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Ilya [14]
3 years ago
9

Carlos has 4 fifths of a tank of fuel in his car. He uses 1 tenth of a tank per day. How many days will his fuel last?

Mathematics
2 answers:
AnnyKZ [126]3 years ago
7 0
8 days because 4/5 = 8/10 and he is using 1/10 a day.
kykrilka [37]3 years ago
4 0
4 fifths and 1 tenth can be represented as fractions.

4/5 and 1/10

To find out how much he uses per day, we must subtract 4/5 from 1/10. BUT, before we do that, we must create a common denominator.

1/10 cannot be reduced, but 4/5 can be multiplied by 2 to make 8/10.

Now we can perform our equation:

8/10 - 1/10 = 7/10

He would have 7/10 of gas left after one day. If this went on, his fuel would last for 8 total days.

 


 

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3 years ago
The common ratio of a geometric series is \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction and the sum of the first
myrzilka [38]

Answer:

The common ratio of a geometric series is \dfrac14

4

1 ​

start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170

The first term is 128

Step-by-step explanation:

The common ratio of the geometric series is given as:

r =  \frac{1}{4}

The sum of the first 4 term is 170.

The sum of first n terms of a geometric sequence is given b;

s_n=\frac{a_1(1-r^n)}{1-r}

common ratio, n=4 and equate to 170.

\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170

\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170\\\\ \frac{255}{256} a_1 = \frac{3}{4}  \times 170\\\\\frac{255}{256} a_1 = \frac{255}{2}  \\\\\frac{1}{256} a_1 = \frac{1}{2}  \\\\ a_1 = \frac{1}{2}   \times 256\\\\a_1 = \frac{1}{2}   \times 256 \\\\= 128

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3 years ago
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Answer:

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Step-by-step explanation:

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HOPE THIS HELPED! <33 .

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