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netineya [11]
4 years ago
15

Ava spends about 45 minutes studying each day. She also practices the piano for an average of 20 minutes per day, and she practi

ces soccer 1.5 hours three times a week. If Ava decides to reduce the time she does each activity by 16, find the total number of hours she spends studying and practicing in a year with a reasonable level of accuracy.
Mathematics
1 answer:
Korolek [52]4 years ago
3 0

Answer:

<h2>398.88hours</h2>

Step-by-step explanation:

Note: If Ava decides to reduce the time she does each activity by 16minute I believe it should be

1. Ava spends 45min per day studying

    reduce this amount be 16min we have=45-16=29min

    in a year she will spend 365*29= 10585min

2. She also practices the piano for an average of 20 minutes per day

   reduce this amount be 16min we have=20-16=4min

    in a year she will spend 365*14= 5110min

3. She practices soccer 1.5 hours three times a week.

   in minutes 1.5hours is 90min three times a week

   in a day 90*3/7= 270/7=38.57

    reduce this amount be 16min we have=38.57-16=22.57min

    in a year she will spend 365*22.57= 8238.05min

in total for the year  she spends studying and practicing

=10585+ 5110+8238.05

=23933.05min to hours =23933.05/60

=398.88hours

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mafiozo [28]

Answer:

<h2>a. 10cm</h2><h2>b. 5 cm</h2><h2>c. 31.4 cm</h2><h2>d. 78.5 cm²</h2><h2>e. 100 cm²</h2>

Step-by-step explanation:

Let:

<em>s - </em><em>side of the square</em>

<em>d - </em><em>diameter of the circle</em>

<em>r - </em><em>radius of a circle</em>

<em>C - </em><em>circumeference of the circle</em>

<em>AC - </em><em>area of the circle</em>

<em>AS - </em><em>area of a square</em>

The formula of a perimeter of a square:

<em>P = 4s</em>

We have <em>P = 40cm.</em>

Substitute:

<em>4s = 40              </em><em>divide both sides by 4</em>

<em>s = 10 cm</em>

a.

The length of the diameter of the circle inscribed in the square is equal to the length of the side of the square.

Therefore <em>d = s → d = 10 cm.</em>

b.

The length of the circle diameter is two lengths of the circle radius.

Therefore <em>d = 2r → r = d : 2 → r = 10 : 2 = 5 cm.</em>

c.

The formula of a circumference of a circle:

<em>C = dπ.</em>

Substitute <em>d = 10cm</em>, and <em>π = 3.14.</em>

<em>C = 10(3.14) = 31.4 cm.</em>

d.

The formula of an area of a circle:

<em>AC = πr²</em>

Substitute <em>r = 5cm</em> and <em>π = 3.14</em>

<em>AC = 3.14(5²) = 3.14(25) = 78.5 cm²</em>.

e.

The formula of an area of a square:

<em>AS = s²</em>

Substitute <em>s = 10 cm</em>

<em>AS = 10² = 100 cm²</em>

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Expression:

2a+3b+5+10+4b+6a

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