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matthew and anthony each have a video game collection

the number of video games in matthew's collection can be represented by x.
the number of video games in anthony's collection is 5 times the number in matthew's collection
what is x, the number of video games in matthew's collection? tell me what x equals.

7 answers

To represent the number of video games in Matthew's collection, we use the variable \( x \). According to the problem, the number of video games in Anthony's collection is 5 times the number in Matthew's collection, which can be represented as \( 5x \).

However, without additional information, we can't determine a specific numerical value for \( x \). It simply represents the quantity of video games Matthew has, and it can be any non-negative integer.

If you have more information (like the total number of games or another equation), please provide it, and I can help you find a specific value for \( x \). Otherwise, \( x \) remains an undefined variable.

both of their collection is a total of 72

Given that the total number of video games in both Matthew's and Anthony's collections is 72, we can set up the following equation:

  1. Matthew's collection: \( x \) (number of games Matthew has)
  2. Anthony's collection: \( 5x \) (since he has 5 times as many as Matthew)

The equation representing their total collections is:

\[ x + 5x = 72 \]

Combining the terms on the left side gives:

\[ 6x = 72 \]

Now, we can solve for \( x \):

\[ x = \frac{72}{6} = 12 \]

So, the number of video games in Matthew's collection, \( x \), equals 12.

To verify, if Matthew has 12 games, then Anthony has:

\[ 5 \times 12 = 60 \text{ games} \]

Adding them together:

\[ 12 + 60 = 72 \]

Thus, the solution is consistent, and the number of video games in Matthew's collection is indeed 12.

on monday 449 students went on a trip to the zoo. all 9 buses were filled and 8 students had to travel in cars how many students were on each bus

To find out how many students were on each bus, we first need to account for the 8 students who traveled in cars.

Starting with the total number of students:

\[ 449 \text{ (total students)} - 8 \text{ (students in cars)} = 441 \text{ (students on buses)} \]

Now that we know 441 students traveled on the buses, we can find out how many students were on each of the 9 buses by dividing the number of students on the buses by the number of buses:

\[ \text{Number of students per bus} = \frac{441}{9} \]

Calculating this gives:

\[ \frac{441}{9} = 49 \]

Thus, there were 49 students on each bus.

which conditions most likely account for extreme poverty and economic disparity in southeast asia
a. scarcity of natural resources to support farming and industry
b. lack of interest in trade and commercial partnerships
c. isolationism that limits exposer to modern technologies
d. competition among workers for too few jobs and low wages

The conditions that most likely account for extreme poverty and economic disparity in Southeast Asia include:

A. Scarcity of natural resources to support farming and industry: Many regions in Southeast Asia face limitations in natural resources, which can hinder agricultural and industrial development. However, it's worth noting that there are also resource-rich areas in the region.

C. Isolationism that limits exposure to modern technologies: While Southeast Asia has many countries that are connected globally, there are indeed remote areas that might not have adequate exposure to modern technologies, which can impede economic growth and advancement.

D. Competition among workers for too few jobs and low wages: This is a significant factor in economic disparity and extreme poverty. In many countries, there is a high population density and a surplus of labor, which can lead to fierce competition for limited job opportunities and can depress wages.

B. Lack of interest in trade and commercial partnerships: This is less likely to be a significant factor since many Southeast Asian countries are actively engaged in trade and have formed various economic partnerships, such as ASEAN (Association of Southeast Asian Nations).

Overall, D (competition among workers for too few jobs and low wages) is one of the most direct contributors to extreme poverty and economic disparity in the region, with A and C also playing important roles depending on the specific context of each nation or area within Southeast Asia.