At Fairview middle school 75 band members need to raise a total for a trip of $8,250 for a trip so far they have raised $3,120 h

Solution:

Let x be the distance in miles from the house to the theater.

Total time taken for the trip

Then average speed

Terrence walks at a speed of 2 miles per hour to the theater and returns home at 40 miles per hour.

Thus, Average Speed mi/hr

Both average speeds must be equivalent. Hence, we can express this as:

Consequently, the distance from home is 13.125 miles.

Answer:

We will mix 2.4 mL of water with 0.6 mL of the coloring solution.

The total solution volume amounts to 2.4 + 0.6, which equals 3 mL.

Therefore,

0.6 mL of coloring solution now contains 2.4 mL of water.

Alternatively,

1 mL of this coloring solution comprises 4 mL of water.

Thus,

We should prepare 3 mL of the coloring solution with the resultant water.

This 3 mL mixture will encapsulate 0.6 mL of the coloring solution.

Step-by-step explanation:

As stated:

The formula requires 0.6 mL of a coloring solution.

Using a 10-mL graduated cylinder that is divided from 2 to 10 mL in 1-mL increments:

We aim to apply the aliquot method to accurately measure 0.6 mL of the coloring solution.

Given that the graduated cylinder measures from 2mL to 10mL only, we'll blend 2.4 mL of water with 0.6 mL of coloring solution.

Thus, the total solution volume is 2.4 + 0.6, resulting in 3 mL.

Consequently,

This implies that 0.6 mL of coloring solution now carries 2.4 mL of water.

Additionally,

1 mL of coloring solution encapsulates 4 mL of water.

Hence,

We will quantify 3 mL of the final solution, which contains 0.6 mL of coloring solution.

Option C is correct. Step-by-step explanation: We need to identify which options are equivalent to 7/3. By evaluating each option: Option A: 9/49 is incorrect as it cannot be further simplified to yield multiples adequate to match. Option B: 18/42 reduces to 3/7, which does not equal 7/3, hence, incorrect. Option C: 42/18 divides down to 7/3, marking it as the correct choice. Option D: 49/9 also cannot be simplified to produce valid multiples.

When a figure or shape undergoes dilation, its size either increases or decreases while maintaining its original shape.

After dilation, the shape remains similar to the initial figure.

If the dilation scale factor exceeds 1, the figure enlarges.

Conversely, if the scale factor is between 0 and 1, the shape contracts, meaning its dimensions diminish.

Therefore, from the provided options → It retains the same shape as the original but at a reduced size.

Response:

c on ed

Detailed breakdown: