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Jobisdone [24]
3 years ago
14

Jamal filled his gas tank and then use 7/16 of the tank for traveling to visit his grandfather. He then used 1/3 of the remainin

g gas in the tank to run errands around town. What fraction of the tank is filled with gasoline
Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0

Answer:

The fraction of the tank is filled with gasoline is \frac{3}{8}.

Step-by-step explanation:

Consider the provided information.

Jamal filled his gas tank and then use 7/16 of the tank for traveling to visit his grandfather.

After his first traveling the amount of gas left can be calculated as:

1-\frac{7}{16}

\frac{16-7}{16}

\frac{9}{16}

He then used 1/3 of the remaining gas in the tank to run around town.

That means he left with 2/3 of gas.

\frac{9}{16}\times \frac{2}{3}

\frac{3}{8}

Hence, the fraction of the tank is filled with gasoline is \frac{3}{8}.

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6 0
3 years ago
Please help this is almost due soon!
PolarNik [594]

Answer:

6\pi

Step-by-step explanation:

The area of the circumference of a circle is:

C=2\pi r

We know that r is 8, so we can plug that into the formula.

However, there's a problem.  We only want 3pi/4 of the circumference, not the entire circle's circumference.  Therefore, we have to divide by part/whole.  In this case, the part is 3pi/4, and the whole is 2pi (the entire circle is 2pi radians).

C = (\frac{3\pi/4}{2\pi})*(2\pi *8)\\C = (\frac{3}{8})(16\pi)\\C = \frac{48\pi }{8} \\C = 6\pi

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