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1. Sharing fruit
Apples are collected in a basket for six people. One third, one fourth, one eighth, and one fifth of the apples are given to four people, respectively. The fifth person gets ten apples, and one apple remains for the sixth person. Find the original number of apples in the basket.
2. Music lessons
Band members at Colchester Middle School are expected to average at least 20 min of practice time per day. One week Monroe practiced 15 min, 28 min, 30 min, 0 min, 15 min, and 25 min. How long must he practice on the seventh day if he is to meet expectations?
Solve the equation by graphing.
Make the following equations in exponential form
Define (C_G)(H) = {g is a number in G: g h = h g for all h is a number in H), where H is a subgroup of the group G. Prove that (C_G)(H) is a subgroup of G. Note: (C_G)(H) is called the centralizer of H in G.
Determine a quadratic regression function that represents the distance the ball will travel in terms of its speed when it is hit at a 40 degree angle.
what is the equation of thine that passes through the given point 11 and is perpindicular to the given line
Find the following conditional probabilities.
Write an equation that represents the number of points, p if f represents the number of shots made from the free throw line, and if h represents the number of shots made the number of shots made from half court line in words.
Find compound amount.
Find the center, transverse, axis, vertices, foci and asymptotes. Graph the equation y2-x2=100. Find the equation of hyperbola. Vertices (-1,5) and (9,-5) Asymptote the line y+5=6/5 (x-4). Write the equation of hyperbola and show the graph.
The point A(-1 ; 3) lies in a Cartesian plane. Determine the co-ordinates of the image of A if: A is reflected about the x-axis. A is rotated about the origin through an angle of 900 in an anti-clockwise direction.
imagine a country path d in miles in length which a person walks at a steady pace in t hours. suppose that a straight
Simplify the following inequality
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