Q49. Find the depth at which the came... [FREE SOLUTION]

91影视

Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset 91影视 Explanations$ Math

Common Core Edition 路 183 pages

ISBN: 9780547587776

Chapter 3: Q49. (page 146)

Find the depth at which the camera can be used when An underwater camera can withstand pressures up to $1500$ pounds per square inch. The formula $P = 14.7 + 0.45 d$ can be used to find the pressure P (in pounds per square inch) at depth d (in feet) underwater.

Short Answer

Expert verified

The depth at which the camera can be used is $3300.6$ feet.

Step by step solution

Step -1 - Apply the concept of Linearequation

In this type of question, Simply use the property of addition or subtraction of suitable number on both Left Hand Side & Right Hand Sideto maintain the equation and also the variable & numbers should be at the different sides in the equation.

Step -2 – Find the absolute equation to get the value of d .

Since, the given equation is $P = 14.7 + 0.45 d$ .

The total pressure that a camera handle = $1500$ pounds = P

Now, The equation becomes,

$\begin{array}{l} P = 14.7 + 0.45 d \\ 1500 = 14.7 + 0.45 d \end{array}$

Step -3 – Finding the value of d.

Since, the equation is $1500 = 14.7 + 0.45 d$

On solving this subtract $14.7$ on both side of the equation and then dividing $0.45$ to both side of the equation,

$\begin{array}{l} P = 14.7 + 0.45 d [originalequation] \\ 1500 = 14.7 + 0.45 d [put1500for P] \\ 1500 鈭� 14.7 = 14.74 鈭� 14.7 + 0.45 d [subtract14.7onthebothside] \\ 1485.3 = 0.45 d \\ \frac{1485.3}{0.45} = \frac{0.45 d}{0.45} [dividing] \\ 3300.6 = d \end{array}$

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91影视

Find the depth at which the camera can be used when An underwater camera can withstand pressures up to $1500$ pounds per square inch. The formula $P = 14.7 + 0.45 d$ can be used to find the pressure P (in pounds per square inch) at depth d (in feet) underwater.

Short Answer

Step by step solution

Step -1 - Apply the concept of Linearequation

Step -2 – Find the absolute equation to get the value of d .

Step -3 – Finding the value of d.

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91影视

Find the depth at which the camera can be used when An underwater camera can withstand pressures up to 1500 pounds per square inch. The formula P=14.7+0.45d can be used to find the pressure P (in pounds per square inch) at depth d (in feet) underwater.

Short Answer

Step by step solution

Step -1 - Apply the concept of Linearequation

Step -2 – Find the absolute equation to get the value of d .

Step -3 – Finding the value of d.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Decision Maths

Pure Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Find the depth at which the camera can be used when An underwater camera can withstand pressures up to $1500$ pounds per square inch. The formula $P = 14.7 + 0.45 d$ can be used to find the pressure P (in pounds per square inch) at depth d (in feet) underwater.