Answer:
each hot dog costs $3
Step-by-step explanation:
$18÷6 hotdogs=$3 or $3×6 hotdogs=$18
Answer:
yes
Step-by-step explanation:
Answer: Choice B) (24,10)
---------------------------------------------------------
Work Shown:
2x - 4y = 8
2( x ) - 4y = 8
2( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-6
2(3y)+2(-6) - 4y = 8
6y-12 - 4y = 8
2y-12 = 8
2y-12+12 = 8+12 ... add 12 to both sides
2y = 20
2y/2 = 20/2 ... divide both sides by 2
y = 10
If y = 10, then
x = 3y-6
x = 3*10-6 ... replace y with 10
x = 30-6
x = 24
Put together, the solution is (x,y) = (24,10)
which is why the answer is choice B
As a check, we can plug (x,y) = (24,10) into each equation
x = 3y-6
24 = 3*10 - 6
24 = 30 - 6
24 = 24 ... true equation
and similarly for the second equation as well
2x-4y = 8
2*24 - 4*10 = 8
48 - 40 = 8
8 = 8 ... true equation
Both equations are true when (x,y) = (24,10) so the solution is confirmed
For this case, we must find the inverse of the following function:
We follow the steps below:
We exchange the variables:
We put the variable y on the left side of the equation:
We apply logarithm properties:
So:
Answer:
Option B
Answer:
6=p
Step-by-step explanation:
We want to isolate p, so we can first multiply by p on both sides.
24/p=4
24=4p
Then, divide by 4.
6=p
