According to Fidelity Investment Vision Magazine, the average weekly allowance of children varies directly as their grade level. In a recent year, the average allowance of a 9th-grade student was 9.66 dollars per week. What was the average weekly allowance of a 7 th-grade student? The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d , from the source of the sound. A person 9 feet from a jetski, it is 100 decibels loud. How loud is the jetski when the person is 50 feet away? Wind resistance is jointly proportional to velocity and surface area of the object. If an object is traveling 57 mph and has a surface area of 5 square feet it will experience a wind resistance of 64.125 Newtons. How fast must an object be moving to experience a wind resistance of 222.075 Newtons if it has a surface area of 21 square feet?

Q: A rocket is 4 miles above the earth in 10 minutes and 8 miles above the earth in 15 minutes What is…

A: Given: A rocket is 4 miles above the earth in 10 minutes and 8 miles above the earth in 15 minutes.

Q: You have your ear against a new speaker when it emits a sounds with an intensity of 160 decibels

A: 1)Sounds below 70db don't cause any hearing damage.   2) Beyond 70db sounds isn't good for your ears…

Q: Water flows out of a hose at a rate of 6 gallons per minute. A pool is 22 feet by 38 feet by 6 feet.…

A: Given: A pool is 22 feet by 38 feet by 6 feet. Water flows out of hose at a rate of 6 gallons per…

Q: At a gas station, gas costs $1.35/L. What is the rate of change?

A: Consider the given information. The gas cost is $1.35/L. This implies that the cost of 1-liter gas…

Q: How long a tape does a police officer need to record a 2 minute video confession at an operating…

A:

Q: A rock concert was measured to be 6.9 x 10-6 watts/cm2. Find the number of decibels for the power of…

A: Given The given intensities of the sound is 6.9×10-6 watts/cm2. Apply formula For decibel level…

Q: A boy started one hour and twenty minutes earlier than a man. If the man travels at 6 kph faster…

A: Here we have to use the formula of speed. Speed=distance time

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Find the base where area and altitude is already given, then the formula of the area of a triangle…

Q: If Ahmet travels half of the road at 90 km/h in 1 hour and the remaining half at 60 km/h, his…

A:

Q: The mass of a spherical solid is inversely proportional as its density and the cube of its…

A:

Q: The total body surface area, or BSA, of a human is difficult to calculate. There are various models…

A:

Q: The 2010 Haiti Earthquake had a magnitude of 7.0. The 2011 Japan Earthquake had a magnitude of 9.0.…

A: The formula is M2 - M1 = log{A2 /A1 } M1 = 7 M2 = 9 Hence  9-7=2=log{A2 /A1 }

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A: INTRODUCTION: The total area that is bounded by a triangle's three sides is referred to as the…

Q: A rock concert was measured to be 8.1 x 10-6 watta/cm2. Find the number of decibels for the power of…

A: A rock concert was measured to be 8.1 x 10-6 watta/cm2.

Q: The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the…

A:

Q: If human toenail grows at an average rate of about 0.13 inch a month.   1 year has 12 months. 1…

A: Given, Growth of human to nail =0.13 inch/month 1 year has 12 months. 1 inch is equal to 2.54 cm.…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.