Answer:
-20/13 <g
Step-by-step explanation:
-7–5(3g+8)<10g–7+g
Distribute
-7–15g-40<10g–7+g
Combine like terms
-15g - 47 < 11g -7
Add 15 g to each side
-15g+15g -47< 11g+15g -7
-47 < 26g -7
Add 7 to each side
-47+7 < 26g-7+7
-40 < 26g
Divide each side by 26
-40/26 <26g/26
-40/26 <g
Divide top and bottom by 2
-20/13 <g
Let the ratio between 2 of them be a/b. The volume of the larger one is x (ft^3)
<span>(a/b)^2 = 20/45 = 4/9 ---> a/b = 2/3 </span>
<span>(a/b)^3 = 8/x </span>
<span>8/x = (2/3)^3 = 8/27 ---> x = 27 (ft^3) </span>
Number of boys in the gym class = 12
Number of girls in the gym class = 10
then
Ratio of boys to ratio of girls = 12:10
= 6:5
Now
Number of boys joining the gym class later = 6
So after the new boys join the number of boys in the gym class becomes = 18
The ratio of boys to girls have to remain the same
Let us assume that the number of girls that need to join the gym class = x
Then
6/5 = 18/(x + 10)
6(x + 10) = 18 * 5
6x + 60 = 90
6x = 90 - 60
6x = 30
x = 30/6
= 5
So the number of girls that need to join the gym class to keep the ratio same is 5. I hope the procedure is clear enough for you to understand.
Answer:
Acre of land = 43,560 sq feet
(1/8) 43,560 = 5,445 square feet
This has to be divided by 6, each child gets
5,445 /6 of an acre = 907.5 square feet
So each child received one sixth of one eighth of an acre which equals
1/48 of an acre.
PROOF:
43,560 / 48 = 907.5
Step-by-step explanation:
