Answer:
x = -45, y = -40
Step-by-step explanation:
Based on the first clue, we find out that
x + 5 = y
5x = 6y + 15
We can re-write the first equation to x = y - 5.
Therefore, the second equation can also be written as 5(y - 5) = 6y + 15
This can be simplified to 5y - 25 = 6y + 15
We can subtract 6y from each side, and add 25 to each side;
5y - 6y = 15 + 25
Therefore, -y = 40
Therefore y = -40.
Now let's plug this back into the original equation, to get : x + 5 = -40
x=-45
Length = 6x - 12
Width = x
Area of a rectangle:
A = length x width
3744 = (x)(6x - 12)
3744 = 6x^2 - 12x
6x^2 - 12x - 3744 = 0
Use the quadratic equation to solve for x. The two solutions end up being 26 and -24. Since length is a scalar measurement, it can only be positive. Thus, the value of x is equal to 26 inches.
Width = 26 inches
Length = 6(26) - 12 = 144 inches
Hope this helps!! :)
Answer:
1. -29/156 2. 38/45 3. 29/45 4. 113/24 or about 4.7 5. 457/1, 914/2, 1371/3
Step-by-step explanation:
3/13 - 5/12 can be simplified to 36/156 - 65/156. Subtract this and you get -29/156
4/9 + 2/5 can be simplified to 20/45 + 18/45. Add this and you get
38/45
5/8 - 2/9 can be simplified to 45/72 - 16/72. Subtract this and you get
29/45
3 1/2 + 2 5/12 can be first made irrational to 7/2 + 29/24. This can be simplified to 84/24 + 29/24
113/24 or about 4.7
Not sure about the 457, but to convert it, you multiply it by whatever denominator you have. For example
1x457 = 457/1
2x457 = 914/2
And finally 3x457 = 1371/3
It is the first choice. All you have to do is isolate A from 2A so you would divide by 2 and get A=bh/2
Answer:
17 and 3/8 inches
Step-by-step explanation:
..............................
(34+3/8)/2=17+3/16
plz....
mark it as a brilliant answer
