You first set up a proportion
16/100 = x/90
then cross multiply 16*90
and 100*x
1440 = 100x
divide each side by 100
1440/100 = 100x/100
100 cancels out on the right side
the answer is
14.4=x
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:
I don't know what inductive reasoning is but, the next two numbers in the pattern are -243 and +729
Step-by-step explanation:
each number is being multiplied by a factor of (-3).
3x - 5 + 2x = 15+ 4x - 5
5x - 5 = 10 + 4x
5x - 5 + 5 = 10 +5 +4x
5x = 4X + 15
5x - 4x = 4x - 4x + 15
x = 15
Answer:
x²-12x+36
Step-by-step explanation:
an expression in the form (a-b)² is expanded to the form a²-2ab+b²
you can also expand it to (x-6)×(x-6) then multiply the first term by the first the outer term by the outer term the inner term by the inner term and the last term by the last term (foil)
the first terms are x and x = x² the outer terms are x and -6 = -6x the inner terms are also x and -6 = -6x
the last terms are 6 and 6 = 36
adding all the four products =
x²-12x+36
