Answer:
1. 6
2. 24
3. 2/9 × 90 = 20 sixth grade students
4. 2/9 × 27 = 6 sixth grade students
5. 2/9 + 27, 2/9 - 27, 2/9 / 27, 2/9 27
6. 189 students
7. B
8. Jada needs 10 cups of sparkling water if she uses 15 cups of apple juice.
9. Jada needs 9 cups of apple juice if she uses 6 cups of sparkling water.
10. D
11. D
12. C
Step-by-step explanation:
Hope this helps you
The number should be 649392728192
Answer:
44 hours
Step-by-step explanation:
Decreasing the people by a factor of 2 means we have 3 people
The job takes 6* 22 = 132 people hours
When we decrease the people, it will take more hours
132 people hours = 3 people * t hours
Divide each side by 3
132/3 = 3t/3
44 = t
It will take 44 hours
Answer:
20 years old.
Step-by-step explanation:
Let us say that the man's age is represented by <em>x</em> and the son's age is represented by <em>y</em>.
As of now, x = 2y.
In 20 years, both ages will increase by 20. We can have an equation where the son's age increased by 20 equals 2/3 of the man's age plus 20.
(y + 20) = 2/3(x + 20)
Since x = 2y...
y + 20 = 2/3(2y + 20)
3/2y + 30 = 2y + 20
2y + 20 = 3/2y + 30
1/2y = 10
y = 20
To check our work, the man's age is currently double his son's, so the man is 40 and the son is 20. In 20 years, the man will be 60 and the son will be 40. 40 / 60 = 2/3, so the son's age is 2/3 of his father's.
So, the son's present age is 20 years old.
Hope this helps!
