In 3 3/4hours one day in February, it snowed 3 feet in Amarillo. How much snow fell per hour?

Mathematics

1 answer:

irga5000 [103]3 years ago

3 0

Answer:

0.8

Step-by-step explanation:

Given: $3 \frac{3}{4}$ hours one day

To find: How much snow fell per hour?

Solution: To find how much it will snow in an hour, first convert $3\frac{3}{4}$ to a decimal

3.75. Now, divide 3 by 3.75

$\frac{3}{3.75} =$

$3$ ÷ $3.75$

$= 0.8$

So, 0.8 snow will fall per hour

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<h3><u>Question:</u></h3>

Isabella’s rain gauge showed 3 4/5 centimeters (cm) last Tuesday. This Tuesday, the rain gauge showed 5 7/10 centimeters. How many more centimeters of rain fell during the week?

A 9 1/2cm B 8 1/2cm c 2 4/5cm D 1 9/10 cm

<h3><u>Answer:</u></h3>

Option D

$1\frac{9}{10}$ more centimeters of rain fell during this week than last week

<h3><u>Solution:</u></h3>

From given,

$Last\ tuesday = 3\frac{4}{5}\ cm\\\\Convert\ to\ improper\ fraction\\\\Last\ tuesday = \frac{5 \times 3 + 4}{5} = \frac{19}{5}\ cm$

Also given that,

$This\ tuesday = 5\frac{7}{10}\ cm = \frac{10 \times 5 + 7}{10} = \frac{57}{10}\ cm$

<em><u>How many more centimeters of rain fell during the week?</u></em>

$This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19}{5}\\\\This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19 \times 2}{5 \times 2}\\\\This\ tuesday - last\ tuesday = \frac{57-38}{10}\\\\This\ tuesday - last\ tuesday = \frac{19}{10}\\\\Converting\ to\ mixed\ fraction\\\\\rightarrow \frac{19}{10} = 1\frac{9}{10}$