Basic Math Questions and Answers

Calculate the missing values in the following table Round to four decimal places wherever applicable a b C Percent 1 3 7 Decimal 2 5 Fraction or mixed number in lowest terms 00 250

6 each can break apart a 9 X 6 array into two smaller arrays for facts you know One way is to think of 9 as 5 4 Draw a line to show this way Then find the product 9 6 x 4x6 9 6 5 4 So Mark spent for 9 fish Share and Show 1 Draw a line to show how you could break apart this 6 X 8 array into two smaller arrays for facts you know What numbers do you multiply 3 and and 3 and Math Board What numbers do you add 6x8 6X 6x8 5x8 6x8 x 2

Assume that of the 330 000 people who immigrated to Canada in 2010 14 35 were from China 9 4 were from the Philippines and the rest were from other countries a Calculate the number of people who immigrated to Canada from China Round to a whole number b If the combined number of immigrants from China and the Philippines constituted 0 185 of the population of Canada calculate the population of Canada in 2010

Calculate P A or B in the following scenarios a P A 0 608 P B 0 135 A and B are mutually exclusive P A or B Round to 3 significant digits b P A 0 229 P B 0 204 P A and B 0 042 P A or B Round to 3 significant digits

Bryan and his two sisters purchased an office for 600 000 Their individual investments in the office were in the ratio of 10 2 8 respectively After the purchase they decided to renovate the office and purchase furniture so each of them invested an additional 40 000 Calculate the new ratio of their investment after the additional investments Express the ratio reduced to lowest terms

Evaluate the following expression 3a 8b15c 2a 5b 6c 3 where a 3 b 3 and c 5

The value of a currency appreciated by 5 10 of its value last month and then depreciated by 5 10 this month By what percent did the currency appreciate or depreciate over the 2 month period Express the answer with a positive sign for appreciation or negative sign for depreciation rounded to two decimal places

Arrange the following measurements in order from largest to smallest and select the correct answer click to select 5 4 L 7 5 qt 12 pt 1 gal 12 pt 7 5 qt 5 4 L 1 gal 7 5 at 12 pt 5 4 L 1 gal 5 4 L 7 5 qt 12 pt 1 gal

Given that x O a Ob O C 4 x 4 x 8 12 8 X 4 y 8 which one of the following represents y

Convert the measurements to the units indicated a 6 m b 92 cm c 0 92 km cm mm m

Subtract polynomials 1 3x 2 3x 1 6x 4 9x 3 8x 5 6 x x x 5 6 Write your answer in decimals with one decimal place For example if your answer is 1 write it as 1 0

a Convert 6L 52 mL to litres 6L 52 mL L b Convert 4 223 mL to litres and millilitres 4 223 mL L mL

Based on Melanie s past experience it takes his team 5 months to complete 3 projects How long would it take his team to complete 6 similar projects months Round to 2 decimal places when necessary

A card is drawn from a well shuffled standard 52 card deck of cards Find the probability that it is For your answers round the number to have 2 decimal places if needed a A Jack or black card b An even numbered card

Arrange the following temperatures in order from lowest to highest 181 88 C 287 1 F 100 57 K O 181 88 C 287 1 F 100 57 K 181 88 C 100 57 K 287 1 F O 287 1 F 181 88 C 100 57 K O 287 1 F 100 57 K 181 88 C O 100 57 K 181 88 C 287 1 F O 100 57 K 287 1 F 181 88 C

Convert kilometres per hour to miles per hour Round to the nearest hundredth 115km h to miles per hour mi h

Choose the simplified form for each of the following expressions a 9a 14b4a 3b O 5a 17b O 5a 17b O 23a 7b O 22ab b 13y4y 5y 6y 0 8y 2y O 8y 10y Q 8y 2y

Determine the exponents m and n when the following expression is simplified m n 3 X x 000 x 5 3 xm

Calculate the missing values in the following table a b yards yd 44 feet ft 66 inches in 00 684

Determine the exponent m when the following expression is simplified m 55 xx xm

12 Rachel and Dustin Lutts are self employed photographers They pay 100 percent of the PPO insurance premium of 7 640 annually They al have a dental plan that costs 566 annually and a vision plan that costs 244 annually The premiums are paid quarterly every three months How much do they pay each quarter

Mi T M Corporation is a manufacturer of high quality industrial equipment including power washers and generators The company s expected manufacturing costs for trash cans for th month when 3 200 cans are produced are summarized below Direct material Direct labor Variable overhead Factory depreciation Supervisory salaries 2 50 per unit 1 50 per unit 6 400 9 900 4 300 1 400 Other fixed factory osts hat is the flexible budget amount for a month when 4 200 units are produced

Madison Mulch Company offers natural hardwood mulch and color enhanced mulch Madison Mulch s accountants have produced the following contribution format income statement for January Sales 3 300 units Variable expenses Contribution margin ixed expenses et operating income 128 700 65 637 63 063 47 900 15 163 company sells 3 700 units its total contribution margin should be closest to

Oakwood Middle School is going to select a committee The committee will have a faculty member a male student a female student and a parent Here are the positions and the people interested in each Position People interested Faculty member Mrs Patterson Ms Walker Mr Cook Dr Phillips Male student Abdul Juan Justin Josh Shen Chau Female student Teresa Keiko Yoko Melissa Isabel Maria Ms Hall Dr Henderson Mr Aoki Based on this list how many ways are there to fill the four committee positions Parent X

S to relate a ball s surface area S in square inches to its radius r in inches Suppose a ball has a surface area of 264 6 12 6 We can use the formula square inches What is its radius Round your answer to the nearest tenth inches Y 6

Order these numbers from least to greatest 12 145 12 1 86 7 10 Note that for this question you can use your mouse to drag the numbers into their positions 12 1 10 145 86 7 12 1 3 16 X

A rectangular field is 120 meters long and 80 meters wide Give the length and width of another rectangular field that has the same perimeter but a smaller area width length meters meters X

iple 13 Which of the following numbers is not a prime factor of 1925 ice P 5 7 A B C 11 D 13

b Find the interest Periodic Deposit 80 at the end of each month Rate 3 compounded monthly Click the icon to view some finance formulas Time 30 years a The value of the annuity is Do not round until the final answer Then round to the nearest dollar as needed b The interest is Use the answer from part a to find this answer Round to the nearest dollar as needed Formulas In the provided formulas P is the deposit made at the end of each compoundin period r is the annual interest rate of the annuity in decimal form n is the num of compounding periods per year and A is the value of the annuity after t years A P 1 1 1 nt P A A 1 P A 1 nt

Assume you have taken out a 25 year loan of 177 790 with an annual interest rate of 6 75 compounded monthly a Determine the payment amount in dollars to the nearest cent on the given loan amount 1228 37 b Determine the outstanding balance in dollars to the nearest dollar after 17 years Enter a number

6 A restaurant is building a new addition that has a rectangular seating area with a semi circular windowed alcove as shown below SHOW YOUR WORK 10 marks elevil 3 45 mme will 14 ft 9 in 2 84 m 38 ft 4 in a Find the floor area of the shape in square feet

K State the y intercept and slope of the graph of the equation y 9x 6 The y intercept is 0 The slope is

K Solve the equation for x 3x 4y 2 X Simplify your answer Use integers or fractions for any numbers in the expression

For the given arithmetic sequence find a20 and then find the sum of the terms from a to a20 inclusive 8 9 5 11 12 5 Find a20 a20 Type an integer or a decimal The sum of the terms from a to a2o inclusive is Type an integer or a decimal

Complete the truth table for the given statement by filling in the required columns pv q P 9 TT T F FT F F Complete the truth table P T T n q T LL q PV q pv q F q PV q p v q Next qu

When estimating distances from a table of velocity data it is not necessary that the time intervals are equally spaced After a space ship is launched the following velocity data is obtained Use these data to estimate the height above the Earth s surface at 117 seconds t sec v ft s 0 110 374 462 1122 1320 lower estimate of distance traveled upper estimate of distance traveled 0 5 17 21 51 60 66 117 1602 3999 miles miles Report answers accurate to 1 places This is not meant to be a trick question be careful of the UNITS Question Help Message instruct

Juniper Design Limited of Manchester England is a company specializing in providing design services to residential developers Last year the company had net operating income of 450 000 on sales of 1 100 000 The company s average operating assets for the year were 1 300 000 and its minimum required rate of return was 14 Required Compute the company s residual income for the year Residual income

Complete the table for a savings account in which interest is compounded continuously Round any dollar amount to the nearest cent and any other value to 4 decimal places Initial Investment 5000 Annual Rate 4 Time to Double yr Amount After 10 Years

The price of a home is 120 000 The bank requires a 10 d payment at the time of closing The mortgage on the house is 30 year fixed rate mortgage at 4 Use this information to fin the amount of the monthly payment Round your answer to th nearest cent Use the formula below to solve the problem PMT 810 55 418 97 710 89 P 1 1 x nxt

9 Part 2 of 2 2 points Megamart provides the following information on its two investment centers Income 3 060 000 2 210 000 Average Assets 17 000 000 13 000 000 Investment Center Electronics Sporting goods Compute profit margin and investment turnover for each center Which center generates more income per dollar of sales Which center has the better investment turnover Complete this question by entering your answers in the tabs below Profit Margin Sales 40 800 000 17 680 000 Investment Turnover Compute profit margin for each center Which center generates more net income per dollar of sales Investment Center Electronics Numerator Answer is complete but not entirely correct Income 3 000 000 Profit Margin Denominator l Average invested assets X Return to question Profit Margin

10 Part 1 of 2 2 points TUI CULTTUIVISION COmpute comp 1 return on investment 2 profit margin 3 investment turnover Complete this question by entering your answers in the tabs below Required 1 Required 2 Compute investment turnover Division Beverage Cheese Required 3 Numerator Operating income Answer is complete but not entirely correct Investment Turnover Denominator 1 X 7 400 X 13 600 X Average assets XX3 3 360 X 5 480 X Investment turnover 2 20 2 48 Return to quest

According to the American Time Use Survey in 2005 17 5 of Americans aged 15 and older participated in sports exercise and recreation on an average day in 2014 19 1 participated on an average day Source U S Bureau of Labor Statistics Show all work to receive credit a Model this information with a linear equation b Use your model to estimate the percent of Americans aged 15 and older who will participate in these activities in 2024

It takes 20 hours and 400 to interview a candidate and it takes 120 hours and 3600 to train an employee A company has less than 95000 to interview and train employees and it wants to spend at most 470 hours to do so Let C denote the number of candidates they interview and E the number of employees they train Write an inequality that represents the condition based on the number of dollars the company can spend Write an inequality that represents the condition based on the number of hours the company wants to spend

2 Determine if each of the following is a group a monoid that is not a group a semigroup that is not a monoid or not a semigroup Explain your answer for each one i Z addition on the set of positive integers ii Q subtraction on the set of rational numbers iii C32 addition on a 32 hour clock C 0 multiplication on a 15 hour clock with 0 removed

Z W Z W W X X y y Z 1 The multiplication table above is defined on the set S x y z w i Is S closed under Explain why or why not O

What is the output 100 Points fruit banana print fruit 3 end print fruit 2 end print fruit 4 1 end print fruit 1 end

03 Question 6 points Although there are clear benefits to free trade governments impose tariffs to protect domestic industries The figure below illustrates the effects of a per unit tariff placed on shoes Without trade the equilibrium domestic price of a pair of shoes is 140 With free trade the domestic price of a pair of shoes falls to the world price of 100 If the government imposes a tariff of 20 the domestic price increases to 120 Use the information in the figure to answer the questions that follow 1st attempt Part 1 1 point When there is no tariff Part 2 1 point With the tariff Part 3 1 point Price PD 140 P 120 Pw 100 A 150 200 pairs of shoes are imported pairs of shoes are imported 350 400 Somestic only Swith tariff Domestic Ste rade Quantity shoes See Hint See Hint See Hint

The table below provides some trade data for the United States and Mexico Use the information in the table to answer the questions that follow All numbers are in billions of U S dollars Computers Financial services Education services Household appliances The U S trade balance in goods is equal to Part 2 1 point The U S trade balance in services is equal to S Part 3 1 point Exports to Mexico 100 40 30 100 billion billion Imports from Mexico 100 30 10 120 See Hint See Hint

A set of test scores is normally distributed with a mean of 100 and a standard deviation of 5 Use the 68 95 99 7 rule to find the percentage of scores in each of the following categories a Greater than 100 b Greater than 105 d Less than 110 f Less than 105 h Between 95 and 105 c Less than 95 e Less than 90 g Greater than 95 a The percentage of scores greater than 100 is 50 Round to one decimal place as needed b The percentage of scores greater than 105 is 16 Round to one decimal place as needed c The percentage of scores less than 95 is 16 Round to one decimal place as needed d The percentage of scores less than 110 is 97 5 Round to one decimal place as needed e The percentage of scores less than 90 is

15 Given a 3 b 5 and b 7 determine bl