exam Maths Puzzle Numerical Ability

A nut mixture consists of almonds and cashews. Almonds are $4.98 per pound, and cashews are $6.98 per pound. How many pounds of each type of nut should be mixed to produce a 16 pounds selling for $5.73 per pound.

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The equation of a circle with centre O(0, 0) is x� + y� = 10. The points C(3, 1) and D(1, -3) are the endpoints of chord CD. EF right bisects chord CD at G. Verify that the centre of the circle lies on the right bisector of chord CD.

thank you Could you please take the time to help me solve this problem: Using Geometric Approach, maximize P = 4 x + 6 y, subject to the constraints x > 0, y > 0,
2 x + 4 y < 24, and 4 x +