Answer:
c = 360/n
Step-by-step explanation:
From the question, we are told that:
The cost per ounce of a drink, c, varies inversely as the number of ounces, n.
Mathematically this is expressed as:
c ∝ 1/n
Using the constant of proportionality k
c = k/n
Six ounces of the drink costs 60 cents per ounce.
c =60 cents per ounce
n = 6 ounces
Mathematically we have
c = k/n
60 = k/6
Cross multiply to find the constant k
k = 60 × 6
k = constant of proportionality = 360
Therefore, using the mathematically expression "c = k/n" the equation that represents this relationship is
c = 360/n
Answer:
<h3>#1</h3>
<u>Trapezoid</u>
- A = (b₁ + b₂)h/2
- A = (4.8 yd + 29.4 ft)(8 yd)/2 = (14.6 yd)(4 yd) = 58.4 yd²
<h3>#2</h3>
<u>Rectangle</u>
- A = ab
- A = 2 yd * 3.1 yd = 6.2 yd²
<h3>#3</h3>
<u>Equilateral triangle</u>
- A = √3/4a²
- A = √3/4(10²) = 25√3
<h3>#4</h3>
<u>Regular octagon</u>
- A = aP/2
- A = 14.5(12*8)/2 = 696
The <em>correct answer</em> is:
$19,153.26.
Explanation:
She will receive 42% of her average annual salary. This salary was $45,603.
To find 42% of a number, we first convert the percent to a decimal: 42% = 42/100 = 0.42.
Next we multiply this by the number we're taking the percent of:
0.42(45603) = 19153.26.
Answer:
1.3559644*10^-^5
Step-by-step explanation:
From the information given we extract the following data
Total Number of Trials (N) = 191
Required Value (x) = 181 (notice it is not 180 since at that value we have enough passengers)
Odds of success (p) = 0.85
Using the binomial formula for calculating probability, i.e.
Inputting the values
