Y = 5(x-3)/3
To find this, set up the equation as so:
3y/5 + 3 = x
Then, proceed to solve the two-step equation:
3y/5 = x - 3
3y = 5 (x - 3)
y = 5 (x - 3) / 3
Hope this helps!
Each of the problems asks you to a similar idea: get a common denominator with the fractions and then subtract.
Problem 1: 28 3/8 - 19 5/6
The factors of 8 are 2, 2, and 2. The factors of 6 are 2 and 3. We take one two that's repeated, two more twos from 8, and a 3 for the common denominator. So, 2 * 2 * 2 * 3 = 24 is the lowest common denominator (LCD).
Now change the fractions to the common denominators
3/8 = ? / 24 We go from 8 to 24 multiplying by 3, so 3 multiplied by 3 is 9.
5/6 = ? / 24 We go from 6 to 24 multipling by 4, so 5 multiplied by 4 is 20.
Then,
28 3/8 - 19 5/6
= 28 9/24 - 19 20/24 <----use common denominators
= 27 33/24 - 19 20/24 <--- borrow from the whole number
= 8 13/24 <---- subtract whole numbers and fraction numerators
Problem 2 works similarly to problem 1, with an LCD of 15.
18 2/5 - 9 13/15
= 18 6/15 - 9 13/15
= 17 21/15 - 9 13/15
= 8 8/15
Thus the differences are 8 13/24 (1st) and 8 8/15 (2nd).
Make x the subject
2x = -3y + 1
5x = -2y -3
now times the answers to get the lcd
(2x = -3y + 1) x 5
10x = -15y + 5
(5x = -2y -3) 2
10x = -4y -6
now that they are equal to the same number:
-15y + 5 = -4y -6
-15y + 4y = -6 -5
-11y = -11
y = 1
now to find x we substitute y
2x = -3y + 1
2x = -3(1) + 1
2x = -3 + 1
2x = -2
x = -1
If the height is 6ft then the base is 13ft.
78/6=13
Hope this helps.
Answer:
4.5
Step-by-step explanation:
