A little kid running a lemonade stand sells small and large beverages. Each small beverage sells for $2 a each large beverage sells for $5. Small beverages require 4 lemons and 6 tablespoons of sugar each. Lar beverages require 5 lemons and 10 tablespoons of sugar each. She has 100 lemons and 180 tablespoons sugar. How many of each beverage should she sell to maximize her earnings? HINTS: The unknowns are the number of small beverages and the number of large beverages, so your variables x and y should represent these. You'll get one inequality from the number of lemons availabl and another inequality from the tablespoons of sugar available. Also, you can't sell a negative number beverages of either size, so x > 0 and y > 0. Number of small beverages: Number of large beverages: Redo the same problem assuming that the price of large beverages is $3 instead of $5. Number of small beverages: Number of large beverages:
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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