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### [Solved] Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?

Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu? Solution: Let the present age of Nuri be = x years Let the present age of Sonu be = y years Five years ago, the age of Nuri…

### [Solved] Emma buys a camping van for £23500 plus VAT at 20%. She pays a deposit for the camping van. She then pays the rest of the cost in 18 equal payments of £940 each month. Find the ratio of the deposit Emma pays to the total of the 18 equal payments. Give your answer in its simplest form.

Concept used: This question involves several mathematical concepts, including: By applying these concepts, we can find the correct simplified ratio of the deposit Emma pays to the total of the 18 equal payments, which is 2:3. Emma buys a camping van for £23500 plus VAT at 20%. She pays a deposit for the camping van….

### [Solved] A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What average amount should the company budget for a gallon of fuel across its operations? Round your answer to the nearest cent.

A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What average amount should the company budget for a gallon of fuel across its operations? Round your answer to the nearest cent. Probability and Fuel…

### [Solved] If 4 apples and 6 bananas cost $1.56, and 9 apples and 7 bananas cost $2.60, what is the cost of one apple and one banana?

Question: If 4 apples and 6 bananas cost $1.56, and 9 apples and 7 bananas cost $2.60. What are the cost of one apple and one banana? We will solve the system of linear equations using the elimination method. Step 1: Set up the equations We are given the following information: Let x be the…

### [Solved] Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45-degree angle to see a hot air balloon. Emily looks up at a 60-degree angle to see the same hot air balloon. Approximate how far is the hot air balloon off the ground.

Verified Answer: Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45-degree angle to see a hot air balloon. Emily looks up at a 60-degree angle to see the same hot air balloon. Approximate how far is the hot air balloon off the ground. Solution: According to the question,…

### [Solved] John buys some boxes of pencils and some packets of pens for people to use at a conference. There are 40 pencils in a box. There are 15 pens in a packet. John gives one pencil and one pen to each person at a conference. He has no pencils or pens left. How many boxes of pencils and how many packets of pens did John buy?

John buys some boxes of pencils and some packets of pens for people to use at a conference. There are 40 pencils in a box. There are 15 pens in a packet. John gives one pencil and one pen to each person at a conference. He has no pencils or pens left. How many boxes…