105² - 8² = (105-8)(105+8) = 97 * 113
Answer:
C. Four less than the product of two and a number is less than the product of four and the same number increased by eight.
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Converting expressions to word form
Step-by-step explanation:
<u>Step 1: Define</u>
2x - 4 < 4x + 8
<u>Step 2: Translate</u>
"2x" is the product of two and a number <em>x</em>
" - 4" is four less
"<" is less than
"4x" is the product of four and a number <em>x</em>
" + 8" is increased by 8
<u>Step 3: Combine</u>
The difference between the product of two and a number <em>x</em> and 4 is less than the sum of the product of four and a number <em>x</em> and 8.
<u>Step 4: Reword</u>
Four less than the product of two and a number is less than the product of four and the same number increased by eight.
The diameter can be obtained by the formula A = pi*r^2
First, multiply 0.50 * 100 to obtain the area of the ball, then simplify and solve for the radius. Doubling the radius would yield the diameter. This is shown below:
Area of the ball = 0.50 * 100 = 50 in^2
<span>A = pi*r^2
</span>50 = (3.14)*r^2
r = 3.99 = approx. 4
diameter = 2r
Diameter = 8 inches.
Among the choices, the correct answer is C. 8.0 in.
Here you go, hope it helps:)
<span>Outcome Bag of Gold Magic Wand
Relative frequency 0.32 0.68
</span><span>The relative frequency of getting a bag of gold is .......... reasonably close
</span>
.32 is close to 30% so
<span>Alison's claim about the theoretical probability is likely to be 2............true
Further, this means that the theoretical probability of getting a magic wand is most likely 3............1 - 30% = 70%</span>
