a number c minus is no more than

and in the decimal system. How many digits are there in these two numbers all together? C.1379. Alex and Burt took their rabbits to a whole salesman to sell them to him at once. Each of them got as many dollars for each of their rabbits as many as the rabbits they each took to him. But, because their rabbits were so beautiful, they each got as many extra dollars for their rabbits from the salesman as many as the rabbits they each sold him. This way Alex received $202 more than Burt. How many rabbits did they each sell to the salesman? C.1380. How many {a, b, c} sets are there containing three positive whole elements, where the product of a, b, and c is 2310? C.1381. Let a, b, c, and d be different digits. Find their values so that the following sum has the least possible number of divisors, but the sum itself is the greatest possible. C.1382. Fill in a 25×25 grid by using the numbers +1 and -1. Create the products of the 25 numbers in each column and in each row. Could the sum of these 50 numbers be: a) 0 b) 10 c) 17? C.1383. Is there such a triangle in which the heights are 1, 2, and 3 units long? C.1384. You put a plain on each side of a regular, square-based pyramid. How many sections do these 5 planes divide the space?

tate sales tax. If the state’s population includes about 2,000,000 adults, what is the best estimate for the number of adults in the state who would support the tax increase? A 20,000 B 74,000 c 800,000 D 1,000,000

function C = 65t + 30 where t is the time in months. (a) Calculate the gym membership cost over a six month period. (b) Sketch the graph of the function C = 65t + 30 for t ≥ 0. (c) Calculate the time, t, in months, when the total cost reaches 290 AUD. In the neighbouring Nicolo’s Gym, the initial payment is 75 AUD higher than in Paolo’s Gym, however the monthly fee is lower at 30 AUD per month. (d) Determine the number of months it takes for the total cost to be less by attending Nicolo’s Gym in comparison to Paolo’s Gym.

ne. You buy product A for $16 and sell it for $19. Each unit of product B brings you $12 of profit and each unit of product C costs $31. You lost your inventory books but you have the following information about the last month: Your total profit was $17,334 The total number of products B and C you sold were 1,269 The only delivery of product C you received was for $15,531 You fulfilled an order for one product A and one product C and you charged the customer $56. Find the number of sold items and the profit for each product.

ne. You buy product A for $16 and sell it for $19. Each unit of product B brings you $12 of profit and each unit of product C costs $31. You lost your inventory books but you have the following information about the last month: Your total profit was $17,334 The total number of products B and C you sold were 1,269 The only delivery of product C you received was for $15,531 You fulfilled an order for one product A and one product C and you charged the customer $56. Find the number of sold items and the profit for each product.

etween. * A B D 3. Which shows the following numbers in order from least to greatest? * B C D 4. Which is the best name for this group of numbers? * A B D 5. Which point on the number line best represents √3? * A B C For question 6 and 7, write each number in either scientific notation or standard notation. 6. The diameter of Mercury is 4879 kilometers. * 7. The diameter of a bacterial cell called a mycoplasma is about 2 x 10-7 meter. * 8. In which group are the numbers in order from greatest to least? * B C D 9. Greg found the length of a hypotenuse of a right triangle to be √90 feet. Between which two integers does √90 lie? * A B C 10. Which is the best name for this group of numbers? * A C D 11. The water levels of five Texas lakes were measured on the same day in 2010. The table below shows the number of feet above or below normal level for each lake. Which list shows the numbers in the table from greatest to least? * B C D 12. Which numbers from this list are less than -0.94? * B C D 13. The length of a micrometer is approximately 0.00003937 inch. How would you express this in scientific notation? * A B C 14. The National Park Service manages approximately 84,000,000 acres of federal land. How would you express this number using scientific notation? * B C D 15. Seismosaurus is the longest known dinosaur. It measured 1800 inches. How far would 3000 Seismosaurus dinosaurs span if they were placed head to tail? Write your answer in scientific notation. *

at Company A? What is the cost to rent a bicycle for 6 hours from each company? Company A: c 5 5h 1 4, where c 5 total cost (in dollars) and h 5 number of hours Company B: $6 per hour per bicycle

​n(A)equals14​, ​n(Upper A intersect Upper B intersect Upper C​)equals4​, ​n(Upper A intersect Upper C​)equals11​, ​n(Upper A intersect Upper B prime​)equals8​, ​n(Upper B intersect Upper C​)equals9​, ​n(Upper A prime intersect Upper B prime intersect Upper C prime​)equals21​, ​n(Upper B intersect Upper C prime​)equals4​, ​n(Upper B union Upper C​)equals33 Complete the Venn diagram. \

s of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink? 5. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k? 9. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole. 22. What is the greatest value of c for which the roots of the equation x^2 + 4x + c = 0 are real? 24. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places. 7, 24 and 25 A._________________ (smaller value) B._________________ (larger value)

2. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places. A._______________________ (Smaller Value) B. _______________________ (Larger Value) 3. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole. 4. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k? 5. If 8 ounces of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink? 6. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value of x?

is Imagine that in the voting for a certain​ award, 7 points are awarded for first​ place, 4 points for​ second, 3 points for​ third, 2 points for​ fourth, and 1 point for fifth. Suppose there were five candidates​ (A, B,​ C, D, and​ E) and 47 voters. When the points were​ tallied, A had 155 ​points, B had 173 ​points, C had 170 ​points, and D had 154 points. Find how many points E had and give the ranking of the candidates.​ (Hint: Each of the 47 ballots hands out a fixed number of points. Figure out how​ many, and take it from​ there.)