Basic Math Questions and Answers

1 8 m rigid tank contains steam at 220 C One third of the olume is in the liquid phase and the rest is in the vapor form Determine the pressure of the steam A 104 kPa B 2105 9 kPa C 2319 6 kPa D 2597 3 kPa Steam 1 8 m 220 C

The graph shows the some of the countries national debts during a certain time period The national debt of A during a certain time period was 1 62 x 10 1 Write it in standard notation National Debt in billions 300 250 200 150 100 50 Selected Countries and Their National Debt A B HI D C Countries E

The bar graph to the right shows estimates of the top six national debts in trillions of dollars Use the bar graph to estimate the national debt of Country B and then express it in both standard and scientific notation National Debt in trillions of dollars ONA OA 4 000 000 000 000 O C 4 000 000 000 18 CONFO 16 14 12 10 8 6 A B Top Six National Debts Express the national debt of Country B in standard form E F OB 15 800 000 000 OD 15 800 000 000

1 31 22 13 4 5 2 14 27 40 53 66 6 27 16 5 6 17 9 6 Directions Write a rule for each sequence then find the indicated term 4 2 1 4 7 10 a xf four terms of the sequence 3 3 7 5 12 16 5 21 10 If a 104 and a 328 find d 5 52 44 36 28 20 a37 7 19 2 17 4 15 6 13 8 12 ast Directions Use the information given to find the indicated value 8 If a 83 and d 7 find a24 9 If a 54 and d 2 find a 11 f a 12 and a2 42 find a

The graph shows some of the countries national debts during a certain time period The national debt of C during a certain time period was 111 000 000 000 Write it in scientific notation 111 000 000 000 BULOB 300 250 200 150 100 50 0 Selected Countries and Their National Debt A B C Countries D E

Use divisions to convert the base ten numeral 2294 to base seven

3 A boat in a river travels 2 miles upstream in the same amount of time it can travel 6 miles downstream In still water the speed of the boat is 10 miles per hour What is the speed of the river current

2 Malia and Aaron are planting vegetable seeds in a garden Malia could plant the seeds in 6 hours and Aaron could plant the seeds in 12 hours Working together how long would it take them to plant the seeds DEVIC

6 Marks b 3xy 5x 2y 1 2xy 3y 2 7x

5 eBook Hint Print ferences Martinez Company s ending inventory includes the following items Product Helmets Bats Shoes Uniforms Units 25 18 39 43 Cost per Market per Unit 57 Helmets Bats Shoes Uniforms Inventory Items Units Compute the lower of cost or market for ending inventory applied separately to each product Unit 53 81 98 39 25 18 39 43 Per Unit Cost 75 94 39 Market 53 81 98 39 57 75 94 2 39 Cost Total Market LCM Applied to Items

would be your ending balance Your answer How much interest does 5 300 earn at a rate of 2 8 interest compounded quarterly in three months Your answer How much interest would 2 000 earn with simple interest in two years at the rate of 1 2 Your answer How much interest would 2 000 earn in one year at the rate of 1 2 Your answer Margaret deposits 1 000 in a savings account that pays 1 4 interest compounded semi annually What is her balance after one year Your answer Jeff deposits 2 300 at 1 13 interest compounded weekly What will be his ending balance after one year Your answer Eric deposits 4 700 at 1 03 interest compounded continuously for five years How much interest did the account earn Your answer If you deposit 10 000 at 1 85 interest compounded continuously what would your ending balance be after three years 1 point 1 point 1 point 1 point 1 point 1 point

2 points eBook Hint Print References Walberg Associates antique dealers purchased goods for 39 500 Terms of the purchase were FOB shipping point and the cost of transporting the goods to Walberg Associates s warehouse was 2 200 Walberg Associates insured the shipment at a cost of 350 Prior to putting the goods up for sale they cleaned and refurbished them at a cost of 690 Determine the cost of inventory Cost of inventory Total cost of inventory Check my work

A small island nation is made up of four islands A B C and D There are 127 seats in the congress which are apportioned among the islands according to their populations The table below gives the island populations as percentages of the total population of the nation Find the apportionment of the congress under Jefferson s method Hint Express the modified divisors in terms of percents of the total population and look for suitable divisors in the interval 0 69 to 0 79 Island Population Percentage Complete the table below Island Population Percentage Apportionment A 6 26 A 6 26 B 26 13 B 26 13 tre 28 45 C C 28 45 D 39 16 D 39 16

There are many common obstacles to undertaking an effective analysis but you can improve your work by O Keeping it light and not boring the reader with too many details Situating yourself as an advocate or opponent of the subject under analysis O Deciding beforehand what the analysis will prove Putting aside preconceived ideas or judgments

9 Describe a relationship between two variables and y that would NOT be considered a function In your description be sure to define the two variables and provide any units and explain why the relationship is not a function

1 A recipe for sugar cookies requires 2 cups of flour for every cups of sugar At this rate how many cups of sugar should be used if 5 cups of flour is included 3 In order to make a serving for four 12 cups of chopped vegetables are needed Based on this information determine the amount of chopped vegetables needed to make a recipe for ten 5 5 of the house If gallon of paint covers then how much paint is needed for the entire house gallon Pont Cover 1 4 20 4 54 20 13 7 A smoothie recipe calls for 2 cups of frozen mango If the recipe serves two how many cups of frozen mango is needed to serve one 2 A 5 pound carton of clementine oranges is priced at 4 30 What is the price per pound of clementine oranges 4 Asher pays 156 every 6 weeks for piano lessons What is the price per year for piano lessons 6 Laundry detergent is priced 20 ounces for 3 40 or 14 ounces for 2 10 What is the unit rate of the laundry detergent that is the better value 8 A pool pump fills of the pool in hour How much of the swimming pool is filled in one hour

1 A restaurant worker pours 3 402 fluid ounces of orange juice into pitchers that hold 33 fluid ounces each To find the number of pitchers that can be filed the worker begins to solve this division problem 33 3 402 33 10 What digit belongs in the box A O C2 D3 81 2 A landscape company delivers 29 bags of pine mulch to a customer Altogether the bags weigh 2 262 pounds How many pounds does each bag weigh A 38 lb B 78 lb C 39 lb D 71 lb 3 A 12 fluid ounce can of soda contains 42 grams of sugar There are 8 610 grams of sugar in the cans of soda in a vending machine How many cans of soda are in the vending machine Write your answer in the space provided cans 4 Cuser s basketball team collected a total of 7 437 in season ticket sales The price of s season ticket is 37 He wants to know ho many season tickets were sold Which shows a strategy Cesar could use A 7 437 37 17 400 37 37 37 B 7 437 37 7 400 37 3737 C 7 437 37 37 x 200 37 x 1 D 7 437 37 74 37 3 37 7 37 5 Mr Arcinega will buy water bottles for the 7 175 runners who entered the Tri State 5K Fun Run The water bottles are packaged 18 per case What is the least number of cases Mr Arcinega needs to buy so that each runner will have at least one water bottle A 398 B 380 C 399 D 400 6 A chef bought 2 852 cherries for pies He put exactly 78 cherries in each pie The chef had some cherries left over so he purchased extra cherries to complete 1 more pie How many extra cherries did the chef need A 34 B 44 C 56 D 36

fold along this edge and staple I can evaluate 0000000 37 53 12 5 0

Jessica is making covers for the throw pillows on her sofa For each pillow cover she needs 21 yard of 1 print fabric and yard of solid fabric What is the tal amount of fabric Jessica needs for each pillow 15 cover Write your answer as a reduced fraction

The square shown has sides of length 72 decimeters Find its area The area of the square is equal to

The vault shown is in the shape of a cube If each side is 3y feet find its volume The volume of the vault is 3y

The rectangle to the right has width 8x5 feet and length 7x feet Find its area as an expression of x The area of the rectangle is Simplify your answer 8x feet 7x feet

The number of serce in the product is the same as the exponent 800 10 8 000 10 x 10 80 000 andard form is 80 000 x 10 x 10 x 10 with an exponent 10 with an exponent he standard form of 107 Write this number in standard form Use patterns to help 4005 7 10 x 100 7 x 1 000 7x10 000 4 000 16 20 x 100 X 10 9 3 x 104 13 10 000 x 2 Exponents and Powers of 10 mber of zeros in the product for 6 5 10 5x10 5 103 5x104 10 1 000 9 14 8 x 105

Multiply 6y 6 6y 6 1 Simplify your answer Do not fac

Multiply a 5 a 8a 8 a 5 a 8a 8

The number of vinyl album sales in millions in a country x years after 2010 is given by the polynomial 2 0 16x 0 9x 3 3 for 2010 through 2016 Use this model to predict the number of vinyl album sales in the country the year 2030 x 20 The number of vinyl album sales in the country in the year 2030 will be Simplify your answer Type an integer or a decimal million

Simplify the expression 10 4 5x 3y 10 4 5x 3y

Simplify the expression 4k 2k 5 4k 2k 5

Factor out the greatest common factor from the polynomial 4x 8 4x 8 Type your answer in factored form

Find the area of the rectangle The area of the rectangle is cu yd yd 5x 7 yards Simplify your answer 5x 7 yards

Use the distributive property to write the following expression without parentheses Then simplify the resul 5 4x 4 2 5 4x 4 2

Perform the indicated operation Don t forget to simplify if possible Subtract 6x 4 from 2x 5 The result of subtracting 6x 4 from 2x 5 is Simplify your answer

Write an expression for the length of the rectangle Hint Factor the area binomial and recall that Area width length Area is 3x 9x square units 3x units

Factor out the GCF from the polynomial 4x 20y 4

Find the GCF for the list 7 4 7 75a b c 45a b C 3

Find the GCF for the list 4 5 3 175x 35x 7x

Find the GCF for the list 3 6x 15x

Find the area of the triangle 10x inches 3x 1 inches

Find the area of the rectangle 4x 7 yards 4x 7 yards

Manually show your detailed work finding the mean median and mode for the following data Use at least four digits to the right of the decimal when rounding 24 65 61 32 87 52 60 98 31 53 76 98 23 54

In Australia there were 4 494 dialysis patients and 4 010 transplant dependent patients At that time there were approximately 9 4 million citizens in Australia What is the prevalence rate for transplant dependent patients per million Remember this is the constant so you multiply by 1 000 000 O 478 1 per million O 426 6 per million O 468 3 per million 4322 per million

Americans spent 277 billion on new automobiles in 2017 How much is that per person assuming the US population is 327 million Round your answer to the nearest tenth

Use the Venn diagram to answer the question In 2016 among the top 100 grossing movies in a particular country 12 were rated PG 13 and earned over 100 million The number of movies that were rated PG 13 that earned less than 100 million was 44 The number of movies that were not rated PG 13 that earned less than 100 million was 32 What was the number of movies that earned over 100 million and that were not rated PG 13 The number of movies that earned over 100 million and were not rated PG 13 was Type a whole number CO

Use a Venn diagram to answer the question At East Zone University EZU there are 738 students taking College Algebra or Calculus 480 are taking College Algebra 298 are taking Calculus and 40 are taking both College Algebra and Calculus How many are taking Algebra but not Calculus OA 698 B 258 O C 400 D 440

Find the complement of the set x x is an integer strictly between 0 and 25 if the universal set U is the set of all integers OA x x is an integer 20 OB x x is an integer 25 OC xlx is an integer 0 or 25 OD x x is an integer 20 or 25

where C 57 3 4 5 C C C e3 3 10 log27 C 3 7 x 106 10 25 x 105 23366 23 x 6 3 x 1011 Use the appropriate built in functions for the exponent the logarithm the trigonometric functions Only display the values of A B and C to the Command Windo using format short All variable values can be found in the Workspaco

Perform the following calculation write your answer to the correct number of significant figures You must write your answer as a standard number like 695400 or 0 00004257 not in scientific notation 2 1 x 10 2 5 33 10 8 358 x 10 4 7 30 10 6 Type your answer

Solve each equation by taking square roots Round final answers to nearest tenth if need 13 5n 19961 14 7n 10935 15 8 16k 824 17 2 17x 2059 16 9x 8 152 18 8 4p 896

Solve each proportion 1 3 5 p 1 p 6 n 7 10 n 3 7 8 2 11 2 8 6r r 1 2 3 6 8 4 V v 2 3 n 7 n 1 V 7 10 5 11 p 6 P

Solve each equation for the indicated variable 7 c 2x d 9r for x 3ab 9 g for a C 11 z ma b for a 8 u y kx for x 10 6a kw 5v for a 12 r d for a a