answer:To solve the problem, we will follow Maria's actions step by step:1. Initial Count: Maria starts with cuatro (4) apples. - Initial apples = 42. Buying More Apples: Maria buys cinco (5) more apples from the store. - Apples after buying = Initial apples + apples bought - Apples after buying = 4 + 5 = 93. Giving Away Apples: Maria gives dos (2) apples to her friend. - Apples after giving away = Apples after buying - apples given - Apples after giving away = 9 - 2 = 7Now, we have completed all the steps. Therefore, the number of apples Maria has now is:# 7

answer:To solve this problem, let's break down Alice's reading schedule:1. Determine the number of days Alice reads per week: - Alice reads from Monday to Saturday, which is 6 days.2. Calculate how many pages Alice reads in one week: - She reads 15 pages per day. - Pages read in one week = 15 pages/day × 6 days = 90 pages.3. Calculate the number of pages left to finish the first book after one week: - Each book has 120 pages. - Pages left to finish the first book = 120 pages - 90 pages = 30 pages.4. Determine the day Alice finishes the first book: - After reading 90 pages, 30 pages remain. - On Sunday, she reads 15 pages (since she reads every night), leaving her with 15 pages remaining. - On Monday, she reads another 15 pages, finishing the first book. 5. Calculate pages read in the second book by the end of the second week: - By the end of the second week, she has read 90 pages into the second book (from Monday to Saturday).6. Calculate the remaining pages in the second book: - Pages left in the second book = 120 pages - 90 pages = 30 pages.7. Determine the day Alice finishes the second book: - On Sunday of the second week, Alice reads 15 more pages, leaving her with 15 pages. - On Monday of the third week, she reads the remaining 15 pages, finishing the second book.Therefore, Alice will finish reading the second book on Monday.# Monday

answer:To solve the problem, we need to calculate the total time spent at the Formula 1 event over the weekend by summing the durations of each event and the additional activities for each day.Step 1: Calculate the total time spent on each day.- Friday: - Practice Sessions: 4 hours - Merchandise store visit: 0.5 hours (30 minutes) - Pit lane exploration: 0.75 hours (45 minutes) Total time on Friday = 4 + 0.5 + 0.75 = 5.25 hours- Saturday: - Qualifying session: 1.5 hours - Merchandise store visit: 0.5 hours - Pit lane exploration: 0.75 hours Total time on Saturday = 1.5 + 0.5 + 0.75 = 2.75 hours- Sunday: - Race: 2 hours - Merchandise store visit: 0.5 hours - Pit lane exploration: 0.75 hours Total time on Sunday = 2 + 0.5 + 0.75 = 3.25 hoursStep 2: Calculate the total time spent over the weekend.Total time over the weekend = Total time on Friday + Total time on Saturday + Total time on SundayTotal time over the weekend = 5.25 + 2.75 + 3.25 = 11.25 hoursThe total time you will spend at the Formula 1 event over the weekend is 11.25 hours.# 11.25

answer:To solve the problem, we need to calculate the total number of hours Alex spends fact-checking historical claims over the three days.1. Calculate the hours spent on Monday: - Alex fact-checks 5 claims on Monday. - Since Alex spends 3 hours per claim, the total hours spent on Monday is calculated as: [ 5 text{ claims} times 3 text{ hours/claim} = 15 text{ hours} ]2. Calculate the hours spent on Tuesday: - Alex fact-checks 4 claims on Tuesday. - The total hours spent on Tuesday is: [ 4 text{ claims} times 3 text{ hours/claim} = 12 text{ hours} ]3. Calculate the hours spent on Wednesday: - Alex fact-checks 6 claims on Wednesday. - The total hours spent on Wednesday is: [ 6 text{ claims} times 3 text{ hours/claim} = 18 text{ hours} ]4. Add up the total hours for all three days: - Total hours spent fact-checking over the three days is the sum of the hours spent on each individual day. [ 15 text{ hours (Monday)} + 12 text{ hours (Tuesday)} + 18 text{ hours (Wednesday)} = 45 text{ hours} ]Thus, the total number of hours Alex spends fact-checking historical claims during these three days is:[boxed{45}]# 45

answer:To solve this problem, we need to determine how many unique outfits Trendy Beats can create from the available clothing items, given the constraints. Step-by-step Solution:1. Understand the components of each outfit: - Each outfit consists of one jacket, one pair of pants, and one pair of shoes.2. Calculate the total combinations for one outfit: - Trendy Beats has 5 jackets to choose from. - Trendy Beats has 3 pairs of pants to choose from. - Trendy Beats has 6 pairs of shoes to choose from. To find the total number of combinations for one outfit, multiply the number of choices for each component: [ text{Total combinations for one outfit} = (text{Number of jackets}) times (text{Number of pants}) times (text{Number of shoes}) = 5 times 3 times 6 ]3. Calculate the total number of combinations: - (5 times 3 = 15) ways to choose a jacket and a pair of pants. - (15 times 6 = 90) ways to choose a jacket, pair of pants, and pair of shoes. So, there are 90 different combinations for one outfit.4. Select 4 unique outfits from the total combinations: - Since the problem asks for 4 unique outfits, and we have 90 possible combinations, Trendy Beats can simply select any 4 different combinations. - The order in which the outfits are selected does not matter, and no additional constraints are given (e.g., each item can be reused across different outfits).5. Determine the number of ways to select 4 unique outfits from 90: - The problem doesn't specify further restrictions, so we assume it is simply the combinations of choosing 4 outfits from the available 90 combinations. - Since each combination is distinct and no reuse restrictions are given, the number of ways to choose 4 distinct outfits from 90 is straightforward: ( binom{90}{4} ).6. Final Calculation: - Calculating ( binom{90}{4} ): [ binom{90}{4} = frac{90 times 89 times 88 times 87}{4 times 3 times 2 times 1} ] - Calculate the numerator: ( 90 times 89 times 88 times 87 = 55840560 ) - Calculate the denominator: ( 4 times 3 times 2 times 1 = 24 ) - Divide the two results to find the number of ways: [ frac{55840560}{24} = 2323352.5 ] Since this division was incorrect, let's revisit: Error Correction: Since the problem does not specify that outfits are chosen without replacement, the correct interpretation is that any combination can be reused as needed, and the task is just to choose any 4 combinations from the available 90 without considering order or restriction. Thus, the number of ways to choose 4 outfits from the 90 available combinations without considering order or uniqueness per set (since no constraint against reuse): The problem doesn't require combinatorial selection beyond just understanding there's a sufficient number of combinations to freely choose 4 outfits. [ 4! = 24 text{ ways to arrange 4 different outfits (or combinations thereof) } ] However, we specifically need only to count choosing any 4 distinct from available set.Thus, the number of ways to choose 4 distinct outfits from the 90 possible combinations is simply the number of ways to create distinct sets of outfits, and given no specific constraints, this resolves to a simple choice of (4) from a possible (90) which is just the freedom to choose and organize them.This logic incorrectly overcomplicated, as the simple choice is sufficient assuming each outfit is distinct by selection constraint.The correct resolution is simply acknowledging the creation of 4 different outfits as described, assuming no reuse constraint:[text{Final Answer:}][# 90]

answer:To solve the problem, we need to calculate the total number of lighting effects and costume changes the actress will experience during the rehearsals for all scenes combined.1. Identify Elements Per Scene: - Each scene has 8 unique lighting effects. - Each scene has 3 dramatic costume changes.2. Calculate Total Elements Per Scene: - For each scene, the total number of elements (lighting effects and costume changes) is: [ text{Total elements per scene} = text{Lighting effects} + text{Costume changes} = 8 + 3 = 11 ]3. Calculate Total Elements for All Rehearsals of One Scene: - Each scene is rehearsed 4 times. - Therefore, the total number of elements experienced during the rehearsals of one scene is: [ text{Total elements for one scene rehearsal} = 11 times 4 = 44 ]4. Calculate Total Elements for All Scenes Combined: - There are 5 different scenes. - Therefore, the total number of elements experienced during the rehearsals for all scenes combined is: [ text{Total elements for all scenes} = 44 times 5 = 220 ]Thus, the actress will experience a total of 220 elements during the rehearsals for all scenes combined.# 220