Answer:
1/15 of their time is free time.
Step-by-step explanation:
To find the answer to this 2-step problem, we have to add all the fractions up, then find how much of that time is not part of the fraction.
So to add all the fractions, you have the equation:
1/4 + 3/5 + 1/12
The first thing we have to do is to find a common denominator.
4, 5, and 12 are each able to multiply into 60.
So we can make the equation now with a common denominator.
15/60+36/60+5/60=56/60.
We now can simplfy this.
56/60=14/15
Now that we know how long it is to do all the other activities, it tells us that the rest of the time is free time. To find the rest of the time, we have to do:
1-14/15=1/15
So 1/15 of their time is free time.
Answer:
x = 10
Step-by-step explanation:
2x/3 + 1 = 7x/15 + 3
<em><u>(times everything in the equation by 3 to get rid of the first fraction)</u></em>
2x + 3 = 21x/15 + 9
<em><u>(times everything in the equation by 15 to get rid of the second fraction)</u></em>
30x+ 45 = 21x + 135
<em><u>(subtract 21x from 30x; subtract 45 from 135)</u></em>
9x = 90
<em><u>(divide 90 by 9)</u></em>
x = 10
<h2>
Another solution:</h2>
2x/3 + 1 = 7x/15 + 3
<u><em>(find the LCM of 3 and 15 = 15)</em></u>
<u><em>(multiply everything in the equation by 15, then simplify)</em></u>
10x + 15 = 7x + 45
<u><em>(subtract 7x from 10x; subtract 15 from 45)</em></u>
3x = 30
<em><u>(divide 30 by 3)</u></em>
x = 10
Answer:
i think its b but im not 100 percent sure...
Step-by-step explanation:
3/4
Step-by-step explanation:
If you cut a whole pie into two you get two (2) ½ pieces
1 ÷ 2 = ½
When you cut the two ½ pieces into two you get four (4) ¼ pieces;
½ ÷ 2 = ¼
When you cut the four ¼ pieces into two you get 8 1/8 pieces;
¼ ÷ 2 = ¹/8
Therefore the whole pie at this point is made up of 8 ¹/8 pieces. When two (2) of these pieces are eaten we are left with 6 ¹/8 pieces;
8 – 2 = 6
The portion of the pie left therefore is;
6 * ¹/8 pieces
= ⁶/8
= ³/4
An=Asub1(r)n-¹
=5(-2)7-¹
=5(64)
A7=320
