Problem 1: the events committee buys 100 flowers for a school dance. The flowers are a combination of carnations and roses. Each carnation costs $0.75, and each rose costs $2.75. The committee spends a total of $139, not including tax. How many of each type of flower does the committee buy?
Problem 2:
A membership at Gisele’s Gym costs $145 to join and $3 for each visit. A membership at Freddie’s Fitness costs $75 to join and $5 for each visit. How many visits are needed to have the gym membership cost be the same?

Define the variables for each
Write a system of equations for each
Solve each system

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes

Ascientist has 50 grams of a radioactive element. the amount of radioactive element remaining after t days can be determined using the equation (1) after two days the scientist receives a second shipment of 50 grams of the same element. the equation used to represent the amount of shipment 2 remaining after t days is 10) - 50 which of the following is an equivalent form of the expression for the amount remaining in shipment 2? what’s the answer?

What is the sum of the first 8 terms of the geometric series