Let's say each row has x desks and there are y rows.
We then know that x*y =25
We also know that x*2-5=y (number number of rows is five less than twice the number of desks in each row)
So we substitute: x*(x*2-5)=25
putting numbers out of the brackets:
2x*x-5x=25
2x*x-5x-25=0
(2x+5)(x-5)=0 (this bracketing is true: you can check it by expanding it:
2x*x-10x+5x-25
So that means that either x=-2.5which can't be : there can't be a fractional number of benches,
or x=5
so each row has 5 desks and there are 2*5-5 rows, or 5 rows.
Your equation will be y=4x-1 and the intersection point will be (2,9). Hope this helps!
Answer:
The answer is q=-2.
Step-by-step explanation:
You must get q by its self so if you subtract 1 to both sides, you'll get 10=-5q. Now you must divide -5 on both sides to get q by its self. Now, you have -2=q.
13/15 of her allowance was spent in total.
To solve this, you'd need to find the least common denominator (LCD) so that both fractions have the same number on the bottom. In this case, the first number that you could get with 5 and 3 was 15.
Next, you'd have to multiply the numerator by the same amount as the denominator, so that the fractions are proportionate. So, for 1/5, since we had to multiply 5 by 3 to get 15, we'd multiply 1 by 3 as well, giving us 3/15. Doing the same with 2/3, we'd get 10/15.
Then, you add the two fractions together (10/15 + 3/15 = 13/15).
Now, in any other case, you could probably simplify the fraction after you've solved the problem. If we got 12/15 instead of 13/15, then we could simplify that to 4/5, since both 12 and 15 are divisible by 3. But in this case, this is the simplest form of that fraction.
Hope this helped!!!
