Answer:
If your trying to answer for X, here is how you do it.
For the equation '' Y = 10x + 20 '', isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:
X = Y/10 − 2
Or
X =
− 2
For the other equation " Y = 20x + 10 ", it's the exact same thing. Isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:
X = Y/20 − 1/2
Or
X =
− 
Answer:
f(x) = 0.5x + 15
Step-by-step explanation:
Here, we want to get the total charge
From the question;
we have a flat rate of $15
now, $0.5 per mile for x miles will be a charge of 0.5 * x = $0.5x
We now add this to the flat fee to get the total score
That will be;
f(x) = 15 + 0.5x
Let m = miles
let c = cost
Create a system of equations.
taxi company 1: c = $1.20m + $2
taxi company 2 c = $1.40m + $1
Set both equations equal to each other to solve for variable m.
$1.20m + $2 = $1.40m + $1
Subtract $1.20 from both sides and Subtract $1 from both sides.
$1 = $0.20m.
Divide each side by $0.20.
5 = m.
Plug 5 into one of our original equations for m.
c = $1.20(5) + $2.
Simplify the right side of the equation
c = $8
In conclusion, c = $8 and m = 5
Answer:
The volume of the space outside the pyramid but inside the prism is 225 cubic centimeters.
Step-by-step explanation:
To find this, you subtract the volume of the pyramid from the volume of the rectangular prism.
The prism and pyramid's bases is 25 cm²
The pyramid's height is 12÷2 or 6 cm
The volume formula for a prism is l×w×h
The volume formula for a pyramid is
×b×h
The area of the prism is 5×5×12 or 300 cm³
The area of the pyramid is
or 75 cm³
300 cm³-75 cm³=225 cm³
The volume outside the pyramid but inside the prism is 225 cm³.