5A) An ant colony of 50 ants doubles in number every 3 months. Write an equatior the size of the colony if x is the number of months. How many ants will there be in 7 months?

Q: A frog is at the bottom of a 21-foot well. Each time the frog leaps, it moves up 3 feet. If the frog…

A: Consider the upward direction as positive and the downward direction as negative. Thus, any distance…

Q: 2. A train traveling at 30 miles per hour reaches a tunnel which is nine times as long as the train.…

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Q: (2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 41. An 84-cm wire is cut into three pieces. The second piece is 4 cm longer than the frst piece and…

A: According to the given information, draw the figure. Length of side AB = 84 cm.

Q: 5. A rectangular field's length is three times its width. If the perimeter is 480 feet, what are the…

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Q: Assume that the golfer makes 75 percent of putts when they are less than 10 feet and 30 percent of…

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Q: b) A father and a son working together can do a piece of job in 5 days. If the father alone can do…

A: We have to find how long will it take to son to do the job.

Q: The loose-leaf version of the textbook for this course is being remade. The area of each page within…

A: The area ofeach page within which there will actually be print will be 32inches2, and eachpage will…

Q: 5. One pipe can fill a tank in two hours, and another pipe can fill it in 3 hours. How of the tank…

A: We are authorized to solve only one question please repost remaining questions Unity rule

Q: a robot can complete 8 task in 5/6 ghour  so hoe long does it take the robot to complete  in one…

A: a robot take 56 hour to complete tasksin one hour how many tass?56 hours → 8 tasks1 hours → x tasks⇒…

Q: Assume that the golfer makes 75 percent of putts when they are less than 10 feet and 40 percent of…

A: Given: The percentage of putts when they are less than 10 feet is, P(x<10)=75%=0.75. The…

Q: A 18-foot piece of siding is cut into three pieces so that the second piece is three times as long…

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Q: Suppose that a lawn can be raked by one gardener in 5 hours and by a second gardener in 4 hours. How…

A: One gardener can make the lawn in 5 hours Another gardener can make the lawn in 4 hours

Q: 5) Find two consecutive odd numbers such that two less than three times the larger number is six…

A: Let x and y are two consecutive odd numbers. So, y=x+2 Two less than three times the larger number…

Q: Car A and car B are traveling at different speeds. Car A can travel 75 miles in the same time it…

A: Car A travels 75 miles and car B travels 60 miles.Car A travels 10 mph faster than car B.Here D = rt…

Q: Consider two consecutive conveyors carrying boxes each with a length of 1 foot. The speed of the…

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Q: When two trains P & Q running in opposite direction crosses each other in 10 seconds and when…

A: Introduction :

Q: Find three real numbers x, y, z whose sum is 6 and the sum of whose squares is as small as possible.…

A: Suppose the numbers are x,y and z which sum is 6. So, g(x,y,z)=x+y+z-6=0...(1) And, whose sum of…

Q: The product of john age (in years) for 5 years age with his age (in years) 9 years later is 15 .Find…

A: The product of john age (in years) for 5 years age with his age (in years) 9 years later is 15

Q: A snail moves 1/50 of a mile in 5/6 of an hour. if the snail continues at this pace, how far, in…

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Q: . If in a rectangle, the length is increased.and the breadth is reduced by 2 units each, the area is…

A: let the length of the rectangle be L units and the breadth of the rectangle be b units  so its area…

Q: #11. A metal bar is to be divided into two pieces so that one piece is 3 centimeters longer than…

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Q: Find three consecutive odd integers such that the sum of the first and second is 27 ess than the…

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Q: Find two consecutive integers such that tn more than twice the smaller is seven less than three…

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Q: A tomato plant that is 5 inches tall when first planted in a garden grows by 50% each week during…

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Q: Oil tanker can be emptied by the main pump in four hours and auxiliary pump can empty the tank in…

A: Given Oil tanker can be emptied by the main pump in four hours and auxiliary pump can empty the tank…

Q: 7. If the distance traveled is (3x-2x2 + 3x +8) kilometers and the speed is (x+ 1) km/h, what is the…

A: according to question, distance=3x3-2x2+3x+8 speed=x+1 we have to find time

Q: ompany 7. (m + x+ 22) – (x – y) - -

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Q: Suppose two trains leave a station at the same time, traveling in opposite directions. Train B…

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Q: A can do a piece of work in 80 days . He works at it for 10 days and then B alone finishes the…

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Q: Find the length of BE 3x +47- 10 C x+27 x+26-

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Q: Five brothers and their wives decide to have children until each family has two female children.…

A: Given information: It is given that 5 brothers and their wives decide to have children until each…

Q: The circumference of the circle and the perimeter of the rectangle are equal such that the length of…

A: The circumference of the circle and the perimeter of the rectangle are equal such that the length of…

Q: 7. If the distance traveled is (3x° – 2x2 + 3x + 8) kilometers and the speed is (x +1) km/h, what is…

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Q: 2. A car consumes 0.5 liters of gasoline for every 2 kilometers of ride. How far can the car go if…

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Q: To complete a job, father requires 9 days less than his son. Together they can complete the job in…

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Q: if kim can do a certain job in 5 hours, then at the end of  h hours she will have completed 5/h of…

A: Consider that the Kim can do a work in 5 hours. Then, the rate of doing job is 15 of the job. Thus,…

Q: Find two consecutive whole numbers that √39 lies between. and 10 x 5 ?

A: Given 39 We have to find two consecutive whole numbers that 39 lies between

Q: The price of a dress is reduced by 20% when the dress still does not sell ,price was then reduced By…

A: Step 1: Let x be the original price of the dress. Step 2: There are no other unknown quantities.…

Q: A boat in a river travels downstream between 2 points, 50miles apart, in 1 hour. The return trip…

A: For the boat's first trip, i.e. the boat travelling downstream will have the speed of the current…

Q: A company pays $20 per hour for up to 5 hours of work, and $30 per hour for overtime hours (hours…

A: Given x is the total hours worked. And beyond 5 hours it will be overtime hours.

Q: A bouncy ball is dropped such that the height of its first bounce is 7 feet and each successive…

A: The bounces of the ball represents a geometric sequence with First term=a=7Common ratio=r=67100=0.67

Q: Suppose a tortoise is 1000 ft from the ocean. Each day the tortoise travels 3/5 of the remaining…

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Q: Find two consecutive whole numbers that √22 lies between. and X Ś ?

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Q: A thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. by…

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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.