Answer:
number of dimes 11 to 14
Step-by-step explanation:
given data
coin = 19
worth no less = $1.30
Nolan nickles = 5
solution
we convert 5 cent to dollars, it will be
5÷100 = $0.05
and
dime is worth 10 cents
so it will be 10 ÷ 100 = $0.1
so we consider here x as the number when nickels.
and we consider y as the number of dimes.
so here we can say
x + y ≤ 19 ..........................1
as here no less than $1.30 combined.
so
0.05 x + 0.1 y ≥ 1.3 ......................2
and
when Nolan has 5 nickels
put x = 5 in eq 1
5 + y ≤ 19
y ≤ 19 - 5
y ≤ 14
and
now we put x = 5 in eq 2
0.05 × 5 + 0.1y ≥ 1.3
0.25 + 0.1y ≥ 1.3
0.1y ≥ 1.3 - 0.25
0.1y ≥ 1.05
y ≥ 10.5
so all possible values for the number of dimes 11 to 14
Answer:
w = 5
Step-by-step explanation:
(3w - 1) ÷ 3 - (2w + 1) ÷ 3 = 1
(Graph, just switch w to x)
First distribute the -3 and the - sign
6x + 24 + 5x - 6
Combine like terms
11x + 18
Since each term contains x, x= 0 is one answer Also as x^2 is a factor it has duplicity 2.
Factoring:-
x^2 (x^2 - 4x + 3) = 0
x^2( x - 3)(x - 1) = 0
so x = 3 and x = 1 are also zeros
Answer:- x = 0 (duplicity 2), x = 1 and x = 3.
