Nicholas bought 5 pens for $3 at this rate how much will he spend on 8 pens

First, you would want to find the price of 1 pen, since 5 pens doesn't go into 8 pens evenly. To do this, you would have to divide 5 pens and $3 by 5, because remember, whatever you do to one side, do to the other. Anyways, 5 pens divided by 5 is 1 pen, and $3 divided by 5 is $0.60, so the price of one pen is 60 cents. To find the price of 8 pens, multiply $0.60 by 8. That gives you $4.80, so the price for 8 pens is $4.80. 

Divide 3 by 5 to find the price of each one and then multiply it by 8 to find how many for 8

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12