} \div \frac{1}{6}=
Get tutor helpright-arrow

Posted 8 months ago

Question
Evaluate.\newline12+63= \frac{12+6}{3}=
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify 43\frac{4}{3}
Get tutor helpright-arrow

Posted 6 months ago

Question
21.45221.452 divided by 0.620.62
Get tutor helpright-arrow

Posted 7 months ago

Question
Grace examines two different size bottles of the same laundry detergent. The price for the 100100 ounce bottle is $9.99\$9.99 and the price for the 150150-ounce bottle is $12.99\$12.99. How much money will Grace save per 100100 ounces if she purchases the larger bottle?\newlineChoose 11 answer:\newline(A) $0.01\$0.01\newline(B) $1.33\$1.33\newline(C) $2.00\$2.00\newline(D) $8.66\$8.66
Get tutor helpright-arrow

Posted 8 months ago

Question
Genovia is a city-state with approximately 50,00050,000 citizens. In a recent newspaper poll of the citizens of Genovia, 34\frac{3}{4} of the poll respondents were in favor of establishing a democratic government. If the citizens polled are representative of all citizens of Genovia, approximately how many citizens are in favor of establishing a democratic government?\newlineChoose 11 answer:\newline(A) 12,50012,500\newline(B) 30,00030,000\newline(C) 37,50037,500\newline(D) 45,00045,000
Get tutor helpright-arrow

Posted 7 months ago

Question
What is the slope of the line through (−10,1)(-10,1) and (0,−4)(0,-4)? \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer. \newline_____
Get tutor helpright-arrow

Posted 8 months ago

View all (66)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant