Question

Nadine has started lifting weights for how many minutes per week?

1) 29
2) 58
3) 87
4) 116

Answer 1

Jessica swam increasing distances in a pattern of metric units, culminating at 1.95 km 'on the fifth day based on conversion to micrometers. Mrs. Roth can lift the computer out of the listed items as it's the only object within her 22.5 kg maximum lifting capacity.

Step-by-step explanation:

Pattern Analysis in Sequences

To answer the student's question, we must identify the pattern in the distances Jessica swam each day and predict the distance for the fifth day. The pattern appears to be an increase in distance with each unit one step larger than the previous (kilometers, meters, centimeters, millimeters). This sequence is progressing in metric units: 1 km = 1000 m = 100,000 cm = 1,000,000 mm. Using this pattern, the next logical unit would be micrometers (µm), which are one step smaller than millimeters. To determine the distance for the fifth day, we convert the previous distance of 1,950,000 mm to the next smaller unit (µm) by multiplying by 1,000 (since there are 1,000 micrometers in a millimeter).

The conversion would be:

1. 1,950,000 mm * 1,000 = 1,950,000,000 µm

Therefore, on the fifth day, Jessica would swim 1,950,000,000 µm. Since the student likely needs this value represented in kilometers, we must convert micrometers back to kilometers, knowing that 1 km = 1,000,000,000 µm. By dividing the total micrometers by this conversion factor, we get:

1,950,000,000 µm / 1,000,000,000 = 1.95 km

Now concerning Mrs. Roth's moving situation, to identify the objects she can lift, we must convert all the given weights into kilograms and then determine if they are equal to or less than her maximum lifting capacity of 22.5 kg. The conversion factors we need to remember are: 1 kg = 1,000 g, 1 kg = 100,000 cg, and 1 kg = 1,000,000 mg.

1. Box of books: 23,500 g / 1,000 = 23.5 kg
2. Statue: 2,450,000 cg / 100,000 = 24.5 kg
3. Computer: 2,550,000 mg / 1,000,000 = 2.55 kg
4. Potted plant: 22.55 kg

Based on these conversions, the only object Mrs. Roth can lift that is within her capacity is the computer, weighing 2.55 kg.