Answer:
Assume x is directly proportional to y :

when y is 9, x is 2:
substitute to find value of k :

Therefore, equation is:

Your answer would be 46.50 because you would divide 31 in half (for the 50%) then add that to the 31. So 31+15.50= $46.50 hope this helps. If not let me know
Step-by-step explanation:
Let vertical height of ladder from ground be y and
horizontal distance of the base of the ladder from the wall be x respectively.
Length of the ladder = l (constant) = 10 ft
<u>Using Pythagoras theorem</u>:

Differentiate both sides w.r.t time


<u>We know that</u> (After 1 sec, y = 6 ft and x = 8 ft ; dy/dt = 2 ft/sec)


<u>( Ignore - ive sign)</u>
Therefore, bottom of the ladder is sliding away from the wall at a speed of 1.5 ft/sec one second after the ladder starts sliding.
Answer:
p=1
Step-by-step explanation:
5(p+3)=18+2p
5p+15=18+2p
5p-2p=18-15
3p=3
p=<u>3</u>
3
p=1
Answer:
Equation to solve is x+x+120=180
Solution to equation: x=30
Step-by-step explanation:
The angles in a triangle have a sum 180 degrees.
You know one angle is 120 degrees.
If you assume another angle has a measurement of x degrees, then the remaining angle has a measurement of x degrees. We know this because congruent means they will have the same measurement.
So we have this equation to solve:
x+x+120=180
Combine like terms:
2x+120=180
Subtract 120 on both sides:
2x=180-120
Simplify:
2x=60
Divide both sides by 2:
x=60/2
Simplify:
x=30