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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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7 0
3 years ago
The population of a town was 7652 in 2016. The population grows at a rate of 1.6% annually.
Serggg [28]

Answer:

(A) The population's growth rate in equation form is y = (0.016t * 7652) + 7652

(B)  y = (0.016t * 7652) + 7652 =

y = (0.016(8) * 7652) + 7652 =

y = (0.128 * 7652) + 7652 =

y = 979.456 + 7652 =

y = 8631.456 (Or About) 8631

Step-by-step explanation:

(A) Y = the total population of the town. 0.016 is 1.6% just in its original form. T = the year in which were trying to find the town's total population. 7652 is the total population of the town in 2016. With this information, the equation reads, The total population of the town (Y) is equal to 16% (0.016) of the current year's population (T) added to 2016's population of 7652. (This last sentence can also be read what is 1.6% of the towns population in the year were trying to find. Because the population is always growing, 1.6% gets multiplied as to scale with the total population in year T)

(B) We just substitute (T) for 2024, or 8 years after 2016 (2024-2016) and simplify the equation we made.

7 0
3 years ago
The sum of two numbers is 53 and the difference is 27. What are the numbers?
ikadub [295]

Answer:

The numbers are 39 and 14.

Step-by-step explanation:

Equation 1, sum of the numbers:

 

x  +  y   =  53

 

Equation 2, difference of the numbers:

 

x  -  y  = 25

 

System of equations:

 

x  +  y  =  53

x  -  y   =  25

----------------

2x = 78

 

x = 39

 

Solve for y:

 

39  +  y  = 53

 

y  =  14

 

The numbers are 39 and 14.

8 0
3 years ago
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