Nina can swim 4 laps in 2 1/3 minutes. At this rate, how many laps can she swim in one minute?

First note the ratio is
7:2 so divide 7 by 2 to get 7/2 = 3.5. Then add 3.5 to 2, yielding the result 5.5

The minimum number of batches Joyce can produce is one.

2(4x-11) = 10

Method 1:
Divide both sides by 2:




Then add 11 to both sides:





Finally divide both sides by 4





Method 2:

Use the distributive property:







Add 22 to both sides:





Then divide both sides by 8

Given: Triangle ABC is rotated 90 degrees counterclockwise and then translated vertically by 3 units to form triangle A'B'C'. To determine: The transformation rule necessary to map each point (x,y) on Triangle ABC to its equivalent point on Triangle A'B'C'. Solution: For a figure that undergoes a 90-degree counterclockwise rotation, the transformation will be defined as: To translate a figure upward by 3 units, the appropriate transformation will be applied afterwards. Hence, when triangle ABC experiences a rotation of 90 degrees counterclockwise followed by a translation of 3 units upward to create triangle A'B'C', the transformation rule will be established accordingly.

<span>9 ten thousandths equals 0.0009, which can be expressed as 9 × 10 to the power of -4</span>