Answer:
Options A, B and C are CORRECT PROPORTIONS
Step-by-step explanation:
Option A
3:5 = 6:10
The LHS must equal the RHS
3:5 is in it's lowest term.
6/10 will be in it's lowest term by dividing the numerator and denominator by 2.
6/10 = 3/5
Option B
3/6 and 5/10.
Diving 3/6 fractions by 3
= 1/2
Dividing 5/10 fraction by 5
= 1/2
Option C
Dividing 6/3 by 3 = 2
Dividing 10/5 by 5 = 2
Thats how you work through equivalent proportional fractions
Answer:
25y
Step-by-step explanation:
y×25=25y
Answer:
90 days
Step-by-step explanation:
Let the rate per day for the 30 days period be x
Given that the rate drops to 1/3 of the rate used in 30 days period, it means that the new rate
= 1/3 x
If at a rate of x, the full tank runs for 30 days
at a rate of 1/3 x, the full tank would run for
= x/ (1/3 x) * 30 days
= 3 * 30 days
= 90 days
At the new rate, the full tank of oil will last for 90 days
Comment.
9A
Let's use (a) as an example. What number is in front of the x inside be brackets? If I gave you the choice of 1,2,3,4,5 which number is it out of those 5?
If you chose 5, you have the second best answer. You are reading outside the brackets. Not what we need.
If you choose 1, you are well on your way. There is a 1 beside the x.
Now go to the outside of the brackets. What's in front of the x? 1,2,3,4,5.. There is only one number you can choose. It's a 5. So the result outside the brackets is 5x. How did 1x become 5x? You had to put a 5 on the blank to the left of the brackets..
5(5 + x) = 5x + ___ What goes on the line to the right of 5x? Rule whatever you do to one side of a plus sign inside the brackets, you must do to the other side of the plus sign.
It becomes 5*5
So the blank is filled with 25. And here's the answer.
5(5 + x) = 5x + 25 <<<< answer..
Stop don't do anything more. 5x and 25 are not like terms. They don't mix
9B
Let's make this one brief so that you have something to do. What did you multiply 5 by to get 10? You should answer 2.
2(x + 5) = ___ x + 10
What you do on one side of the plus sign, you must do on the other. So what's in front of the x on the right?
2(x + 5) = 2x + 10 <<<< answer
1,2,7,14 would be your answer :)
