Renee wants to solve the system of equations. Which number can she multiply the first equation by so that when the two equations are added together, the y term is eliminated? Two-thirds x + one-fifth y = 6 One-sixth x minus 3 y = 8 –15 –5 5 15

15

Step-by-step explanation:

The given equations are as follows:

The coefficient of y in the second equation is -3.

So in order to eliminate y we need to multiply the first equation by a value so that the coefficient of y becomes 3.

Since the coefficient of y in the first equation is \[\frac{1}{5}\], it needs to be multiplied by 15.

So the required multiplier for the first equation is 15

he can buy 4lbs. of live bait and 1lbs of natural bait

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4