Answer:
x = 10
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
- Subtract Property of Equality
<u>Geometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 6
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 8² + 6² = x²
- Exponents: 64 + 36 = x²
- Add: 100 = x²
- Isolate <em>x</em>: 10 = x
- Rewrite: x = 10
Rounding the given dimensions first, we get length = 90 in and width = 40 in.
Then the estimated area of the rectangle is (90 in)(40 in) = 3600 in^2 (answer)
Answer:
Step-by-step explanation:
A line is expressed as y=mx+b where m=slope and b=y intercept. As long as we have two points we can solve the equation of that line.
y=mx+b
For the top line I found two points (5,200) and (30,325)
m=(y2-y1)/(x2-x1)=(325-200)/(30-5)=125/25=5
y=5x+b, using point (5,200) we can solve for b
200=5(5)+b, b=200-25=175 so the line is
y=5x+175
For the bottom line we have points (5,50) and 10,100)
m=(100-50)/(10-5)=50/5=10
y=10x+b, using point (5,50) we have
50=10(5)+b, b=50-50=0 so
y=10x
Answer:
$13.50
Step-by-step explanation:
$54 divided by 4 is $13.50.
1. Divide the amount needed by the weight:
0.5 milligram / 50 pounds = 0.01 milligram per pound.
2. m = 0.01w
3. m = 0.01(10)
4 m = 0.01 x 10
0.1 milligrams
The error was step 1.