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.)A school band has a brass section of trumpet, trombone, and tuba players.There are twice as many trombones as tubas and half as many trombones as trumpets. 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.)It cost Neil $2.88 to make 2 dozen muffins.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
2. X Tubas.
2x Trombones.
4x Trumpets.
X = 2 Tubas
2x = 2 * 2 = 4 Trombones.
4x = 4 * 2 = 8 Trumpets.
Total players = 2 + 4 + 8 = 14.
3. Cost = (2.88/2) * 6Dozens = $8.64 for
6 dozens.
Profit = Sale price - Cost.
4. From 6:50AM to 10:15AM = 3h and 25 min = 205 Min.
205Min * 1Plane/45Min = 4.55555556 Planes. = 4 and 0.55555556 planes.
T = 45Min - 0.55555556Plane * 45Min/plane = 45Min - 25Min = 20 Min.
1.) To determine how many house numbers contain at least one 7, we can use the concept of counting. We know that the houses on the street are numbered with odd numbers starting from 1 and ending at 201. To find the total number of house numbers that contain at least one 7, we can break the problem down into smaller parts.
First, let's determine how many odd numbers there are between 1 and 201. We can do this by subtracting the first odd number, 1, from the last odd number, 201, and then dividing the result by 2. (201 - 1) / 2 = 200 / 2 = 100.
Now, let's think about the different possibilities for having a 7 in the house number. We can have 7 as the ones digit (e.g., 7, 17, 27, 37, etc.), as the tens digit (e.g., 70, 71, 72, etc.), or as both digits (e.g., 77, 107, 117, etc.).
To find the number of house numbers that have a 7 as the ones digit, we divide the total number of odd numbers by 10 (since there are 10 possible digits for the ones place). 100 / 10 = 10.
To find the number of house numbers that have a 7 as the tens digit, we again divide the total number of odd numbers by 10 (since there are 10 possible digits for the tens place). 100 / 10 = 10.
To find the number of house numbers that have a 7 as both the ones and tens digit, we divide the total number of odd numbers by 100 (since there are 100 possible combinations for the tens and ones place). 100 / 100 = 1.
Finally, we add up the three sets of house numbers: 10 + 10 + 1 = 21.
Therefore, the correct answer is not given in the options provided. The correct answer is 21 house numbers.
2.) To find the total number of players in the brass section of the school band, we need the given information about the tubas and trombones.
It states that there are twice as many trombones as tubas and half as many trombones as trumpets. Since there are two tubas, we can calculate based on this provided information.
If there are two tubas, then the number of trombones is twice that, which equals 2 x 2 = 4.
The question does not give a specific number for trumpets, but it states that there are half as many trombones as trumpets. So, if there are 4 trombones, then there must be 2 x 4 = 8 trumpets.
Now, to find the total number of players in the brass section, we add the number of tubas, trombones, and trumpets: 2 + 4 + 8 = 14.
Therefore, the correct answer is not given in the options provided. The correct answer is 14 players.
3.) To calculate the profit Neil made from selling 6 dozen muffins, we need to know both the cost to make the muffins and the selling price per dozen.
Given that it cost Neil $2.88 to make 2 dozen muffins, we can use this information to find the cost per dozen. We divide the cost by the number of dozens: $2.88 / 2 = $1.44 per dozen.
Since Neil sold 6 dozen muffins, we multiply the selling price per dozen by the number of dozens sold: $1.44 x 6 = $8.64.
To calculate the profit, we subtract the cost from the revenue: $8.64 - $2.88 = $5.76.
Therefore, the correct answer is not given in the options provided. The correct answer is $5.76 profit.
4.) To determine how long you will have to wait for the next plane to New York after arriving at the airport at 10:15 am, we need to understand the timing of the plane departures.
Given that planes leave the airport for New York every 45 minutes, and you arrived at 10:15 am, we need to calculate the time difference between your arrival time and the next departure time.
We start by finding the time of the next departure after 10:15 am. We can do this by adding 45 minutes to the current time: 10:15 + 45 minutes = 11:00 am.
Therefore, you will have to wait for 45 minutes from the time you arrived until the next plane to New York departs.
Therefore, the correct answer is not given in the options provided. The correct answer is 45 minutes.