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Tasya [4]
3 years ago
12

A snowstorm produced 5 inches of snow every three hours. How long would it take to produce for feet of snow?

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
6 0
180min x 5in = 48in
36min x 1in = 48in
1728 min = 48 in
28.2 hours
Setler [38]3 years ago
5 0

Answer:

It will take 7.2 hours to produce a feet of snow.

Step-by-step explanation:

To find the time taken it will take to produce feet of snow, we will follow the steps below;

First we will change the feet to inches

I feet = 12 inches

Using proportion;

Lat the time taken to produce a feet of snow be x

5 inches = 3 hours

12 inches  = x

Cross-multiply

5×x = 12× 3

5x = 36 hours

Divide both-side of the equation by 5

\frac{5x}{5}  = \frac{36}{5}

(At the left-hand side of the equation 5 will cancel-out 5 leaving us with just x while at the right-hand side of the equation 36 will be divided by 5)

x = 7. 2 hours.

Therefore, it will take 7.2 hours to produce a feet of snow.

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Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
IRISSAK [1]

Answer:

There is one extraneous solution at x = 4

The only solution is x=7

Step-by-step explanation:

Given:

The equation to solve is given as:

\sqrt{x-3}+5=x

In order to solve, we will first isolate the radical part.

<em>Adding -5 on both the sides, we get:</em>

\sqrt{x-3}+5-5=x-5\\\sqrt{x-3}=x-5

<em>Now, squaring both the sides, we get:</em>

(\sqrt{x-3})^2=(x-5)^2\\\\x-3=x^2+25-10x\\\\x^2-10x-x+25+3=0\\\\x^2-11x+28=0\\\\(x-4)(x-7)=0\\\\x=4\ or\ x=7

Now, let us check whether the calculated values satisfy the equations or not.

Plug in 4 and 7 for 'x' and check the value of the equation.

At x=4,

\sqrt{4-3}+5=4\\\sqrt1+5=4\\1+5=4\\6=4

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Now, at x=7

\sqrt{7-3}+5=7\\\sqrt4+5=7\\2+5=7\\7=7(True)

Therefore, x=7 is a solution to the equation.

Hence, there is one extraneous solution at x = 4

The only solution is x=7

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