Rosemary is building a rectangular garden in her backyard to grow vegetables. She is going to surround the garden with a fence to keep her dog, Duke, from disturbing the plants. She wants the garden to be 7.5 feet wide so that she can plant three rows of seeds. She has only 40 feet of fencing. Place a check mark in the box next to each inequality that Rosemary could use to determine possible length, g, of her garden. A. 7.5g ≤ 40 B. 2(g + 7.5) ≤ 40 C. 2(g − 7.5) < 40 D. 2g + 15 ≤ 40 E. 40 − 7.5 ≤ g

Billy plotted −3 4 and −1 4 on a number line to determine that −3 4 is smaller than −1 4 is he correct? explain why or why not?

The triangles are similar. what is the value of x? enter your answer in the box.

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)