1) Which ratio is equivalent to [tex] \frac{4}{16} [tex]?
[tex] \frac{4}{16} * 2 = \frac{8}{32} [tex], or
8:32.
2) Write the ratio as a unit rate [tex] ( \frac{286miles}{5 \frac{1}{2} hours} ) [tex]
Set the equation up like this:
[tex] \frac{286miles}{5 \frac{1}{2} hours} = \frac{Xmiles}{1 hour}\\
286*1=(5 \frac{1}{2})*x\\
286 = \frac{11x}{2}\\
11x= 572 [tex]
x =
52 [tex] \frac{miles}{hour} [tex]
3) Which typing time is fastest? I answered this earlier, refer to it please refer to it:
brainly.com/question/2560190
Answer:
The answer is "0.081"
Step-by-step explanation:
Dimes 
Calculating total coins 
P(for a dime) 
Calculating remaining coins 
Nickels 
P(for nickel draw in second) 
P(for a dime after that a nickel, without replacement)
Answer:
V = 785 cm³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables.</em>
<em>r</em> = 5 cm
<em>h</em> = 10 cm
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Cylinder Formula]: V = (3.14)(5 cm)²(10 cm)
- [Order of Operations] Evaluate: V = 785 cm³
<h3><u>The first number, x, is equal to 7.</u></h3><h3><u>The second number, y, is equal to 2.</u></h3>
x + 2y = 11
2x + y = 16
We can subtract 2y from both sides of the first equation to get a value for x.
x = 11 - 2y
Because we have a value for x, we can plug it into the second equation.
2(11 - 2y) + y = 16
Distributive property.
22 - 4y + y = 16
Combine like terms.
22 - 3y = 16
Subtract 22 from both sides.
-3y = -6
Divide both sides by -3.
y = 2
Now that we have a value for y, we can plug it into either equation to solve for x.
x + 2(2) = 11
x + 4 = 11
Subtract 4 from both sides.
x = 7
