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nydimaria [60]
3 years ago
12

Without overlapping, how many college basketball courts 94ft x 50ft would fit into a football field 360ft x 160ft?

Mathematics
1 answer:
Volgvan3 years ago
7 0
Area of basketball court: 94 x 50 = 4700 square feet

area of football field: 360 x 160 = 57600 square feet

57600 / 4700 = 12.26

so 12 basketball courts 
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The sum of the number is 103.the second number is 4 times the third.the third number is 5 more then the first .what are the numb
Zigmanuir [339]

Answer:

13, 18, 72

Step-by-step explanation:

let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.

set up an equation, and make it equal to 103:

x-5+x+4x=103

solve:

6x-5=103

6x=108

x=18

so, the third number is 18.

the first number is equal to x-5, so:

18-5=13

the second number is equal to 4x, so:

4(18)=72

so, the three numbers are 13, 18, and 72.

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3 years ago
ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports
iVinArrow [24]

Answer:

He have <u>15</u> action games and <u>24</u> sports games.

Step-by-step explanation:

Given:

Ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports collection.

Now, to find the number of action games and sports games.

Let the sports games be x.

As, given his action collection is three more than half his sports collection.

Thus, the action games = 3+\frac{x}{2} .

Total number of video games = 39.

So, we set an equation to get the number of action games and sports games:

x+(3+\frac{x}{2})=39

x+3+\frac{x}{2} =39

<em>Subtracting both sides by 3 we get:</em>

x+\frac{x}{2} =36

\frac{2x+x}{2}=36

\frac{3x}{2} =36

<em>Multiplying both sides by 2 we get:</em>

3x=72

<em>Dividing both sides by 3 we get:</em>

x=24.

<u>The sports games he have = 24.</u>

Now, to get the action games we substitute the value of x:

3+\frac{x}{2}

= 3+\frac{24}{2}

= 3+12

= 15.

<u>The action games he have = 15.</u>

Therefore, he have 15 action games and 24 sports games.

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