Priya is buying raisins and almonds to make trail mix. Almonds cost $5.20 per pound and raisins cost $2.75 per pound. Priya spent $11.70 buying almonds and raisins. The relationship between pounds of almonds a, pounds of raisins r, and the total cost is represented by the equation 5.20a + 2.75r = 11.70 How many pounds of raisins did Priya buy if she bought 0.41 almonds? Round your answer to 2 decimal places.

3.48pounds

Step-by-step explanation:

given data

cost of Almonds= $5.2

cost of raisins= $2.75

total cost = $11.7

 given that the relationship that represents the cost for the two quantities is

5.20a + 2.75r = 11.70

where a= almond

          r= raisin

we are going to substitute a=0.41 in the expression to solve for r

5.20(0.41) + 2.75r = 11.70

2.132+2.75r=11.7

collect like terms

2.75r=11.7-2.132

2.75r=9.568

r=9.568/2.75

r=3.48

So we know that  isosceles triangles have 2 sides of equal lengths and a third side. also, two angles are equal with the third is not. since the sides meet at an angle of 40, we know that the missing angle must be 180 - 40 - 40 = 100 degrees.we also know one side (c) = 18 inches. so since we have an angle of 100 degrees across from a side length (18), we can find the other side lengths (a and b)a/sina = b/sinb = c/sinc    (a/b/c are sides, a/b/c are angles)18/sin100 = b/sin40 so b=11.7 inches so a is also a=11.7 inches