answer:Yolanda averaged 4 free throws per game, which is 4 points. She also averaged 5 two-point baskets per game, which is 5 * 2 = 10 points. In total, she averaged 4 + 10 = 14 points per game. Yolanda scored 345 points over the entire season, so 345 points / 15 games = 23 points per game. Out of the 23 points per game, 14 points came from free throws and two-point baskets. So, Yolanda averaged 23 - 14 = 9 points per game from three-point baskets. Since each three-point basket is worth 3 points, Yolanda averaged 9 / 3 = 3 three-point baskets per game. 3 The answer is: 3, First, let's determine the number of points Yolanda scored from free throws and two-point baskets per game: Points from free throws = Free throws per game * Points per free throw = 4 * 1 = 4 points Points from two-point baskets = Two-point baskets per game * Points per two-point basket = 5 * 2 = 10 points Now, let's find the total points scored by Yolanda per game: Points per game = Points from free throws + Points from two-point baskets = 4 + 10 = 14 points We know that the total points scored by Yolanda over the entire season are 345. To find the number of games she played, we divide the total points by the points scored per game: Number of games = Total points / Points per game = 345 / 14 ≈ 24.64 Since the number of games must be a whole number, we can conclude that Yolanda played 25 games over the season (one more game than stated in the problem). Now, we can find the number of three-point baskets she scored per game by first calculating the total points she scored from three-point baskets over the season: Points from three-point baskets = Total points - (Points from free throws * Number of games) - (Points from two-point baskets * Number of games) = 345 - (4 * 25) - (10 * 25) = 345 - 100 - 250 = 45 points Finally, we can calculate the number of three-point baskets per game: Three-point baskets per game = Points from three-point baskets / Number of games = 45 / 25 = 1.8 Since Yolanda can't score a fraction of a three-point basket, we must round this number to the nearest whole number, meaning Yolanda scored an average of 2 three-point baskets per game.,First, let's calculate Yolanda's average points per game: Points per game = Total points / Number of games = 345 points / 15 games = 23 points per game Next, we will calculate the total points she scored on free throws and two-point baskets: Points from free throws = 4 free throws/game * 1 point/free throw * average points per game = 4 * 1 * 23 = 92 points from free throws Points from two-point baskets = 5 two-point baskets/game * 2 points/basket * average points per game = 5 * 2 * 23 = 230 points from two-point baskets Now, subtract her points from free throws and two-point baskets from her total points per game to find her average points from three-point baskets: Points from three-point baskets = Points per game - (Points from free throws + Points from two-point baskets) = 23 points - (92 points + 230 points) = 23 - 322 = -299 points Since the result is negative, it means there is an error in the calculations or the information provided. Yolanda scored 345 points in total over 15 games, but the given formula results in a negative value for three-point baskets. Double-check the data and assumptions you used in your calculations as there might be a mistake somewhere.

answer:There are 200 wheels at the train station. Here's the reasoning: 1. We know that there are 4 trains at the station. 2. Each train has 4 carriages, so there are a total of 4 x 4 = 16 carriages (4 being the multiplicand because we want to find the total number of carriages first). 3. Each carriage has 3 rows of wheels, so there are 16 x 3 = 48 rows of wheels (16 being the multiplicand since we found the total number of carriages earlier). 4. Each row of wheels contains 5 wheels, so there are 48 x 5 = 240 individual wheels (48 being the multiplicand because we found the total number of rows of wheels earlier). 5. However, we must consider that each wheel is shared between two rows of wheels on the same carriage, meaning there are actually half as many wheels as there are wheel rows. Therefore, we need to divide our result by 2, giving us 240 / 2 = 120 wheels per carriage. 6. Finally, since there are 16 carriages, we multiply the number of wheels per carriage (120) by the number of carriages (16), resulting in 120 x 16 = 200 wheels.,There are 240 wheels at the train station. Here's the reasoning behind this: 1. We start with 4 trains. 2. Each train has 4 carriages. 3. Each carriage has 3 rows of wheels. 4. Each row of wheels has 5 wheels. Now, we multiply the total number of trains, carriages, rows of wheels, and wheels to get the total number of wheels at the train station: (4 trains) x (4 carriages/train) x (3 rows/carriage) x (5 wheels/row) = 4 x 4 x 3 x 5 = 240 wheels.,There are 4 trains and each train has 4 carriages, so there are 4 x 4 = 16 carriages in total. Each carriage has 3 rows of wheels, so there are 16 x 3 = 48 rows of wheels in total. Each row of wheels has 5 wheels, so there are 48 x 5 = 240 wheels in total. Therefore, there are 240 wheels at the train station. 240 The answer is: 240

answer:To solve this problem, we need to determine the value of x, which represents the number of pine trees that Jerry cut up. Let's break down the information given: Number of logs per pine tree: 80 Number of logs per maple tree: 60 Number of logs per walnut tree: 100 Number of pine trees: x Number of maple trees: 3 Number of walnut trees: 4 Total number of logs: 1220 We can set up the equation as follows: Number of logs per pine tree * Number of pine trees + Number of logs per maple tree * Number of maple trees + Number of logs per walnut tree * Number of walnut trees = Total number of logs 80x + 60 * 3 + 100 * 4 = 1220 Let's simplify and solve for x: 80x + 180 + 400 = 1220 80x + 580 = 1220 To isolate x, we subtract 580 from both sides of the equation: 80x + 580 - 580 = 1220 - 580 80x = 640 To solve for x, we divide both sides of the equation by 80: x = 640 / 80 x = 8 The value of x is 8. 8 The answer is: 8,To solve this problem, we need to set up an equation based on the information given. Let's denote the number of pine trees Jerry cuts up as "x". We also know that 3 maple trees and 4 walnut trees are cut up. The total number of logs from pine trees is 80*x, the total number of logs from maple trees is 60*3=180, and the total number of logs from walnut trees is 100*4=400. So the total number of logs is: 80x + 180 + 400 = 1220 Now we need to solve for x: 80x + 580 = 1220 80x = 640 To isolate x, we divide both sides of the equation by 80: x = 640 / 80 x = 8 So the value of x is 8. Jerry cut up 8 pine trees to get the specified number of logs., To find the value of the unknown variable x, we can set up an equation based on the information given. Let P = the number of logs obtained from pine trees M = the number of logs obtained from maple trees W = the number of logs obtained from walnut trees From the problem, we know that: P = 80x (since each pine tree makes 80 logs) M = 60 * 3 (since there are 3 maple trees) W = 100 * 4 (since there are 4 walnut trees) We also know that the total number of logs is 1220: P + M + W = 1220 Substituting the expressions from above, we get: 80x + 60 * 3 + 100 * 4 = 1220 Simplifying, we obtain: 80x = 1220 - 60 * 3 - 100 * 4 80x = 1220 - 180 - 400 80x = 640 Now we can solve for x: x = 640 / 80 x = 8 So the value of the unknown variable x is 8. Jerry cuts up 8 pine trees to get 1220 logs along with 3 maple trees and 4 walnut trees.

answer:The Printing shop needs to ship 5000 brochures, and each box can contain one-fifth of the brochures. To find out how many boxes are needed, we can set up the following equation: 0.2 * Boxes = Total brochures We can solve this equation by finding the value of "Boxes." First, divide the total number of brochures (5000) by the proportion of brochures that fit in each box (0.2): 5000 brochures / 0.2 = 25000 boxes Since the number of boxes is not a whole number, it means that each box has to hold more than one-fifth of the brochures. This equation does not accurately represent the situation, and the printing shop would need more than 25,000 boxes to ship the 5000 brochures.,If each box can only contain one-fifth of the brochures, then each box can hold 5000/5 = 1000 brochures. To ship 5000 brochures, the printing shop will need 5000/1000 = 5 boxes. 5 The answer is: 5, To find out how many boxes are needed, we first need to figure out how many fifths make up 5000 brochures. We know that: 1 fifth = 1/5 So, 5000 brochures = 5000 * (1/5) = 1000 fifths Since each box can hold one-fifth of the brochures, and there are 1000 fifths in total: Number of boxes needed = Total number of fifths / Fifths per box = 1000 / 1 = 1000 So, the printing shop will need 1000 boxes to ship the 5000 brochures.