Last week, it rained g inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain that fell this week? g - 0.05 g - 0.05g 0.95g 0.05g (1 - 0.05)g

The correct answers are:

0.95g

g - 0.05g

(1 - 0.05)g

Step-by-step explanation:

Amount of last week's rain = g inches

this week = 5% decrease on last week's amount

5% of last week's amount = 5/100 × g = 0.05g

∴ This week's amount of rain = 0.05g decrease

∴ Amount of rain this week = (Amount of rain last week) - 0.05g

∴ Amount of rain this week = g - 0.05g

This can be simplified by factorizing the common term "g"

g - 0.05g = g(1 - 0.05) = 0.95g

Square Root of 41 to the nearest tenth, means to calculate the square root of 41 where the answer should only have one number after the decimal point.

Here are step-by-step instructions for how to get the square root of 41 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 41 to be:

√41 = 6.40312423743285

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

6.40

Step 3: Round

Round 6.40 so you only have one digit after the decimal point to get the

6.4

To check that the answer is correct, use your calculator to confirm that 6.42 is about 41.

Step-by-step explanation: