Ginoni the goat is at the bottom of a series of 7 boulders, each higher than the last. She wants to reach the top, where there is a huge patch of grass that she’d like to graze. Being an athletic goat, she sometimes bounds up two boulders at a time; otherwise, she just jumps up one. Ginoni can use both one-Boulder and two-Boulder leaps within an ascent. Starting at the bottom, in how many ways could she reach the grass top? Investigate what happens for different numbers of boulders and explain the pattern of how many different ways she can ascend HEL

What is the answer to the question 5x+2x

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.

Jan accidently ran 7 minutes longer than he was supposed to. write an expression for the total amount of time jan ran if she was supposed to run m minutes