Kate and melisa both went to the same store to buy eggs and bread for their families. kate bought 3 cartons of eggs and 5 loaves of bread; she spent $30.07. melissa purchased 2 cartons of eggs and 2 loaves of bread; she spent $14.74. what is the store charging for a carton of eggs? how can i represent this in a bar graph

Answer-

The store is charging $3.39 for a carton of eggs.

Solution-

Let us assume that,

Price of each cartons of egg = x

Price of each loaves of bread = y

Kate bought 3 cartons of eggs and 5 loaves of bread and spent $30.07,

 --------------1

Melissa bought 2 cartons of eggs and 2 loaves of bread and spent $14.74,

   ------------------2

Putting equation 2 in equation 1,

Therefore, the price of a carton of egg is $3.39

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

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