Recent content by mathgeek7365

Alan is a jogger that leaves the top of a hill heading for the bottom of the hill. At the same time, Jenny, a biker, heads up the hill attempting to reach the top. They each proceed at a steady rate. After passing each other, Jenny takes 81 times as long to reach the top as Alan takes to reach...

A sightseeing boat is chartered by a social club at the rate of $10 per person. The club guarantees the boat company a minimum of 150 people. The boat company agrees to reduce the rate for all passengers by 5 cents a person for each additional person over the 150 minimum. Write and solve an...

In this diagram, triangleXYZ is inscribed into the circles. O is the center of the larger circle. OZ=x, altitude XO=x-5, and OY=x-9. angleXOZ and angleXOY are both right angles. Using the two similar right triangles OYX, and OXZ, this proportion can be written: OY/OX=OX/OZ Then: (x-9)/(x-5)=...

"Two planes leave a city for another city that us 600 miles away. One of the planes is flying 50 miles per hour faster than the other. The slower plane takes 2 hours longer to reach the city. What is the rate of each plane? Write and solve a system of equations." My daughter is well aware that...

My daughter is stumped, and so am I. A drawer contains socks that are either blue or red. There are twice as many blue socks as red socks. If you select two socks from the drawer without replacement, the chance that you choose first a blue sock and then a red sock is 5/21. How many of each...

My daughter needs my help, and I am stumped. Here is the problem: In the first round of the city soccer tournament, the teams in group A finished as follows: Team------>Goals For------>Goals Against----->Points Naranja---> 4--------------->2-------------------->7 Bleu------>...