Answer:
a = 180 - b - c
Step-by-step explanation:
given 180 = a + b + c or
a + b + c = 180 ( isolate a by subtracting b from both sides then c )
subtract b from both sides
a + c = 180 - b
subtract c from both sides
a = 180 - b - c
Answer:
The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number?
the number is 2.409
Step-by-step explanation:
based on the question;
let the number N
1/6 of N = (1/6)N
21/2 of N = ( 5/2)N
now, the sum of a number (N) 1/6 of that number(1/6)N , (5/2)N and 7 will be expressed as
N + ( 1/6)N + (5/2)N + 7 = 12 1/2
N + N/6 + 5N/2 + 7 = 25/2
find the lcm of the equation
we have;
(6N + N +15N + 42)/6= 25/2
(22N + 42)/6 = 25/2
Using cross multiplication we have
44N + 84 = 150
Collecting the like terms
44N = 150- 84
44N = 106
Divide both sides by 44
44N/44= 106/44
N = 2.409
Answer:
(x, y) = (3, 1)
Step-by-step explanation:
given the 2 equations
2x + 3y = 9 → (1)
x + 5y = 8 → (2)
multiplying (2) by - 2 then adding to (1) will eliminate the term in x
multiply (2) by - 2
- 2x - 10y = - 16 → (3)
add 1(1) and (3) term by term
(2x - 2x) + (3y - 10y) = (9 - 16)
- 7y = - 7 ( divide both sides by - 7 )
y = 1
Substitute y = 1 in either (1) or (2) and solve for x
(1) : 2x + 3 = 9 ( subtract 3 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Solution is (3, 1 )
The given ratios 3: 5 and 15: 25 are equal. Because when you divide the ratio 15: 25 by 5 on both numerator and denominator, the first ratio 3: 5 can be obtained. Similarly, when you multiply the first ratio 3: 5 by 5, the ratio 15: 25 can be obtained.
