Answer:
$5.5
Step-by-step explanation:
6 * N (notebook) + 3 * P (pen) = 27
n = 1.5 +P
6 * (1.5 + P) + 3 * P = 27
9 +6p +3p = 27
9p = 18
p (pen): $2
N (notebook): $3.5
combined cost of 1 pen and 1 notebook: $2 + $ 3.5 = $ 5.5
Answer:
15 = x
Step-by-step explanation:
Answer:
9 Quarters
8 Dimes
3 Nickels
Step-by-step explanation:
We let the number of quarters be q
number of dimes be d
and
number of nickels be n
Since quarters are worth 0.25, dimes are worth 0.10 and nickels are worth 0.05 and total worth is 3.20, we can write an equation as:
0.25q + 0.10d + 0.05n = 3.20
Next,
3 times as many quarters as Nickels, we can write:
q = 3n
and
5 more dimes than nickel, we can write:
d = n + 5
Substituting these last 2 equations in the first and solving for n gives us:
0.25q + 0.10d + 0.05n = 3.20
0.25(3n) + 0.10(n+5) + 0.05n = 3.20
0.75n + 0.10n +0.5 + 0.05n = 3.20
0.9n = 2.70
n = 2.70/0.9 = 3
n = 3
We know q = 3n, so
q = 3(3) = 9
Also, we know d = n + 5, which means:
d = 3 + 5 = 8
Thus,
There are:
9 Quarters
8 Dimes
3 Nickels
To answer this, we need the original equation.
Answer:
m = 6
Step-by-step explanation:
4m + 2(8) = 5(8) (Given)
4m + 16 = 40 (Simplify)
4m + 16 - 16 = 40 - 16 (Subtraction Property of Equality)
4m = 24 (Simplify)
(Division Property of Equality)
m = 6 (Simplify)
