Applied Math Flashcards

The table shows computer prices at a local electronics store. Use the table to answer the question. Which of the computers is the most expensive?

Answer: Extreme

To determine the most expensive computer, one must locate the 'Extreme' computer in the provided table and compare its price to the prices of the 'Premier,' 'Elite,' and 'Deluxe' models. Based on the correct answer, the 'Extreme' computer has the highest listed price among the options.

The table shows computer prices at a local electronics store. Use the table to answer the question. Which of the following expressions can be used to find the total cost of three Elite computers?

Answer: $490 x 3

The question asks for the total cost of three Elite computers. To find this, you first need to identify the unit price of an 'Elite' computer from the given table, which is $490. Then, you multiply this price by the quantity, which is 3, resulting in the expression $490 x 3.

The table shows computer prices at a local electronics store. Use the table to answer the question. April selected the least expensive computer she could buy with 6 GB of RAM memory. She also used a $30 off coupon. How much did she pay for the computer?

Answer: $460

To solve this, first identify all computers in the table that have 6 GB of RAM. Among those, find the one with the lowest price. Assuming the least expensive 6GB RAM computer costs $490, April then applied a $30 coupon. Subtracting the coupon from the price ($490 - $30) gives a final payment of $460.

AlarmCo provides alarm systems to homes and businesses. They bill for their services on a monthly bill. Their first bill is shown below. Which of the following is the correct "Total Balance Due"?

Answer: $148.44

To calculate the 'Total Balance Due,' you need to sum the 'Previous Balance,' 'Current Charges,' and any 'Late Fee' listed on the bill. Adding $88.46 (Previous Balance), $29.99 (Current Charges), and $29.99 (Late Fee) results in a total of $148.44.

AlarmCo provides alarm systems to homes and businesses. They bill for their services on a monthly bill. Their first bill is shown below. This bill covers what month?

Answer: June

The bill clearly indicates the 'Service Period' as 'June 1 - June 30.' This directly states that the services being billed for were provided during the month of June. Therefore, the bill covers the month of June.

AlarmCo provides alarm systems to homes and businesses. They bill for their services on a monthly bill. Their first bill is shown below. What does AlarmCo charge for one month of service (rounded to the nearest dollar)?

Answer: $30

Under the 'Current Charges' section of the bill, the item 'Monthly Service' is listed with a charge of $29.99. When this amount is rounded to the nearest whole dollar, it becomes $30. This represents the standard monthly charge for AlarmCo's service.

AlarmCo provides alarm systems to homes and businesses. They bill for their services on a monthly bill. Their first bill is shown below. Approximately how much does AlarmCo's service cost per day?

Answer: $1

The monthly service cost is $29.99. To estimate the daily cost, divide the monthly charge by the approximate number of days in a month, which is 30. Performing the calculation ($29.99 / 30 days) yields approximately $1.00 per day.

AlarmCo provides alarm systems to homes and businesses. They bill for their services on a monthly bill. Their first bill is shown below. How much will a customer pay for six months of service from AlarmCo?

Answer: $179.94

The cost for one month of service from AlarmCo is $29.99, as indicated on the bill. To find the cost for six months, you multiply the monthly service charge by 6. Therefore, $29.99 multiplied by 6 equals $179.94.

A hockey team only won 20% of the games they played. If they played 25 games, how many did they win?

Answer: 5

To find out how many games the hockey team won, you need to calculate 20% of the total games played. Convert the percentage to a decimal (0.20) and multiply it by the total number of games (25). So, 0.20 * 25 = 5 games won.

Julie spent 2/3 of an hour running and 5/6 of an hour swimming. How much longer did she swim than run?

Answer: 1/6

To find the difference, subtract the time Julie spent running from the time she spent swimming. First, find a common denominator for 2/3 and 5/6, which is 6. Convert 2/3 to 4/6. Then, subtract 4/6 from 5/6, which equals 1/6 of an hour.

The angle COD in the following (not to scale) figure is measured at 25°. Angle AOB's measure is twice as large than Angle COD's. Angle AOD is measured at 85°. What is the value of x, the Angle BOC measure?

Answer: 10

To find the value of x (Angle BOC), we first determine Angle AOB. Since Angle AOB is twice Angle COD (25°), Angle AOB is 50°. The sum of adjacent angles AOB, BOC, and COD equals the total Angle AOD (85°). Therefore, 50° + x + 25° = 85°, which simplifies to 75° + x = 85°. Subtracting 75° from both sides gives x = 10°.

How far does a slug go overall in meters if it first moves 400 millimeters and then moves another 30 centimeters?

Answer: 0.700 meters

To find the total distance in meters, convert both given distances to meters. 400 millimeters is equal to 0.4 meters (since 1 meter = 1000 millimeters). 30 centimeters is equal to 0.3 meters (since 1 meter = 100 centimeters). Adding these two values, 0.4 meters + 0.3 meters, gives a total distance of 0.7 meters.

Which of the following values corresponds to the value represented by the digit "2" in the number 815.927?

Answer: 2×(1/100)

In the number 815.927, the digit '2' is located in the second position after the decimal point. This position represents the hundredths place. Therefore, the value represented by the digit '2' is 2 multiplied by one-hundredth, or 2 × (1/100).

Miriam will receive two-fifths of Jacob's share of the reward, he promises. His share of the prize is 37. She sets up the following to determine what portion of the award she will receive: 2/5×3/7=? What fraction will she get?

Answer: 6/35

Miriam's share is two-fifths (2/5) of Jacob's share, and Jacob's share is three-sevenths (3/7) of the total prize. To find what fraction Miriam will get, multiply these two fractions together. Multiply the numerators (2 × 3 = 6) and the denominators (5 × 7 = 35) to get the resulting fraction 6/35.

What fraction of the original whole pizza will each slice be when 1/3 of a pizza is divided into 4 equal slices?

Answer: 1/12

When 1/3 of a pizza is divided into 4 equal slices, you are essentially finding 1/4 of that 1/3 portion. To calculate this, multiply the fractions: (1/3) × (1/4). Multiplying the numerators (1 × 1) gives 1, and multiplying the denominators (3 × 4) gives 12. Thus, each slice will be 1/12 of the original whole pizza.

There are eight marbles in each of the first n columns. What is the value of n if we want 72 marbles total?

Answer: 9

The problem states there are 8 marbles in each of 'n' columns, totaling 72 marbles. This can be represented by the equation 8 × n = 72. To find the value of 'n', divide the total number of marbles by the number of marbles per column. So, n = 72 ÷ 8, which means n = 9.