8x+5y=-13 3x+4y=10 solve
2 answers:
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So, in 4 days, the lake lost 3.5 liters, and you need to solve for how many were lost each day.
There are two ways to do this; one involves writing an equation, the other does not. It pretty much just depends what your teacher expects from you.
The easiest way is to simply divide 3.5 by 4; this will tell you how many liters were lost each of those four days.
The other way does the same thing, but a little more algebraically...
3.5 liters per day were lost- this can be written as a ratio: 3.5 liters/ 4 days.
You need to solve for x liters/ 1 day.
Since these are equivalent, you set them equal to each other:
From here, you can cross multiply to get 3.5=4x
Then simply divide both sides by 4 (to isolate the variable) and you get 1.5=x.
Since the variable x represented the number of liters lost in 1 day, you can write your answer as 1.5 liters.
So, the simple answer is: the average change in the water volume each day was 1.5 liters.
There are two ways to do this; one involves writing an equation, the other does not. It pretty much just depends what your teacher expects from you.
The easiest way is to simply divide 3.5 by 4; this will tell you how many liters were lost each of those four days.
The other way does the same thing, but a little more algebraically...
3.5 liters per day were lost- this can be written as a ratio: 3.5 liters/ 4 days.
You need to solve for x liters/ 1 day.
Since these are equivalent, you set them equal to each other:
From here, you can cross multiply to get 3.5=4x
Then simply divide both sides by 4 (to isolate the variable) and you get 1.5=x.
Since the variable x represented the number of liters lost in 1 day, you can write your answer as 1.5 liters.
So, the simple answer is: the average change in the water volume each day was 1.5 liters.
Answer:
The length of PQ is <u>18</u> feet.
The length of PR is <u>18</u> feet.
The length of QR is <u>24</u> feet.
Step-by-step explanation:
A way to set an equation up for this problem is:
where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.
Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:
Don’t solve the whole equation, just solve the part of the equation, which is equal to 24. So the final equation is this:
Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).
Sorry for the long explanation.
But hope this helps and answers your question :)