Ariza paid $13.50 for 10 bottles of juice. Each bottle costs the same price. What is the price of one bottle of juice? (1 point) Responses $0.14 $0.14 $3.50 $3.50 $0.74 $0.74 $1.35 $1.35

11 answers

To find the price of one bottle of juice, you can divide the total cost by the number of bottles.

Ariza paid $13.50 for 10 bottles of juice:

\[ \text{Price per bottle} = \frac{\text{Total cost}}{\text{Number of bottles}} = \frac{13.50}{10} = 1.35 \]

So, the price of one bottle of juice is $1.35.

Suresh makes 100 pieces of costume jewelry to sell to his classmates. Each piece costs him $1.55 to make. How much does it cost Suresh to make all 100 pieces? (1 point) Responses $15.50 $15.50 $0.15 $0.15 $0.06 $0.06 $155.00 $155.00

To find the total cost for Suresh to make all 100 pieces of costume jewelry, you can multiply the cost per piece by the number of pieces.

The cost to make one piece is $1.55, and he makes 100 pieces:

\[ \text{Total cost} = \text{Cost per piece} \times \text{Number of pieces} = 1.55 \times 100 = 155.00 \]

So, it costs Suresh $155.00 to make all 100 pieces.

Andre is a fan of the Texas Rangers minor league baseball team. He computed the batting averages for each player. He listed in the chart the five players with the highest batting averages for the 2013 season.
Jeffrey Baker: 0.279
Adrian Beltre: 0.315
Joey Butler: 0.333
Craig Gentry: 0.280
Alexis Rios: 0.28
Which statements about the data are true? Check the three that apply. (3 points) Responses Adrián Beltré’s batting average was higher than Jeffrey Baker’s. Adrián Beltré’s batting average was higher than Jeffrey Baker’s. Craig Gentry and Alexis Rios had the same batting average Craig Gentry and Alexis Rios had the same batting average Jeffrey Baker had the second highest batting average. Jeffrey Baker had the second highest batting average. Joey Butler had the highest batting average. Joey Butler had the highest batting average. Jeffrey Baker’s batting average was higher than Alexis Rios’s.

Let's analyze the batting averages provided in the chart:

  1. Jeffrey Baker: 0.279
  2. Adrian Beltre: 0.315
  3. Joey Butler: 0.333
  4. Craig Gentry: 0.280
  5. Alexis Rios: 0.280

Now, we can assess each statement:

  1. Adrián Beltré’s batting average was higher than Jeffrey Baker’s.

    • True (0.315 > 0.279)
  2. Craig Gentry and Alexis Rios had the same batting average.

    • True (Both have a batting average of 0.280)
  3. Jeffrey Baker had the second highest batting average.

    • False (Jeffrey Baker has a batting average of 0.279, which is lower than both Adrian Beltre and Joey Butler.)
  4. Joey Butler had the highest batting average.

    • True (Joey Butler has a batting average of 0.333, which is the highest.)
  5. Jeffrey Baker’s batting average was higher than Alexis Rios’s.

    • False (Jeffrey Baker has 0.279, which is lower than Alexis Rios’s 0.280.)

Based on this analysis, the three true statements are:

  1. Adrián Beltré’s batting average was higher than Jeffrey Baker’s.
  2. Craig Gentry and Alexis Rios had the same batting average.
  3. Joey Butler had the highest batting average.
Four swimmers competed in the 100-meter freestyle. Their times were 68.92 seconds, 72.3 seconds, 73.2 seconds, and 69.15 seconds. If the lowest number represents the person who came in first, what was the time of the person who came in third place? NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. (1 point) Responses 68.92 seconds 68.92 seconds 72.3 seconds 72.3 seconds 69.15 seconds 69.15 seconds 73.2 seconds

To determine the time of the person who came in third place, we first need to arrange the swimmers' times in ascending order:

  1. 68.92 seconds (1st place)
  2. 69.15 seconds (2nd place)
  3. 72.3 seconds (3rd place)
  4. 73.2 seconds (4th place)

From this order, we see that the swimmer who came in third place had a time of 72.3 seconds.

In 1900, there was an Olympic underwater swimming event. The score was calculated by giving one point for each second the swimmer stayed underwater, and two points for each meter that the swimmer traveled. Charles de Vendeville from France earned a gold medal by staying underwater 68.4 seconds while traveling 60.2 meters. How many points did Charles de Vendeville earn to place first? Express the answer to the nearest tenth of a point. NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. (1 point) Responses 188.8 points 188.8 points 197.0 points 197.0 points 128.6 points 128.6 points 257.2 points

To calculate the total points Charles de Vendeville earned, we can use the scoring system provided:

  1. Points for staying underwater: He stayed underwater for 68.4 seconds, earning 1 point for each second:

    • Points for time: \( 68.4 \) points
  2. Points for distance traveled: He traveled 60.2 meters, earning 2 points for each meter:

    • Points for distance: \( 60.2 \times 2 = 120.4 \) points

Now, we add both point totals together to find the overall points earned:

\[ \text{Total points} = \text{Points for time} + \text{Points for distance} = 68.4 + 120.4 = 188.8 \text{ points} \]

Therefore, Charles de Vendeville earned 188.8 points.

Which situation results in a change that could be modeled by a negative number? NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. (1 point) Responses a change in elevation from 632 feet to 312 feet a change in elevation from 632 feet to 312 feet a change in elevation from 492 feet to 783 feet a change in elevation from 492 feet to 783 feet a change in elevation from –12 feet to 123 feet a change in elevation from –12 feet to 123 feet a change in elevation from sea level to 87 feet

In the context of changes in elevation, a negative number would typically represent a decrease in elevation.

Let's analyze the given options:

  1. A change in elevation from 632 feet to 312 feet:

    • This is a decrease. (632 - 312 = 320 feet down, modeled by a negative number)
  2. A change in elevation from 492 feet to 783 feet:

    • This is an increase. (783 - 492 = 291 feet up, not modeled by a negative number)
  3. A change in elevation from –12 feet to 123 feet:

    • This is an increase (from below sea level to above sea level), but the change itself is positive. (123 - (-12) = 135 feet up, not modeled by a negative number)
  4. A change in elevation from sea level to 87 feet:

    • This is an increase (from 0 feet to 87 feet), not modeled by a negative number.

The only situation where the change can be modeled by a negative number is:

  • A change in elevation from 632 feet to 312 feet.

So this is the correct choice.