Step-by-step explanation:
The gcf of 30 and 45 is 15.
The Lcm of 3 and 8 is: 24
E = expresso
m = muffins
2e + 3m = 10.....multiply by -2
4e + 2m = 12
----------------
-4e - 6m = -20 (result of multiplying by -2)
4e + 2m = 12
------------------add
-4m = -8
m = -8/-4
m = 2....so muffins cost $ 2 a piece <===
4e + 2m = 12
4e + 2(2) = 12
4e + 4 = 12
4e = 12 - 4
4e = 8
e = 8/4
e = 2......so expresso's cost $ 2 a piece <===
There is not enough Information.
Answer:
Infinite amount of solutions
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>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -2x + 4
2x + y = 4
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + (-2x + 4) = 4
- Combine like terms: 4 = 4
Here we see that 4 does indeed equal 4.
∴ the systems of equations has an infinite amount of solutions.
Solution
Step 1
Write an expression for the area of sector
Where
θ = 52°
π = 3.14
r = 8cm
Step 2
Find the area of the sector after substitution of values into the formula above.
To the nearest tenth the area of the shaded sector of circle C = 29.0cm²
