Answer: 3/4 is the answer
Answer:
34 nickels, 39 dimes, 78 quarters
Step-by-step explanation:
q = quarters, d = dimes, n = nickels
n = d - 5
q = 2d
.25q + .10d + .05n = 7.55
<em>Plug in the first 2 equations into the third one</em>
.5d + .10d + .05(d - 5) = 7.55
<em>Open up the Parenthesis</em>
.5d + .10d + .5d - .25 = 7.55
<em>Combine Like Terms</em>
.2d - .25 = 7.55-->
.2d = 7.8 -->
d = 39 -->
n = 39 - 5 = 34
q = 2(39) = 78
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = 23°
Opposite Leg = <em>x</em>
Hypotenuse = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [sine]:

- [Multiplication Property of Equality] Isolate <em>x</em>:

- Rewrite:

- Evaluate:

- Round:
