The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 m/s what is the distance traveled in 9 seconds?

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: The lengths and widths of the two cell phones are proportional. What is the width, in inches, of the…

A:

Q: The drag force on a boat varies jointly as the wetted surface area and the square of the velocity of…

A: Consider the provided statement. The drag force F on a  boat varies jointly as the wetted surface…

Q: The Light from the sun takes 8 minutes to reach earth. Using the fact that light travels at a speed…

A: Given time taken by light to reach earth from sun = 8 minutes.Speed of light = 186,000 miles per…

Q: the base of a rectangle is increased by 20% and the altitude is decreased by 10% by what percentage…

A:

Q: The shadow cast by an object on a sunny day is directly proportional to the height of the object. If…

A: Given, shadow cast by an object on a sunny day is directly proportional to the height of the object.…

Q: as 6 feet long and proportionally similar to your oth how much do you think the giant squash weighs?

A: Given as, length(feet) 1.5 6 weight(pounds) 2 x

Q: The velocity, v, of a falling object varies directly to the time, t, the object is falling. After 3…

A: Follow the procedure given below.

Q: On a steep mountain road the elevation dropped at the rate of 9 feet per 60 feet. Using signed​…

A: Here we have to find the rate at which the road dropped per

Q: The weight of a person relative to the Earth is inversely proportional to the square of the person’s…

A: According to given information Where W is weight (in pounds) of astronaut, d is distance (in miles)…

Q: A two-inch-long grasshopper can jump a horizontal distance of 40 inches. An athlete, who is five…

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Q: 1. The amount of paint p needed to paint the walls of a room varies directly as the area A of the…

A: Given- The amount of paint p varies as the area Aof the wall and 2 gallons of paint is needed to…

Q: The ratio of 3 nickels to 2 dollars is?

A: 1 dollar=20 nickels So 2 dollar=40 nickels ratio of 3 nickels to 2 dollars is=?

Q: In an electrical circuit, the voltage across a resistor is directly proportional to the current…

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Q: a carousel spins at a rate of 2 miles in 7 minutes what is the speed in miles per hour

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Q: You reduce the radius of a sphere to make a new sphere that has a radius of 2 cm. If the ratio of…

A: It is given that, radius of original sphere is, radius of smaller sphere is, Ratio of volume of…

Q: A boat travels 20 km upstream in a river in the same period of time as it takes to travel 30 km…

A:

Q: to water a lawn adequately, it takes 538 gal of water for every 1000 sq ft. what is the rate in…

A: given : 538 gal of water require for every 1000 sq ft∴ for 1 sq.ft 2381000 gal            ⇒0.538 gal…

Q: The braking distance of a car varies directly as the square of the speed of that car. Assume that a…

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Q: A triangle on the coordinate plane is dilated by a factor of 3.  What is the ratio of the pre-image…

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Q: A pelican flies 26.5 kilometers in 3 hours and 20 minutes. Find the unit rate.

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Q: The radius of the wheel of a car is 15 inches. If the wheel is the rate of 3 revolutions per second,…

A: Given the radius of the wheel of a car is 15 inches and the wheel is turning at the rate of 3…

Q: What is the height of a projectile in 2 seconds if its initial height is 500 ft, and it has a…

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Q: The pitch of a roof is the ratio of the rise to the half-span. If a roof has a rise of 5 feet and a…

A: Given that rise is 5 feet and span is 50 feet .

Q: How far would a person walking for hours at a pace of 3 mph

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Q: A wheel has a radius of 13 inches. To the nearest inch, how far does it travel in 3000 revolutions?

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Q: By increasing her usual speed by 15 kilometers per hour, a bus driver decreases the time on a…

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Q: Your friend has a poster printed from a photograph that is 6 inches wide by 10 inches long. The…

A: Question, 1,Given,          Your friend has a poster printed from a photograph that is 6 inches wide…

Q: The pitch of a roof is the ratio of the rise to the half-span. If a roof has a rise of 32 feet and a…

A: Given: A roof has a rise of 32 feet and a span of 40 feet.

Q: A boat can travel at a speed of 12k/h in still water. If it takes three hours to go 15km upstream…

A: A boat can travel at a speed of 12km/h in still water and it takes 3 hours to go 15km upstream and…

Q: The velocity v of a falling object varies directly to the time, t, of the fall. If after 2 seconds,…

A:

Q: On a given planet, the weight of an object varies directly with the mass of the object. Suppose that…

A: This question can be solved using the concept of proportionality

Q: If hearts are geometrically similar and the volume of blood pumped in one beat is proportional to…

A: Suppose the width of the heart is represented by 1. Then, the volume of the heart will be…

Q: If a hiker travels at an average speed of 2.5 mi/h, how long will it take him to travel from the…

A: Let us rename the triangle as ABC,

Q: If a 1.2-inch long grasshopper can jump 5 feet, how far can a 1.5-inch long grasshopper jump,…

A: In directly proportional relationship, the ratio of two variables is equal to a constant and that…

Q: A model car has a ratio of 1:25 to the actual car. If a model is 5 inches long. how long is the…

A: Solution

Q: If x units are added to the length of the radius of a circle, what is the number of units by which…

A: Given x units are added to the length of radius of circleLets assume that length of radius of a…

Q: The depth of a diver is directly proportional to the time since the diver entered the water. If it…

A: Given that , the depth of diver is directly proportional to the time.

Q: The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?

A:

Q: At a given average speed, the distance traveled by a vehicle varies directly as the time. If a…

A: D= 156 miles T = 3 hours

Q: The volume of a gas is inversely proportional to the pressure. If a pressure of 18 pounds per square…

A:

Q: How long will it take the snail to travel 11 meters will it be more or less the 40 minutes?

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Q: The distance a ball rolls down an inclined plane is directly proportional to the square of the times…

A:

Q: On a given planet, the weight of an object varies directly with the mass of the object. Suppose that…

A: Given that the weight of an object varies directly with the mass of the object. Suppose that an…

Q: a car is traveling at a speed of 65 mi/h. how long does it take to cover a distance of 235 m

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Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

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Q: What is the distance, to the nearest mile, from the origin of the Nile when the riverhas an altitude…

A:

Q: The distance that a body falls from rest is directly proportional to the square of the time of the…

A: Given data: Consider the distance traveled by a body is "y=144 ft", and time is "t". As per the…

Q: Express the rate in lowest terms (in mi/h). 500 mi 124 h mi/h

A: We need to simplify the following expression 500 mi1212h

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.