Answer:
<h2>There are 13 quarters, 5 nickels and 20 dimes.</h2>
Step-by-step explanation:
Givens
- Max has $5.50.
- He has eight more quarters than he does nickels.
- He had four times as many dimes as he has nickels.
From these statements, we can deduce algebraical expressions to solve the problem. Let's call
quarters,
nickels and
dimes.
(8 more quarters than nickels)
(he has four times as many dimes as he has nickels).
(Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).
Let's replace the first two expressions into the third equation

There are 5 nickels.
Now, we use this value to find the number of quarters

There are 13 quarters.
Also, 
There are 20 dimes.
Therefore, there are 13 quarters, 5 nickels and 20 dimes.
Answer:
The exact value of
sin
(
30
)
sin(30) is
1
2
12.
15
⋅
1
2
15⋅12
Combine
15
15 and
1
2
12.
15
2
152
The result can be shown in multiple forms.
Exact Form:
15
2
152
Decimal Form:
7.5
7.5
Mixed Number Form:
7
1
2
712
Step-by-step explanation:
Answer:
x>-4 x≤-8
Step-by-step explanation:
Answer: The slope is 5
Step-by-step explanation:
n, n + 2, n + 4, n + 6 - four consecutive odd integers
-72 - the sum
The equation:
n + (n + 2) + (n + 4) + (n + 6) = -72
n + n + 2 + n + 4 + n + 6 = -72
4n + 12 = -72 |subtract 12 from both sides
4n = -84 |divide both sides by 4
n = -21
n + 2 = -21 + 2 = -19
n + 4 = -21 + 4 = -17
n + 6 = -21 + 6 = -15
Answer: -21, -19, -17, -15.