Answer:
m = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Equality Properties
- Combining Like Terms
<u>Geometry</u>
- Complementary Angles - Angles that add up to 90°
Step-by-step explanation:
<u>Step 1: Set Up Equation</u>
<em>The 2 angles must add up to 90°.</em>
(8m + 4)° + 38° = 90°
<u>Step 2: Solve for </u><em><u>m</u></em>
- Combine like terms: 8m + 42 = 90
- Isolate <em>m</em> term: 8m = 48
- Isolate <em>m</em>: m = 6
Answer: 13 cm^3
Step-by-step explanation:
The volume of a rectangular prism is the height*width*length.
3 1/4 as a decimal is 3.25.
Now we can plug in the given values into the formula for the volume.
Therefore, the volume = 3.25 cm * 4 cm * 1 cm
= 13 cm^3
Answer:
13 yds * 32 yds
Step-by-step explanation:
A=area, l=length, w=width
A=w*l
l=6+2w
A=w*(6+2w)
A=6w+2w^2
416=6w+2w^2
416/2=(6w+2w^2)/2
208=3w+w^2
208-208=3w+w^2-208
w^2+3w-208=0
w^2+16w-13w-208=0
w(w+16)-13(w+16)=0
(w-13)(w+16)=0 ==> w+16=0 ==> w=-16, w can't be negative.
w-13=0
<u>w=13</u>
l=6+2w
l=6+2(13)
l=6+26
<u>l=32</u>
Dimensions: 13 * 32
9+x / 3x = 5/6
If you look at it as a proportion, then you can "cross-multiply" it"
(9+x) · 6 = 3x · 5
54 + 6x = 15x
Subtract 6x from each side:
54 = 9x
Divide each side by 9 :
6 = x
