Which represents 23
as the sum of a whole number and a fraction?

3+5/6

Step-by-step explanation:

you can check by multiplying 3 to the denominator (6) which is 18 and adding it to the numerator (5) to make it 23/6.

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

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