CAN SOMEONE PLEASE HELP THIS IS MY UNIT TEST FOR MATH!! 1. Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on labor. She then sells the necklace for $15.99. Lucy’s profit on the necklace is equal to the sale price minus the cost of materials and labor.

(a) How much profit does Lucy earn when she sells a necklace? What fraction of the sale price of the necklace is profit? Record your answer as a fraction using whole numbers.

(b) What decimal of every dollar of the sale price of the necklace is profit? Show your work. Round your answer to the nearest hundredth.

(c) Lucy collected $223.86 selling necklaces at a craft fair. How many necklaces did Lucy sell? How much profit did she earn? Show your work.

Dropping less than two inches per mile after emerging from the mountains, a river drains into the ocean. one day's discharge at its mouth, 5.6 trillion gallons, could supply all of country a's households for seven months. based on this statement, determine how much water an average household uses each month. assume that there are 100 million households in country a. country a uses approximately nothing gallons per household per month.

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

In the following diagram it is given that dec, ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2