Answer:
x = 7
Step-by-step explanation:
<u>Distribute </u>-
12x − 66 + 15 = 3x + 12
<u>Combine Numbers and Variables</u> -
12x - 51 = 3x +12
<u>Get x on one side (isolate x)</u> -
9x - 51 = 12
9x = 63
<u>Divide 9</u> -
x =7
Answer:
θ = 49.4584°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = ?
Adjacent Leg = 13
Hypotenuse = 20
<u>Step 2: Find Angle</u>
- Substitute in variables [cosine]: cosθ = 13/20
- Inverse Trig: θ = cos⁻¹(13/20)
- Evaluate: θ = 49.4584°
Answer:
60%
Step-by-step explanation:
percentage of men in the choir = (4/11) x 100 = 36.4%
percentage of women in the choir = (7/11) x 100 = 63.6%
Percentage of men in the choir that prefer classical songs = 36.4 x0.25 = 9.1%
Percentage of women in the choir that prefer classical songs = 0.8 x 63.6% = 50.9%
percentage of the choir prefer classical songs = 50.9% + 9.1% = 60%
Answer:
f(-2) = -3
Explanation:
Not sure if those last couple numbers are answer choices, but I'm going to infer that they might be.
Twenty four over the quantity of 3 x minus two in standard form is:
f(x) = <span>24<span>3x−2</span></span>
Since the number in the ( ) = x, plug in for x using f(-2)
<span>24<span>3∗<span>(−2)</span>−2</span></span>
P E {M D} {A S} for where to solve first
Multiply the 3 and (-2):
<span>24<span>−6−2</span></span>
Add -6 and -2:
<span>24<span>−8</span></span>
Divide the rest:
f(-2) = -3
Find the volume of each tank by multiplying the length by the width by the height:
Terry: 14 x 12 x 10 = 1680 cubic cm.
Bob: 13 x 15 x 8 = 1560 cubic cm
Terry’s aquarium is larger and can hold more water.
