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Ratling [72]
3 years ago
8

In a volcano, erupting lava flows continuously through a tube system about 20 kilometers to the sea. Assume a lava flow of 0.5 k

ilometer per hour and calculate how long its takes to reach the sea.
Mathematics
1 answer:
butalik [34]3 years ago
3 0

Answer:

40 hours

Step-by-step explanation:

Lets take "x" as the # of hours it takes the lava to reach the sea

since there is a lava flow of 0.5 kilos per hour

we will multiply "x" with 0.5

0.5x

now the tube system is 20 kilometers long

this means that at a rate of 0.5 kilos per hour the lava will reach the sea once it is 20 kilometers deep

so

0.5x=20

divide "0.5" by both sides to eliminate the coefficient

\frac{0.5x}{0.5} =\frac{20}{0.5}

x=40

it will take 40 hours for the lava to reach the sea

Hope this helps!

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Answer:

x + 3y = 7 , x - 3y = 7 : y = , x = 7

Step-by-step explanation:

\left[\begin{array}{ccc}x + 3y = 7\\x - 3y = 7\end{array}\right]

Isolate x for x + 3y = 7 : x = 7 - 3y:

Substitute x = 7 - 3y:

\begin{bmatrix}7-3y-3y=7\end{bmatrix}

Isolate y for 7 - 3y - 3y = 7 : y = 0:

For x =7-3y

Substitute y = 0

x=7-3 * 0

7 - 3 * 0 = 7

x = 7

The solution to the system of equations are:

y=0,\:x=7

Hope I helped. If so, may I get brainliest and a thanks?

Thank you. Have a good day! =)

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