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andrey2020 [161]
3 years ago
11

A professional soccer player buys 16 acers of land. he plans to build a house on the land but wants to use 2/8 of the land to pu

t his own soccer field and facility on. how many acres of land will the soccer player need for his soccer field and facility?
Mathematics
1 answer:
elena-s [515]3 years ago
6 0

Answer:

Step-by-step explanation:

The professional soccer player buys 16 acres of land.

He wants to use \frac{2}{8} of the land to put his own soccer field and facility on.

All we have to do is find \frac{2}{8} of 16 acres.

\frac{2}{8} of 16 acres:

\frac{2}{8} * 16 = 4 acres

He will need 4 acres out of the 16 acres for his soccer field and facility.

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Read 2 more answers
An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours
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Find out the  which system of equations could be used to determine the number of hours charged at the day rate (d) and at the night rate (n) .

To proof

As given in the question

Let us assume that the number of hours charged at the day rate = d

Let us assume that the number of hours charged at the night rate = n

An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours of use.

Total working hour in a company including day and night be  12 hours .

than the equation become in the form

d + n = 12

also

An online data base charges $25 an hour during the day

$12.50 an hour at night.

If a research company paid $250 for 12 hours of use.

than the equation becomes

25d + 12.50n = 250

than the two equation are

d + n = 12 , 25d + 12.50n = 250

multiply first by 25 and subtracted  from 25d + 12.50n = 250

25d - 25d + 12.50n - 25n = 250 - 300

12.5 n = 50

n = \frac{50}{12.5}

n = 4hours

put this in the d + n = 12

d + 4 =12

d = 12-4

d = 8 hours

Therefore the number of hours charged at the day rate  is 8 hours  and at the night rate is  4hours .

Hence proved



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