Please show ALL work for each question. The rubric is in the link. https://intervisualtechnology.us/pxudpothrb/167/17...1. Solve the system of equations below both algebraically and by graphing. Be sure to show all of your work and state your solution as an ordered pair.2. The population of a country is initially 2.5 million people and is increasing by 0.8 million people every year. The country’s annual food supply is initially adequate for 4 million people and is increasing at a constant rate for an additional 0.4 million people per year.a. Based on these assumptions, in approximately how many years will the country first experience shortages of food?b. If the country doubled its initial food supply and maintained a constant rate of increase in the supply adequate for an additional 0.5 million people per year, would shortages still occur? If so, how many years would it take for shortages to occur? If not, explain.c. If the country doubled the rate at which its food supply increases, in addition to doubling its initial food supply, would shortages still occur? If so, how many years would it take for shortages to occur? If not, explain.3. Springfield will be opening a new high school in the fall. The number of underclassmen (9th and 10th graders) must fall between 500 and 600 (inclusive), the number of upperclassmen (11th and 12th graders) must fall between 400 and 500 (inclusive), and the number of students cannot exceed 1000.

The spinner below is spun twice. What is the probability that it will land on a red and green? Round to the nearest tenth of a percent.3.1%37.5%2.8%1.6%Brittany’s cat just had kittens. There are 3 white kittens, 2 black kittens, and one tabby cat. If she gives two cats to her cousin, what is the probability that one will be white and the other will be black?66.7%40%30%10%There are 52 teams in the NFL. The Seattle Seahawks won the Super Bowl last year. Which expression shows the probability that they will also win the next two years?A. B. C. D. The distribution of letters in a Scrabble game are given below. If 7 pieces are taken from the 100 piece set and Y is considered a consonant, what is the probability that the first two pieces chosen are vowels? Round to the nearest tenth of a percent.17.6%17.4%17.2%7%A magician is doing a magic trick with a standard deck of cards. He asks Melissa to draw a card at random and then replace it. Then he asks Brandon to draw a card from the deck. What is the probability that both Melissa and Brandon draw a spade? Round to the nearest tenth of a percent.6.3%5.9%0.6%0.5%The distribution of letters in a Scrabble game are given below. If 7 pieces are taken from the 100 piece set, what is the probability that the first two pieces chosen are “S” and the third is an “E”?A. B. C. D. Each of the spinners below is spun once. What is the probability that both spinners land on a 3?1/97/121/122/7Each of the spinners below is spun once and then added. What is the probability that the sum is odd?1/23/71/61/12A box of ice pops has 3 blueberry, 3 cherry, 2 lemon, and 2 orange ice pops. Mark, Brad, and David all take ice pops out of the box randomly. What is the probability that Mark and Brad will get cherry and David will get lemon?1/1209/5001/603/225There are 10 contestants are competing on a singing show. 6 of them are females and 4 are males. Each week a contestant is voted off of the show. What is the probability that 3 females are voted off in the first 3 weeks?3/53/2527/1251/6