The houses on your street are numbered with odd numbers starting with 1 and ending with 201. How many house numbers contain at least one 7?
a.)30 numbers
b.)28 numbers
c.)24 numbers
d.)20 numbers
2.) If there are two tubas in the band, what is the total number of players in the brass section?
a.)8 players
b.)10 players
c.)12 players
d.) 14 players
3.)Original text
If Neil sold 6 dozen muffins, how much profit did he make from the sale?
a.) $40.32
b.) $48.96
c.) $24.48
d.) $57.60
4.)Beginning at 6:50 am, planes leave an airport for New York every 45 minutes.You arrive at the airport at 10:15 am How long will you have to wait for the next plane to New York?
a.) 15 minutes
b.) 20 minutes
c.) 25 minutes
d.) 30 minutes
Can someone post the answers, please don't put the wrong ones someone has done it and gave me all wrong answers..............
24
1.) To find out how many house numbers contain at least one 7, we need to count the number of odd numbers between 1 and 201 that have at least one 7. We can do this by breaking down the problem into two cases:
Case 1: Numbers between 1 and 100
In this case, we have odd numbers from 1 to 99. We can find the number of numbers with at least one 7 by counting the numbers in which the ones digit is 7 or the tens digit is 7. There are 10 numbers (7, 17, 27, 37, 47, 57, 67, 77, 87, 97) with a 7 in the ones digit, and 10 numbers (70, 71, 72, 73, 74, 75, 76, 77, 78, 79) with a 7 in the tens digit. However, we have counted 77 twice, so we subtract 1. So, in this case, there are 10 + 10 - 1 = 19 numbers with at least one 7.
Case 2: Numbers between 101 and 201
In this case, we have odd numbers from 101 to 201. Similar to the previous case, we count the numbers in which the ones digit is 7 or the tens digit is 7. There are 10 numbers with a 7 in the ones digit (107, 117, 127, 137, 147, 157, 167, 177, 187, 197) and 10 numbers with a 7 in the tens digit (170, 171, 172, 173, 174, 175, 176, 177, 178, 179). However, we have counted 177 twice, so we subtract 1. So, in this case, there are 10 + 10 - 1 = 19 numbers with at least one 7.
Adding up the counts from both cases, we get 19 + 19 = 38 numbers. However, we have counted 77 twice in both cases, so we need to subtract 1. Therefore, the correct answer is:
Answer: a.) 30 numbers
2.) The question states that there are two tubas in the band, and we need to find the total number of players in the brass section. The brass section includes the tubas, so we need to add the two tubas to the total number of players.
Answer: d.) 14 players
3.) To find the profit Neil made from selling 6 dozen muffins, we need to know the price of each muffin and the cost price of each muffin. Unfortunately, the original text does not provide this information. Without this information, we cannot calculate the profit. Therefore, we cannot determine the correct answer.
Answer: Cannot be determined
4.) The planes leave every 45 minutes starting from 6:50 am. To find out how long you will have to wait for the next plane to New York, we need to calculate the difference between your arrival time (10:15 am) and the next departure time.
First, convert the arrival time to minutes: 10:15 am is equal to 10 * 60 + 15 = 615 minutes.
Next, calculate the time elapsed since the first departure at 6:50 am: 615 - 410 = 205 minutes.
Divide the elapsed time by the time interval between each departure: 205 / 45 = 4 remainder 35.
Since the remainder is less than the time interval (45 minutes), you will have to wait the remaining minutes until the next departure.
Answer: c.) 25 minutes