Answer:
4 3/8
Step-by-step explanation:
1. We can use the formula
<em>Area = L (length) x W (width)</em>
2. The area is unknown so we can substitute it for<em> a</em>
<em> </em>The length and width are both known, so we can plug them in.
<em>a= 2 1/2 x 1 3/4</em>
3. Solve by multiplying
<em>a=4 3/8</em>
Answer:
(a) This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Step-by-step explanation:
The equation of direct variation is ...
y = kx
for some constant k. Here, we have x in hours and y in dollars. We can see if k is constant for the values given in the table.
__
<h3>constant of variation</h3>
Solving the direct variation formula for k, we have ...
k = y/x
Using the table values, we can see if this is constant:
k = dollars/hour = 10/2 = 20/4 = 30/6 = 40/8 = 5
The "rate of change" is constant at $5 per hour.
The function represents direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Answer:
x = 4.25
Step-by-step explanation:
First, alter the equation until both exponents have the same base. We know that 9^3 is 27. Therefore, we can change 27^(x-3) into 9^3(x-3).
Now, the equation can be written as 9^(8-x) = 9^(3x-9)
Now that the bases are the same, we can cancel them out and just solve for the exponents. This will look like:
8-x = 3x-9.
8 = 4x - 9
17 = 4x
x = 4.25
Answer: 

<u>Step-by-step explanation:</u>
The line can be named using ANY two points on the line or using the lower case letter.
The segment can be named by placing the letters in any order.

Answer:
100000
Step-by-step explanation:
You multiple 125000 with .20 you get 25000 then you subtract 25000 fro 125000 and you get 100000 and that's your answer.