If my height in 72 inches and the instructor’s height of 66 inches to find the ratio of your height to the instructor’s height

Q: If a plane travels 350 mph for 1.5 hr find the distance traveled.

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

A:

Q: When 4 is added to two numbers, the ratio is 5:6. When 4 is subtracted from the two numbers, the…

A: Let the numbers are x and y.When 4 is added to two numbers, the ratio is 5:6.That can be written…

Q: When looking at two buildings at the same time, the length of the buildings’ shadows varies directly…

A: Let us solve the given question in the next step.

Q: What is the overall gear ratio when the transmission is in first gear which has a ratio of 2.5:1 and…

A:

Q: About 102 baby boys are born for every 100 baby girls. Write this as a simplified ratio of males to…

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Q: The ratio of expenditure and savings is 2:15 if the salary is $68000. find the expenditure and…

A:

Q: The price of an item is increased by 80% and then offered at 30% discount. What happened to the…

A: Suppose price of an item be $x and after increasing , price will be $y then increased percentage…

Q: Your friend has two oak trees in his backyard. The shorter one is 33 feet tall, and the taller one…

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Q: The ratio of the number of pencils to the number of erasers in a box was 3:4 After adding 12 pencils…

A: Given : Intially ratio of pencil to eraser in a box = 3:4 After adding 12 pencils and removing 15…

Q: What is the selling price of an item with $100 cost and a mark-up equal to 35% of the selling price

A: Given: Cost price is $100 Let the selling price be $x Then according to question  Mark up =35% of…

Q: In your own words, explain how to solve a variation problem.

A: Write the general equation of the form y=kx where y is the output of the solution , k is the…

Q: The coefficient of determination says that % of the variation of the length of a woman's foot can be…

A:

Q: If a car travels 199.2 miles in 6 hours, what is it’s average rate of speed to the nearest tenth of…

A: To determine the average rate of speed.

Q: The ratio of men to women working for a company is 8 to 5 if there

A: We have to solve the equation.

Q: If 1/4 inch represents 5 yards, the number of inches to show a football field 100 yards long is :

A: Here we will use the triangular multiplication method for calculating the square inches required for…

Q: In your own words, explain how to solve a variation problem

A: Consider a simple variation problem: If y is directly as x, and y=4 when x=2, then find y when x=6.…

Q: Find two consecutive even numbers such that the sum of one-sixth the larger number and one-fourth…

A: Consider these two numbers are x and x+2

Q: if an item is reduced by 65% and the original cost was $40 what is the cost now

A: Given: An is reduced by 65% Original cost is $40 We have to find current cost.

Q: rice costs $1.05 per kilogram, determine the cost of a pound of rice

A: As we know, One pound = 0.45 kg (round to two decimal places)

Q: The ratio of the present ages of Eli and Bright is 2 : 9. Four years ago, the sum of their ages was…

A: the given problem is age based .... solution of the given problem is.....

Q: If each side of the square is increased by 25 % find the percentage change in its area

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Q: Of a family's $815 weekly income, $125 usually goes toward groceries. What is the ratio of the…

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Q: A man drove 16 miles directly east from his home, made a left turn at an intersection and then…

A:

Q: If a train travels from one city to another in 46 minutes. If the distance betweentwo cities is 59.8…

A: Given: Time taken by train to travel 59.8 miles is 46 minutes. Find the average rate of train in…

Q: *Use the equation to determine the rental revenue for a theater revenus of 125 million.

A: To determine the given equation of the line and to determine the rental revenue for theater revenue…

Q: Write down the difference equation for a population with 100 births and 200 deaths per 1000…

A:

Q: The Volume of a cube is in direct variation with the side length cubed.  If the side length of a…

A:

Q: Find the number that makes the ratio equivalent to 1:5

A: We have to find the number that makes the ratio equivalent to 1:5

Q: Find the original price of a pair of shoes if the sale price is $30 after a 50% discount

A: Sale price is $30 after 50% discount.

Q: A pennant flag that is 2 inches high with a base of 1.5 inches has an area of 1.5 square inches. The…

A: Explanation of the answer is as follows

Q: The ratio of incomes of two persons is 9:7 and the ratio of their expendituresis 4: 3 If each of…

A:

Q: A new born baby has 270 bones and an adult has 206 bones. Find the ratio of bones in an adult to…

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Q: The sum of first seven terms of an AP is 182 . If its 4 th and 7th terms are in the ratio 1:5 , Find…

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Q: Find the ratio of the second number to the first number. 1. 3 and 9 2. -10 and -100 3. 1 and 3

A: Find the ratio of the second number to the first number. 1. 3 and 9 2. -10 and -100 3. 1 and 3

Q: The sum of 25% of 32 and 40 % of 15 is what percent of 35?

A: Solution:

Q: Just as a light-year is the distance that light can travel in 1 year, a light-week is the distance…

A:

Q: The ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4: 3 If each of…

A: We can solve it using the algorithm of income and expenditure as below

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: The sum of first seven terms of an AP is 182 . If its 4 th and 17th terms are in the ratio 1:5 ,…

A:

Q: The ratio of wins to losses for a football team is 3/1 . If the team played 20 games, how many wins…

A: Given data is : The ratio of a win to losses is 31 The total game played is 20. To find the number…

Q: What is x divided by 0?

A: Any number divided by 0 results in undefined value i.e. ∞

Q: If Jill jogs 2miles in 15 minutes how long will and take her to job 9 mi at the same rate

A: It takes 15 minutes to jog 2 miles.

Q: The ratio of pears to green apples is 1:3 if there are 150 green apples how many pears are there

A:

Q: The ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4:3 .if each of…

A: Let the income of the first person is 9x and the income of the second person is 7x. Next, the…

Q: Find the ratio of the width of this basketball court to its perimeter. 34 feet (width) 104 feet…

A:

Q: When a plance flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

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Q: Suppose one click of the zoom-out button results in a 10 percent decrease in the size of the…

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Q: Find the ratio of 1200 seconds to 7 hours

A: Given, find the ratio of 1200 seconds to 7 hours?

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.