Answer:
x = 11.33 years
Step-by-step explanation:
The equation for rainbow smelt is Y1 = −19.76x + 227
For bloater fish, the equation is Y2 = –92.57x + 1052
To find where these populations are equal:
–19.76x + 227 = –92.57x + 1052
Combine like terms:
-19.76x + 92.57x = 1052 - 227
72.81x = 825
Now divide by 72.81:
x = 825 / 72.81
Thus,
x = 11.33 years
Answer:
10,088 pounds
Step-by-step explanation:
Provided data
103 bushels of apples
102 bushels of grapes
101 bushels of oranges
With the respective weight per bushel:
Apples = 32 pounds
Grapes = 25 pounds
Oranges = 42 pounds
The total weight can be calculated by summing the products of each type:
Total Weight: 103(32) + 102(25) + 101(42) = 10,088 pounds
Let
s--------> denote the cube's side length
We know that
the volume of a cube is calculated as
if the side length s measures 
then
and thus, the volume is defined as
This leads us to conclude
the correct option is
D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.
Complete question;
A booster club financed pizzas for an end-of-season celebration. The cost was $13 for each pepperoni pizza and $11 for each plain pizza. They purchased a
total of 18 pizzas for the event, totaling $212.
Organize the numbers into an equation that represents this scenario with x being the number of pepperoni pizzas and y being the number of plain pizzas purchased.
Answer:
13x + 11y = 212
Step-by-step explanation:
Two varieties of pizza were purchased: pepperoni and plain. The pepperoni variety cost $13 each while the plain one cost $11 each. In total, they bought 18 pizzas.
The overall expenditure on the pizzas was $212.
total number of pizzas = 18
total amount spent on pizzas = $212
x represents the number of pepperoni pizzas
y represents the number of plain pizzas
The cost of the pepperoni pizzas is derived by multiplying the number of pizzas by their individual price. The same calculation applies for the plain pizzas.
Therefore, by summing the costs of both pizza types, we arrive at the total price for the pizzas.
13x + 11y = 212
Given
The daily average balance is $15.
The daily periodic interest rate = 0.06%.
The cycle consists of 30 days.
Calculate the monthly finance charge.
To justify:
Let’s denote the monthly finance fee as x.
According to the details provided:
The average daily balance = $15.
The daily periodic rate = 0.06%,
First, we convert 0.06% to decimal:
= 0.0006.
Daily finance charge = 0.0006 multiplied by 15.
= 0.009.
The number of days in the cycle totals 30.
Now, calculating the monthly finance charge:
The equation becomes:
x = 15 × 0.0006 × 30.
x = 0.009× 30.
x = $0.27.
Thus, the monthly finance charge amounts to $0.27.
Thus proved.
