answer:First, let's find out how many points Jaron has earned from selling the chocolate bunnies. We know that each chocolate bunny is worth 100 points: Points from chocolate bunnies = Number of chocolate bunnies × Points per chocolate bunny = 8 × 100 = 800 points Now, we know that Jaron needs to earn a total of 2000 points to win the Nintendo Switch prize. To find out how many Snickers bars he needs to sell, we first subtract the points he's already earned from the chocolate bunnies (800 points) from the total required points (2000 points): Points needed from Snickers = Total points - Points from chocolate bunnies = 2000 - 800 = 1200 points Next, we divide this remaining point value by the number of points each Snickers bar is worth (25 points) to find out how many Snickers bars Jaron needs to sell: Number of Snickers bars = Points needed from Snickers ÷ Points per Snickers bar = 1200 ÷ 25 = 48 So, Jaron needs to sell 48 Snickers bars in order to reach the required 2000 points and win the Nintendo Switch prize.,First, let's determine how many points Jaron has already earned by selling the chocolate bunnies: Points from chocolate bunnies = 8 chocolate bunnies * 100 points per bunny = 800 points Now, subtract the points earned from the chocolate bunnies from the required total of 2000 points: Required Snickers points = 2000 total points - 800 chocolate bunny points = 1200 points Finally, divide the required Snickers points by the points earned per Snickers bar to find out how many Snickers bars Jaron needs to sell: Number of Snickers bars = 1200 required points ÷ 25 points per bar ≈ 48 Snickers bars Jaron needs to sell approximately 48 Snickers bars to reach the required 2000 points.,Jaron has already earned 8 bunnies * 100 points = 800 points from selling chocolate bunnies. He needs to earn a total of 2000 points, so he still needs to earn 2000 - 800 = 1200 points. Each Snickers bar he sells earns him 25 points, so he needs to sell 1200 points / 25 points per Snickers bar = 48 Snickers bars. Therefore, Jaron needs to sell 48 Snickers bars in order to reach the required 2000 points. 48 The answer is: 48

answer:Let's assume the width of the patio is x feet. According to the problem, the length of the patio is four times its width, so the length is 4x feet. The perimeter of a rectangle is given by the formula P = 2*(length + width). In this case, the perimeter is given as 100 feet, so we can set up the equation 100 = 2*(4x + x). Simplifying the equation, we get 100 = 2*(5x). Dividing both sides of the equation by 2, we get 50 = 5x. Dividing both sides of the equation by 5, we get 10 = x. So, the width of the patio is 10 feet. Therefore, the length of the patio is 4x = 4*10 = 40 feet. 40 The answer is: 40,Let's assume the length of the patio is L and its width is W. Given that the length of the patio is four times its width, we can write the relation as: L = 4W The formula to calculate the perimeter of a rectangle is: Perimeter = 2 * (Length + Width) Given that the perimeter of the patio is 100 feet, we can write the equation as: 100 = 2 * (L + W) Since L = 4W, we can substitute L by 4W in the second equation: 100 = 2 * (4W + W) Now, we can solve for W by expanding the equation: 100 = 2 * (5W) W = 100 / 10 W = 10 feet With the width known, we can find the length of the patio by substituting W in the equation L = 4W: L = 4 * 10 L = 40 feet Therefore, the length of the patio is 40 feet., The length of the patio is 40 feet. Here's the reasoning: 1. Let's denote the width of the patio as W and the length as L. 2. We know that L = 4W (the length is four times the width). 3. The formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter. 4. We are given that the perimeter (P) is 100 feet. 5. So, we can write the equation: 100 = 2(4W) + 2W 6. Simplifying the equation, we get: 100 = 8W + 2W, which further simplifies to 100 = 10W 7. Solving for W, we find that W = 10 feet. 8. Now, using the relationship L = 4W, we can find the length: L = 4 * 10 = 40 feet Therefore, the length of the patio is 40 feet.

answer:Mary carried 7 buckets of sand and Iris carried x = 4 - 1 = 3 less buckets than Mary. Here's the logic: 1. We know that Eden carried 4 buckets. 2. Mary carried 3 more buckets than Eden, so Mary carried 4 + 3 = 7 buckets. 3. Iris carried x less buckets than Mary, so Iris carried 7 - x buckets. 4. Each bucket contains 2 pounds of sand, so in total, they carried 4 * 2 + 7 * 2 + (7 - x) * 2 = 34 pounds of sand. 5. Simplifying the equation, we have 8 + 14 + 14 - 2x = 34. 6. Combining like terms, we get 36 - 2x = 34. 7. Subtracting 36 from both sides, we get -2x = -2. 8. Dividing both sides by -2, we find x = 1. 9. Since x = 1, Iris carried 3 - 1 = 2 less buckets than Mary. So Mary carried 7 buckets and Iris carried 3 less buckets than Mary.,Let's solve the problem step-by-step: 1. Eden carried 4 buckets of sand weighing 4 * 2 = 8 pounds. 2. Mary carried 3 more buckets than Eden, so she carried 4 + 3 = 7 buckets of sand, weighing 7 * 2 = 14 pounds. 3. Iris carried x less buckets than Mary, so she carried 7 - x buckets of sand. Now we can write an equation showing the total amount of sand collected: 8 + 14 + (7 - x) = 34 pounds Let's simplify and solve for x: 29 - x = 34 Add x to both sides of the equation: 29 = 34 + x Now, subtract 29 from both sides: -5 = x So, Iris carried -5 buckets of sand, which is not possible since the number of buckets has to be non-negative. Therefore, there may be an error in the statement about how many buckets Iris carried.,To solve this problem, we need to determine the value of x, which represents the number of buckets of sand Iris carried. Let's break down the information given: Number of buckets of sand Eden carried: 4 Number of buckets of sand Mary carried: 4 + 3 = 7 (3 more buckets than Eden) Number of buckets of sand Iris carried: 7 - x (x less bucket than Mary) Weight of each bucket of sand: 2 pounds Total weight of sand collected: 34 pounds We can set up the equation as follows: Weight of sand carried by Eden + Weight of sand carried by Mary + Weight of sand carried by Iris = Total weight of sand 4 buckets * 2 pounds/bucket + 7 buckets * 2 pounds/bucket + (7 - x) buckets * 2 pounds/bucket = 34 pounds Let's simplify and solve for x: 8 + 14 + (14 - 2x) = 34 36 - 2x = 34 To isolate x, we subtract 36 from both sides of the equation: 36 - 36 - 2x = 34 - 36 -2x = -2 Finally, we divide both sides of the equation by -2 to solve for x: x = -2 / -2 x = 1 The value of x is 1. 1 The answer is: 1

answer:First, let's find out how heavy the weights felt when being lowered. Tom is using 10 weight plates, each weighing 30 pounds, for a total weight of: Total weight = Number of weight plates * Weight per plate = 10 * 30 = 300 pounds If the weights feel x% heavier on the lowering portion, then the weights felt: Weight when lowering = Total weight * (1 + x/100) = 300 * (1 + x/100) Based on the information provided, the weights felt 360 pounds when being lowered. Therefore, we can write the equation: 360 = 300 * (1 + x/100) Now, let's solve for x: 360/300 = 1 + x/100 0.9 = x/100 Now, multiply both sides by 100 to find the value of x: x = 0.9 * 100 x = 90 Therefore, the weights felt 90% heavier on the lowering portion.,Tom uses 10 weight plates each weighing 30 pounds, so the total weight of the plates is 10 * 30 = 300 pounds. The exercise machine makes the weights x% heavier on the lowering portion, so the weights feel 100% + x% = 100% + (x/100) = 1 + (x/100) times heavier. To find out how heavy the weights feel when being lowered, we multiply the total weight of the plates by the factor of heaviness: 300 * (1 + (x/100)) = 300 + (3x). We are given that the weights feel 360 pounds when being lowered, so we can write: 300 + (3x) = 360. Simplifying the left side, we get: 3x = 60. Dividing both sides by 3, we get: x = 20. The value of x is 20. 20 The answer is: 20,We start with the weight of each plate, which is 30 pounds. Since there are 10 plates, the total weight of all plates is 30 * 10 = 300 pounds. We know that these weights are made x% heavier on the lowering portion of the exercise machine. This means that the weight of each plate feels x% greater than the actual weight. We can represent this as (1 + x/100) * 30 pounds. Because there are 10 plates, the total additional weight is 10 * (1 + x/100) * 30 = 10 * (1.0001x) * 30 = 300001 * x = 300. We can solve for x by dividing both sides of the equation by 300001 to isolate x: 300001 * x / 300001 = 300 / 300001, x = 1%. So, the value of unknown variable x is 1%.