answer:To solve this problem, we need to determine the value of x, which represents the number that the given sum is divided by to get a remainder of 7. The given sum is 1 + 2 + 3 + 4 + ... + 9 + 10. We can rewrite this sum using the formula for the sum of an arithmetic series: Sum = (first term + last term) * (number of terms) / 2 Sum = (1 + 10) * 10 / 2 Sum = 11 * 10 / 2 Sum = 55 So, we have 55 as the sum of the numbers 1 to 10. Now, let's divide 55 by x and find the remainder: 55 / x = q with a remainder of 7 This means that 55 is divisible by x q times and leaves a remainder of 7. To find the value of x, we need to find a number that, when divided into 55, leaves a remainder of 7. Let's try different values for x: 55 / 8 = 6 with a remainder of 7 55 / 7 = 7 with no remainder 55 / 6 = 9 with a remainder of 1 55 / 5 = 11 with no remainder Based on these results, we can conclude that x = 8. The value of unknown variable x is 8. The answer is: 8

answer:Dr. Jones' monthly earnings are 6,000. He spends 1/4 of his earnings on electric and water bills, which is 1/4 * 6,000 = 1,500. He also spends 1/5 of his earnings on insurance, which is 1/5 * 6,000 = 1,200. So his total expenses are 640 + 380 + 1,500 + 1,200 = 3,720. Therefore, Dr. Jones has 6,000 - 3,720 = 2,280 left from his monthly earnings. 2280 The answer is: 2280

answer:Tolu wants 3 pencils, so he will spend 3 * 20 cents = 60 cents. Robert wants 5 pencils, so he will spend 5 * 20 cents = 100 cents. Melissa wants 2 pencils, so she will spend 2 * 20 cents = 40 cents. Altogether, the students will spend 60 cents + 100 cents + 40 cents = 200 cents. Since there are 100 cents in a dollar, the students will spend 200 cents / 100 = 2 dollars. 2 The answer is: 2

answer:To solve this problem, we need to determine the value of x, which represents the number of weeks the farmer would make 552 money. Let's break down the information given: Number of chickens: 46 Number of eggs each chicken gives per week: 6 Number of eggs the farmer gets per week: 46 * 6 = 276 Number of dozens of eggs the farmer gets per week: 276 / 12 = 23 Price per dozen eggs: 3 Total money made per week: 23 * 3 = 69 Total money made in x weeks: 552 We can set up the equation as follows: Total money made per week * Number of weeks = Total money made in x weeks 69 * x = 552 Let's simplify and solve for x: 69x = 552 To isolate x, we divide both sides of the equation by 69: 69x / 69 = 552 / 69 x = 8 The value of x is 8. 8 The answer is: 8